A block-spring system consists of a spring with constant k = 435 N/m attached to

Question

A block-spring system consists of a spring with constant k = 435 N/m attached to a 2.75 kg block on a frictionless surface. The block is pulled 4.20 cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration? HINT (a) amplitude (in m) (b) angular frequency (in rad/s) (c) frequency (in Hz) Hz (d) period (in s) (e) maximum velocity (in m/s) (f) maximum acceleration (in m/s)

Explanation / Answer

a)

amplitude = 4.20 cm = 0.0420 m

Answer: 0.0420 m

b)

w = sqrt(k/m)

= sqrt(435/2.75)

= 12.6 rad/s

Answer: 12.6 rad/s

c)

use:

w = 2*pi*f

12.6 = 2*pi*f

f = 2.00 Hz

Answer: 2.00 Hz

d)

period,

T = 1/f

=1/2.00

= 0.50 s

Answer: 0.50 s

only 4 parts at a time

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