a) Both spheres have the same speed and both reach at the same time.
b) Both spheres will have the same speed at the bottom of the incline.
a) consider the energy conservation and calculate the speed of each sphere
0 + mgH = 1/2mv² + 1/2 Iw² + mgy
Here,
m is mass
g is gravity
H is height
v is velocity
I is inertia
w is the angular velocity
Now potential energy will be zero at the base of the incline (y=0) and there are initial height H then take position 1 to be the top and position 2 to be the generic location.
mg(H-y) = 1/2(mv² + 2/5mr² v²/r²)
v= √(10/7 g (H-y))
So according to the solution, it is clear that velocity is not depending upon the mass or radius of the sphere. Hence both have the same speed and both reach at the same time.
b) According to the result obtained in part (a), both have the same speed at each point along the incline so both will have the same speed at the bottom of the incline.
According to the conservation of energy total kinetic energy will be bottom of the incline is equal to the potential energy at the incline. There are initial potential energy is proportional to the mass sphere so massive spheres have greater kinetic energy.
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a 83.0-kg person is riding in a car moving at 20.0 m/s when the car runs into a bridge abutment. calculate the average force on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm.
The average force applied to the person when he stopped by a padded dashboard is 166×10⁴ N.
An external force is an agent that has the power to alter the body in moving or resting conditions. It can also be described as a push or a pull. It is a vector quantity so it has both direction and magnitude.
The formula to calculate the force applied on an object is F=m×a. Where F is force, a is the acceleration, and m is the mass of an object,
Given mass (m) is 83 kg, initial velocity (u) is 20 m/s, and displacement (s) is 1 cm.
When the dashboard is compressed to stop a car, then the acceleration is calculated using the formula v²=u²+2as where v is final velocity, u is initial velocity, a is acceleration, and s is displacement. Initially, the final velocity is zero. Solving we get,
[tex]\begin{aligned}0&=u^2+2as\\u^2&=-2as\\20^2&=-2\times a\times0.01\\a&=\mathrm{-20000\;m/s^2}\end{aligned}[/tex]
The negative sign indicates that the car is slowing down or decelerating.
The average force on the person riding the car is given by,
[tex]\begin{aligned}F&=83\times 20000\\&=\mathrm{166\times 10^4\;N}\end{aligned}[/tex]
The answer is 166×10⁴ N.
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What is the formula for internal energy change?
The formula of internal energy change is dU=nCdT and dU=q-w
In thermodynamics, the property or function of state that defines the energy of matter in the absence of the effects of capillarity and external electric, magnetic, or other fields.
Like other functions of state, the value of energy depends on the state of matter and not on the nature of the process by which matter reaches that state.
According to the first law of thermodynamics, when a system changes state by a process involving only work, work equals the change in internal energy.
This law also implies that if both heat and work are involved in a system's change of state, the change in internal energy is equal to the heat applied to the system minus the work done by the system.
dU=nCdT
dU=q-w
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Describe the two dimensions of the motion of an object in a circle due to centripetal force.
Circular motion in two dimensions can be analyzed using an equation involving the radius of the object from a specific point and the time required for the object to revolve around the point once.
A centripetal force is a force that causes a body to move in a circular motion. Its direction is always orthogonal to the body's motion and towards the fixed point of the path's instantaneous center of curvature. Centripetal force is the force acting on a curvilinear object that is directed toward the axis of rotation or the center of curvature.Kinematics is the study of body motion and the relationships between position, velocity, and acceleration. We can analyze circular motion as an oscillatory motion on the x-axis and another on the y-axis, both with the same angular velocity. If the two displacements are the same, the movement is circular; otherwise, the movement is elliptical.As a result, a movement in multiple dimensions can be broken down into multiple movements, one in each dimension.To know more about motion visit:
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The wavelength of blue light is greater than red light and its energy is greater. (True or False)
Blue light has shorter wavelengths, 450–495 nanometres, on average. Blue light has a higher frequency and much more energy than red light. The wavelength of blue light is greater than red light and its energy is greater is false.
The wavelength of an electromagnetic wave provides details about its length. The distance here between "crests" (tops) of related waves is known as the wavelength. The same wavelength can also be determined by making observations from the "groove" (bottom) from one waveform to the "trough" of the next.
