AP Physics 1 : Newtonian Mechanics

Study concepts, example questions & explanations for AP Physics 1

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Example Questions

Example Question #801 : Ap Physics 1

Four ropes are used to lift a car with a vertical acceleration of . Determine the tension in an individual rope.

Possible Answers:

Correct answer:

Explanation:

Using superposition of forces and definition of force:

All four ropes will be providing the same force.

Combining equations

Solving for , the force of tension in one rope:

Plugging in values, remembering that gravity is pointing down and thus will be a negative number.

Example Question #811 : Ap Physics 1

Suppose that a person is pulling a  box tied to a string across the ground, as shown in the diagram below.

Vt physics 11 25 15 moving box

If the string is situated at an angle of  with respect to the horizontal and the coefficient of kinetic friction of the box with respect to the ground is , what tension in the string is necessary so that the box moves at a constant speed?

Possible Answers:

There is not enough information given to answer this question

Correct answer:

Explanation:

To answer this question, we need to separately consider the component forces acting in the horizontal and vertical direction.

First, let's consider the vertical component. Since the box is only moving in the horizontal direction, we know that there are no net forces acting in the vertical direction. Consequently, the net force in the y-direction is zero.

Next, let's look at the forces acting in the horizontal direction. Since we need to figure out the force in the string necessary to make the box move at a constant speed, we're looking for a situation in which the box is not accelerating in the horizontal direction. Thus, we're looking for a case in which the net force in the x-direction is zero.

Now, let's rewrite the expression for the force of kinetic friction.

Now, plugging in the expression for the normal force, we obtain the following.

Next, let's go ahead and plug in the values given to us in the question stem.

Example Question #811 : Ap Physics 1

 toy is held to a hook on the ceiling with fishing line, determine the tension in the line.

Possible Answers:

None of these

Correct answer:

Explanation:

Example Question #202 : Specific Forces

 toy if being lifted to the ceiling at  by a fishing line. Determine the tension in the line.

Possible Answers:

Correct answer:

Explanation:

Example Question #812 : Ap Physics 1

A crane is used to lift a safe of mass  at . Determine the tension in the cable between the crane and the safe.

Possible Answers:

None of these

Correct answer:

Explanation:

Example Question #12 : Tension

A  string is used to hold up a  rock. The nickel is swaying back and forth. At the bottom of the swing, the rock is moving at . Determine the tension in string at this time.

Possible Answers:

None of these

Correct answer:

Explanation:

The swinging back and forth motion is a part of a circle, thus

Combining equations

There will be the force of gravity and the string acting on the coin

Solving for tension:

Converting and plugging in values:

Example Question #204 : Specific Forces

A 20 kg box hangs in an elevator by a cord rated to withstand  a tension force of 250 N. If the elevator, from rest, moves upward until the cord breaks, what was the acceleration of the elevator when the cord broke? Assume .

Possible Answers:

None of these

Correct answer:

Explanation:

Start with the formula for force and solve for acceleration. Then subtract the acceleration of gravity because the elevator is moving up.

 

Example Question #772 : Newtonian Mechanics

A spring is attached to a rope that is hanging from the ceiling. A block of mass  is attached to the end of the spring which has a constant of . What amplitude would result in a minimum rope tension of ?

Ignore the mass of the rope and spring and assume simple harmonic motion.

Possible Answers:

Correct answer:

Explanation:

There are two forces contributing to tension in the rope: the weight of the mass and the force of the spring. When the tension of the rope is zero, we know that these two forces are equal and opposite. Furthermore, the weight of the mass will always be pointed down, so the force of the spring (relative to the rope) will be pointed upward. This occurs in a moment of compression of the spring. With that said, we just need to solve the following expression:

Rearranging for displacement:

Plugging in our values:

Example Question #811 : Ap Physics 1

Jennifer has a mass of  and is swinging on a  long rope at . Determine the tension in the rope at the bottom of her swing.

Possible Answers:

Correct answer:

Explanation:

Example Question #1 : Other Forces

A scuba diver and his equipment have a total mass of  and a total volume of . If he wants to maintain a constant depth of , what average vertical force must he exert on the water with his flippers?

 

Possible Answers:

None of the other answers

Correct answer:

Explanation:

If the diver stays at a constant depth, we know that all the forces on him must cancel out:

We can write out all of the forces on the diver, using force of the flippers to denote the vertical force he exerts to stay at constant depth:

The force of gravity and bouyancy counteract each other, so they will have opposite signs. If we assume that the force of flippers will be down, we can write:

The bouyancy force is simply the weight of the water displaced by the diver. Plugging in expressions for the latter two forces:

We have values for all of these, allowing us to solve:

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