1. A 500g block on a frictionless horizontal surface isattached to a spring with

Question

1. A 500g block on a frictionless horizontal surface isattached to a spring with spring constant of 12.5N/m. The block ispulled to x = - 20cm and released at t = 0. a. What is the period of oscillation? b. Determine the position as a function of time. c. Where is the block at t = 2s? d. What is the blocks velocity at t = 2s? e. What is the blocks acceleration at t = 2s? 1. A 500g block on a frictionless horizontal surface isattached to a spring with spring constant of 12.5N/m. The block ispulled to x = - 20cm and released at t = 0. a. What is the period of oscillation? b. Determine the position as a function of time. c. Where is the block at t = 2s? d. What is the blocks velocity at t = 2s? e. What is the blocks acceleration at t = 2s?

Explanation / Answer

mass of the block M = 500 g = 0.5 kg spring constant K = 12.5 N / m amplitude A = 20 cm = 0.2 m (a). period of oscillation T = 2 [ K / M ] (b). position x = - A sin ( 2 f t + ( / 2 )) where f = frequency = 1 / T (c). substitue t = 2 s in above equation weget answer (d). block velocity   v = d x / dt                                 = -A * 2 f cos ( 2 f t + ( / 2 ) ) (e). accleration a = d v / dt                           = A ( 2 f ) 2 sin ( 2 f t + ( / 2 ) ) substitue t = 2 s in above we get answer

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