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- 36. A1.00 kg mass is attached to a massless spring. After a mass, M, is attached to the spring and it reaches equilibrium, the spring is stretched 12.0 from its free length. From this position, the mass is pulled down an additional 20.0 cm, and released. Assume no loss due to friction. The force constant of the spring is M O A. 1 N/m B. 12 N/m OC. 20 N/m D. 54 N/m O E. 75 N/m F. 82 N/m O C. 98 N/m Back Save & Continue earch 99+ DELL10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.The displacement of an oscillating mass is given by x(t) = 20 cos( 5 t ). At time t = 1.5TT S, what is the velocity of the mass in m/s? A. 500 m/s B. -100 m/s C. 0 m/s D. 100 m/s E. 500 m/s
- 2. Oscillation: A body moves with SHM of an amplitude 24 cm and a period of 1.2 sec. Find the speed of the object when it is at its mid position and when 24 cm away.To double the total energy of a mass oscillating at the end of a spring, we need to Select one: O a. increase the amplitude by 4 and decrease the angular frequency by√2 O b. increase the amplitude by √2 O c. increase the angular frequency by 2. O d. increase the angular frequency by √2 e. increase the amplitude by 2A 635g block is attached to a spring. The block is pulled away from the equilibrium and released. It completes 40cycles in 20 sec. find the spring constant Select one: a. 200N/m b. 32N/m с. 157N/m d. 100N/m e. 50N/m
- B680.A mass in a spring-mass system is released from x = 60 cm towards the equilibrium position at x = 0. What is the velocity and acceleration of the mass when it reaches x = -55 cm? The velocity is negative, while the acceleration is positive. The velocity and acceleration are both positive. The velocity is positive, while the acceleration is negative. The velocity and acceleration are both negative.Which of the following statements is FALSE for a particle undergoing simple harmonic motion? Explain why.A. The restoring force is directly proportional to the displacement from equilibrium. B. The acceleration and velocity are always in opposite directions. C. The motion of the particle is always periodic. D. The graph of the acceleration against the displacement is a straight line with a negative slope.