Question 1

Which of the following best describes the difference between distance and displacement in 1D kinematics?

Accepted Answer

Distance is the total length traveled regardless of direction, while displacement is the straight-line change in position with direction.

Question 2

A football is kicked at the launch angle that maximizes its horizontal range. If the ball is caught 40 m downfield at the same vertical level, what is the hang time? (Neglect air resistance)

Accepted Answer

$$2.86\ 	ext{s}$$

Question 3

How many significant figures are in the number 0.1050?

Accepted Answer

4

Question 4

Which of the following expressions is dimensionally correct, where $$x is $$distance, $$a is $$acceleration, $$v is $$velocity, and $$t is $$time?

Accepted Answer

$$t = \frac{v}{a} - t$$

Question 5

A penny is thrown straight down into a well with an initial speed of $$2\ 	ext{m/s}. It $$strikes the water $$1.0\ 	ext{s}$$ later. Neglecting air resistance, what is the depth of the well?

Accepted Answer

$$6.9\ 	ext{m}$$

Question 6

A stone is projected at a cliff of height $$h$$ with an initial speed of $$42.0\ 	ext{m/s}$$ directed at angle $$60^{\circ}$$ above the horizontal. The stone strikes at point A, $$5.50\ 	ext{s}$$ after launching. What is the height $$h of $$the cliff?

Accepted Answer

$$51.8\ 	ext{m}$$

Question 7

A car is coasting up a $$15^{\circ}$$ incline with an initial speed of $$5\ 	ext{m/s}. $$Neglecting friction and air resistance, how much time does it take for the car to come to rest?

Accepted Answer

$$2.0\ 	ext{s}$$

Question 8

A train engine pulls 4 identical carts (each mass $$m=2\ 	ext{kg}) on a $$frictionless horizontal track with a constant force $$F=20\ 	ext{N}. $$All carts accelerate together. What is the coupling force between cart 1 (closest to engine) and cart 2?

Accepted Answer

$$15\ 	ext{N}$$

Question 9

A particle slides along a track with elevated ends and a flat central part of length $$L = 40\ 	ext{cm}. $$The curved portions are frictionless, but for the flat part the coefficient of kinetic friction is $$0.20. $$The particle is released from rest at point $$A$$, which is at height $$h = L/2. $$How far from the left edge of the flat part does the particle finally stop?

Accepted Answer

$$20\ 	ext{cm}$$

Question 10

A $$10\ 	ext{g}$$ bullet moving at $$1000\ 	ext{m/s}$$ strikes and passes through a $$2.0\ 	ext{kg}$$ block initially at rest. The bullet emerges from the block with a speed of $$400\ 	ext{m/s}. To $$what maximum height will the block rise above its initial position?

Accepted Answer

$$0.46\ 	ext{m}$$

Question 11

The speed of a $$2.0\ 	ext{kg}$$ object changes from $$30\ 	ext{m/s} to$$ $$40\ 	ext{m/s}$$ during a $$5.0\ 	ext{s}$$ time interval. During this same time interval, the velocity of the object changes its direction by $$90^{\circ}. $$What is the magnitude of the average total force acting on the object during this time interval?

Accepted Answer

$$20\ 	ext{N}$$

Question 12

A cockroach of mass $$0.17\ 	ext{kg}$$ runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has radius $$15\ 	ext{cm}$$, rotational inertia $$5.0 	imes 10$$^{-3}$$\ 	ext{kg}\cdot	ext{m}^2$$, and frictionless bearings. The cockroach’s speed (relative to the ground) is $$2.0\ 	ext{m/s}$$, and the lazy Susan turns clockwise with angular speed $$\$$omega_0$$ = 2.8\ 	ext{rad/s}. $$The cockroach finds a bread crumb on the rim and stops. What is the angular speed of the lazy Susan after the cockroach stops?

Accepted Answer

$$4.2\ 	ext{rad/s}$$

Question 13

At which level(s) in a U-tube containing two liquids in equilibrium must the pressure be the same in both sides of the tube?

Accepted Answer

The pressure is the same on both sides at any given level

Question 14

Consider a brick that is totally immersed in water, with the long edge of the brick vertical. The pressure on the brick is:

Accepted Answer

Greatest on the bottom of the brick

Question 15

A $$10\ 	ext{kg}$$ piece of aluminum sits at the bottom of a lake, right next to a $$10\ 	ext{kg}$$ piece of lead, which is much denser than aluminum. Which one has the greater buoyant force on it?

Accepted Answer

The aluminum

Question 16

Which equation represents the work-energy theorem?

Accepted Answer

$$W = \Delta K$$

Question 17

A block is attached to a spring and pulled so that the spring stretches by $$x. $$According to Hooke’s law, what is the force exerted by the spring?

Accepted Answer

$$F = -kx$$

Question 18

Which of the following is true for an elastic collision?

Accepted Answer

Both momentum and kinetic energy are conserved.

Question 19

Which principle explains why hydraulic lifts can multiply force?

Accepted Answer

Pascal’s Principle

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