8) A block of unknown mass is attached to a spring with aspring constant of 5.00

Question

8) A block of unknown mass is attached to a spring with aspring constant of 5.00 N/m and undergoessimple harmonic motion with an amplitude of 11.0 cm. When the block is halfway between itsequilibrium position and the end point, its speed is measured to be28.0 cm/s. (a) Calculate the mass of the block.
kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2 (a) Calculate the mass of the block.
kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2 kg
(b) Calculate the period of the motion.
s
(c) Calculate the maximum acceleration of the block.
m/s2

Explanation / Answer

2v = A 0.56 = 0.11k/m 0.56 = 0.115/m m = 0.1929 kg T = 2m/k    = 20.1929/5    =1.233 s amax = -A2         =-0.11(5/0.1929)         = -2.8512m/s2         =-0.11(5/0.1929)         = -2.8512m/s2

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