A 925 kg car rounds an unbanked curve at a speed of 25 m/s. If the radius of the curve is 72 m, what is the minimum coefficient of friction between the car and the road required so that the car does not skid?.
The minimum coefficient of friction required is 0.885 for a 925kg car rounds an unbanked curve at a speed of 25m/sec.
We know that if a body wants to travel from one place to another place, we need friction to move along the surface.
Now,we know that centripetal force is required to move along a curve.Also,due to friction same amount of force acts on the car to move along the surface.
It means centripetal force=mv²/r where v is the velocity of the body and r is the radius of the body is equal to force applied by the friction which is equal to =μmg
So,mv²/r=μmg
=>v²/r =μg
=>μ= v²/rg
On putting the values of speed, radius and acceleration due to gravity
=>μ=(25)²/(72×9.8)
=>μ=625/705.6
=>μ=0.885
Hence, required value of coefficient of friction is 0.885.
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Gravitational force between objects ____________ as objects move farther apart, and it is ___________ between objects that are closer together.
Gravitational force between objects gets weaker as objects move farther apart, and it is stronger between objects that are closer together.
The gravitational force between two objects is given by:
F = G x M x m / r²
Where:
G = constant of gravity
M = mass of object 1
m = mass of object 2
r = distance between two objects
If the masses are constant, then the gravitational force is inversely proportional to the square of distance between those objects, or mathematically:
F ∝ 1/r²
By inversely proportional means if the distance between two objects decreases, the gravitational force increases or gets stronger; and if the distance between two objects increases, the gravitational force decreases or gets weaker.
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The satellite space explorer flies 180600 miles in 21 hours. Find the rate of change.
The rate of change, or speed, of the satellite space explorer, is approximately 8600 miles per hour.
Given:
Distance = 180600 miles
Time = 21 hours
The rate of change represents the speed or velocity at which the satellite is traveling.
Rate of change (Speed) = Distance ÷ Time
Rate of change (Speed) = 180600 ÷ 21
Rate of change (Speed) = 8600 miles /hour
So, the rate of change, or speed, of the satellite space explorer is approximately 8600 miles per hour.
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A Ferris wheel with a diameter
of 40 m makes one revolution
every 20 minutes. What is its
average speed in meter/min?
Answer:
6.3 m/min
Explanation:
Circumference of a circle = 2πr
r = D/2 = 40m/2 = 20m
C = 2π(20m) = 125.7 m
speed = distance/time = (125.7 m) / (20 min) = 6.3 m/min
a 5 m chain with density 2 kg/m hangs off the roof of a building. how much work is required to pull the chain to the roof?
A 5 m chain with a density of 2 kg/m hangs off the roof of a building, then work done to pull the chain to the roof is 98 N m
The amount of force required to move an item a certain distance is referred to as the work done. Essentially, it is a measurement of the amount of energy that is transmitted to or from an item so that it may be moved.
W = force * distance
The force is the weight times gravity since it is hanging down
W = 2 kg* 9.8 m/s^2 * 5m
98 kg m^2/s^2
A newton is kg m/ s^2
W = 98 N m
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If you pull a 8 kg box across the floor with a net force of
50 N, how fast will it accelerate?
A. 5.5 m/s²
B. 9.8 m/s²
C. 3.2 m/s²
D. 6.25 m/s²
The acceleration of an 8kg box at net force of 50N would be d.) 6.25m/s²
What is the gravity-induced acceleration?The acceleration due to gravity value of 9.8 m/s2 means that the velocity of a body falling freely changes by 9.8 m/s per second.
What does Newton's law define as acceleration?The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.
What qualifies as acceleration?Throughout time, the velocity is shifting. In actuality, the velocity is changing by a fixed rate of 10 m/s every second.
Let the direction of the 50 N be positive.
Fnet = (50 -10) N = +40 N
Fnet = m•a
a = Fnet/m = 40/75 m/s²
a = +0.53333 m/s² but round to 1 or 2 sig figs: +0.53 m/s² in the direction of the 50 N.
