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AP Physics C: Mechanics Unit 2: Newton's Laws of Motion

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Unit 2: Newton's Laws of Motion

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Question 1

A particle of mass $m$ on a frictionless horizontal surface is attached to a spring (constant $k$ ) and experiences a drag force $F_{d} = - b v$ . Which differential equation governs its motion?

m \overset{x}{¨} + k x = 0

m \overset{x}{¨} - b \overset{x}{˙} + k x = 0

m \overset{x}{¨} + b \overset{x}{˙} + k x = 0

m \overset{x}{¨} + b \overset{x}{˙} - k x = 0

Question 2

A 2 kg block hangs from a rope attached to the ceiling. What is the tension in the rope? ( $g = 10$ m/s²)

10

NB.

20

NC.

2

ND.

0

Question 3

A block of mass $m$ on a surface with kinetic friction coefficient $μ_{k}$ is pushed by a horizontal force $F$ . What is the net acceleration?

\frac{F}{m}

\frac{F - μ _{k} m g}{m}

\frac{F}{m} - μ_{k} g^{2}

\frac{F + μ _{k} m g}{m}

Question 4

A particle of mass $m$ falls under gravity through a medium with quadratic drag $F_{d r a g} = - c v^{2}$ . What is the terminal velocity $v_{T}$ ?

\frac{m g}{c}

\frac{m g}{c}

\frac{c}{m g}

\frac{c}{m g}

Question 5

A rocket of initial mass $M_{0}$ expels exhaust at speed $u$ relative to the rocket. Applying Newton's second law to variable mass, what is the thrust force?

F_{t h r u s t} = u \frac{d M}{d t}

(positive)B.

F_{t h r u s t} = - u \frac{d M}{d t}

F_{t h r u s t} = u M_{0}

F_{t h r u s t} = \frac{u}{d M / d t}

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Question 6

A particle of mass $m$ experiences a velocity-dependent drag force $F_{d r a g} = - b v$ , where $b > 0$ . Starting from rest, which expression gives $v (t)$ ?

v (t) = \frac{m g}{b} (1 - e^{- b t / m})

v (t) = \frac{m g}{b} e^{- b t / m}

v (t) = \frac{m g}{b} (1 + e^{- b t / m})

v (t) = \frac{m g}{b} (e^{b t / m} - 1)

Question 7

A block of mass $m$ sits on a plane inclined at angle $θ$ (frictionless). Which expression gives the acceleration along the incline?

g cos θ

g sin θ

g tan θ

g

Question 8

A 5 kg block is pushed across a frictionless surface by a net force $F = 15$ N. What is the acceleration?

2

m/s²B.

3

m/s²C.

5

m/s²D.

75

m/s²

Question 9

An Atwood machine has masses $m_{1} = 4$ kg and $m_{2} = 6$ kg connected by a massless rope over a frictionless pulley. What is the acceleration of the system? ( $g = 10$ m/s²)

1

m/s²B.

2

m/s²C.

5

m/s²D.

4

m/s²

Question 10

A block of mass $m$ is pushed against a vertical wall by a horizontal force $F$ (with $F > μ_{s} m g$ ). What is the minimum $F$ needed to prevent sliding?

F_{min} = m g

F_{min} = μ_{s} m g

F_{min} = \frac{m g}{μ _{s}}

F_{min} = \frac{μ _{s}}{m g}

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Question 11

Two blocks, $m_{1} = 3$ kg and $m_{2} = 5$ kg, are connected by a massless rope and pulled across a frictionless surface by a force $F = 16$ N applied to $m_{2}$ . What is the tension in the rope between them?

6

NB.

10

NC.

2

m/s² (wrong unit)D.

16

Question 12

A car rounds a banked curve of radius $R$ at angle $θ$ (no friction). What is the speed $v$ at which no friction is needed?

R g sin θ

R g cos θ

R g tan θ

R g tan θ

AP Physics C: Mechanics Unit 2: Newton's Laws of Motion — Free with Answer Explanations | Test Practice Hub