Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

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

Question 2

Which of the following best describes the difference between a scalar and a vector quantity?

Accepted Answer

A scalar has only magnitude, while a vector has both magnitude and direction.

Question 3

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$40\ \mathrm{m/s}. $$Neglecting air resistance, what is the horizontal component of its velocity?

Accepted Answer

$$40\cos 30^\circ = 34.6\ \mathrm{m/s}$$

Question 4

A $$5\ \mathrm{kg}$$ block is pulled across a horizontal surface with a constant velocity by a force of $$20\ \mathrm{N}. $$What is the coefficient of kinetic friction between the block and the surface? (Take $$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.4$$

Question 5

A ball is dropped from a height of $$45\ \mathrm{m}. $$How long does it take to reach the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 6

Which of the following statements about Newton's Third Law is correct?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 7

A $$2\ \mathrm{kg}$$ object moving at $$3\ \mathrm{m/s}$$ collides inelastically with a $$1\ \mathrm{kg}$$ object at rest. What is their final velocity after the collision?

Accepted Answer

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

Question 8

A $$0.5\ \mathrm{kg}$$ mass attached to a spring oscillates with a period of $$2\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$\displaystyle k = \frac{4\pi^2$ m}{T^2$} = 4.93\ \mathrm{N/m}$$

Question 9

A disk of mass $$2\ \mathrm{kg}$$ and radius $$0.5\ \mathrm{m}$$ rotates about its center with angular velocity $$\omega = 4\ \mathrm{rad/s}. $$What is its rotational kinetic energy?

Accepted Answer

$$8\ \mathrm{J}$$

Question 10

A $$10\ \mathrm{kg}$$ box is at rest on a frictionless incline of $$30^\circ. $$What is the magnitude of the normal force acting on the box? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$84.9\ \mathrm{N}$$

Question 11

A satellite orbits Earth in a circular orbit of radius $$R. If $$the radius is doubled, how does the gravitational force change?

Accepted Answer

It becomes one-fourth as large.

Question 12

A $$3\ \mathrm{kg}$$ object moves in a circle of radius $$2\ \mathrm{m} at a $$constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the required centripetal force?

Accepted Answer

$$24\ \mathrm{N}$$

Question 13

A $$0.2\ \mathrm{kg}$$ ball is attached to a string and swung in a horizontal circle of radius $$0.5\ \mathrm{m} at$$ $$2\ \mathrm{m/s}. $$What is its angular momentum about the center?

Accepted Answer

$$0.4\ \mathrm{kg\cdot m^2$/s}$$

Question 14

A $$1\ \mathrm{kg}$$ mass is attached to a spring with $$k = 100\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.63\ \mathrm{s}$$

Question 15

A $$2\ \mathrm{kg}$$ block slides down a rough incline and loses $$40\ \mathrm{J} of $$mechanical energy due to friction. If it started from rest at a height of $$5\ \mathrm{m}$$, what is its speed at the bottom? ($$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$6\ \mathrm{m/s}$$

Question 16

A uniform beam of length $$4\ \mathrm{m}$$ and mass $$20\ \mathrm{kg} is $$supported at its ends. A $$40\ \mathrm{kg}$$ person stands $$1\ \mathrm{m}$$ from the left end. What is the force on the left support?

Accepted Answer

$$180\ \mathrm{N}$$

Question 17

A $$0.5\ \mathrm{kg}$$ mass is attached to a string and swung in a vertical circle of radius $$1\ \mathrm{m}. $$What is the minimum speed at the top of the circle to keep the string taut? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.13\ \mathrm{m/s}$$

Question 18

A $$2\ \mathrm{kg}$$ object is attached to a $$0.5\ \mathrm{m}$$ long string and rotates in a horizontal circle at $$4\ \mathrm{m/s}. $$What is its angular velocity?

Accepted Answer

$$8\ \mathrm{rad/s}$$

Question 19

A $$1\ \mathrm{kg}$$ mass is attached to a spring and oscillates with amplitude $$0.1\ \mathrm{m}$$ and period $$2\ \mathrm{s}. $$What is its maximum speed?

Accepted Answer

$$0.314\ \mathrm{m/s}$$

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