Question 1

A racing car accelerates uniformly from rest along a straight track. The car reaches a speed of $$140\ \mathrm{km/h} as it $$passes marker 2. Where on the track was the car when it was traveling at half this speed, that is at $$70\ \mathrm{km/h}$$?

Accepted Answer

Before marker 1

Question 2

A piano mover raises a $$1000\ \mathrm{N}$$ piano at a constant speed using a very light rope in a frictionless pulley system, as shown. With what force is the mover pulling down on the rope?

Accepted Answer

$$500\ \mathrm{N}$$

Question 3

The figure shows a graph of the position $$x of $$two cars, C and D, as a function of time $$t. $$According to this graph, which statements about these cars must be true?

Accepted Answer

Both cars have the same acceleration.

Question 4

Two blocks, A and B, are being pulled to the right along a horizontal surface by a horizontal $$100\ \mathrm{N}$$ pull, as shown. Both of them are moving together at a constant velocity of $$2.0\ \mathrm{m/s} to $$the right, and both weigh the same. Which of the following best describes the horizontal forces acting on the lower block, B?

Accepted Answer

There is a $$100\ \mathrm{N}$$ pull to the right and an equal and opposite friction force to the left.

Question 5

A child on a sled starts from rest at the top of a $$15^{\circ}$$ slope. If the trip to the bottom takes $$15.2\ \mathrm{s}$$, how long is the slope? (Assume frictional forces may be neglected.)

Accepted Answer

$$293\ \mathrm{m}$$

Question 6

An airplane increases its speed at the average rate of $$15\ \mathrm{m/s^2$}. $$How much time does it take to increase its speed from $$100\ \mathrm{m/s} to$$ $$160\ \mathrm{m/s}$$?

Accepted Answer

$$4.0\ \mathrm{s}$$

Question 7

In the absence of air resistance, a ball is thrown vertically upward with initial speed $$v. An $$identical ball is thrown upward with initial speed $$2v. If $$the first ball reaches a maximum height $$h$$, what maximum height will the second ball reach?

Accepted Answer

$$4h$$

Question 8

If vector $$\vec{A}$$ has components $$A_x = -3.0\ \mathrm{N}$$ and $$A_y = -4.0\ \mathrm{N}$$, and vector $$\vec{B}$$ has components $$B_x = 3.0\ \mathrm{N}$$ and $$B_y = -8.0\ \mathrm{N}$$, what is the magnitude of vector $$\vec{C} = \vec{A} - \vec{B}$$?

Accepted Answer

$$7.2\ \mathrm{N}$$

Question 9

A projectile is launched with an initial velocity of $$80\ \mathrm{m/s} at$$ $$30^{\circ}$$ above the horizontal. Neglecting air resistance, what is the horizontal component of the projectile's acceleration?

Accepted Answer

$$0\ \mathrm{m/s^2$}$$

Question 10

A race car traveling at a constant speed of $$50\ \mathrm{m/s}$$ drives around a circular track that is $$500\ \mathrm{m} in $$diameter. What is the magnitude of the acceleration of the car?

Accepted Answer

$$10\ \mathrm{m/s^2$}$$

Question 11

While flying horizontally in an airplane, you notice that a string dangling from the overhead luggage compartment hangs at rest at $$15^{\circ}$$ away from the vertical toward the front of the plane. Using this observation, you can conclude that the airplane is:

Accepted Answer

Accelerating backward.

Question 12

On its own, a tow truck has a maximum acceleration of $$3.0\ \mathrm{m/s^2$}. $$What will be its maximum acceleration when the truck is using a light horizontal chain to tow a bus of twice its own mass?

Accepted Answer

$$1.0\ \mathrm{m/s^2$}$$

Question 13

A $$3.0\ \mathrm{kg}$$ mass and a $$5.0\ \mathrm{kg}$$ mass hang vertically at the opposite ends of a rope that goes over an ideal pulley. If the masses are gently released from rest, how long does it take for the $$3.0\ \mathrm{kg}$$ mass to rise by $$1.0\ \mathrm{m}$$?

Accepted Answer

$$0.90\ \mathrm{s}$$

Question 14

During a hockey game, a puck is given an initial speed of $$10\ \mathrm{m/s}. It $$slides $$50\ \mathrm{m} on $$the horizontal ice before it stops due to friction. What is the coefficient of kinetic friction between the puck and the ice?

Accepted Answer

$$0.10$$

Physics with Calculus: Step-by-Step Guidance for Exam Questions

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