This problem indicates that the speed of light in a material medium is 0.5 10⁸ m / s, they ask to find the critical angle between the material and the vacuum.
Let's find the refractive index of the material
n = c / v
n = 3 10⁸ / 0.5 10⁸
n = 6
When the material passes from one medium to another, it must comply with the law of refraction.
n₁ sin θ = n₂ sin θ₂
for the angle criticize the angles tea2 = 90
t = sin⁻¹n₂/ n₁
The vacuum replacement index is n₂ = 1
t = sin⁻¹ (1/6)
t = 9.59º
Therefore, the angle of refractive index will be 9.59°.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: The speed of light in a material is 0.50 c. what is the critical angle of a light ray at the interface between the material and a vacuum?]
Given a material of specific heat c in Cal/gramC^o and mass 5 grams. If the material is heated from a temperature of 10 C^o to a temperature of 37 C^o then which of these expressions yields the amount of heat added to the material in calories? A)5 times c times (37 - 10) B)5 divided by c times (37 - 10) C)5 times c divided by (37 times 10)
Given:
The specific heat of the material is c Cal/(gram°C)
The mass of the material, m=5 g
The initial temperature of the material, T₁=10 °C
The final temperature of the material, T₂=37 °C
To find:
The expression for the amount of heat added to the material.
Explanation:
The specific heat of a material is the heat required to raise the temperature of the unit mass of the material by one degree celcius.
From the equation of specific heat, the amount of the heat added to a material is given by,
[tex]\begin{gathered} Q=mc\Delta T \\ =mc(T_2-T_1) \end{gathered}[/tex]On substituting the known values,
[tex]Q=5\times c\times(37-10)\text{ calories}[/tex]Final answer:
Thus the correct answer is option A.
During a game of handball, you strike the ball with a mass of .06 kg, and it accelerates to the left at a rate of 13.7 m/s2. What force did your hand exert on the ball?(1 point)
A.) 0.82 N
B.) 13.64 N
C.)228 N
D.) 13.76 N
The force exerted on the ball of mass 0.0 6 kg and acceleration of 13.7 m/s² is 0.82 N. The correct option is A.) 0.82 N
What is force?Force can be deifned as the product of mass and acceleration.
To calculate the force exerted on the ball by my hand, we use the formula below.
Formula:
F = ma........... Equation 1Where:
F = Force exerted on the ballm = Mass of the balla = Acceleration of the ballFrom the question,
Given:
m = 0.06 kga = 13.7 m/s²Substitute these values into equation 1
F = (0.06×13.7)F = 0.822 NF ≈ 0.82 NHence, the force exerted on the ball by my hand is 0.82 N. The right option is A.) 0.82 N
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The speed of light in a vacuum is 299,792,458 meters per second (m/s). Which number, written in scientific notation, is the best approximation of the speed of light?.
The speed of the vacuum will be 2.99792458, which is equivalent to 3.0
A greater numerical value can be expressed in a very tiny number using scientific notation. This is accomplished by taking the number's single decimal form and raising the other numbers to the power of 10.
The number suiting the best approximation for the speed of light is:3×10⁸
The determination of the base and power are as follows:
The speed of light in a vacuum is 299,792,458 meters per second.
The total number of digits is 9
As per the rules, the power to 10 is always a total number of digits less than 1.
So the power to 10 will be:
Power to 10, so the Total digit is 1
9-1= 8
The speed of the vacuum will be 2.99792458, which is equivalent to 3.0
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15. Calculate Solar Radiation Averaged over a year in the central United States,
radiation from the Sun transfers about 200 W to each square meter of Earth's
surface. If a house is 10 m long by 10 m wide, how much solar energy falls on the
house each second?
Radiation from the Sun transfers about 200 W to each square meter of Earth's surface. If a house is 10 m long by 10 m wide , 20000 Joules of solar energy falls on the house each second .
Solar energy is defined as the transformation of energy that is present in the sun and is one of the renewable energies.
dimensions of the house are
length = 10 m
width = 10 m
area = [tex]side^{2}[/tex] = 10 * 10 = 100 [tex]m^{2}[/tex]
It is given that the Sun transfers about 200 W to each square meter of Earth's surface .
hence , energy transfer to the whole roof will be = 200 * 100 = 20000 Joules
20000 Joules of solar energy falls on the house each second
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In 45 seconds a car accelerates 10 m/sec? to 110 m/sec. How fast was the car going before it accelerated?
