A 0. 40 kg particle moves under the influence of a single conservative force. At point a where the particle has a speed of 10 m/s, the potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. What is the value of the potential energy at point b?.

Answers

Answer 1

The potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. Hence, the value of the potential energy at point b is -25J.

What is conservative force?A conservative force is one which doesn't depend on the path followed to accomplish its goal of moving a particle between two places. In other words, if a particle moves in a closed loop, a conservative force does no work at all.

Solution:

Given:

Mass of the particle= 0. 40 kg

Speed=10m/s

Initial workdone =+25J

Initial Potential enrgy=+40J

Now to find the value of the potential energy at point b use the following statement i.e.

∴ The change in potential energy of the given system is the -ve of the internal work done by the conservative force on the particle.

Hence,

ΔU=−W int

ΔU=-(+25J)

ΔU=-25J

Hence, -25Jis the value of the potential energy at point b.

To know more about conservative force visit

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