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Force Problem

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The only force acting on a 2.4 kg body as it moves along the x axis varies as shown in Fig. 7-33 (attached). The velocity of the body at x = 0 is 4.0 m/s.

(a) What is the kinetic energy of the body at x = 3.0 m?
(b) At what value of x will the body have a kinetic energy of 8.0 J?
(c) What is the maximum kinetic energy attained by the body between x = 0 and x = 5.0 m?

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Solution Summary

The solution uses the area under the graph provided to answer the question of forces and work done.

Solution Preview

We know that work done is given by the change in kinetic energy.
That is,
W = Final KE - Initial KE = (1/2)m vf^2 - (1/2)m vi^2 ....(1)
where vf and vi are the initial and final velocities.

also, we know that the area under the force vs distance curve gives the work done.

We have, m = 2.4 Kg
v at x = 0, = 4 m/s

a) The initial KE = (1/2)m v^2 = 0.5 * 2.4 * 4^2 = ...

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