Q: A soccer ball is kicked from ground level with an initial speed of $v_0 = 20\ \text{m/s}$ at an angle of $\theta_0 = 30^\circ$ above the horizontal. Neglecting air resistance, what is the maximum height reached by the ball?

$H = \frac{v_0^2 \sin^2 \theta_0}{2g}$

Q: A projectile is launched from ground level with an initial velocity $v_0$ at an angle $\theta_0$ above the horizontal. Which equation gives the total time the projectile is in the air?

$T = \frac{2 v_0 \sin \theta_0}{g}$

Q: A car moves from point $P_1$ to $P_2$ in the $x$-$y$ plane. The displacement vector is $\vec{\Delta r} = (3.0, 4.0)\ \text{m}$ and the time interval is $\Delta t = 0.5\ \text{s}$. What is the magnitude of the average velocity?

$v_{\text{avg}} = \frac{\sqrt{3.0^2 + 4.0^2}}{0.5}$

Q: Which equation correctly gives the range $R$ of a projectile launched from ground level with initial speed $v_0$ at angle $\theta_0$?

$R = \frac{v_0^2 \sin 2\theta_0}{g}$

Question 1

A soccer ball is kicked from ground level with an initial speed of $v_0 = 20\ 	ext{m/s}$ at an angle of $	heta_0 = 30^\circ$ above the horizontal. Neglecting air resistance, what is the maximum height reached by the ball?

Accepted Answer

$H = \frac{v_0^2 \sin^2 	heta_0}{2g}$

Question 2

Which of the following statements about static and kinetic friction is TRUE?

Accepted Answer

Static friction prevents motion up to a maximum value, while kinetic friction acts during motion.

Question 3

A block of mass $m$ is pulled across a horizontal surface with a constant velocity by a force $F$ applied via a rope. If the coefficient of kinetic friction is $\mu_k$, what is the magnitude of the applied force?

Accepted Answer

$F = \mu_k m g$

Question 4

A projectile is launched from ground level with an initial velocity $v_0$ at an angle $	heta_0$ above the horizontal. Which equation gives the total time the projectile is in the air?

Accepted Answer

$T = \frac{2 v_0 \sin 	heta_0}{g}$

Question 5

Which of the following best describes the direction of the instantaneous velocity vector for an object moving along a curved path in the $x$-$y$ plane?

Accepted Answer

It is always tangent to the object's path.

Question 6

A hockey puck slides on ice with an initial velocity $v_0$ and comes to rest after traveling a distance $d$. If the coefficient of kinetic friction between the puck and ice is $\mu_k$, what is the acceleration of the puck?

Accepted Answer

$a = -\mu_k g$

Question 7

A car moves from point $P_1$ to $P_2$ in the $x$-$y$ plane. The displacement vector is $\vec{\Delta r} = (3.0, 4.0)\ 	ext{m}$ and the time interval is $\Delta t = 0.5\ 	ext{s}$. What is the magnitude of the average velocity?

Accepted Answer

$v_{	ext{avg}} = \frac{\sqrt{3.0^2 + 4.0^2}}{0.5}$

Question 8

Which of the following is NOT a correct statement about Newton's Laws of Motion?

Accepted Answer

They only apply to objects moving at constant velocity.

Question 9

A child pulls a toy chest with a rope at an angle $	heta$ above the horizontal. The normal force $N$ exerted by the floor on the chest is given by:

Accepted Answer

$N = m g - F \sin 	heta$

Question 10

Which equation correctly gives the range $R$ of a projectile launched from ground level with initial speed $v_0$ at angle $	heta_0$?

Accepted Answer

$R = \frac{v_0^2 \sin 2	heta_0}{g}$

Question 11

A block is held against a vertical wall by a horizontal force $F$. If the coefficient of static friction is $\mu_s$, what is the minimum value of $F$ required to prevent the block from sliding down?

Accepted Answer

$F = \frac{mg}{\mu_s}$

Question 12

Which of the following best describes the effect of increasing the normal force between two surfaces in contact?

Accepted Answer

It increases the frictional force.

Question 13

A projectile is launched with initial velocity components $v_{0x}$ and $v_{0y}$. Which equation gives the vertical position $y(t)$ at time $t$?

Accepted Answer

$y(t) = y_0 + v_{0y} t - \frac{1}{2} g t^2$

Question 14

Which of the following is a correct statement about the direction of the acceleration vector for an object moving along a curved path?

Accepted Answer

It always points toward the concave side of the curved path.

Question 15

A free-body diagram is useful for:

Accepted Answer

Visualizing the forces acting on a single object or system.

Question 16

A penguin slides down an icy incline of $10.0^\circ$ with a mass of $32.0\ 	ext{kg}$. If the coefficient of kinetic friction is $\mu_k = 0.05$, what is the net force acting on the penguin?

Accepted Answer

$F_{	ext{net}} = m g \sin 	heta - \mu_k m g \cos 	heta$

Question 17

Which of the following is the correct expression for the magnitude of the position vector $\vec{r}$ in two dimensions?

Accepted Answer

$|\vec{r}| = \sqrt{x^2 + y^2}$

Question 18

Which of the following is a correct statement about the coefficient of friction?

Accepted Answer

It is a dimensionless number that characterizes the interaction between two surfaces.

Study Notes: Two-Dimensional Motion, Friction, and Newton's Laws

Study Guide - Practice Questions

Study Guide - Flashcards