A object of mass 3.00 kg is subject to a force F x that varies with position as

Question

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

(a) Find the work done by the force on the object as it moves from x = 0 to x = 2.00 m

_______ J

(b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 9.00 m

________J

(c) Find the work done by the force on the object as it moves from x = 14.0 m to x = 15.0 m.

__________ J

(d) If the object has a speed of 0.500 m/s at x = 0, find its speed at x = 5.00 m and its speed at x = 15.0 m.

speed at x = 5.00 m     _______m/s

speed at x = 15.0 m    ________m/s

A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below. (a) Find the work done by the force on the object as it moves from x = 0 to x = 2.00 m _______ J (b) Find the work done by the force on the object as it moves from x = 5.00 m to x = 9.00 m ________J (c) Find the work done by the force on the object as it moves from x = 14.0 m to x = 15.0 m. __________ J (d) If the object has a speed of 0.500 m/s at x = 0, find its speed at x = 5.00 m and its speed at x = 15.0 m. speed at x = 5.00 m _______m/s speed at x = 15.0 m ________m/s

Explanation / Answer

a) W = 0.5*2*1 = 1 J

b) W = 4* 3 = 12 J

c) W = 0.5*1*0.5 = 0.25 J

d)

0.5*3*(v*v - 0.25) = 0.5*5*3

v = 2.29 m/s

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