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Practice Test 8 - AP Physics 1

20 questions. Answer them in any order, then submit to see your score and every explanation.

  1. A hammer strikes a nail and comes to a stop during the brief collision. During contact, how do the forces on hammer and nail compare?​
  2. Two uniform rods each have mass MM and length LL and rotate about axes perpendicular to the rod. Rod A rotates about an axis through a point one-quarter of the length from an end. Rod B rotates about an axis through its center. Which rod has the greater rotational inertia about its axis?
  3. A toy car moves along the xx-axis; positive is to the right. Its position as a function of time is shown by a straight line on an xx vs. tt graph passing through (t=1 s, x=2 m)(t=1\,\text{s},\,x=2\,\text{m}) and (t=5 s, x=10 m)(t=5\,\text{s},\,x=10\,\text{m}). What is the car's velocity during this interval?
  4. A turntable rotates about a fixed central pivot. A tangential force at the rim produces a clockwise torque, and the turntable rotates counterclockwise through angle θ\theta. What is the sign of the work done by the torque from the force?
  5. A 0.50 kg0.50\,\text{kg} cart on a horizontal track is pushed to the right and speeds up. Friction is negligible. Which forces act on the cart? Select the correct free-body diagram.
  6. A sphere is neutrally buoyant in water and remains suspended at rest when released. Which statement is correct?
  7. A ball of mass mm is thrown at speed vv. A second ball of mass $2m$ is thrown at speed v2\tfrac{v}{\sqrt{2}}. Which has greater kinetic energy?
  8. A ball is moving upward through water at constant speed. Forces are buoyant force upward, weight mgmg downward, and drag downward. Which relation must hold?
  9. A cart is attached to an ideal spring on a frictionless surface. Equilibrium is x=0x=0 at the natural length; +xx is right. The cart is at x=−0.20 mx=-0.20\,\text{m} (compressed) and moving right. Which best describes the spring force direction?
  10. Two objects each have mass MM and length LL and rotate about a frictionless axle through one end, perpendicular to their length. Object 1 is a uniform thin rod. Object 2 is the same rod but with small dense caps added at both ends so mass is shifted outward while total mass stays MM. Which object has the greater rotational inertia about the axle?
  11. A motor's angular position is θ(t)=5−3t\theta(t)=5-3t (rad). What is its angular velocity?
  12. Two identical pucks collide on nearly frictionless ice. Before the collision, puck 1 moves right and puck 2 is at rest. After the collision, puck 1 stops and puck 2 moves right with the same speed puck 1 initially had. Assume external forces are negligible. What type of collision is most consistent with these observations?
  13. A figure skater spins upright with angular speed ω0\omega_0 while holding two identical masses at arm's length. External torque on the skater–masses system is negligible. The skater pulls the masses inward so the system's moment of inertia decreases from I0I_0 to 34I0\tfrac{3}{4}I_0. How does the skater's angular speed change?
  14. Two solid spheres have equal mass MM and equal radius RR and rotate about an axis through the center. Sphere 1 is uniform. Sphere 2 has density greater near its surface and smaller near its center (but total mass remains MM). Which sphere has greater rotational inertia about the stated axis?
  15. A rock is held fully submerged and motionless in water by an upward tension in a string. Which statement is correct?
  16. Two points are in the same still water column open to the atmosphere. Point A is 0.30 m0.30\,\text{m} below the surface and point B is 0.30 m0.30\,\text{m} below the surface but at a different horizontal location. Pressure is due to fluid depth. How do the pressures compare?
  17. A hollow sphere is neutrally buoyant in water and drifts at rest. Forces are buoyant force upward and weight mgmg downward; drag is negligible. Which statement is correct?
  18. A 2.0 kg cart on a level, low-friction track is pulled right by a 10 N rope while friction pulls left with 4 N. In the ground frame, the cart accelerates right. What is the cart's acceleration magnitude?
  19. A person stands on a bathroom scale in an elevator moving upward at a steady speed. The person and scale remain in contact. Compare the force of the scale on the person to the force of the person on the scale.
  20. A box on a rough horizontal floor is pulled to the right with a force that is gradually increased. The box is about to move to the right. The friction is static; other forces are weight and normal force. What is the friction force direction?

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