(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below.

Find the work done by the force on the object as it moves as follows:

(a) from x = 0 to x = 4.00 m

(b) from x = 5.00 m to x = 10.0 m

(c) from x = 11.0 m to x = 15.0 m.

(d) If the object has a speed of 0.500 m/s at x = 0, find:

speed at x = 5.00 m

speed at x = 15.0 m

3. The attempt at a solution

a. W=2.5N (4m) / 2 = 5J

b. W=3N (5m) = 15J

c. W=2.5N (4m) / 2 = 5J

d. W=1/2 mv^{2}- 1/2 mvo^{2}

x=5m 15J = 3kg v - (3kg)(0.500m/s)

v=2.29 m/s

x=15m 0=3kg v - (3kg)(0.500m/s)

v=0.5 m/s

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# Finding velocities in F vs x graph

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