Question 1

A sample of an ideal gas undergoes a process where the pressure increases from $$1.0 \ \mathrm{atm} to$$ $$2.0 \ \mathrm{atm}$$ while the temperature remains constant at $$300 \ \mathrm{K}. If $$the initial volume is $$2.0 \ \mathrm{L}$$, what is the final volume of the gas? (Use the ideal gas law: $$PV = nRT)$$

Accepted Answer

$$1.0 \ \mathrm{L}$$

Question 2

A person carries a $$10 \ \mathrm{kg}$$ backpack up a $$5 \ \mathrm{m}$$ high ramp, then walks down the other side to the starting elevation. What is the total work done by gravity on the backpack during the entire trip?

Accepted Answer

$$0 \ \mathrm{J}$$

Question 3

A teeter ball with charge $$q_1 = 2$$ \ \mu\mathrm{C}$$ is placed 0.1$$ \ \mathrm{m}$$ from another charge q_2$ = -2 \ \mu\mathrm{C}. $$What is the magnitude of the electrostatic force between them? (Use $$k = 8.99 	imes 10^9$ \ \mathrm{N \cdot m^2$/C^2$$}$)

Accepted Answer

$$3.6 \ \mathrm{N}$$

Question 4

A river has a diameter of $$4 \ \mathrm{m}$$ and water flows at $$2 \ \mathrm{m/s}. $$What is the cross-sectional area of the river? (Use $$A = \pi r^2$)

Accepted Answer

$$12.57 \ \mathrm{m}^2$$

Question 5

A $$5 \ \mathrm{kg}$$ object hangs vertically. Object B sits on a $$30^\circ$$ incline connected by a pulley. If the coefficient of static friction is $$0.2$$, what is the minimum mass of object B to keep the system at rest?

Accepted Answer

$$2.89 \ \mathrm{kg}$$

Question 6

An object is about to slide on a frictionless table connected over a pulley to a hanging mass. If the object on the table is $$3 \ \mathrm{kg}$$, what mass must hang to keep the system at rest?

Accepted Answer

$$0 \ \mathrm{kg}$$

Question 7

Given a force vs. displacement graph, what does the area under the curve represent?

Accepted Answer

The work done by the force

Question 8

A $$100 \ \mathrm{g}$$ piece of iron at $$300^\circ \mathrm{C} is $$dropped into $$200 \ \mathrm{g} of $$water at $$20^\circ \mathrm{C}. $$The specific heat of iron is $$0.45 \ \mathrm{J/g \cdot ^\circ C}$$ and water is $$4.18 \ \mathrm{J/g \cdot ^\circ C}. If $$the final temperature is $$100^\circ \mathrm{C}$$ and some water turns to steam (latent heat of vaporization $$= 2260 \ \mathrm{J/g}$$), how much water (in grams) turns to steam?

Accepted Answer

$$2.0 \ \mathrm{g}$$

Question 9

Two masses, $$m_1 = 2$$ \ \mathrm{kg}$$ and m_2$ = 3 \ \mathrm{kg}$$, are connected over a frictionless pulley. If $$m_2 is $$hanging and the system starts from rest, how long does it take for $$m_2 to $$descend $$2 \ \mathrm{m}$$? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$1.43 \ \mathrm{s}$$

Question 10

On a planet where $$g = 3.7 \ \mathrm{m/s^2$}$$, an object is thrown straight up with an initial velocity of $$10 \ \mathrm{m/s}. $$What is the maximum height reached? (Use $$v^2$$ = $$v_0^2 - 2g h$)

Accepted Answer

$$13.5 \ \mathrm{m}$$

Question 11

A mass on a spring oscillates with period $$T. If $$the spring constant $$k is $$doubled and the mass is doubled, what happens to the period?

Accepted Answer

The period remains the same

Question 12

A block attached to a spring oscillates with maximum displacement $$A = 0.2 \ \mathrm{m}$$ and angular frequency $$\omega = 4 \ \mathrm{rad/s}. $$What is the position at $$t = 0.5 \ \mathrm{s} if it $$starts from maximum displacement? (Use $$x = A \cos(\omega t))$$

Accepted Answer

$$0.028 \ \mathrm{m}$$

Question 13

A crane lifts a $$500 \ \mathrm{kg}$$ object at constant velocity. What is the work done by the crane after lifting the object $$10 \ \mathrm{m}$$?

Accepted Answer

$$49,000 \ \mathrm{J}$$

Question 14

A wrench $$0.3 \ \mathrm{m}$$ long is used to loosen a bolt. If the minimum torque required is $$15 \ \mathrm{N \cdot m}$$, what is the minimum force needed at the end of the wrench? (Use $$	au = rF)$$

Accepted Answer

$$50 \ \mathrm{N}$$

Question 15

A container holds two immiscible liquids. The height of the unknown liquid is $$0.5 \ \mathrm{m}$$ and the known liquid (density $$= 800 \ \mathrm{kg/m^3$}) is$$ $$0.3 \ \mathrm{m}$$ high. If the pressure at the bottom is $$12,000 \ \mathrm{Pa}$$, what is the density of the unknown liquid? (Use $$P = \rho g h)$$

Accepted Answer

$$1,632 \ \mathrm{kg/m^3$}$$

Question 16

A cyclist pedals with a torque of $$10 \ \mathrm{N \cdot m}$$ and the wheel has a moment of inertia $$I = 0.5 \ \mathrm{kg \cdot m^2$}. $$What is the angular acceleration of the wheel? (Use $$	au = I \alpha)$$

Accepted Answer

$$20 \ \mathrm{$$rad/s^2$$}$$

Comprehensive Physics Study Guide: Key Concepts and Problem Types

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