Cracking The AP Physics 1 Exam

Princeton Review

Chapter 1

Practice Test 1

Educators

Chapter Questions

Linear Momentum SECTION I - Problem 1

An object of mass 2 kg has a linear momentum of magnitude 6 kg ·
m/s. What is this object’s kinetic energy?
(A) 3 J
(B) 6 J
(C) 9 J
(D) 12 J

Ze-Han Lee

Ze-Han Lee

Numerade Educator

Vectors - Problem 2

If $\mathbf{F}_{1}=-20 \hat{\mathbf{y}}, \mathbf{F}_{2}=-10 \hat{\mathbf{i}},$ and $\mathbf{F}_{3}=5 \hat{\mathbf{i}}+10 \hat{\mathbf{j}},$ what is the sum $\mathbf{F}_{1}+\mathbf{F}_{2}+\mathbf{F}_{3}$
(A) $-15 \hat{\mathbf{i}}+10 \hat{\mathbf{j}}$
(B) $-5 \hat{\mathbf{i}}-10 \hat{\mathbf{j}}$
(C) 5$\hat{\mathbf{i}}$
(D) $5 \hat{\mathbf{i}}-10 \hat{\mathbf{j}}$

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Vectors - Problem 3

Both the x- and y-components of a vector are doubled. Which of the
following describes what happens to the resulting vector?
(A) Magnitude increases by $\sqrt{2}$
(B) Magnitude increases by $\sqrt{2},$ and the direction changes
(C) Magnitude increases by 2
(D) Magnitude increases by $2,$ and the direction changes

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Numerade Educator

Vectors - Problem 6

If the vector $\mathbf{A}=\hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}$ and the vector $\mathbf{B}=4 \hat{\mathbf{i}}-5 \hat{\mathbf{j}},$ what angle does $\mathbf{A}$ $+\mathbf{B}$ form with the $x$ -axis?
(A) $\theta=\tan ^{-1} \frac{3}{5}$
(B) $\theta=\tan ^{-1} \frac{7}{5}$
(C) $\theta=\sin ^{-1} \frac{3}{5}$
(D) $\theta=\sin ^{-1} \frac{5}{7}$

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(c) What is the average density of this planet? - Problem 1

A robot probe lands on a new, uncharted planet. It has determined the diameter of the planet to be $8 \times 10^{6} \mathrm{m}$ . It weighs a standard 1 $\mathrm{kg}$ mass and determines that 1 $\mathrm{kg}$ weighs only 5 newtons on this new planet.
(a) What must the mass of the planet be?
(b) What is the acceleration due to gravity on this planet? Express your $\left.\text { answer in both } \mathrm{m} / \mathrm{s}^{2} \text { and } \mathrm{g}^{\prime} \text { 's (where } 1 \mathrm{g}=10 \mathrm{m} / \mathrm{s}^{2}\right) .$
(c) What is the average density of this planet?

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Direct Current Circuits Section 1 - Problem 1

For an ohmic conductor, doubling the voltage without changing the resistance will cause the current to
(A) decrease by a factor of 4
(B) decrease by a factor of 2
(C) increase by a factor of 2
(D) increase by a factor of 4

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Numerade Educator

Direct Current Circuits Section 1 - Problem 2

If a 60-watt light bulb operates at a voltage of 120 V, what is the resistance of the bulb?
(A) 2$\Omega$
(B) 30$\Omega$
(C) 240$\Omega$
(D) 720$\Omega$

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Direct Current Circuits Section 1 - Problem 3

A battery whose emf is 40 $\mathrm{V}$ has an internal resistance of $5 \Omega .$ If this battery is connected to a 15$\Omega$ resistor $R,$ what will the voltage drop across $R$ be?
(A) 10 $\mathrm{V}$
(B) 30 $\mathrm{V}$
(C) 40 $\mathrm{V}$
(D) 50 $\mathrm{V}$

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 4

(GRAPH CANNOT COPY)
Determine the equivalent resistance between points $a$ and $b .$
(A) 0.25$\Omega$
(B) 0.333$\Omega$
(C) 1.5$\Omega$
(D) 2$\Omega$

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 5

(GRAPH CANNOT COPY)
Three identical light bulbs are connected to a source of emf, as shown in the diagram above. What will happen if the middle bulb burns out?
(A) The light intensity of the other two bulbs will decrease (but they won’t go out).
(B) The light intensity of the other two bulbs will increase.
(C) The light intensity of the other two bulbs will remain the same.
(D) More current will be drawn from the source of emf.

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 6

(GRAPH CANNOT COPY)
What is the voltage drop across the 12$\Omega$ resistor in the portion of the circuit shown above?
(A) 24 $\mathrm{V}$
(B) 36 $\mathrm{V}$
(C) 48 $\mathrm{V}$
(D) 72 $\mathrm{V}$

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 7

(GRAPH CANNOT COPY)
What is the current through the 8$\Omega$ resistor in the circuit shown above?
(A) 0.5 $\mathrm{A}$
(B) 1.0 $\mathrm{A}$
(C) 1.5 $\mathrm{A}$
(D) 3.0 $\mathrm{A}$

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 8

How much energy is dissipated as heat in 20 $\mathrm{s}$ by a 100$\Omega$ resistor that carries a current of 0.5 $\mathrm{A} ?$
(A) 50 $\mathrm{J}$
(B) 100 $\mathrm{J}$
(C) 250 $\mathrm{J}$
(D) 500 $\mathrm{J}$

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 1 - Problem 9

Three light bulbs are initially connected in series to a battery. If a fourth light bulb is then added and is also in series with the other three light bulbs, what happens to the current delivered by the battery?
(A) The current increases.
(B) The current remains the same.
(C) The current decreases.
(D) The current increases and then decreases.

