AP Physics 1 - S2W12

An object moves up and down the y-axis with an acceleration given as a function of time t by the expression a = A sin ωt, where A and ω are constants. What is the period of this motion?

• ω

• 2πω

• ω²A

• 2π/ω

• ω/2π

A sphere of mass m₁, which is attached to a spring, is displaced downward from its equilibrium position as shown above left and released from rest. A sphere of mass m₂, which is suspended from a string of length l is displaced to the right as shown above right and released from rest so that it swings as a simple pendulum with small amplitude. Assume that both spheres undergo simple harmonic motion. Which of the following is true for both spheres?

• The maximum kinetic energy is attained as the sphere passes through its equilibrium position.

• The maximum kinetic energy is attained as the sphere reaches its point of release.

• The minimum gravitational potential energy is attained as the sphere passes through its equilibrium position.

• The maximum gravitational potential energy is attained when the sphere reaches its point of release.

• The maximum total energy is attained only as the sphere passes through its equilibrium position.

In Trial 1 of an experiment, Block 1 of mass M is oscillating at the end of a spring. The other end of the spring is attached to a wall. Friction between the block and the floor is negligible. Block 1 oscillates with amplitude d₀. In Trial 2 of the experiment, a second identical block is attached to Block 1, and the two-block system oscillates with amplitude d₀. How do the maximum speeds and maximum kinetic energies in the two trials compare?

• Greater in Trial 1 | Greater in Trial 1

• Greater in Trial 1 | Equal in both trials

• Equal in both trials | Equal in both trials

• Equal in both trials | Greater in Trial 2

Tags

NGSS.HS-PS3-2

The graph above represents the potential energy U as a function of displacement x for an object on the end of a spring oscillating in simple harmonic motion with amplitude x₀. Which of the following graphs represents the kinetic energy K of the object as a function of displacement x?

• 
• 
• 
• 
• 

A block is attached to a spring and undergoes simple harmonic motion. The graph represents the position x as a function of time t of the block. Which of the following expressions correctly describes the block’s position x as a function of t?

• x₀ cos(2πt/3t₀)

• x₀ cos(4πt/3t₀)

• 2x₀ cos(2πt/3t₀)

• 2x₀ cos(4πt/3t₀)

Tags

NGSS.HS-PS3-2

NGSS.HS-PS4-1

Block 1 of mass m1 and Block 2 of mass m2 = 2m1 are each attached to identical horizontal springs. Each block is displaced from equilibrium by an unknown amount and the blocks are released from rest simultaneously, undergoing simple harmonic motion. A student claims that Block 1 will make its first return to its equilibrium position before Block 2 first returns to its equilibrium position. Is this claim correct? Why or why not?

• Yes, because the maximum force exerted by the spring on Block 1 is less than that exerted on Block 2.

• Yes, because the period of oscillation for Block 1 is less than that of Block 2.

• No, because the initial displacements of the blocks are unknown.

• No, because the springs are identical.

A block is attached to a horizontal spring with spring constant k1 and undergoes simple harmonic motion. Figure 1 shows a graph of the position of the block as a function of time over a time interval. The same block is then attached to a different horizontal spring, which has spring constant k2, and is again set into simple harmonic motion as represented by the position-time graph in Figure 2. Which of the following correctly compares k2 and k1, and provides a valid justification?

• k2 < k1, because the period in Figure 2 is greater than that in Figure 1

• k2 < k1, because the amplitude in Figure 2 s greater than that in Figure 1.

• k2 > k1, because the period in Figure 2 is greater than that in Figure 1.

• k2 > k1, because the amplitude in Figure 2 is greater than that in Figure 1.

Pendulum 1 and Pendulum 2 each consist of a sphere attached to an identical string fixed to a ceiling. The sphere in Pendulum 1 has mass m and the sphere in Pendulum 2 has mass 2m. Both pendulums are held in place at the same angular displacement from equilibrium, as shown, and released from rest, undergoing simple harmonic motion. Which of the following correctly compares the maximum kinetic energies K_max,1 and K_max,2 of Pendulum 1 and Pendulum 2, respectively?

• K_max,1 < K_max,2

• K_max,1 = K_max,2

• K_max,1 > K_max,2

• It cannot be determined without knowing the length of the strings.

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2