The acceleration of the car is 2.22m/s²
Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations.
We are given that,
The average speed of the car = V = Vf -Vi = 110m/s - 10m/s = 100m/s
The rate of car to accelerate = t = 45sec
Therefore, the acceleration of the car can be calculated as,
a = (Vf -Vi)/t
a = (100m/s)/45sec
a = 2.22m/s²
Thus ,the acceleration of the car would be 2.22m/s².
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how much power does it take to lift 250 N 40 m high in 2 sec
The amount of power required to lift 250 N over 4 m high in 2 seconds is 5000 W.
What is power?Power can be defined as the ratio of the work done by a body to the time taken to do the work.
To calculate the power, we use the formula below.
Formula:
P = Fd/t................. Equation 1Where:
P represent PowerF represent Forced represent Distancet represent TimeFrom the question,
Given:
F = 250 Nd = 40 mt = 2 secondsSubstitute these values into equation 1
P = (250×40)/2P = 5000 WHence, the amount of power required is 5000 W.
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when a compact disk with a 12.0 in diameter is rotating at 34.6 rad/s, what are (a) the linear speed, and (b) the centripetal acceleration of a point on its outer rim?
the linear speed at 12.0 diameter and angular velocity 34.6rad/s is 2.076m/s and centripetal acceleration is 0.718296m/s².
What is linear speed and centripetal force?The term "linear speed" describes the change in distance as a function of time. This shift could happen overnight or gradually. In contrast to average linear speed, which is defined as linear speed seen over a longer time period, instantaneous linear speed is defined as linear speed recorded over a relatively brief period of time. However, it is more accurate to measure the linear speed over a brief period of time.
A net force that keeps an object moving in a circular motion is known as a centripetal force.
Centripetal acceleration, any item moving along a circular path with a radius of rrr and a velocity of vvv experiences an acceleration that is directed toward the path's centre, with the formula a = frac v2 r a= r v 2.
A equals v squared divided by r, where r is the end fraction.
We need talk about how the object started out travelling in a circular motion, though. According to Newton's first law, unless acted upon by an outside force, an object will continue to move in a straight path. The centripetal force is the outside force in this situation.
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let you are running at 15 meter/sec and declerates at 4 meter/sec square
a. how long will you have take to stop
b. how far will you go while declerating
Answer:
a. 3.75 s b. 28.125 m
Explanation:
DataVi = 15 m/s
Vf = 0 m/s
a = -4 m/s²
i) t = ?
ii) S = ?
Solutioni) Using Newton's 1st Eq of Motion
Vf = Vi + at
t = (Vf - Vi) / a
t = (0 - 15) / -4
t = 3.75 s
ii) Using Newton's 3rd Eq of Motion
2aS = Vf² - Vi²
S = (Vf² - Vi²) / 2a
S = (0² - 15²) / 2 x -4
S = 28.125 m
You are lying in bedA)List the internal forces that are acting on the mattressB)What is the external force acting on the mattress
Given:
Someone is lying on the bed.
To find:
A) the internal forces on the mattress
B) The external forces on the mattress
Explanation:
A) The internal forces acting on the mattress are:
1. When someone lies on the mattress, there is tension inside the mattress.
2. There is compression on the mattress.
3. Also there are torsion and shear
B) The external force:
The external forces are the
1. The force of gravity or the weight of the person on the mattress
2. The normal reaction on the mattress
3. The friction between the mattress and the person
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
A sprinter had the following speeds at different times during a race: 0 m/s at 0 s, 4 m/s at 2 s, 7 m/s at 4 s, 10 m/s at 6 s, 12 m/s at 8 s, and 10 m/s at 10 s. Plot these data on a speed-time graph. During what time intervals is the acceleration positive? Negative? Is the acceleration ever zero?
Answer:
Explanation:
We build graphs of speed and acceleration.
Acceleration is positive in the interval (0 - 8) s.
Acceleration is negative in the interval (8-10) s.
Radio waves travel at the speed of light, 300,000 km/s (3x10^8 m/s). Determine the wavelength of a radio wave that is received at 200 megahertz.