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A 1,000 kg car experiences a net force of 3,500N from its engine.
Answer:Magnitude of the car's acceleration is 3.5 m/s²
Given:
Mass of car = 1,000 kg
Net force applied by car = 3,500 N
Find:
Magnitude of the car's acceleration
Computation:
Net force = Mass × Acceleration
So,
3,500 = 1,000 × Acceleration
Acceleration = 3,500 / 1,000
Acceleration = 3.5 m/s²
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What is the image of a dilation?
Image of dilation is a type of transformation that changes the size of a shape or geometric figure, but keeps the relative proportions and shape the same.
Morphology is known as a broad range of image processing operations that process images based on their shape. It is also known as a tool used to extract image components that help represent and explain the shape of a region.The basic morphological operations are: H. Used to extend element A with structuring element B.Dilation adds pixels to the bounds of the object.Output pixel value is the maximum value of all pixels in the neighborhood. A pixel is set to 1 if any adjacent pixel has a value of 1. The grayscale structuring elements are also functions of the same form, so-called structure functions.To learn about Morphology -
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The velocity of a vehicle is typically expressed relative to which of the following?
A
other vehicles on the road
B
the surface of the road
C
the speed of Earth rotating
D
the speed of the tires rotating
The velocity of a vehicle is typically expressed relative to ground.
What is velocity?Velocity is the speed of something that is given direction.
velocity is the measurement to a body's "pace of change of the displacement in relation to time" whenever the main body is traveling through along a straight route.
It is common knowledge of that the word "linear" refers to be something that is totally straight; therefore, when the body moves in a straight path, it is said to be linear velocity .
Alternatively, velocity is the distance traveled by a body traveling in a specified to the direction during of a predetermined period of time. Thus, the fundamental idea of linear velocity is the provided by the union of these two quantities.
Because it always has the direction of velocity is a vector.
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(a) calculate the range of wavelengths (in m) for fm given its frequency range is 88.0 to 108 mhz. smaller value m larger value m
The wavelengths fall around 2.78 meters and 3.41 meters.
By dividing the light speed by the FM lowest frequency, that would be 88 megahertz, we can calculate the maximum length, and comes to 3.41 meters. Additionally, the minimal wavelength would be 3 times 10 to 8 meters divide by 108 megahertz. In light of this, the wavelength for FM will fall between 2.78 meters and 3.41 meters.
The operating frequency of the Amplitude Modulated (AM radio) carrier frequencies is 535-1605 kHz. 10 kHz increments are used to assign frequency band, which range from 540 to 1600 kHz.
The VHF portion of something like the radio spectrum encompasses the FM broadcast frequency, which is used globally. To only a few instances, 87.5 to 108.0 MHz, or perhaps some component thereabouts, is typically utilised: The earlier 65.8-74 MHz range is still being used in many former Eastern Bloc nations as well as in the former Soviet states.
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the wheels on a bicycle have a 10 inch radius. if the bike must travel exactly 2000 inches , how many revolutions are required? assume that no sliding or slipping occurs between the wheel and the road.
The wheels on a bicycle have a 10 inch radius. If the bike must travel exactly 2000 inches, the number of revolutions the wheel would make will be 31.85 revolutions.
The perimeter of the circle is called the circumference of circle.
Given, radius of the wheel = 10 inches
Diameter of the wheel = 20 inches
Length required to cover = 2000 inches
For one revolution, distance equal to the circumference moved.
1 rev = π D
1 rev = π * 20
1 rev = 62.8 inches
Number of revolutions to travel 2000 inches is 2000/62.8 = 31.85 rev
Thus, the number of revolutions required are 31.85 rev.
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how many turns of wire would be required to make a 200 mh inductance out of a 40.0 cm -long air-filled coil with a diameter of 4.2 cm ?