Examples of electromagnetic fields with particular wavelengths & greater frequency include gamma rays, Cross, and ultraviolet light. Longer wavelengths & lower harmonics of electromagnetic fields include thermal light, microwaves, radio signals, and televisions waves.
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What is the change in the internal energy of a system when a total of 150 J?
The Internal energy change will be constant for 150 J work done and absorption.
The change in internal energy of a reaction can be viewed as the difference in internal energies of two states.Let EA and Eb be the initial energies of state A and state B respectively, then the difference between the initial energies of the two states isΔU = EB – EAΔW=P.ΔVsystem is heated at constant volume and the system can do zero work. Since t expands or touches, heating in constant volume equals change in internal energy.In the second case, heating the system at a constant pressure means that the volume of the system can change. In this case the system can function and the heat supplied is equal to the sum of the internal energy multiplied by the constant pressure times the change in volume of the system.Specific heat cannot be zero , so remaining quantities are null.To know further about Specific heat -
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a thin, straight, uniform rod of length 1.10 m and mass 250 kg hangs from a pivot at one end. what is its period for small-amplitude oscillations?
The period for a small amplitude oscillation on a thin, straight, uniform rod 1.10 m long and 250 kg mass hangs from a pivot at one end = 2.09 s.
Harmonic vibrationHarmonic vibration is the alternating motion of an object through an equilibrium point that has a fixed frequency and period. An example of harmonic vibration is a pendulum.
Period (T) is the time needed to do one vibration. Meanwhile, the frequency (f) is the number of vibrations that occur in one second. The period and frequency of the pendulum depend on the length of the string and the acceleration due to gravity, and are independent of the mass of the pendulum. The period and frequency of the pendulum can be expressed using the following equation:
T = 2[tex]\pi[/tex][tex]\sqrt{\frac{L}{g} }[/tex]
f = [tex]\frac{1}{2\pi }[/tex] [tex]\sqrt{\frac{L}{g} }[/tex]
Where,
T = period (s)
f = frequency (Hz)
L = length (m)
g = acceleration of gravity (9.8 m/s²)
We have,
L = 1.10 m
So,
T = 2[tex]\pi[/tex][tex]\sqrt{\frac{L}{g} }[/tex]
= 2[tex]\pi[/tex][tex]\sqrt{\frac{1.10}{9.8} }[/tex]
= 2.09 s
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a person riding in the back of a pickup truck traveling at 70 km/h on a straight, level road throws a ball with a speed of 15 km/h relative to the truck in the direction opposite its motion. what is the velocity of the ball'
The velocity of ball with respect to ground is 55km/h whereas with respect to car is 35km/h travelling opposite to its motion.
speed of ball relative to the truck = 15km/h
speed of truck relative to ground = 70km/h
(a) velocity of the ball relative to ground = speed of ball + speed of truck
Vb = (-15 )+75 [here - indicates that speed of ball is relative to the truck in the direction opposite its motion]
Vbg = 55km/h
(b) speed of car = 90km/h
velocity of the ball relative to car = 55 + (-90) as car is travelling opposite to ball.
Vbc = 35km/h
A person riding in the back of a pickup truck traveling at 70 km/h on a straight, level road throws a ball with a speed of 15 km/h relative to the truck in the direction opposite to the truck's motion. What is the velocity of the ball (a) relative to a stationary observer by the side of the road, and (b) relative to the driver of a car moving in the same direction as the truck at a speed of 90 km/h?
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Answer: The ball travels at a velocity of 55 km/h relative to the ground and 35 km/h relative to the moving car.
Explanation: The ball travels at a speed of 55 km/h relative to the ground and 35 km/h relative to the moving car.
Truck speed in relation to ball speed is 15 km/h
truck's speed with relation to the ground is 70 km/h
(A) The ball's velocity in relation to the ground equals its combined ball and truck speeds
Vb = (-15)+75 [here - denotes that the ball's speed is related to the truck's velocity in the opposite direction]
55 km/h, Vbg
(b) automobile speed equals 90 km/h
Car is moving in the opposite direction as the ball, hence the ball's velocity in relation to it is 55 + (-90).
Vbc = 35 kph.