A wave's frequency and wavelength are connected to the wave's speed by the... The following formula can be used to determine the radio wave's wavelength.
How do you determine a radio wave's speed?Wavelength x Wave Frequency equals speed. In this equation, the units of wavelength and frequency are meters for wavelength and hertz (Hz), or the number of waves per second, for frequency.
How is the wave equation applied?Write out the wave function in the form to determine a sinusoidal wave's amplitude, wavelength, period, and frequency.
How is the energy of sound determined?Your sound will be more strong the more your sound wave oscillates.
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abunai hana has heard that she can obtain the most distance by shooting a crossbow bolt at a 45 degree angle above the positive x axis. her crossbow can shoot bolts at 30m/s. draw the vector triangle and decompose the vector into its x and y components.
vcos45 and vsin45 are the vector into its x and y components.
Vx=vcos45=15.75 m/s
Vy=vsin45=25.5 m/s
A vector is a quantity in physics that has both magnitude and direction. It is frequently depicted as an arrow with a length proportionate to the magnitude and a direction matching the magnitude of the quantity. While a vector has magnitude and direction, it lacks position. In other words, a vector's length won't change if it is shifted parallel to itself.
Even though a quantity has magnitude and direction, it must meet certain requirements in order to be classified as a vector. One of them is the vector addition formula, represented by the symbols A + B = C.
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A Six Flags students notice that all of the roller coasters use motors to pull the cars to their highest point at the first hill, and then release the cars down the hill and for the rest of the trip. Why must the first hill of a rollercoaster ride be the highest? Answer with a claim, evidence and reasoning.
According to the conservation of energy
[tex]Total\text{ energy = Potential energy +Kinetic energy}[/tex]At the top of the hill, only the potential energy will work as it is at rest.
Also, potential energy increases with height, so if the height of the first hill is the highest, the total energy will be more.
What is the ME if the m = 25 kg, h = 250 m, and the v= 50 m/s?
The mechanical energy of the given mass is equal to 92500 J.
What is mechanical energy?Mechanical energy can be demonstrated as the sum of kinetic energy and potential energy that is utilized to do work. Mechanical energy is energy because of the motion or position of an object.
The total mechanical energy is conserved because the energy can neither be created nor destroyed. Mechanical energy can be transformed from one form to another form.
The mechanical energy = Kinetic energy + potential energy
Mechanical energy = (1/2)mv² + mgh
Given the mass of the object, m = 25 Kg
The height of the object, h = 250 m
The velocity of the object, v = 50 m/s
Therefore, Mechanical energy = (0.5)× 25 ×(50)² + 25 × 9.8 × 250
M.E. = 31250 + 61250
M.E. = 92500 J
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Grandma lives 120 miles away. Dinner is at 5 p.m. The speed limit is 60 mph. What time do you need to leave to be on time?
Given data:
* The distance to the Grandma house is d = 120 miles.
* The value of the speed limit is v = 60 mph.
* The time for the dinner is t = 5 p.m.
Solution:
The time taken to reach the Grandma house while moving in the speed limit is,
[tex]\begin{gathered} v=\frac{d}{T} \\ T=\frac{d}{v} \end{gathered}[/tex]Substituting the known values,
[tex]\begin{gathered} T=\frac{120}{60} \\ T=2\text{ hours} \end{gathered}[/tex]The time of leaving is,
[tex]\begin{gathered} t_1=t-T \\ t_1=5-2 \\ t_1=3\text{ p.m.} \end{gathered}[/tex]Thus, the time at which the person should leave for grandma's house is 3 p.m.
Car AMass: 1,500 kgVelocity: 10 m/sCar BMass: 1,500 kgVelocity: 25 m/sCar CMass: 1,000 kgVelocity: 10 m/sWhich order shows decreasing momentum?A, B, CB, A, CC, B, A
Answer:
B, A, C
Explanation:
The momentum is equal to the mass times the velocity, so for each car the momentum is equal to
Car A
Momentum = Mass x Velocity
Momentum = 1,500 kg x 10 m/s
Momentum = 15,000 kg m/s
Car B
Momentum = Mass x Velocity
Momentum = 1,500 kg x 25 m/s
Momentum = 37,500 kg m/s
Car C
Momentum = Mass x Velocity
Momentum = 1,000 kg x 10 m/s
Momentum = 10,000 kg m/s
Then, the decreasing momentum is B, A, C because
37,500 is greater than 15,000 and 15,000 is greater than 10,000
So, the answer:
B, A, C
A 2 kg object is moving to the right with a speed of 1 m/s when it experiences an impulse of 4 ns.
