AP Physics B : Forces

Study concepts, example questions & explanations for AP Physics B

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Example Questions

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Example Question #11 : Forces

astronaut on Earth uses a space elevator to get to a space station. From the ground, the elevator accelerates upwards at . During this acceleration, what is the normal force acting on the astronaut?

Possible Answers:

Correct answer:

Explanation:

This question essentially asks how much the astronaut will weigh during acceleration. The two forces acting on the astronaut are the downward gravitational force and the upward normal force. The net force acting on this astronaut is .

Notice that the net force is set to equal to  to show that the astronaut is accelerating due to the elevator.

Isolate the normal force.

Use the given values to solve.

Example Question #13 : Ap Physics 1

A potted plant is hanging from a rope attached to a hook. The plant exerts 25N of force. Assume the rope is weightless.

If the packaging says the rope is able to withstand 800N of force, what is the maximum amount of mass that can be hanging from the rope?

Possible Answers:

Correct answer:

Explanation:

If the rope can only withstand 800N of force, we can solve for the mass of the object which would result in this maximum force when hanging from the rope.

Example Question #1 : Understanding Newton's Laws

A skydiver with a mass of 100kg jumps out of an airplane and reaches a terminal velocity of .

Which of the following factors will not decrease the total force on the man as he jumps from the plane?

Possible Answers:

The man jumps as the plane is descending sharply

The man immediately opens his parachute

Increasing the man's mass

The man orients his stomach toward the ground, rather than his feet

Correct answer:

Increasing the man's mass

Explanation:

The equation for force is  This shows that by increasing the man's mass, his force will increase after jumping from the plane.

All other options will result in a decreased acceleration when falling. Falling with his stomach downward increases the surface area of the diver, which increases his air resistance. A parachute will also increase the air resistance and surface area. If the plane is descending when he jumps, his time to reach terminal velocity will be reduced, as he will already have an initial velocity in the downward direction.

Example Question #43 : Forces

A skydiver with a mass of 100kg jumps out of an airplane and reaches a terminal velocity of .

What is the total force acting on the skydiver at this point in his jump?

Possible Answers:

Correct answer:

Explanation:

The man has reached a terminal velocity, which means that he has an acceleration of   Because , the total force on the skydiver is 0N. At this point, the force due to gravity in the downward direction is equal to the force of air resistance in the upward direction.

Example Question #1 : Understanding Newton's Laws

A man pushes a crate across a frictionless floor at a constant velocity. Which of the following statements is true?

Possible Answers:

The force the man exerts on the crate is equal and in the same direction as the force the crate exerts on the man

The force the man exerts on the crate is equal and opposite to the force the crate exerts on the man

The force on the crate is less than the force on the man

The net force on the man is greater than zero

The force on the crate is greater than the force on the man

Correct answer:

The force the man exerts on the crate is equal and opposite to the force the crate exerts on the man

Explanation:

According to Newton's third law, the force on the crate must have the same magnitude as the force on the man. The forces must also be in opposite directions. We can conclude that the net force on the man is zero, since he is moving with the crate at a constant velocity.

Example Question #1 : Newton's Second Law

A 2000kg car with a velocity of  collides head on with a 6000kg truck with a velocity of . Which vehicle experiences the greater force? Which experiences the greater acceleration?

Possible Answers:

The truck experiences the greater force and the greater acceleration

The car and the truck experience equal force and the car experiences greater acceleration

The car experiences the greater force and the greater acceleration

The truck experiences the greater force and the car experiences the greater acceleration

Both the car and the truck experience equal force and acceleration

Correct answer:

The car and the truck experience equal force and the car experiences greater acceleration

Explanation:

The car and the truck experience equal and opposite forces, but since the car has a smaller mass it will experience greater acceleration than the truck according to the equation F = ma.

A greater mass will decrease the acceleration.

Example Question #1 : Universal Gravitation

The moon's distance from the center of the Earth was decreased by a multiple of three. How would this affect the gravitational force of the Earth on the moon? 

Possible Answers:

The gravitational force would not be affected, because the moon's mass is the same

It would increase by a factor of three

It would decrease by a factor of nine

It would increase by a factor of nine

Correct answer:

It would increase by a factor of nine

Explanation:

The law of gravitation is written as , with G being equal to .

Since the radius of the two masses acting on each other is squared, and is found in the denominator, a decrease in the radius by a multiple of three will cause a nine-fold increase in the gravitational force.

Example Question #1 : Newton's Second Law

What is the acceleration due to gravity on a planet on which an object with a mass of 20.0kg has a weight of 270N?

Possible Answers:

0.074m/s2

10m/s 2

27m/s2

13.5m/s2

Correct answer:

13.5m/s2

Explanation:

Solve the following equation for acceleration, using the values given in the question.





Example Question #71 : Newtonian Mechanics

Cliff_horizontal

A ball is thrown horizontally off a cliff of height of with an initial velocity of . How far from the cliff will the ball land?

Possible Answers:

Correct answer:

Explanation:

First we will find the time required for the ball to reach the ground. Since the ball is thrown horizontally, it has no initial vertical component. We use the following equation to solve for the total flight time:

We are given the change in height, initial velocity, and acceleration. Using these values, we can solve for the time. Note that the change in height will be negative, since the ball is traveling downward.

Finally, we use the horizontal velocity to find the distance traveled in . Remember that the horizontal velocity remains constant during projectile motion.

Example Question #1 : Universal Gravitation

A certain planet has three times the radius of Earth and nine times the mass. How does the acceleration of gravity at the surface of this planet (ag) compare to the acceleration at the surface of Earth (g)?

Possible Answers:

Correct answer:

Explanation:

The acceleration of gravity is given by the equation a_{g} = \frac{GM}{r^{2}}, where G is constant.

For Earth, a_{g} = \frac{GM_{earth}}{r_{earth}^{2}} = g.

For the new planet, 

.

So, the acceleration is the same in both cases.

 

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