When a person riding in the back of a pickup truck traveling at 70 km/h on a straight, level road throws a ball with a speed of 15 km/h relative to the truck in the direction opposite its motion. The ball travels at a velocity of 55 km/h relative to the ground and 35 km/h relative to the moving car.
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a source emits monochromatic light of wavelength 495 nm in air. when the light passes through a liquid, its wavelength reduces to 434 nm. what is the liquid's index of refraction?
A source emits monochromatic light of wavelength 495 nm in air. when the light passes through a liquid, its wavelength reduces to 434 nm The liquid's index of refraction is 1.14
How to find liquid's index of refraction ?n=wave length of light in vaccum/wavelength of material
Monochromatic light of wavelength 495 nm in air
wavelength 434 nm.
n=495/434
Refractive index of liquid is 1.14
The refractive index is a typical occurrence that is seen practically every day.When a light ray passes through one medium and then into another, it shifts its direction. It occurs because the speed of light varies depending on the medium. Light travels at a speed of 2.98X 108 metres per second in air and 3X 108 metres per second in a vacuum.The ratio of the speed of light in a vacuum to the speed of light in the medium is known as the refractive index or index of refraction. From one media to another, the refractive index value changes. In other words, the refractive index measures how much a light beam bends when it passes through one medium and then into another.To learn more about liquid's index of refraction refer to:
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how does the rate of decay of a long-half-life material normally compare to the rate of decay of a short-half-life material?
For a material with a long half-life, the rate of decay is lower. The positively charged protons would typically reject one another due to electrostatic repulsions, but the strong nuclear force, an incredibly potent but extremely localized attractive force between nucleons, prevents this from happening and keeps the nucleus together.
What is beta decay ?
In an alpha decay, the atomic number is lowered by two. A beta decay results in a rise of one in the atomic number. Protons can stay together in a nucleus despite the fact that their charges repel one another because of this phenomenon, which is greater at very close ranges than electrostatic repulsion. The ratio of neutrons to protons is the main determinant of stability. Atoms with an imbalance of neutrons, either too many or too few, are unstable.
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what objects looked mostly like stars when first discovered, but turned out to be much farther away and trillions of times brighter than stars?
Quasars are objects that looked mostly like stars when first discovered but turned out to be much farther away and trillions of times brighter than stars.
A quasar is an astronomical object with a very high brightness that may be found in some galaxies' centers and is fueled by gas spiraling quickly into an enormous black hole.
Compact objects called quasars are found outside of our galaxy. They shine more brightly than 100 galaxies put together, but since they are so far away, it takes several billion years for their light to reach Earth.
This suggests that most galaxies, including the Milky Way, may have experienced an active phase during which they appeared as quasars or another type of active galaxy depending on the black-hole mass and accretion rate, and are now quiescent because they lack a supply of matter to feed into their central black-hole.
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if the pendulum is taken into the orbiting space station what will happen to the bob?
If the pendulum is taken into orbiting space it will continue to oscillate in a vertical plane with the same period.
Oscillation is the repetitive or periodic variation, normally in time, of some degree about a central price or among two or extra exclusive states. Acquainted examples of oscillation include a swinging pendulum and alternating present-day.
Oscillatory movement is defined because of the to and fro movement of the body about its constant function. An oscillatory movement is a form of periodic motion. Examples of oscillatory motion are vibrating strings, swinging of the swing, and so on.
As the pendulum acts closer to the other quit of its swing, all of the kinetic energy turns returned into potential power.
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an fm radio station has a frequency of 96.7 mhz. what is the corresponding wavelength to this radio station?
we can solve this by the formula of frequency,
f⋅λ=c
f = frequency
λ = wavelength
c = speed of Electromagnetic radiation in vacuum
(96.7×10⁶Hz) ⋅λ=3.00×10⁸m/s
λ= 3.1 m
the wavelength is 3.1m
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Consider the free-body diagram for an object accelerating across a surface. The object has a mass of 2.35-kg. There is a forward thrust force of 45.7 N. The coefficient of friction between the object and the surface is 0.570. Determine the...
Based on the free-body diagram, the mass, and the force acting on the object:
The normal force on the object is 23.05 NThe frictional force is 13.1 NThe net force on the object is 9.55 NThe acceleration of the object is 4.06 m/s²What is frictional force?Frictional force is the force that opposes the relative motion of an object over another.
