**20. A 4-kg block is attached to a spring, and oscillates horizontally on a frictionless table-top. The spring has constant k = 1875 N/m. The maximum speed measured for the block isv=10 m/sa) What is the total mechanical energy of the block-spring system? Explainb) When the block is moving at a speed ofv 5 m/s, how far is the spring stretched (orcompressed)?

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Asked Nov 18, 2019
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**20. A 4-kg block is attached to a spring, and oscillates horizontally on a frictionless table-
top. The spring has constant k = 1875 N/m. The maximum speed measured for the block is
v=10 m/s
a) What is the total mechanical energy of the block-spring system? Explain
b) When the block is moving at a speed ofv 5 m/s, how far is the spring stretched (or
compressed)?
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**20. A 4-kg block is attached to a spring, and oscillates horizontally on a frictionless table- top. The spring has constant k = 1875 N/m. The maximum speed measured for the block is v=10 m/s a) What is the total mechanical energy of the block-spring system? Explain b) When the block is moving at a speed ofv 5 m/s, how far is the spring stretched (or compressed)?

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Expert Answer

Step 1
  1. angular velocity and the amplitude of motion can be calculated as follows,
k
=
т
1875
4
21.65rad/sec
V
A =
max
5
21.65
=0.23m
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k = т 1875 4 21.65rad/sec V A = max 5 21.65 =0.23m

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Step 2

Then the mechanical energy of th...

E =kx
2
1
kA2
2
x A amplitude
1
(1875) (0.23)'
= 49.59J
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E =kx 2 1 kA2 2 x A amplitude 1 (1875) (0.23)' = 49.59J

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