A block of unknown mass is attached to a spring with a springconstant of 7.50 N/

Question

A block of unknown mass is attached to a spring with a springconstant of 7.50 N/m and undergoessimple harmonic motion with an amplitude of 11.5 cm. When the block is halfway between itsequilibrium position and the end point, its speed is measured to be27.0 cm/s. (a) Calculate the mass of the block.
(b) Calculate the period of the motion (c) Calculate the maximum acceleration of the block. A block of unknown mass is attached to a spring with a springconstant of 7.50 N/m and undergoessimple harmonic motion with an amplitude of 11.5 cm. When the block is halfway between itsequilibrium position and the end point, its speed is measured to be27.0 cm/s. (a) Calculate the mass of the block.
(b) Calculate the period of the motion (c) Calculate the maximum acceleration of the block.

Explanation / Answer

b) The speed of the block is given by             v =[A2-x2]            v = (2/T)[A2-x2]       The period of the motionis              T =(2/v)[A2-x2] Here A = 0.115 m          x =A/2          v = 0.27m/a a) We know that       =[k/m]     The mass of the block is      m = k/(2/T)2                     Here k = 7.50 N/m c) The maximum acceleration of the block is            a = A2 Substitute the vlaues. Substitute the vlaues.

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