At time ti, the kinetic energy of a particle is41.1 J and its potential energy is 11.9 J. Atsome later time tf , its kinetic energy is 18.2 J and 34.8 J for potential energyIf the potential energy at time tf is 7.54 J,what is the work done by the nonconservativeforces acting on the particle?Answer in units of J.

Question
Asked Dec 3, 2019
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At time ti
, the kinetic energy of a particle is
41.1 J and its potential energy is 11.9 J. At
some later time tf , its kinetic energy is 18.2 J and 34.8 J for potential energy
If the potential energy at time tf is 7.54 J,
what is the work done by the nonconservative
forces acting on the particle?
Answer in units of J.

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Expert Answer

Step 1

The work-energy theorem gives,

K U,+W K+U
Here, K, is the initial kinetic energy of the particle, U, is the initial potential energy of the
particle, W is the work done by the non-conservative force, K, is the final kinetic energy of the
particle, U
is the final potential energy of the particle
Rewriting the above equation,
W K, +U,-(K,+ U,)
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K U,+W K+U Here, K, is the initial kinetic energy of the particle, U, is the initial potential energy of the particle, W is the work done by the non-conservative force, K, is the final kinetic energy of the particle, U is the final potential energy of the particle Rewriting the above equation, W K, +U,-(K,+ U,)

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Step 2

Substitute the values in the above equation consider...

W 18.2 J+34.8 J-41.1 J-7.54 J
=4.36 J
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W 18.2 J+34.8 J-41.1 J-7.54 J =4.36 J

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