Question 1

A car accelerates uniformly from rest to a speed of $$20\ \mathrm{m/s} in$$ $$10\ \mathrm{s}. $$What is the total distance traveled by the car during this time?

Accepted Answer

$$100\ \mathrm{m}$$

Question 2

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 3

A $$5\ \mathrm{kg}$$ block is pulled across a horizontal surface with a constant force of $$25\ \mathrm{N}. If $$the coefficient of kinetic friction is $$0.3$$, what is the acceleration of the block? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.02\ \mathrm{m/s^2$}$$

Question 4

A ladder leans against a frictionless wall, making an angle $$	heta$$ with the ground. Which force prevents the ladder from slipping at the base?

Accepted Answer

The friction force from the ground

Question 5

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

Accepted Answer

$$14\ \mathrm{m/s}$$

Question 6

Which of the following is NOT a simple machine?

Accepted Answer

Spring

Question 7

A $$0.2\ \mathrm{kg}$$ ball is moving at $$5\ \mathrm{m/s}$$ and collides elastically with a stationary $$0.3\ \mathrm{kg}$$ ball. What is the total momentum of the system before the collision?

Accepted Answer

$$1.0\ \mathrm{kg\cdot m/s}$$

Question 8

A $$10\ \mathrm{kg}$$ mass is attached to a $$2\ \mathrm{m}$$ long string and swung in a horizontal circle at a constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the tension in the string?

Accepted Answer

$$120\ \mathrm{N}$$

Question 9

Which of the following statements about work is correct?

Accepted Answer

Work is the product of force and displacement in the direction of the force.

Question 10

A $$3\ \mathrm{kg}$$ object moving at $$6\ \mathrm{m/s}$$ collides inelastically with a $$2\ \mathrm{kg}$$ object at rest. What is the final velocity of the combined mass after the collision?

Accepted Answer

$$3.6\ \mathrm{m/s}$$

Question 11

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 right support?

Accepted Answer

$$300\ \mathrm{N}$$

Question 12

Which of the following best describes the conservation of energy principle?

Accepted Answer

The total energy of an isolated system remains constant.

Question 13

A $$0.5\ \mathrm{kg}$$ mass is attached to a string and swung in a vertical circle of radius $$1.5\ \mathrm{m}. $$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

$$2.7\ \mathrm{m/s}$$

Question 14

A disk of mass $$2\ \mathrm{kg}$$ and radius $$0.5\ \mathrm{m}$$ rotates about its center with an angular velocity of $$10\ \mathrm{rad/s}. $$What is its rotational kinetic energy?

Accepted Answer

$$12.5\ \mathrm{J}$$

Question 15

A figure skater pulls in her arms and her moment of inertia decreases by half. If her initial angular velocity is $$2\ \mathrm{rad/s}$$, what is her final angular velocity?

Accepted Answer

$$4\ \mathrm{rad/s}$$

Question 16

A $$10\ \mathrm{kg}$$ box is lifted vertically $$2\ \mathrm{m} at $$constant speed. What is the work done by the lifting force?

Accepted Answer

$$196\ \mathrm{J}$$

Question 17

A $$0.1\ \mathrm{kg}$$ bullet is fired at $$500\ \mathrm{m/s}$$ into a $$2\ \mathrm{kg}$$ wooden block at rest. The bullet embeds in the block. What is the final velocity of the block-bullet system?

Accepted Answer

$$23.8\ \mathrm{m/s}$$

Question 18

A $$2\ \mathrm{kg}$$ mass is attached to a spring with spring constant $$k = 200\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.63\ \mathrm{s}$$

Physics I Syllabus: Mechanics, Motion, and Energy

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