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Question: Assuming that potential energy of spring is zero when it is stretched by 'x<sub>0</sub>', its potent...

Assuming that potential energy of spring is zero when it is stretched by 'x0', its potential energy when it is compressed by 'x0/2' is -

A

38kx02\frac { 3 } { 8 } \mathrm { kx } _ { 0 } ^ { 2 }

B

C

−38kx02- \frac { 3 } { 8 } \mathrm { kx } _ { 0 } ^ { 2 }

D

18kx02\frac { 1 } { 8 } \mathrm { kx } _ { 0 } ^ { 2 }

Answer

−38kx02- \frac { 3 } { 8 } \mathrm { kx } _ { 0 } ^ { 2 }

Explanation

Solution

Change in potential energy is independent of reference

\f0 U2 - U1 =

= −38kx02- \frac { 3 } { 8 } \mathrm { kx } _ { 0 } ^ { 2 }