The object's velocity after the force ends equals 3.0 m/s, moving to the right.
Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.
The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.
The SI unit of velocity is metre per/sec (m/s). as an alternative, the speed magnitude can also be expressed in centimetres per 2nd (cm/s).
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help would be nice
A
B
C
D
As the projectile moves from Q to R, the magnitude of the vertical velocity increases.
option A is the correct answer.
What is vertical velocity?
The vertical velocity of a projectile is the upward velocity of the projectile.
During the upward motion of a projectile, its vertical velocity decreases as the projectile moves upwards and eventually becomes zero as the projectile reaches the maximum height.
As the projectile begins to move downwards, the vertical velocity begins to increase and eventually becomes maximum before the projectile hits the ground.
Thus, vertical velocity of a projectile increases as the projectile moves downwards.
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An object with a mass of 188 kg accelerates 6.09 m/s² when an unknown force is applied to it. What is the magnitude
of the force?
The magnitude of the force is 1144.92 N.
How do you define force?
Physicists define force as:
Push or pull which when applied to an object having mass causes it to change its velocity in response to the push or pull.
It has a magnitude and a direction. The direction of the force is referred to as the force's direction, and the application of force is the place at which the force is applied.Using a spring balance, the Force can be quantified. Newton is the SI-defined unit of force (N).The vector product of mass (m) and acceleration represents the amount of force (a).
Mathematically speaking, the force equation or formula can be written as follows:
F = ma
where m equals mass
a represents acceleration.
It is articulated either in Newton (N) or Kgm/s2.
As per Newtons second law of motion,
F=m×a
Given in the question,
Mass, m=188 kg
Acceleration, a=6.09 m/s2
Therefore,
F=188 x 6.09
F=1144.92 N
Hence, the magnitude of the force is 1144.92 N
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Objects with smaller masses have more gravitational energy than objects with larger masses. True or false?
Objects with smaller masses have more gravitational energy than objects with larger masses is false .
Gravitational energy is potential energy stored in an object according its distance from the Earth.
The greater the size of the masses, the greater is the gravitational force
U=m g h
since , gravitational potential energy is directly proportional to the mass
hence , bigger the mass bigger will be the gravitational potential energy and vice versa .
hence , Objects with smaller masses have more gravitational energy than objects with larger masses is false .
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What substance is the usable source of the energy that a cell uses for the synthesis of materials?.
The usable source of the energy that a cell uses for the synthesis of materials is ATP.
ATP stands for adenosine triphosphate.
The cellular energy standard is ATP.They are energy-carrying molecules that are by-products of photophosphorylation reactions.The primary energy sources for ATP include minerals, carbohydrates, lipids, proteins, etc.When the cell needs energy, ATP can be taken out and used to fuel reactions or stored for use in later ones.
Animals use ATP to store the energy released during food digestion. Similar to this, plants use ATP molecules to store the energy they obtain from light during photosynthesis.
The usable source of the energy that a cell uses for the synthesis of materials is ATP.
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A cloud drifted 2,520 meters to the east at a constant velocity. It took the cloud 18 minutes
to drift that far. What was the cloud's velocity?
Answer:
Explanation:
Given:
D = 2 520 m
t = 18 min = 18·60 = 1080 s
____________
V - ?
V = D / t = 2 520 / 1 080 ≈ 2.33 m/s or V = 8.4 km/h
Forces are applied along various points on a lever arm as shown below.Calculate the net torqu and describe the direction of rotation from the axis of rotation that would result in a net moment(torque) of zero
The net torque applied on the lever be 180 N-m.
The direction of torque is perpendicular to both force and axis of lever and it acts outwards.
So any force at any point on axis of rotation for which torque is 180 N-m and directed in opposite direction would result in a net moment(torque) of zero.
What is torque?The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction.
A vector quantity is a torque. The force acting on the axis determines the direction of the torque vector.
Mathematically, torque = force × perpendicular distance.