Frictional force is a contact force that acts at the surface of contact between two objects.
Considering the given data about the object:
The normal force on the object is calculated below:
Normal force = mass * acceleration due to gravity, g
g = 9.81 m/s²
normal force = 2.35 * 9.81
normal force = 23.05 N
The frictional force = coefficient of friction * normal force
The frictional force = 23.05 * 0.57
The frictional force = 13.1 N
The net force on the object = 45.7 - (23.05 + 13.1)
The net force on the object = 9.55 N
The acceleration of the object = net force / mass
The acceleration of the object = 9.55 / 2.35
The acceleration of the object = 4.06 m/s²
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the temperature of a blackbody radiator is increased. what will happen to the most intense wavelength of light emitted as this increase occurs?
Answer:
As the temperature of a blackbody radiator is increased, the most intense wavelength of light emitted will shift to shorter wavelengths. This is because the emission spectrum of a blackbody radiator is a function of its temperature, and as the temperature increases, the peak of the emission spectrum will shift to shorter wavelengths.
This phenomenon is known as Wien's displacement law, which states that the most intense wavelength of light emitted by a blackbody radiator is inversely proportional to its temperature. In other words, as the temperature increases, the most intense wavelength of light will decrease. This shift can be observed in the emission spectra of different objects, such as the sun, which has a peak emission at shorter wavelengths (in the visible range) at higher temperatures.
Explanation:
If Emily throws the ball at an angle of 30˚ below the horizontal with a speed of 12m/s, how far from the base of the dorm should Allison stand to catch the ball?
Assume the vertical distance between where Emily releases the ball and Allison catches it is 4.0m
Answer:
5 m
Explanation:
Allison is 4 m LOWER than Emily
vertical component = 12 * sin(-30) = - 6 m/s
vertical distance equation
d = do + vot + 1/2 at^2
- 4 = 0 + -6 t + 1/2 (-9.81) t^2
- 4.905 t^2 - 6t + 4 = 0 Use Quadratic Formula to find t =.479 s
So the ball flies with its HORIZONTAL component for .479 s then Alli catches it
Horizontal component = 12 cos(- 30) = 10.4 m/s
10.4 m/s * .479 s = 4.977 =~ 5 m
Refer to the photo taken.
Answer: 4.98m
which electromagnetic radiation wavelength is efficiently observed using ground based telescopes?
Visible radiations are the electromagnetic radiation wavelength which is efficiently observed using ground based telescopes.
The electromagnetic waves we can for the most part see on the ground comprise of apparent light, which is challenging for the air to retain, close infrared beams, and a few electromagnetic waves. These frequency ranges are called air windows.
Noticeable light is a sort of electromagnetic radiation, which is sent in waves or particles at various frequencies and frequencies. This wide scope of frequencies is known as the electromagnetic range. That range is commonly separated into seven districts arranged by diminishing frequency and expanding energy and frequency.
A commonplace natural eye will answer frequencies from around 380 to around 750 nanometers. As far as recurrence, this compares to a band nearby 400-790 terahertz. These limits are not pointedly characterized and may differ per person. Under ideal circumstances these restrictions of human insight can stretch out to 310 nm (bright) and 1100 nm (close to infrared).
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Cherise sets identical magnetic carts on two tracks. at the end of each track is a blue magnet that cannot move. cherise can move the carts one space to the left or one space to the right. Which movement will result in the largest increase in potential energy?
The movement that will result in the largest increase in potential energy is for Cherise to move one of the carts to the left. This will decrease the distance between the two carts and the magnet, resulting in the highest increase in potential energy.
Potential energy is the stored energy of an object due to its position, configuration, or composition. In this scenario, the potential energy of the two magnetic carts is determined by their distance from the blue magnet at the end of the track.
If Cherise moves one of the carts to the left, the distance between the cart and the magnet will decrease, resulting in an increase in potential energy. The same would be true if the cart was moved to the right. However, if one of the carts is moved to the left, the distance between the two carts and the magnet is decreased, resulting in a larger increase in potential energy than if the cart was moved to the right.
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Consider the following circuit. after leaving the switch at the position a for a long time, move the switch from a to b. there will be current oscillations.
