Work-Energy Theorem (College Board AP® Physics 1: Algebra-Based): Exam Questions

A soccer player kicks a soccer ball at rest on the penalty spot. The player's kick exerts a force of 43 N on the ball in the direction of travel. The ball has 862 J of kinetic energy just before the goalkeeper catches it. Which of the following is a best estimate of the distance traveled by the ball from the penalty spot to the goalkeeper's arms.

A block of mass $64\mathrm{g}$ slides down an inclined plane with a coefficient of kinetic friction of $0.31$. If the angle of incline is $37°$ from the horizontal, and the block slides a distance of $0.24\mathrm{m}$, which of the following is correct for the energy dissipated by friction?

A forklift truck raises a 350 kg crate from the ground to a shelf 5.0 m higher.

The forklift is 60% efficient.

Which of the following is most nearly the work done by the forklift's engine?

An object is released from rest and slides a distance $d$ down an incline plane at an angle of $\theta$ to the horizontal. It experiences a constant friction force with magnitude $F$ and reaches a final speed of $v$.

Which of the following expressions is equal to the mass of the object?

A 5 kg mass rests on a smooth, frictionless table, connected by a light inextensible string to a 3 kg mass suspended over the edge of the table. The string runs over an ideal pulley (massless and frictionless). When the 3 kg mass is released, it falls, causing the 5 kg mass to slide along the table.

If the system starts from rest, what will be the speed of both masses after the 3 kg mass has fallen 1.5 m?

Two masses, $m_1$ and $m_2$ are suspended from either side of a pulley with diameter $D$, where $m_1>m_2$.

In the time taken for the speed of $m_1$ to increase from $v_1$ to $v_2$, the pulley has rotated by 180°.

Which of the following expressions is equal to the fraction $\frac{m_2}{m_1}$?

Four constant forces act on an object that is initially at rest, as shown in the figure above.

Which of the following is most nearly the kinetic energy of the object after it has moved $15.0\mathrm{m}$ in the direction of the resultant motion?

Two objects are connected via a light inextensible string which runs over a pulley on a cliff edge. One object of mass $m_1$ is held stationary on the ground, as shown in the figure above, while the object of mass $m_2$ is submerged under water while hanging from the string. The masses are such that $m_1=\frac{m_2}{4}$ and the density of mass $m_2$ is 8 times the density of water.

When $m_1$ is released, the string remains taut and $m_1$ reaches a speed $v$ once it has moved distance $d$. The coefficient of kinetic friction between mass $m_1$ and the ground is ${\mu }_k=0.1$.

Which of the following is the correct expression for speed $v$?