So, net torque applied on the lever :
= + (15N)×(20m) + (5N)×(15m) - (5N)×(5m) -(10N)×(17m)
= 180 N-m.
And the direction of torque is perpendicular to both force and axis and it acts outwards.
So any force at any point on axis of rotation for which torque is 180 N-m and directed in opposite direction would result in a net moment(torque) of zero.
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the transfer of energy from one object to another is called
Answer:Conduction
Explanation:the transfer of heat energy occurs between two objects that are touching.
Suppose an experimental arrangement has mass m1= 0.200 kg at the 0.100-m mark and a mass m2= 0.100 kg at the 0.750-m mark. Can the system be put in equilibrium by a 0.050-kg mass? If it can be done, state where it would be placed. If it cannot be done, state why not.
It is to be noted that the system cannot be put in equilibrium by a 0.050kg mass. This is because the point on the stick where it ought to be placed is longer than the actual length of the stick.
What is Equilibrium?In physics, equilibrium is the state of a system where neither its state of momentum nor its internal energy state changes over time. In a meter-stick experiment, the net torque applied to the system must be zero for the system to be in equilibrium.
Assume the center of gravity is at 0.500 m.
Recall that m1 = 0.200kg at 0.100m mark
m2 = 0.100kg at the 0.750m mark
m1(0.500 - 0.100) = m2(0.750 - 0.500) + m3(d-0.500)
0.2(0.4) = 0.1(0.25) + 0.05(d-0.5)
0.055 = 0.05d -0.025
d = 1.6 m
This indicates that the 0.050 kg weight must be placed on the right side, 1.6 m from the center of the scale; however, because the scale is only 0.5 meters long on each side of the center, adding 0.050 to the meterstick is impossible. If we add it anywhere along the 0.5 m length of the stick, the system will not be in equilibrium.
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An electric current can be generated in a wire in a circuit when at least part of the wire ____________.is coated in plastic.is made of aluminum.moves through and cuts magnetic field lines.is not moving.
Answer:
Explanation:
When a coil of wire is moved around a magnet, it induces electrons into the wire and creates electric current. Thus, the correct option is
moves through and cuts magnetic field lines
Use the symbols to fill in the data table.
The symbol for kinetic, potential, and total energy for going up is ↑, ↓, S and for going down ↓, ↑, S respectively.
P.E = Potential energy
The stored energy in an object by virtue of its position is known as potential energy.
K.E = Kinetic energy
The energy due to moving of an object.
T.E = Total energy
Sum of kinetic and potential energy.
Symbols used are:
↑ increases, ↓ decreases, S stay the same
skater's movement P.E K.E T.E
Down the hill ↑ ↓ S
Up the hill ↓ ↑ S
The symbol for kinetic, potential, and total energy for going up is ↑, ↓, S and for going down ↓, ↑, S respectively.
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what helps create metamorphic and sedimentary rock
Answer:
!
Explanation:
Sedimentary rocks originate when particles settle out of water/air, or by precipitation of minerals from water. They accumulate in layers. The most important processes that lead to the creation of sedimentary rocks are erosion, weathering, dissolution, precipitation, and lithification.
Metamorphic rocks result when other rocks are changed by heat, pressure, or reactive fluids, such as hot, mineral-laden water, and sometimes a combination of all these factors. These conditions are found deep within the Earth or where tectonic plates meet.
A sedimentary rock is a rock formed through weathered and compacted sediments. These kinds of rocks undergo five major stages: erosion, deposition, weathering, compaction, and cementation. Through the breaking down and combining of scattered sediments, sedimentary rocks are formed.
What is a metamorphic rock?A metamorphic rock is typically thought of as a rock that undergoes intense heat and pressure in the mantle of Earth. This kind of rock can be formed from any kind of process, as long as it goes through a phase of extreme exposures to heat. Metamorphic rocks are common underground. These rocks eventually rise to Earth's surface, and they cool and crystallize to become igneous rocks.
compare the optical density air and glass
Answer:
Glass is an optically denser medium than air and water.
Explanation:
hope it helps have a nice night!
Answer:
The speed of light depends on the optical density of the medium. Therefore, light travels with different speeds in different media having different optical densities. For example, the speed of light in air is 3 × 108 m/s, whereas that in glass is 2 × 108 m/s and in water, it is 2.25 × 108 m/s