The maximum current will be given by
Imax = E/R √ L C
Imax = E √1/L C
Imax = E√LC
Imax = E√C/L
Imax = E/R√C/L
Imax = E/R√L/C
Imax = E√L/C
Imax = E/R
Imax is E. R. LC will result in the maximum current being delivered. Current obtained from a cell with external resistance R and internal resistance r has the formula I is E/(R+r).
How is the maximum current calculated?Current obtained from a cell with external resistance R and internal resistance r has the formula I=E/(R+r). The external resistance R should, of course, be zero for maximum current, meaning that the terminals of a cell must be shorted for maximum current.In the case of a mechanical system, F=ma=m(dtdv)=m will provide the maximum current (dt2d2x). When applied to an electrical system, =L(dtdi)=L (dt2d2q). We may see that L is comparable to mass m by comparing these two equations: L represents the resistance to a change in current. 0 equals LC1 in the case of an LC circuit and mk for a mass on a spring.To learn more about Current refer to:
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You are designing a new roller coaster at an amusement park and are currently working on the final section of the ride. The 200 kg cart will be going 11 m/s when it approaches the bottom of a 10 m tall hill. The engineers have installed speed boosters to make sure the cart can make it up the hill. You have been asked to check their work. How much work (if any) must the speed boosters do on the cart to make sure the cart can reach the top of the hill?.
The work that has been done by the speed is obtained as 19600 J.
What is the roller coaster?We know that the roller coaster is the device that can be use used to show the relationship between the kinetic and the potential energy. Recall that the potential energy is possessed by a body as a result of its position while the kinetic energy is possessed by a body that is seen to be in motion.
In this case, the work that is done is seen as the gravitational potential energy that is required to be able to move the roller coaster from one point to the other.
Now we know that;
W = mgh
m = mass of the object
g = acceleration due to gravity'
h height of the object
Thus the work done = 200 Kg * 9.8 m/s^2 * 10 m
= 19600 J
Thus the work done is 19600 J.
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From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates? (all that apply)A. Large surface areaB. Lots of tissues, like fat, with low thermal conductivityC. Lots of tissues, like muscle, with high thermal conductivityD. Thick skinE. Thin skinF. Small surface area
From the point of view of conductive heat loss, (B) Lots of tissues, like fat, with low thermal conductivity will be best.
Decrease of heat existing in space, resulting from heat transfer through roof, walls, windows and buildings surfaces or other factors is known as heat loss. Heat loss is determined by multiplying the values of the surface area, the difference in temperatures of indoors and outdoors and the value of heat loss of the material.The heat loss interests in the ventilation of hot processes which is known as convectional heat loss. The total heat loss of the object involves losses occurring by radiation, convection, and conduction. Heat loss is measured by the units called Watts.For best adaptation in extremely cold climates, low thermal conductivity will reduce conductive heat loss so that animals will be warm enough.To know more about heat visit:
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mechanical energy is select one because the roller coaster select one energy due to friction and air resistance as it travels down the track.
Mechanical energy is not conserved because the roller coaster loses energy due to friction and air resistance as it travels down the track.
Mechanical energy refers to the sum of kinetic energy and potential energy. It refers to the energy of an object in motion or the energy that is stored in objects by their position. In a system, mechanical energy is constant when there are only gravitational forces acting in it or it is in an otherwise idealized system – a system which is lacking or reasonably negligible dissipative forces, such as friction and air resistance. Hence, mechanical energy is conserved when there are no frictional forces acting on the system. As the roller coaster loses energy due to friction and air resistance as it travels back down the track, the mechanical energy is not conserved.
Note: The question is incomplete. The complete question probably is: Mechanical energy is (conserved, not conserved) because the roller coaster (loses, gains) energy due to friction and air resistance as it travels down the track.
