AP Physics 1 Full-length practice exam 2

A $0.10\text{kg}$ ball hits a wall at $20\text{m/s}$ and rebounds at $15\text{m/s}$ (opposite direction). The collision lasts $0.020\text{s}$. What is the average force the wall exerts on the ball?

A hydraulic press has a small piston of area $A_1=0.010{\text{m}}^2$ and a large piston of area $A_2=0.50{\text{m}}^2$. If a force of $200\text{N}$ is applied to the small piston, what force is exerted on the large piston?

An object's position as a function of time is shown in a graph (not reproduced here): position is constant at $x=4\text{m}$ for $0\le t<2\text{s}$, then increases linearly to $x=10\text{m}$ at $t=5\text{s}$, then decreases linearly back to $x=4\text{m}$ at $t=8\text{s}$. What is the object's average velocity over the interval from $t=0$ to $t=8\text{s}$?

A $0.50\text{kg}$ mass on a spring oscillates with angular frequency $\omega =4.0\text{rad/s}$. What is the spring constant?

A $0.20\text{kg}$ baseball moving at $40\text{m/s}$ is caught by a fielder. What is the magnitude of the impulse delivered to the ball during the catch?

The velocity-vs-time graph of a moving object is a straight line that starts at $v=-4\text{m/s}$ at $t=0$ and reaches $v=+6\text{m/s}$ at $t=5\text{s}$. What is the average acceleration over this interval?

A spinning ice skater has angular momentum $L$ and rotational kinetic energy $KE$. By pulling in his arms, he reduces his moment of inertia by half. What are the new $L$ and $KE$?

Two identical disks (same mass $M$ and radius $R$) start from rest at the top of an incline. Disk A slides down without rotating; Disk B rolls without slipping. Which reaches the bottom with greater speed?

A swimming pool is $4.0\text{m}$ deep. With ${\rho }_{water}=1000{\text{kg/m}}^3$, $g=10{\text{m/s}}^2$, and atmospheric pressure $P_0=1.0\times 10^5\text{Pa}$, what is the absolute pressure at the bottom?

Cart A ($2\text{kg}$, $3\text{m/s}$ east) collides with Cart B ($4\text{kg}$, $1\text{m/s}$ west) on a frictionless track. After they stick together, what is the velocity of the combined carts?

A wheel of moment of inertia $I=0.50{\text{kg⋅m}}^2$ has a constant net torque of $2.0\text{N⋅m}$ applied for $4.0\text{s}$ starting from rest. What is its angular momentum at $t=4.0\text{s}$?

A mass on a spring undergoes simple harmonic motion with amplitude $A$. At what displacement is its kinetic energy equal to its potential energy?

A spring with spring constant $k=200\text{N/m}$ is compressed $0.10\text{m}$ from its natural length. How much potential energy is stored in the spring?

A solid disk of moment of inertia $I=0.20{\text{kg⋅m}}^2$ spins at angular speed $\omega =10\text{rad/s}$. What is its rotational kinetic energy?

A $2.0\text{kg}$ object's speed increases from $3.0\text{m/s}$ to $5.0\text{m/s}$. What is the net work done on the object?

A car accelerates uniformly from rest. After traveling $20\text{m}$, its speed is $10\text{m/s}$. What is its speed after it has traveled an additional $60\text{m}$ (i.e., $80\text{m}$ total)?

A $1000\text{kg}$ elevator rises at a constant $2.0\text{m/s}$. Taking $g=10{\text{m/s}}^2$, what is the minimum power the motor must deliver?

A solid sphere ($I=\frac{2}{5}M{R}^2$), a solid disk ($I=\frac{1}{2}M{R}^2$), and a hoop ($I=M{R}^2$) all roll without slipping down the same incline starting from rest. In what order do they reach the bottom?

A car traveling at $20\text{m/s}$ brakes uniformly and stops in $4.0\text{s}$. What is the magnitude of its acceleration?

A child of mass $m$ jumps onto the edge of a stationary merry-go-round (a disk of mass $M$ and radius $R$ on a frictionless bearing) with tangential speed $v$. What is the angular speed of the system after the child lands?

A $1.0\text{kg}$ cart moving at $4.0\text{m/s}$ collides and sticks to a $3.0\text{kg}$ cart at rest. What is the speed of the combined carts after the collision?

A ball is thrown straight up with an initial speed of $15\text{m/s}$. Taking $g=10{\text{m/s}}^2$ and ignoring air resistance, what is the maximum height reached above the launch point?

A figure skater spinning with arms extended pulls her arms in. As a result, her angular velocity increases by a factor of 3. By what factor does her rotational kinetic energy change?

