Q: A 5 kg box is at rest on a horizontal surface. The coefficient of static friction between the box and the surface is $\mu_s = 0.4$. What is the maximum force that can be applied horizontally before the box starts to move?

$F_{\text{max}} = \mu_s m g = 0.4 \times 5 \times 9.8 = 19.6\ \mathrm{N}$

Q: A student drops a ball from a height of 20 m. Ignoring air resistance, how long does it take to reach the ground?

$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 20}{9.8}} \approx 2.02\ \mathrm{s}$

Q: A 3 kg object moving at $4\ \mathrm{m/s}$ collides inelastically with a 2 kg object at rest. What is their final velocity?

$v_f = \frac{m_1 v_1}{m_1 + m_2} = \frac{3 \times 4}{3 + 2} = 2.4\ \mathrm{m/s}$

Question 1

A car travels 60 km east, then 80 km north. What is the magnitude of its displacement from the starting point?

Accepted Answer

$\sqrt{60^2 + 80^2} = 100\ \mathrm{km}$

Question 2

Which of the following quantities is a scalar?

Accepted Answer

Distance

Question 3

A ball is thrown straight up with an initial velocity of $v_0$. Neglecting air resistance, what is its velocity at the highest point?

Accepted Answer

$0$

Question 4

A 5 kg box is at rest on a horizontal surface. The coefficient of static friction between the box and the surface is $\mu_s = 0.4$. What is the maximum force that can be applied horizontally before the box starts to move?

Accepted Answer

$F_{	ext{max}} = \mu_s m g = 0.4 	imes 5 	imes 9.8 = 19.6\ \mathrm{N}$

Question 5

A student drops a ball from a height of 20 m. Ignoring air resistance, how long does it take to reach the ground?

Accepted Answer

$t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 	imes 20}{9.8}} \approx 2.02\ \mathrm{s}$

Question 6

A 2 kg object moving at $3\ \mathrm{m/s}$ collides elastically with a stationary 1 kg object. What is the velocity of the 2 kg object after the collision?

Accepted Answer

$v_{1f} = \frac{m_1 - m_2}{m_1 + m_2} v_{1i} = \frac{2 - 1}{2 + 1} 	imes 3 = 1\ \mathrm{m/s}$

Question 7

A block slides down a frictionless incline of height $h$. What is its speed at the bottom?

Accepted Answer

$v = \sqrt{2gh}$

Question 8

Which of the following best describes Newton's Third Law?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 9

A rotating disk has an angular velocity $\omega$ and a moment of inertia $I$. What is its rotational kinetic energy?

Accepted Answer

$K = \frac{1}{2} I \omega^2$

Question 10

A satellite orbits Earth in a circular path. Which force provides the centripetal acceleration?

Accepted Answer

Gravitational force

Question 11

A spring with spring constant $k$ is compressed by a distance $x$. What is the potential energy stored in the spring?

Accepted Answer

$U = \frac{1}{2} k x^2$

Question 12

A pendulum exhibits simple harmonic motion. Which statement is true at its maximum displacement?

Accepted Answer

Its velocity is zero and its acceleration is maximum.

Question 13

A fluid exerts pressure on the walls of its container. What is the formula for pressure at a depth $h$ in a fluid of density $\rho$?

Accepted Answer

$P = \rho g h$

Question 14

A force $F$ is applied at a distance $r$ from the axis of rotation. What is the torque produced?

Accepted Answer

$	au = r F$

Question 15

A 3 kg object moving at $4\ \mathrm{m/s}$ collides inelastically with a 2 kg object at rest. What is their final velocity?

Accepted Answer

$v_f = \frac{m_1 v_1}{m_1 + m_2} = \frac{3 	imes 4}{3 + 2} = 2.4\ \mathrm{m/s}$

Question 16

Which of the following is true about the center of mass of a system?

Accepted Answer

It moves as if all the mass and external forces act at that point.

Question 17

A student pushes a box across a rough floor at constant speed. Which statement is true about the forces acting on the box?

Accepted Answer

The applied force equals the frictional force.

Question 18

A rotating wheel speeds up from rest to an angular velocity $\omega$ in time $t$ under constant angular acceleration $\alpha$. What is $\alpha$?

Accepted Answer

$\alpha = \frac{\omega}{t}$

Question 19

A block of mass $m$ is attached to a spring and oscillates with period $T$. What is the relationship between $T$, $m$, and the spring constant $k$?

Accepted Answer

$T = 2\pi \sqrt{\frac{m}{k}}$

AP Physics 1: Algebra-Based – Course and Exam Description (Effective Fall 2024)

Study Guide - Practice Questions