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 $$	heta$$ above the horizontal with initial speed $$v_0. $$Neglecting air resistance, what is the time of flight until it returns to the same vertical level?

Accepted Answer

$$\dfrac{2v_0 \sin	heta}{g}$$

Question 3

A $$5\ \mathrm{kg}$$ block is pulled across a horizontal surface with a force of $$30\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the net force acting on the block?

Accepted Answer

$$13.5\ \mathrm{N}$$

Question 4

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 5

A $$2\ \mathrm{kg}$$ object moves in a circle of radius $$0.5\ \mathrm{m} at a $$constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the centripetal force acting on the object?

Accepted Answer

$$32\ \mathrm{N}$$

Question 6

A $$0.2\ \mathrm{kg}$$ 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

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

Question 7

A $$0.5\ \mathrm{kg}$$ ball moving at $$6\ \mathrm{m/s}$$ collides elastically with a stationary $$0.5\ \mathrm{kg}$$ ball. What is the velocity of the first ball after the collision?

Accepted Answer

$$0\ \mathrm{m/s}$$

Question 8

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

Accepted Answer

$$32\ \mathrm{N/m}$$

Question 9

A $$1.0\ \mathrm{kg}$$ object is rotating in a circle of radius $$2.0\ \mathrm{m}$$ with an angular velocity of $$3.0\ \mathrm{rad/s}. $$What is its angular momentum?

Accepted Answer

$$6.0\ \mathrm{kg\cdot m^2$/s}$$

Question 10

A $$0.1\ \mathrm{kg}$$ mass is attached to a string and swung in a horizontal circle of radius $$0.5\ \mathrm{m} at a $$speed of $$2\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$0.8\ \mathrm{N}$$

Question 11

A $$5\ \mathrm{kg}$$ block is lifted vertically at constant speed through a height of $$3\ \mathrm{m}. $$How much work is done by the lifting force?

Accepted Answer

$$150\ \mathrm{J}$$

Question 12

A $$0.5\ \mathrm{kg}$$ mass oscillates on a spring with amplitude $$0.2\ \mathrm{m}$$ and angular frequency $$4\ \mathrm{rad/s}. $$What is its maximum speed?

Accepted Answer

$$0.8\ \mathrm{m/s}$$

Question 13

A $$2\ \mathrm{kg}$$ block is attached to a horizontal spring with $$k = 50\ \mathrm{N/m}. If $$the block is pulled $$0.1\ \mathrm{m}$$ from equilibrium and released, what is the total mechanical energy of the system?

Accepted Answer

$$0.5\ \mathrm{J}$$

Question 14

A $$0.3\ \mathrm{kg}$$ object floats in water with $$0.25\ \mathrm{kg} of $$water displaced. What is the buoyant force acting on the object? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.94\ \mathrm{N}$$

Question 15

A $$1.0\ \mathrm{kg}$$ block at $$20^\circ\mathrm{C}$$ absorbs $$4200\ \mathrm{J} of $$heat. If the specific heat of the block is $$420\ \mathrm{J/(kg\cdot K)}$$, what is its final temperature?

Accepted Answer

$$50^\circ\mathrm{C}$$

Question 16

A Carnot engine operates between $$T_H = 500\ \mathrm{K}$$ and $$T_C = 300\ \mathrm{K}. $$What is its maximum possible efficiency?

Accepted Answer

$$0.40$$

Question 17

A $$0.5\ \mathrm{kg}$$ mass is attached to a string and whirled 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? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 18

A $$0.2\ \mathrm{kg}$$ mass is attached to a spring and oscillates with a frequency of $$2\ \mathrm{Hz}. $$What is the angular frequency of the motion?

Accepted Answer

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

Question 19

A $$0.1\ \mathrm{kg}$$ object is moving at $$10\ \mathrm{m/s}$$ and collides inelastically with a $$0.2\ \mathrm{kg}$$ object at rest. What is the final velocity of the combined mass?

Accepted Answer

$$3.33\ \mathrm{m/s}$$

Question 20

A $$1.0\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5.0\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

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

Physics I Syllabus and Topic Overview – Western Texas College

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