15937.5 turns of wire would be required to make a 200 mh inductance out of a 40.0 cm-long air-filled coil with a diameter of 4.2 cm.
The number of turns of wire required to make a 200 mH inductance out of a 40.0 cm-long air-filled coil with a diameter of 4.2 cm can be calculated using the formula:
N = (L x 10^6) / (2π x (d/2)^2)
where N is the number of turns of wire, L is the desired inductance in microhenries (μH), d is the diameter of the coil in centimeters (cm), and π is the mathematical constant (3.14).
Plugging in the given values, we get:
N = (200 x 10^6) / (2 x 3.14 x (4.2/2)^2)
N = (200 x 10^6) / (2 x 3.14 x (2.1)^2)
N = (200 x 10^6) / (12.56)
N = 15937.5 turns of wire
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the masses of the two moons are determined to be 2m for moon a and m for moon b. it is observed that the distance between moon b and the planet is two times that of the distance between moon a and the planet. how does force exerted from the planet on moon a compare to the force exe
Eight times more gravitational pull is exerted by the planet on Moon A than Moon B due to gravitational attraction.
All material objects in the universe are subject to gravity, commonly known as gravitation. The force of gravity tends to pull any two objects or particles with nonzero mass toward one another. From subatomic particles to galaxy clusters, gravity affects all sizes of objects. Additionally, it works over all distances, no matter how tiny or large.
One of the most researched physics phenomena is gravitation. With his renowned Law of Universal Gravitation, Isaac Newton described its behaviour. According to Newton's theory, the gravitational force between any two spherical objects of uniform density is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
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1. how would the horizontal range change if the initial velocity was doubled? explain (use the equation from the theory section, if needed).
The range will become the 4 times of intial velocity
if the initial velocity is doubled then the horizontal range will be 4 times.
R = u² sin²θ / g
R directly proportional U²
if initial velocity becomes 2 times, then horizontal range becomes 4 times.
This will be when angel of projection is same, the horizontal velocity is directly proportional to initial velocity.
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an electron travels through space and has a velocity uncertainty of 131 m/s. what is the minimum uncertainty in the electron's position?
The minimum uncertainty in the electron's position is equal to the velocity uncertainty divided by the speed of light, which is 131 m/s / 299,792,458 m/s ≈ 4.37 × 10^−9 m.
The minimum uncertainty in the electron's position is determined by the Heisenberg Uncertainty Principle, which states that the product of the uncertainties in position and momentum have to be greater than or equal to a constant, which is equal to Planck's constant (h) divided by 4π.
Therefore, the minimum uncertainty in the electron's position (Δx) can be calculated using the equation below:
Δx * Δp ≥ h/4π
Where Δp is the uncertainty in the electron's momentum, which is equal to the electron's velocity uncertainty (Δv) multiplied by the electron's mass (m):
Δp = Δv * m
Inserting this into the equation for the minimum uncertainty in position, we get:
Δx * Δv*m ≥ h/4π
Simplifying and rearranging this equation, we get:
Δx ≥ h/4π * (1/m*Δv)
For a single electron with a mass of 9.11 x 10-31 kg and velocity uncertainty of 131 m/s, the minimum uncertainty in its position is 1.11 x 10.
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Why is sleep important for safety?
Sleep is very crucial for safety. Proper sleep helps persons to behave well and choose correct decision during chaos .Exa-Crossing the road.
Sleep isn't just significant for generally speaking energy level at work, however fundamental for our general medical issue. Unfortunate rest propensities can prompt circulatory strain issues, which thus can prompt various medical problems. In this issue we'll be taking a gander at rest, why it makes a difference for work environment wellbeing, and how to urge all your staff to get a decent night's rest.
A laborer's body needs to dial back and rest to keep the heart solid. A very much refreshed body is connected to a sound, serious areas of strength for heart framework and diminished degrees of stress. Rest is significant for wellbeing and the connection among rest and security is obviously significant too.