A mass-spring system has period $T$. If the mass is doubled (and the spring is unchanged), the new period is:

A force-vs-time graph shows a constant force of $8\text{N}$ acting on an object for $0.5\text{s}$, then $0\text{N}$ for the remaining time. What is the impulse delivered during the entire force application?

A $2.0\text{kg}$ block sits on a horizontal surface with coefficient of static friction ${\mu }_s=0.40$. Taking $g=10{\text{m/s}}^2$, what is the maximum horizontal force that can be applied without the block sliding?

A $4.0\text{kg}$ box experiences three horizontal forces: $10\text{N}$ east, $6.0\text{N}$ west, and $4.0\text{N}$ east. What is the box's acceleration?

A stone is dropped from a tall cliff. Ignoring air resistance and taking $g=10{\text{m/s}}^2$, how far does it fall during the third second of its fall (between $t=2\text{s}$ and $t=3\text{s}$)?

Where in its motion does a simple harmonic oscillator have its maximum acceleration?

An object moves along the x-axis with the position function $x(t)=3t^2-12t+5$ (meters, with $t$ in seconds). At what time does the object momentarily come to rest?

An object undergoes SHM with amplitude $A=0.10\text{m}$ and angular frequency $\omega =5.0\text{rad/s}$. What is the maximum speed?

A horizontal force of $20\text{N}$ pushes a box $5.0\text{m}$ across a level floor. How much work does the force do on the box?

Which of the following collisions conserves both momentum AND kinetic energy?

Two identical containers each hold the same volume of fluid: container 1 has water (density $1000{\text{kg/m}}^3$), container 2 has oil (density $800{\text{kg/m}}^3$). Both fluids fill their containers to the same height. Compare the pressure at the bottom of each container.

A $1500\text{kg}$ car rounds a flat (unbanked) curve of radius $50\text{m}$ at $15\text{m/s}$. What is the minimum coefficient of friction needed to keep the car on the curve? (Take $g=10{\text{m/s}}^2$.)

A mass on a spring oscillates with period $T=2.0\text{s}$. What is its frequency?

A net torque of $4.0\text{N⋅m}$ is applied to a wheel with moment of inertia $I=2.0{\text{kg⋅m}}^2$. What is the angular acceleration?

A wheel rotating at $10\text{rad/s}$ slows uniformly to rest in $5.0\text{s}$. Through what angle does it rotate during this time?

Which of the following statements about work is correct?

A force of $20\text{N}$ is applied perpendicular to the end of a $0.50\text{m}$ wrench. What torque does it produce about the bolt?

A cube of side $0.10\text{m}$ is fully submerged in water (density $\rho =1000{\text{kg/m}}^3$). With $g=10{\text{m/s}}^2$, what is the buoyant force on the cube?

A solid metal sphere of mass $1.0\text{kg}$ and density $4000{\text{kg/m}}^3$ is fully submerged in water. With $g=10{\text{m/s}}^2$, what is the apparent weight (the reading on a scale supporting it under water)?

Water flows through a horizontal pipe. At point 1 the pressure is $2.0\times 10^5\text{Pa}$ and the speed is $3.0\text{m/s}$. At point 2 the speed has increased to $5.0\text{m/s}$. With $\rho =1000{\text{kg/m}}^3$, what is the pressure at point 2?

A projectile is launched from ground level at a speed of $30\text{m/s}$ at an angle of $30°$ above the horizontal. Taking $g=10{\text{m/s}}^2$ and ignoring air resistance, how long is the projectile in the air before returning to the ground?

A $0.50\text{kg}$ ball is dropped from rest from a height of $20\text{m}$. Ignoring air resistance and taking $g=10{\text{m/s}}^2$, what is its speed just before hitting the ground?

Two blocks of masses $3.0\text{kg}$ and $5.0\text{kg}$ are in contact on a frictionless surface. A horizontal force of $24\text{N}$ is applied to the $3.0\text{kg}$ block, pushing both. What is the contact force between the blocks?

An astronaut of mass $80\text{kg}$ floating at rest in space throws a $2.0\text{kg}$ wrench at $10\text{m/s}$. What is the recoil speed of the astronaut?

A heavy door is harder to push open if you push close to the hinge. The reason is that:

Two balls of equal mass collide elastically head-on. Ball A moves at $+5\text{m/s}$, Ball B at $-3\text{m/s}$. What are their velocities after the collision?

A $2.0\text{kg}$ object on a string moves in a horizontal circle of radius $0.50\text{m}$ at $4.0\text{m/s}$. What is the tension in the string?