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 2 - Problem 1

Consider the following circuit:
(GRAPH CANNOT COPY)
(a) At what rate does the battery deliver energy to the circuit?
(b) Find the current through the 40 $\Omega$ resistor.
(c) (i) Determine the potential difference between points $a$ and $b$ .
(ii) At which of these two points is the potential higher?
(d) Find the energy dissipated by the 100$\Omega$ resistor in 10 s.

Ze-Han Lee

Numerade Educator

Direct Current Circuits Section 2 - Problem 2

Consider the following circuit:
(GRAPH CANNOT COPY)
(a) What is the current through each resistor?
(b) What is the potential difference across each resistor?
(c) What is the equivalent resistance of the circuit?

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 1

If the distance between two positive point charges is tripled, then the
strength of the electrostatic repulsion between them will decrease by
a factor of
(A) 3
(B) 6
(C) 8
(D) 9

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 2

Two 1 kg spheres each carry a charge of magnitude $1 \mathrm{C} .$ How does $F_{\mathrm{E}}$ , the strength of the electric force between the spheres, compare to $F_{\mathrm{G}}$ , the strength of their gravitational attraction?
(A) $F_{\mathrm{E}} < F_{\mathrm{G}}$
(B) $F_{\mathrm{E}}=F_{\mathrm{G}}$
(C) $F_{\mathrm{E}} > F_{\mathrm{G}}$
(D) If the charges on the spheres are of the same sign, then $F_{\mathrm{E}} > F_{\mathrm{G}}$ ; but if the charges on the spheres are of the opposite sign, then $F_{\mathrm{E}} < F_{\mathrm{G}}$ .

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 3

The figure below shows three point charges, all positive. If the net
electric force on the center charge is zero, what is the value of y/x ?
(A) $\frac{4}{9}$
(B) $\sqrt{\frac{2}{3}}$
(C) $\sqrt{\frac{3}{2}}$
(D) $\frac{3}{2}$

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 4

The figure above shows two point charges, +Q and –Q. If the negative
charge were absent, the electric field at Point P due to +Q would have
strength E. With –Q in place, what is the strength of the total electric
field at P, which lies at the midpoint of the line segment joining the
charges?
(A) 0
(B) $\frac{E}{2}$
(C) $E$
(D) 2$E$

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 5

A sphere of charge +Q is fixed in position. A smaller sphere of charge +q is placed near the larger sphere and released from rest. The small sphere will move away from the large sphere with
(A) decreasing velocity and decreasing acceleration
(B) decreasing velocity and increasing acceleration
(C) increasing velocity and decreasing acceleration
(D) increasing velocity and increasing acceleration

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 6

An object of charge $+q$ feels an electric force $\mathbf{F}_{\mathrm{E}}$ when placed at a particular location in an electric field, $\mathbf{E}$ . Therefore, if an object of charge $-2 q$ were placed at the same location where the first charge was, it would feel an electric force of
(A) $\frac{-F_{E}}{2}$
(B) $-2 F_{E}$
(C) $-2 q \mathbf{F}_{\mathrm{E}}$
(D) $\frac{-2 F_{\mathrm{E}}}{q}$

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 7

A charge of –3Q is transferred to a solid metal sphere of radius r.
Where will this excess charge reside?
(A) –Q at the center, and –2Q on the outer surface
(B) –3Q at the center
(C) –3Q on the outer surface
(D) $-Q$ at the center, $-Q$ in a ring of radius $\frac{1}{2} r,$ and $-Q$ on the outer surface

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 8

How far apart are two charges $\left(q_{1}=8 \times 10^{-6} \mathrm{C} \text { and } q_{2}=6 \times 10^{-6} \mu \mathrm{C}\right)$ if the electric force exerted by the charges on each other has a magnitude of $2.7 \times 10^{-2} \mathrm{N} ?$
(A) 1 $\mathrm{m}$
(B) 2 $\mathrm{m}$
(C) 3 $\mathrm{m}$
(D) 4 $\mathrm{m}$

Ze-Han Lee

Numerade Educator

Electric Forces and Fields Section I - Problem 9

Two charges $\left(q_{1} \text { and } q_{2}\right)$ are separated by a distance $r .$ If the ratio of $F_{G} / F_{E}$ is equal to $9.0 \times 10^{43},$ what is the new ratio if the distance between the two charges is now $3^{r} ?$
(A) $1.0 \times 10^{43}$
(B) $3.0 \times 10^{43}$
(C) $9.0 \times 10^{43}$
(D) $27.0 \times 10^{43}$

Ze-Han Lee

Numerade Educator

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