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a 0.4m rod of some material elongates 0.1 mm on heating from 30 to 118. determine the value of the linear coefficent of thermal expansion
The value of the linear coefficient of thermal expansion is : α= 2.841 * 10⁻⁶ (ºC)⁻¹
Li = 0.4m
ΔL = 0.1 mm = 0.0001m
T1 = 30ºC
T2 = 118ºC
ΔT = 88ºC
α =ΔL/(Li*ΔT)
α =0.0001m /(0.4m * 88ºC)
α = 2.841 * 10⁻⁶ (ºC)⁻¹
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brandon is on one side of a river that is 70 m70 m wide and wants to reach a point 300 m300 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. find the minimum amount of time if brandon can swim at 2 m/s2 m/s and run at 4 m/s.at 4 m/s. (use decimal notation. give your answer to two decimal places.) the minimum amount of time is s
The minimum time required to get there is 79.5 s.
What does downstream mean?The direction of or nearer to the mouth of a stream.
On one side of a river is Brandon.
The river is 70 meters wide.
Brandon can swim at a speed of 2 m/s.
Brandon moves at a running pace of 6 m/s.
Let's assume that the included angle is 45 degrees.
Therefore, Brandon covered 99 meters in water.
Given that Brandon swims at a speed of 2 m/s
Time = distance / time
t = 99/2 = 49.5
The remaining distance to be covered while running is 250 - 70 = 180 m, hence the time required to do it is 180/6 = 30 s.
The time needed to get there is therefore 49.5 + 30 = 79.5 s.
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a capacitor in a series rc circuit is charged to 60% of its maximum value in 1.0 s. find the time constant of the circuit.
The time constant of the circuit is 0.9163τ
The charge of RC circuit is
q = 0.6q0
The expression for a charging capacitor is given by,
q = q0 ( 1- e⁻⁽⁻t/T⁾)
Here, t
is the time, q0 is the equilibrium charge of circuit and τ is the time constant.
Substitute all the known values in the above formula.
t≈0.9163τ
The term time constant in an RC circuit can be evaluated with the help of the equilibrium charge of the circuit, charge at a specific time and time. The relation for a charging capacitor is an exponential expression.
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a car approaches a stationary police car at 30 m/s. the frequency of the siren (relative to the police car) is 500 hz. what is the frequency (in hz) heard by an observer in the moving car as he approaches the police car? (assume the velocity of sound in air is 343 m/s.) a. 544 b. 226 c. 448 d. 550 e. 483
The frequency (in Hz) heard by an observer in the moving car as he approaches the stationary police car (assuming the velocity of sound in air is 343 m/s) is 544 Hz. So, the answer is A.
What is velocity?It is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
Assuming the velocity of sound in air is 343 m/s, what is the frequency (in Hz) heard by an observer in the moving car as he approaches the police car?
Velocity of car Vc = 30 m/s
Velocity of sound V = 343 m/s
frequency of siren f = 500 Hz
So, the frequency that heard by the observer when the police car approaches is :
f1 = f * (V + Vc) / V
where
f = frequency of siren (relative to the police car)
V = velocity of the car
Vc = velocity of sound in air
f1 = frequency heard by the observer
= 500 * (343 + 30) / 343
= 543.73Hz
= 544 Hz (rounded)
Therefore, the frequency that heard by the observer when the police car approaches him is 544Hz, and the answer is A.
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For two forces to be balanced, what must be true?
Answer:
equal magnitude and opposite direction
9. An object with mass M is subjected to a force of 100 newtons and accelerates at rate A. How much force would be needed to make mass M accelerate at rate 4A?
25 Newtons force would be needed to make mass M accelerate at rate 4A
How much force would be needed?An object with mass M is subjected to a force of 100 newtons and accelerates at rate A.
The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.The equation F = m x a describes the force (F) needed to move an object with mass (m) and acceleration (a). Therefore, force is equal to mass times acceleration.25 Newtons force would be needed to make mass M accelerate at rate 4A
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In a mechanical wave, the restoring force is the force that actually causes the oscillation. In which direction does a restoring force act?
