Question

Review | Constants Per Part A An Infant's toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal oscillates up and down with a period of 0.42 s. His older sister pulls the spring a bit more than intended. She pulls the animal 30 cm below its equilibrium position, then lets go. The animal flies upward and detaches from the spring right at the animal's equilibrium position If the animal does not hit anything on the way up, how far above its equilibrium position will it go? Express your answer with the appropriate units. μΑ ? h Value Units Submit Previous Answers Request Answer X Incorrect: Try Again: 4 attempts remaining < Retum to Assignment Provide Feedback

Answer 1

In case of Simple harmonic motion, when motion is considered from the equilibrium position. y = A Sinot to 't'. differentiating with respect to dy = It WA Coswt Sinuta у WA cosaz A g los wit= VI-y2 Az > va Wairar-yz A > لا لا A _yz is maximum at equilibrium In SHM , velocity Position ire y20

So, Umax = WA Given, T=0.42 S .) Vimax 2 27 A T A = 30 cm 0.30 2 A X 0.30 Or42 Vmax 4.49 mys Detaches from the spring, so, for free falling, K now, we 12 2 G H [h=0 2 man = 2 g H 2 2) H Vomax 2 g > H 4.492 - 2x9.8 Ha 10 2765 m >> H 102.77 em Augs