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an object is 1.8 m to the left of a lens of focal length 0.98 m. a second lens of focal length -3.4 m is 0.78 m to the right of the first lens. find the distance between the object and the final image formed by the second lens.
the distance from the subject to the second lens final image is 4.8106 m
The solution to this kind of issue is that the item in the second (right) lens is the intermediate picture in the first (left) lens. Then, starting with the notation from reference 1, where (+uN is the object distance from the lens N and (+vN is the image distance from the lens N), we have:
u1 = 1.8 m; f1 = 0.98 m; sep = 0.78 m; f2 = -3.4 m; v2 = TBD
Solving,
v1 = 1/(1/f1-1/u1) = 2.127 m
u2 = sep-v1 = -1.347 m
v2 = 1/(1/f2-1/u2) = 2.23064 m
Final Image location relative to object = v2+sep+u1 = 4.8106 m Magnification = v1v2/(u1u2) = -1.9561
A lens is a transmissive optical device that, via the use of refraction, concentrates or disperses a light beam. A compound lens is made up of numerous simple lenses (elements), typically organized along a common axis, whereas a simple lens is made up of a single transparent piece of material. Lenses are created by grinding and polishing or molding materials like glass or plastic into the correct form. A prism only refracts light without concentrating, whereas a lens can concentrate light to create a picture. The term "lens" also refers to devices that focus or disperse waves and radiation other than visible light, such as explosive, microwave, and electron lenses.
Telescopes, binoculars, and cameras are just a few examples of image devices that use lenses.
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What is the wavelength of 500 nm?
The wavelength of wave is 0.6×10⁶m if 500Hz is the frequency of the light wave.
In physical science, the wavelength is defined as the spatial time of an occurring wave — the distance over which the wave's shape repeats. It is the defined as the distance between back to back relating points of similar stage on the wave, like the two nearby peaks, box, or zero intersections, and is a quality of the both voyaging waves and standing waves, as well as the spatial wave patterns. The reverse of the frequency is called as the spatial frequency. Frequency is represented by the Greek letter lambda (λ).
For electromagnetic wave ,we have an expression
c=ν × λ
where c is the defined as the speed of wave in any medium,
ν is defined as the frequency of the wave and
λ is defined as the wavelength of the wave.
Since wave is light wave so speed(c) of light =3×10⁸m/sec,
frequency=500Hz and wavelength=?
Therefore,3×10⁸m/sec=500×λ
=>λ=(3×10⁸)/500
=>λ=0.6×10⁶m
Hence, wavelength of light wave is 0.6×10⁶m.
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(Complete question) is:
What is the wavelength of wave having frequency 500Hz.Assume wave is a light wave?
What is the wavelength of light that has a frequency of 6 x 10 14 Hz?
The wavelength of light is 0.5μm.
A packet of electromagnetic energy, or photon, is typically produced when an electron in an atom makes a transition from high energy to low energy. It is also absorbed during the transition from low energy to high energy. Visible light consists of photons that can be seen by the human eye. All electromagnetic energy sent or received consists of photons of varying amounts of energy given by the equation E=hf. The equation E=hf is called the Planck-Einstein relation.
This equation only applies to energies at the quantum level. It is generally stated that the energy of a photon is proportional to its frequency, with the proportionality factor being 'h' or Planck's constant, approximately 6.62607004 × 10⁻³⁴ m² kg/s.
y=c/v
y=3 x10⁸/6 x 10¹⁴
=0.5 x 10⁻⁶m
=0.5μm
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a pendulum is swinging in a stationary elevator with period t. when the elevator accelerates upwards, what happens to the period of oscillation?
When acceleration increases, then the period of motion decreases. As, the relation between acceleration and period of motion (oscillation) is inversely proportional
T=1/2π × √1L/g+a
How to know the oscillation of an elevator?Inside the moving lift
T=1/2π × √L/g+a
T= period pf motion (oscillation)
L= is the length of the pendulum
a= acceleration of the elevator
When the elevator accelerates in the upward direction, then the effective acceleration of the pendulum is equal to the sum of acceleration due to gravity and the acceleration of the elevator, therefore,
T=2π√L/g
So, if acceleration increases, then
T=2π√L/g+a
Therefore, effective acceleration increases and this results in a decrease in the period of motion.
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approximately how long after the big bang did the era of nucleosynthesis end, marking the time when the basic chemical composition of the universe was determined?
The era of nucleosynthesis came to an end about 5 minutes after the big bang, which is when it was discovered what the universe's fundamental chemical make-up was.
Why did the era of nucleosynthesis, which lasted for around 5 minutes after the Big Bang, see the end of fusion?A few minutes later, the cosmos got too cold, and nucleosynthesis ceased. Since nucleosynthesis was no longer possible, the deuterium that was still there at that time just remained deuterium. It had not yet fused into any heavier nuclei.