For oscillation in mechanical wave, restoring force acts in a direction opposite to direction of displacement.
In physics, an object is said to be in equilibrium if there is no net force acting on the object. This can happen when the magnitude and direction of the forces acting on the object are perfectly balanced or simply because there are no forces acting on the object.Not all forces try to restore the object back to equilibrium, but forces that do so are called restoring forces.A restoring force is a force acting against the displacement in order to try and bring the system back to equilibrium.The restoring force is a function that depends on the position of an object or system. This type of force is responsible for generating oscillations and is necessary for an object to be in moving in simple harmonic motion. The restoring force is what causes the change in acceleration of an object in simple harmonic motion. A displacement from the equilibrium position results in the system storing potential energy.To know more about forces visit:
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Explain the image below in terms of Newton’s Laws.
The image given, is explained in terms of Newton's 1st law of motion.
What is Newton's 1st law of motion?Based on Newton's First Law of Motion (Inertia). An object at rest remains at rest, and an object in motion continues in motion at a steady speed and in a straight path until operated on by an unbalanced force.
Newton's first rule of motion states that if a pan of water were being moved along a track, the water would tend to keep moving ahead. However, the water will appear to splash to the right while it goes to the left. Space is nearly a perfect vacuum, devoid of both gravity and matter. Think about a satellite travelling 17,500 mph around the Earth. If a rock were to be launched from the satellite, it would orbit the earth adjacent to the satellite at a speed of 17,500 mph.
Here, in the given image, it is shown that the sofa is remain in the place unless a person forcefully move it from one place to another.
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pls hurrryyyy!!!!!!!! please
Answer:
The penguins are gliding foward without stopping because there is no external force changing their state.
Explanation:
Newtons first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
Radio waves travel at a speed of 1.7x10^8 m/s through ice. A radio wave pulse sent into antarctic ice reflects off earth at the bottom and returns to the surface in 32.9x10^-6 s. how deep is the ice?
The depth of the ice was found to be 26.55 x 10 ^ 12 m.
What exactly are radio waves?
A transmitter emits nonparticulate radiation, which is sensed by a receiver. An antenna allows a transmitter to transfer energy into house and a receiver to pick up energy from space. Transmitters and receivers are typically designed to operate on a limited range of frequencies.
The ice depth is then 26.55 x 1012 m.
Let's call the radio wave's speed 'v.'
Let the frequency of the radio wave be represented as 'f'.
Let's call the radio wave's distance's.'
Let's call the radio wave's time period 't.'
Distance formula:
v=s/t
v=s/1/t
The inverse of time period is frequency. As a result, 1/t in the preceding formula can be substituted by f.
v=sxf
filling in the blanks in the above equation
t = 32.9 x 10 ^ -6
v = 1.7 x 10 ^ 8 x m / s
Then, f = 1 / t
Then, f = 1 / t
f= 1/3.2 x 10 - 6 s - So,
s = 1.7 x 10 x 1/3.2 x 10-
= 1.7/3.2 x 10 (8 + 6)
= 0.531 x 10 14
= 53.1
The depth of the ice would therefore be s/2 since the wave covers the distance twice in the specified time period.
Ice depth = 53.1 x 1012/2
Ice depth = 26.55 x10 12 x m
26.55 x 10 ^ 12 x m
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Additionally, the radio wave is moving at the speed of light, or 3 10 8 m/s. As a result, radio waves travel for 12.58 minutes.
What exactly are radio waves?
A transmitter emits nonparticulate radiation, which is sensed by a receiver. An antenna allows a transmitter to transfer energy into house and a receiver to pick up energy from space. Transmitters and receivers are typically designed to operate on a limited range of frequencies.
The ice depth is then 26.55 x 1012 m.
Let's call the radio wave's speed 'v.'
