Q: A $$5\ \mathrm{kg}$$ mass is lifted vertically $$2\ \mathrm{m}. $$How much work is done against gravity? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

$$5 \times 9.8 \times 2 = 98\ \mathrm{J}$$

Q: A $$1000\ \mathrm{kg}$$ car is parked on a hill inclined at $$30^\circ. $$What is the component of the car's weight parallel to the hill?

$$4900 \times \sin 30^\circ = 2450\ \mathrm{N}$$

Question 1

A car accelerates from rest at a constant rate of $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the final velocity of the car?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 2

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$20\ \mathrm{m/s}. $$What is the maximum height reached by the projectile? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$10.2\ \mathrm{m}$$

Question 3

A $$3\ \mathrm{kg}$$ object is acted upon by a net force of $$12\ \mathrm{N}. $$What is its acceleration?

Accepted Answer

$$4\ \mathrm{m/s^2$}$$

Question 4

A satellite orbits the Earth in a circular path. Which of the following best describes the direction of the net force acting on the satellite?

Accepted Answer

Toward the center of the Earth

Question 5

A $$5\ \mathrm{kg}$$ mass is lifted vertically $$2\ \mathrm{m}. $$How much work is done against gravity? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$5 	imes 9.8 	imes 2 = 98\ \mathrm{J}$$

Question 6

A $$0.2\ \mathrm{kg}$$ ball moving at $$5\ \mathrm{m/s}$$ strikes a wall and rebounds at $$-3\ \mathrm{m/s}. $$What is the change in momentum?

Accepted Answer

$$1.6\ \mathrm{kg\cdot m/s}$$

Question 7

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

Accepted Answer

$$8\ \mathrm{N}$$

Question 8

A $$1\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5\ \mathrm{m}. $$What is its speed at the bottom? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 9

A $$0.5\ \mathrm{kg}$$ ball is thrown horizontally from a $$20\ \mathrm{m}$$ high cliff. How long does it take to hit the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 10

A $$10\ \mathrm{kg}$$ object is moving at $$2\ \mathrm{m/s}$$ and collides with a stationary $$5\ \mathrm{kg}$$ object. If they stick together, what is their final velocity?

Accepted Answer

$$1.33\ \mathrm{m/s}$$

Question 11

A solid disk of mass $$2\ \mathrm{kg}$$ and radius $$0.5\ \mathrm{m}$$ rotates at $$10\ \mathrm{rad/s}. $$What is its rotational kinetic energy?

Accepted Answer

$$25\ \mathrm{J}$$

Question 12

A $$1000\ \mathrm{kg}$$ car is parked on a hill inclined at $$30^\circ. $$What is the component of the car's weight parallel to the hill?

Accepted Answer

$$4900 	imes \sin 30^\circ = 2450\ \mathrm{N}$$

Question 13

A hydraulic lift has a small piston of area $$0.01\ \mathrm{m^2$}$$ and a large piston of area $$0.1\ \mathrm{m^2$}. If a $$force of $$100\ \mathrm{N} is $$applied to the small piston, what is the force exerted by the large piston?

Accepted Answer

$$1000\ \mathrm{N}$$

Question 14

A string fixed at both ends vibrates in its fundamental mode. If the length of the string is $$2\ \mathrm{m}$$ and the speed of the wave is $$100\ \mathrm{m/s}$$, what is the frequency of the fundamental?

Accepted Answer

$$50\ \mathrm{Hz}$$

Question 15

A sound wave travels through air at $$340\ \mathrm{m/s}. If $$its wavelength is $$0.85\ \mathrm{m}$$, what is its frequency?

Accepted Answer

$$400\ \mathrm{Hz}$$

Question 16

A $$0.1\ \mathrm{kg}$$ sample of water is heated from $$20^\circ\mathrm{C} to$$ $$80^\circ\mathrm{C}. If $$the specific heat of water is $$4186\ \mathrm{J/kg\cdot K}$$, how much heat is required?

Accepted Answer

$$25,116\ \mathrm{J}$$

Question 17

A gas in a cylinder undergoes an isothermal expansion at $$300\ \mathrm{K}. If $$the initial volume is $$1\ \mathrm{L}$$ and the final volume is $$3\ \mathrm{L}$$, what is the change in entropy for $$0.1\ \mathrm{mol} of $$the gas? ($$R = 8.314\ \mathrm{J/mol\cdot K})$$

Accepted Answer

$$1.82\ \mathrm{J/K}$$

Question 18

A refrigerator removes $$500\ \mathrm{J} of $$heat from its interior and expels $$800\ \mathrm{J} to $$the kitchen. What is the work input required?

Accepted Answer

$$300\ \mathrm{J}$$

Question 19

A $$0.2\ \mathrm{kg}$$ mass attached to a spring oscillates with a period of $$0.9\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$9.7\ \mathrm{N/m}$$

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