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A particle of mass 1 kg is moving X-axis...

A particle of mass `1 kg` is moving X-axis. Its velocity is `6 m//s` at `x = 0`. Acceleration-displacement curve and potential energy-dispalcement curve of the particle are shown :
.

A

the work done by all the forces is `704 J`

B

the work done by external forces is `350 J`

C

the work done by external forces is `384 J`

D

the work done by conservation forces is `300 J`.

Text Solution

Verified by Experts

The correct Answer is:
A, C
Area of `(a-t)` curve `= 32 ms^(-1) = V_(f) - V_(i)`
`V_(f)=32 +V_(i)=32+6 = 38 ms^(-1)`
work done by all forces `= Delta KE`
=`(1)/(2)m(V_(f)^(2)-V_(i)^(2))=(1)/(2)(38^(2) -6^(2))=704 J`
work done by external forces `= 704 -320 = 384 J`.
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