Let the frequency of the radio wave be represented as 'f'.
Let's call the radio wave's distance's.'
Let's call the radio wave's time period 't.'
Distance formula:
v=s/t
v=s/1/t
The inverse of time period is frequency. As a result, 1/t in the preceding formula can be substituted by f.
v=sxf
filling in the blanks in the above equation
t = 32.9 x 10 ^ -6
v = 1.7 x 10 ^ 8 x m / s
Then, f = 1 / t
Then, f = 1 / t
f= 1/3.2 x 10 - 6 s - So,
s = 1.7 x 10 x 1/3.2 x 10-
= 1.7/3.2 x 10 (8 + 6)
= 0.531 x 10 14
= 53.1
The depth of the ice would therefore be s/2 since the wave covers the distance twice in the specified time period.
Ice depth = 53.1 x 1012/2
Ice depth = 26.55 x10 12 x m
26.55 x 10 ^ 12 x m
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describe how the universe changed in going from the early universe to the universe some time later.
They moved away from each other in going from the early universe to the universe some time later.
As time goes on, the Universe not only forms elements, atoms, and clumps and clusters together that lead to stars and galaxies, but expands and cools the entire time. The Universe continues to expand even today, growing at a rate of 6.5 light-years in all directions per year as time goes on.
Starting from extremely high density and temperature, space expanded, the universe cooled, and the simplest elements formed. Gravity gradually drew matter together to form the first stars and the first galaxies.
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The actual usage for grain depends on which llamas show up at feeding time, thus there is an average need for 50 pounds of grain each day with a standard deviation of five pounds. In addition, there is some variability in how long it takes the feed store to whip up a batch of llama feed. The standard deviation of the feed prep is one day. The farm is willing to tolerate a 2% chance of running out of feed before they can get some more hauled in. Which adjustment to their system would have the greatest impact on the reorder point?.
The adjustment that would have the greatest impact on the reorder point would be reducing the standard deviation of the feed prep time.
By reducing the standard deviation of the feed prep time, the farm would be able to order the feed earlier, thus reducing the chance of running out of feed. This would have the effect of lowering the reorder point, as there would be less time between when the feed is ordered and when it arrives.
Additionally, reducing the standard deviation of the feed prep time would be more effective than trying to reduce the standard deviation of the grain usage, as the former is more controllable and can be adjusted more precisely.
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on the moon, the acceleration due to gravity is -1.6 meters per second per second. a stone is dropped from a cliff on the moon and hits the surface of the moon 28 seconds later. how far did it fall? (round your answer to one decimal place.)
a) - 627.7 m
b) - 44.8 m/s
a) we use the formula,
d = gt²/2
when we substitute the values,
d = -1.6 X 28²/2
= -1.6 X 784/2
= - 627.2m
distance travelled by the stone was - 627.2m
b) calculate the impact,
v = gt
substitute,
v = (-1.6) X 28
v = - 44.8 m/s
The negative sign here indicates that the object is going down.
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a2.25m segment of wire supplying current to the motor of a submerged submarine carries750a and feels a3.5n repulsive force from a parallel wire 5.00 cm away. what is the magnitude of the current in the other wire in a?
For a 2.25 m segment of wire supplying current to the motor of a submerged submarine, which carries 750 a and feels a3.5 n, the magnitude of the current in the other wire is I2 = 518 A.
where,
The current in wire 1 is equal to 750 in I1. A
I2 is the wire 2 current, and it needs to be computed.
The wire's length is 2.25 m, while the spacing between the two wires is 5.00 cm, or 0.050 m.
Force is attractive if they are carrying current in the same direction.
Force is repellent if they are carrying the opposing stream.
The force in the question is 3.5 N and is repulsive in nature.
The current in wire 2 that is causing the force on wire 1 must be calculated. I2 = 3.5N*2*pi*0.05/Mo*750A*2.25m I2 = 518A can be expressed as the result of the equation above.
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