Question 1

A car accelerates uniformly from rest to a speed of $$20\ \mathrm{m/s} in$$ $$10\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 2

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$40\ \mathrm{m/s}. $$What is the maximum height it reaches? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$20.4\ \mathrm{m}$$

Question 3

Which of the following best describes Newton's Third Law of Motion?

Accepted Answer

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

Question 4

A $$5\ \mathrm{kg}$$ block is pulled across a horizontal surface with a constant force of $$30\ \mathrm{N}. If $$the coefficient of kinetic friction is $$0.2$$, what is the acceleration of the block? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.2\ \mathrm{m/s^2$}$$

Question 5

A $$2\ \mathrm{kg}$$ mass is attached to a spring with a spring constant $$k = 50\ \mathrm{N/m}. $$What is the period of oscillation for this mass-spring system?

Accepted Answer

$$1.26\ \mathrm{s}$$

Question 6

A $$1.5\ \mathrm{kg}$$ object moving at $$4.0\ \mathrm{m/s}$$ collides elastically with a stationary $$2.5\ \mathrm{kg}$$ object. What is the velocity of the $$1.5\ \mathrm{kg}$$ object after the collision?

Accepted Answer

$$-1.0\ \mathrm{m/s}$$

Question 7

A satellite orbits Earth in a circular orbit of radius $$7.0 	imes 10^6$\ \mathrm{m}. $$What is its orbital speed? (Take $$G = 6.67 	imes 10$$^{-11}$$\ \mathrm{N\,m^2$/kg^2$$}$$, M$$_{\mathrm{Earth}} = 5.97 	imes $$10^{24}$$\ \mathrm{kg}$)

Accepted Answer

$$7.5\ \mathrm{km/s}$$

Question 8

A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$10\ \mathrm{m}. $$What is its speed just before hitting the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$9.9\ \mathrm{m/s}$$

Question 9

A $$3.0\ \mathrm{kg}$$ object is moving in a circle of radius $$2.0\ \mathrm{m} at a $$constant speed of $$6.0\ \mathrm{m/s}. $$What is the magnitude of the centripetal force acting on the object?

Accepted Answer

$$54\ \mathrm{N}$$

Question 10

A $$0.2\ \mathrm{kg}$$ block is attached to a string and swung in a horizontal circle of radius $$0.5\ \mathrm{m} at a $$speed of $$2.0\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$1.6\ \mathrm{N}$$

Question 11

A $$10\ \mathrm{kg}$$ box is at rest on a horizontal surface. The coefficient of static friction between the box and the surface is $$0.4. $$What is the minimum horizontal force required to start moving the box? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$39.2\ \mathrm{N}$$

Question 12

A $$0.1\ \mathrm{kg}$$ ice cube at $$0^\circ\mathrm{C} is $$placed in $$100\ \mathrm{g} of $$water at $$30^\circ\mathrm{C}. $$What is the final temperature after the ice melts? (Assume no heat loss, $$c_{\mathrm{water}} = 4186\ \mathrm{J/kg\,K}$$, $$L_f = 334,000\ \mathrm{J/kg})$$

Accepted Answer

$$0^\circ\mathrm{C}$$

Question 13

A $$2.0\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5.0\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$9.9\ \mathrm{m/s}$$

Question 14

A $$0.5\ \mathrm{kg}$$ mass attached to a string is swung in a vertical circle of radius $$1.0\ \mathrm{m}. $$What is the minimum speed at the top of the circle to keep the string taut? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 15

A $$1.0\ \mathrm{kg}$$ object at $$20^\circ\mathrm{C}$$ absorbs $$4186\ \mathrm{J} of $$heat. What is its final temperature? (Assume $$c = 4186\ \mathrm{J/kg\,K})$$

Accepted Answer

$$21^\circ\mathrm{C}$$

Question 16

A $$0.3\ \mathrm{kg}$$ mass attached to a spring oscillates with an amplitude of $$0.1\ \mathrm{m}$$ and a period of $$0.5\ \mathrm{s}. $$What is its maximum speed?

Accepted Answer

$$1.26\ \mathrm{m/s}$$

Question 17

A $$0.5\ \mathrm{kg}$$ object is moving at $$2.0\ \mathrm{m/s}. $$What is its kinetic energy?

Accepted Answer

$$2.0\ \mathrm{J}$$

Question 18

A $$1.0\ \mathrm{kg}$$ block is pushed against a spring (spring constant $$k = 200\ \mathrm{N/m}) $$compressing it by $$0.1\ \mathrm{m}. $$What is the potential energy stored in the spring?

Accepted Answer

$$2.0\ \mathrm{J}$$

Question 19

A $$0.2\ \mathrm{kg}$$ object is dropped into $$0.5\ \mathrm{kg} of $$water at $$20^\circ\mathrm{C}. If $$the object cools from $$100^\circ\mathrm{C} to$$ $$20^\circ\mathrm{C}$$, how much heat is transferred to the water? (Assume $$c = 4186\ \mathrm{J/kg\,K}$$ for water, $$c = 900\ \mathrm{J/kg\,K}$$ for the object)

Accepted Answer

$$14,400\ \mathrm{J}$$

Question 20

A $$0.5\ \mathrm{kg}$$ mass is attached to a string and whirled in a horizontal circle of radius $$1.5\ \mathrm{m} at a $$speed of $$3.0\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$3.0\ \mathrm{N}$$

University Physics I: Syllabus and Study Guide (Fall 2025)

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