Q: What is the net work needed to change the speed of a $$1600\ \mathrm{kg}$$ sport utility vehicle from $$15.0\ \mathrm{m/s} to$$ $$40.0\ \mathrm{m/s}$$?

$$1.10 \times 10^6$\ \mathrm{J}$$

Q: An $$8.0\ \mathrm{g}$$ bullet is suddenly shot into a $$4.0\ \mathrm{kg}$$ block at rest on a frictionless horizontal surface. The bullet remains lodged in the block, which then compresses a spring by $$3.7\ \mathrm{cm}. If $$the spring constant is $$k$$, what is the initial speed $$v of $$the bullet?

$$v = \frac{(m_{\text{block}} + m_{\text{bullet}})}{m_{\text{bullet}}} \sqrt{\frac{kx^2$}{m_{\text{block}} + m_{\text{bullet}}}}$$

Question 1

An object moves in a circular path at a constant speed. What is the relationship between the directions of the object's velocity and acceleration vectors?

Accepted Answer

The velocity and acceleration vectors are perpendicular.

Question 2

An object hits a wall and bounces back with half of its original speed. What is the ratio of the final kinetic energy to the initial kinetic energy of the object?

Accepted Answer

$$\frac{1}{4}$$

Question 3

What is the net work needed to change the speed of a $$1600\ \mathrm{kg}$$ sport utility vehicle from $$15.0\ \mathrm{m/s} to$$ $$40.0\ \mathrm{m/s}$$?

Accepted Answer

$$1.10 	imes 10^6$\ \mathrm{J}$$

Question 4

A $$1.5\ \mathrm{kg}$$ block moving on a rough level surface with an initial speed of $$4\ \mathrm{m/s}$$ experiences a constant friction force of $$0.50\ \mathrm{N}. $$What is the distance it can slide before stopping?

Accepted Answer

$$24\ \mathrm{m}$$

Question 5

Neglecting air resistance, when you toss a stone straight up in the air from Earth's surface, which of the following statements is true for the upward motion of the stone?

Accepted Answer

The stone's kinetic energy decreases while its gravitational potential energy increases.

Question 6

An object of mass $$4\ \mathrm{kg}$$ starts at rest from the top of a rough inclined plane of height $$10\ \mathrm{m}. If $$the speed of the object at the bottom of the inclined plane is $$10\ \mathrm{m/s}$$, how much work is done by the force of friction? Use $$g = 10\ \mathrm{m/s^2$}.$$

Accepted Answer

$$-200\ \mathrm{J}$$

Question 7

Two objects $$m_1 = 3$$\ \mathrm{kg}$$ and m_2$ = 1\ \mathrm{kg}$$ move with the same speed $$v in $$opposite directions in a straight line. If the objects stick together when they collide, what is the speed of the system after collision?

Accepted Answer

$$\frac{v}{2}$$

Question 8

A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the magnitude of the average collision force is correct?

Accepted Answer

The small car and the truck experience the same average force.

Question 9

A $$65\ \mathrm{g}$$ handball hits the floor with $$v = 4.42\ \mathrm{m/s}$$, and bounces back with a speed of $$3.95\ \mathrm{m/s}. $$What is the magnitude of the impulse received by the ball from the floor?

Accepted Answer

$$0.55\ \mathrm{N\cdot s}$$

Question 10

A $$320\ \mathrm{g}$$ air track cart traveling at $$1.25\ \mathrm{m/s}$$ suddenly collides elastically with a stationary $$270\ \mathrm{g}$$ cart. What is the speed of the $$270\ \mathrm{g}$$ cart just after the collision?

Accepted Answer

$$1.14\ \mathrm{m/s}$$

Question 11

In order to simulate weightlessness for astronauts in training, they are flown in a vertical circle. If the passengers are to experience weightlessness, how fast should an airplane be moving at the top of a vertical circle with a radius of $$2.5\ \mathrm{km}$$?

Accepted Answer

$$79\ \mathrm{m/s}$$

Question 12

Refer to the diagram with four point masses. What are the $$x$$ and $$y$$ coordinates of the center of mass (or center of gravity) of this arrangement?

Accepted Answer

$$(2.3\ \mathrm{m},\ 2.7\ \mathrm{m})$$

Question 13

A $$0.5\ \mathrm{kg}$$ pendulum bob starts from rest at point A, which is $$h$$ meters above point B. Neglecting air resistance, what is the speed of the pendulum bob at point B?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 14

An $$8.0\ \mathrm{g}$$ bullet is suddenly shot into a $$4.0\ \mathrm{kg}$$ block at rest on a frictionless horizontal surface. The bullet remains lodged in the block, which then compresses a spring by $$3.7\ \mathrm{cm}. If $$the spring constant is $$k$$, what is the initial speed $$v of $$the bullet?

Accepted Answer

$$v = \frac{(m_{	ext{block}} + m_{	ext{bullet}})}{m_{	ext{bullet}}} \sqrt{\frac{kx^2$}{m_{	ext{block}} + m_{	ext{bullet}}}}$$

Question 15

A $$2\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 16

A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$10\ \mathrm{m}. $$What is its kinetic energy just before hitting the ground?

Accepted Answer

$$E_k = mgh$$

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