Question 1

A ball of mass $$m is $$dropped from a height $$h$$ above the ground. Neglecting air resistance, what is the velocity of the ball just before it hits the ground? (Use conservation of energy.)

Accepted Answer

$$v = \sqrt{2gh}$$

Question 2

Which of the following statements about conservative forces is TRUE?

Accepted Answer

Work done by a conservative force depends only on the initial and final positions.

Question 3

A block slides down a frictionless incline of height $$h. $$What is the change in its potential energy?

Accepted Answer

$$\Delta U = -mgh$$

Question 4

A 2 kg object moves at 3 m/s. What is its kinetic energy?

Accepted Answer

$$K = 6 J$$

Question 5

A 5 kg object is lifted vertically by 2 m. How much work is done against gravity?

Accepted Answer

$$W = 98 J$

Question 6

Which equation correctly expresses the conservation of mechanical energy for a system with only conservative forces?

Accepted Answer

$$K_i + U_i = K_f + U_f$$

Question 7

A ball is thrown upward with initial speed $$v_0. At $$its highest point, what is its kinetic energy?

Accepted Answer

$$K = 0$$

Question 8

A 1.5 kg block slides across a rough surface and comes to rest after traveling 4 m. If the friction force is 3 N, how much work is done by friction?

Accepted Answer

$$W = -12 J$$

Question 9

Which of the following is the correct formula for pressure in terms of force and area?

Accepted Answer

$$P = \frac{F}{A}$$

Question 10

A cube of side 0.1 m is submerged in water. What is the volume of the cube?

Accepted Answer

$$V = 0.001 m$^3$$

Question 11

According to Archimedes' Principle, the buoyant force on a submerged object is equal to:

Accepted Answer

The weight of the fluid displaced

Question 12

A pressure gauge reads 50 kPa. If atmospheric pressure is 101 kPa, what is the absolute pressure?

Accepted Answer

$$P_{abs} = 151$$ kPa

Question 13

A 0.5 kg ball moving at 4 m/s collides elastically with a stationary 0.5 kg ball. What is the velocity of the first ball after the collision?

Accepted Answer

$$v = 0 m/s$

Question 14

Which of the following is the correct formula for density?

Accepted Answer

$$\rho = \frac{m}{V}$$

Question 15

A force $$F is $$applied at an angle $$	heta to $$the direction of displacement $$d. $$What is the work done?

Accepted Answer

$$W = Fd \cos 	heta$$

Question 16

A 3 kg object is moving in a circle of radius 2 m at a speed of 4 m/s. What is its kinetic energy?

Accepted Answer

$$K = 24 J$

Question 17

Which of the following is NOT a property of conservative forces?

Accepted Answer

They always dissipate energy as heat.

Question 18

A 2 m$$^3$$ block of wood floats in water. If the density of water is $$1000 kg/m$^3$$ and the density of wood is $$600 kg/m$^3$$, what is the volume of wood submerged?

Accepted Answer

$$V_{sub} = 1.2 m$^3$$

Question 19

A piston compresses a gas in a cylinder, doing 500 J of work on the gas. If no heat is exchanged, what is the change in the internal energy of the gas?

Accepted Answer

$$\Delta U = 500 J$

Work, Energy, Momentum, and Fluid Mechanics: Structured Study Notes

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