Why did the age of the nuclei, which lasted for around 380,000 years, come to an end?In order for stable, neutral atoms to form, the cosmos had expanded and cooled to a temperature of roughly 3,000 K.
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given the mass of the rubber in the balloon is 1.80 grams, what is the net vertical force on the balloon if it is let go? consider the buoyant force on the balloon, and the weight of the rubber and the helium inside the balloon. the volume of the rubber itself is negligible.
The buoyant force on a a 2.00-L helium balloon is 0.024 N.
And the vertical force on the balloon 0.0176 N.
The buoyant forceThe buoyant force is the upward force exerted against the weight of the immersed object.
The buoyancy equation is:
Fb = ρgV
(ρ) = Density
g = acceleration due to gravity (9.8 m/s²),
V = volume of object immersed in water (m₃)
This question is incomplete, it should be:
a. Calculate the buoyant force on a 2.00-L helium balloon.
b. Given the mass of the rubber in the balloon is 1.80 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.
We have,
Volume of the balloon = 2.0 L = 0.002 m³ ⇒ V
Mass of the balloon = 1.80 g ⇒ 0.0018 kg
And, density of air = 1.225 kg/m³ ⇒ ρ
So, the buoyant force on the helium balloon is:
Fb = (1.225) (9.8) (0.002)
= 0.024 N
And, the vertical force on the balloon is:
Fv = mg
= (0.0018) (9.8)
= 0.0176 N
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How much energy is needed to change the speed of a 1600 kg sport utility vehicle from to?
The energy needed to change the speed of a 1600 kg sport utility vehicle from 15 m/s to 40 m/s is 1100 kJ.
Given that,
Initial velocity = 15 m/s
Final velocity = 40 m/s
Mass = 1600 kg
The energy needed is nothing but the change in kinetic energy.
Calculating initial kinetic energy:
Initial kinetic energy = 1/2 * 1600 * 15 = 1,80,000 J
Calculating final kinetic energy:
Final kinetic energy = 1/2 * 1600 * 40 = 12,80,000 J
As the energy needed is nothing but the change in kinetic energy,
Energy needed = 12,80,000 J - 1,80,000 J = 11,00,000 J = 1100 kJ
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a 59 kgkg person is in a head-on collision. the car's speed at impact is 14 m/sm/s . estimate the net force on the person if he or she is wearing a seat belt and if the air bag deploys.
The net force on the person before the air bag deploys is 5782 N Backwards.
Given :
Mass of the passenger, m = 59 kg
Velocity of the car at impact, u = 14 m/s
Final velocity of the car after impact, v = 0
Distance moved as the front of the car crumples, s = 1 m
First, calculate the acceleration of the car at impact :
v² = u² + 2as
0² = 14² + (2 x 1)a
0 = 196 + 2a
2a = -196
a = -196 / 2
a = -98 m/s²
The net force on the person :
F = ma
F = 59(-98)
F = -5782 N backwards
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From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates? A. Large surface area
B. Lots of tissues, like fat, with low thermal conductivity
C. Lots of tissues, like muscle, with high thermal conductivity
D. Thick skin
E. Thin skin
F. Small surface area
The Correct answer is B, D, F. From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates
rate of heat loss = K*A*delta T / L
where A: surface area
L: the thickness of the tissue
K: thermal conductivity
High K, A value increases the rate
High L will decrease the rate
the rate should be low.
In thermodynamics, heat is defined as the shape of power crossing the boundary of a thermodynamic gadget through the distinctive features of a temperature difference across the boundary. A thermodynamic device does not contain warmness. nonetheless, the time period is also regularly used to consult the thermal electricity contained in a system as an element of its internal electricity and that is contemplated inside the temperature of the device. For each makes use of the time period, heat is a shape of strength.
Warmth is power in the switch to or from a thermodynamic gadget, by a mechanism that includes the microscopic atomic modes of movement or the corresponding macroscopic properties.
The measurement of strength transferred as heat is referred to as calorimetry, done via measuring its impact on the states of interacting bodies. for example, warmness may be measured by means of the quantity of ice melted, or through trade in the temperature of a frame inside the environment of the machine.
inside the international gadget of units (SI) the unit of dimension for heat, as a shape of electricity, is the joule (J).
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