
(a)
The work done by the force acting on the particle and the velocity of the particle.
(a)

Explanation of Solution
Given:
The force acting on the particle is
Formula used:
Write the expression of work done by a particle.
Here,
Write the expression for the work-energy theorem.
Here,
Calculation:
Write the expression for the displacement of the particle.
Here,
Substitute
Substitute
Write the expression for the kinetic energy of the particle.
Here,
Write the expression of the final kinetic energy of the particle.
Here,
Substitute
Rearrange the above expression.
Conclusion:
Thus, the work done is
(b)
The work done by the force acting on the particle and the velocity of the particle.
(b)

Explanation of Solution
Given:
The particle moves along a straight line from point
Calculation:
Write the expression for the displacement of the particle.
Here,
Substitute
Substitute
Rearrange the above expression.
Here,
Conclusion:
Thus, the work done is
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Chapter 6 Solutions
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