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A single conservative force F(x) acts on...

A single conservative force `F(x)` acts on a `1.0-kg` particle that moves along the x-axis. The potential energy `U(x)` is given by `U(x)=20+(x-2)^2` where x is in meters. At `x=5.0m`, the particle has a kinetic energy of `20J`.
What is the mechanical energy of a system?

A

(a) `35J`

B

(b) `64J`

C

(c) `86J`

D

(d) `49J`

Text Solution

Verified by Experts

The correct Answer is:
D
At ` x=5m`, `U=20+(5-2)^2=29J`, `K=20J`
Mechanical energy `=E=U+K=29+20=49J`
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