Question 1 (1 point) Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? The displacement is directly related to the acceleration. O The acceleration and velocity vectors always point in the same direction O The acceleration vector is always toward the equilibrium point. O The acceleration and displacement vectors always point in opposite directions.Question 2 (5 points) A spring of spring constant 40 N/m is attached to a fixed surface, and a block of mass 0.25 kg is attached to the end of the spring, sitting on a frictionless surface. The block is now displaced 15 centimeters and released at time t = 0. k=40 N/m 25 kg X-15 cm X=0 x 15 cm a. : Determine the period of the spring-block oscillator. (1 mark) b. Determine the speed of the block at position x - 0. (2 marks) c. Write an expression for the displacement of the block as a function of time. (2 marks)Question 3 (7 points) A disk with a mass M, a radius R, and a rotational inertia of / = % MR2 is attached to a horizontal spring which has a spring constant of k . When the spring is stretched by a distance x and then released from rest, the disk rolls without slipping while the spring is attached to the frictionless axle within the center of the disk. a. Calculate the maximum translational velocity of the disk in terms of M, R, x, k. (3 marks) b. What would happen to the period of this motion if the spring constant of the spring increased? Justify your answer. (2 marks) c. What would happen to the period of this motion if the surface was not frictionless and the disk was not allowed to roll? Justify your answer. (2 marks)Question 4 (5 points) A 5-kg mass attached to a linear spring undergoes simple harmonic motion along a frictionless tabletop with an amplitude of 0.35 m and frequency of 0.67 Hz. a. Calculate the value of the spring constant. (3 marks) b. What is the ratio of the mass' acceleration when it is at half its amplitude to when it is at full amplitude? (2 marks)Question 5 (2 points) On a flat surface in Toledo, Ohio, a simple pendulum of length 0.58 m and mass 0.34 kg is pulled back an angle of 450 and released. a. Determine the theoretical period of the pendulum. (1 mark) b. When the period is measured (with a photogate, for 20 oscillations) it is found that the experimental period is 5 percent higher than expected. Repeated measurements consistently gives similar values. What is the most likely explanation for this systemic error? (1 marks)Question 6 (5 points) Students are to conduct an experiment to investigate the relationship between the length of a pendulum and its period. Their procedure involves hanging a 0.5 kg mass on a string of varying length, L, setting it into oscillation, and measuring the period. The students conduct the experiment and obtain the following data: Trial 3 5 6 Length (m) 0.25 10.50 0.75 1.0 1.5 2.0 Period (s) 1.0 1.4 1.7 2.0 2.5 2.8 a. Use the above empty boxes in the data table to calculate values of square of period (s?). (1 mark) b. Use your graphing calculator (for example, TI-83+) to plot length vs. square of period (x vs y). Then apply the best fit line program to find the slope of the best fit line. (2 marks) c. "Use the slope of the best fit line to calculate the experiment value of acceleration due to gravity. (2 marks)