Hi! I have a quick multiple-choice homework that I'd appreciate any help on. thank you!

Part 2: Open-Ended Responses. All work and correct units MUST be shown for full credit. BOX in final answer. Use g =-10m/s"2 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located when its potential energy is a maximum? A) x=0 B)x=4A C)x=+A/2 D)x =-A2 A mass-spring oscillating system undergoes SHM with a period T. What is the period of the system if the amplitude is doubled? A) 2T B) 4T OT D) T/2 . A mass-spring oscillating system undergoes SHM with a period T when it is located on Earth. What is the period of the system when it is located on the Moon? A) 6T B) T/6 C)T D) /6T 4. A block with a mass M is attached to a vertical spring with a spring constant k. When the block is displaced from equilibrium and released its period is T. A second identical spring k is added to the first spring in parallel. What is the period of oscillations when the block is suspended from two springs? A) 2T B)+/2T C) T D)% 5. An object undergoes SHM and position as a function of time is presented by the following formula: x= (0.1 m) Sin (4nt). What is the period of oscillations? A) 2s B)0.1s C)05s D)4s 6. An object undergoes SHM and position as a function of time is presented by the following formula: x= (0.5 m) Cos (mt). What is the amplitude of oscillations? A) 2m B)Im C)05m D)0.1 m 7. The position as a function of time of a mass-spring oscillating system is presented by the graph. Which of the following is true about velocity and acceleration at the time 1.5 s? Velocity Acceleration X (m) A)yv>0 a0 1 CO)v0 a=0 0 t(s) 2.0 8. An object oscillates at the end of a spring. The position as a function of time is presented by the graph. Which of the following formulas represent the position and velocity of the object? Position Velocity x (m) 1.0 A) x = (0.5) Sin(nt) v = (0.5x) Sin(it) B) x = (0.5) Sin(it) V = (0.57) Cos(it) 0.5 C) x = (0.5) Cos(it) v = (0.5mt) Sin(it) 0 t (m D) X = (0.5mt) Sin(it) v = (0.5) Sin(it) 0.5 1.0 1.5 2.0 9. What is the length of a simple pendulum if it oscillates with a period of 2 s? A) 2.0 m B) 1.0 m C) 0.5 m D) 0.4 m 10.2 m 10. A simple pendulum consists of a mass M attached to a vertical string L. When the string is displaced to he right the ball moves up by a distance 0.2 m. When the ball is released from rest what is the maximum speed? A) 1 m/s B) 2 m/s C) 3 m/s D) 4 m/s 11. A simple pendulum of length / whose bob has mass m, oscillates with a period T. If the bob is replaced by one of mass 4m, the period of oscillation is (A) T/4 (B) T/2 (C) T (D) 2T12. Which of the following is true for a system consisting of a mass oscillating on the end of an ideal spring? (A) The kinetic and potential energies are equal at all times. (B) The kinetic and potential energies are both constant. (C) The maximum potential energy is achieved when the mass passes through its equilibrium position. (D) The maximum kinetic energy and maximum potential energy are equal, but occur at different times. 13. When a mass m is hung on a certain ideal spring, the spring stretches a distance d. If the mass is then set oscillating on the spring, the period of oscillation is proportional to W) ~E B~ O-% O Questions 14 and 15. A block on a horizontal frictionless plane is attached to a spring, as shown above. The block oscillates along the x-axis with simple harmonic motion of amplitude A. 14. Which of the following statements about the block is correct? (A) Atx =0, its velocity is zero. (B) At x = 0, its acceleration is at a maximum. (C) Atx = A, its displacement is at a maximum. (D) Atx = A, its velocity is at a maximum. 15. Which of the following statements about energy is correct? (A) The potential energy of the spring is at a minimum at x = 0. (B) The potential energy of the spring is at a minimum at x = A. (C) The kinetic energy of the block is at a minimum at x =0. (D) The kinetic energy of the block is at a maximum at x = A. Questions 16-17 0.5 5 2 -4 16. A particle moves in simple harmonic motion represented by the graph above. Which of the following represents the velocity of the particle as a function of time? (A) v(t) =4 cos (mtt) (B) v(t) = -m'cos (t) (C) v(t) =-4 sin (mt) (D) v(t) = - 4msin (mt) 17. Which of the following is true of the speed of the particle? (A) It is always equal to 4 m/s. (B) It is always equal to T m/s. (C) It oscillates between 0 and 4 m/s. (D) It oscillates between -4x and 41 m/s