If F = (10 s ) N, where s is in meters, and the contact surface between the bloc

Question

If F = (10 s) N, where s is in meters, and the contact surface between the block and the ground is smooth, determine the power of force F when s = 5 m. Whens = 0, the 30-kg block is moving at v = 1 m/s.

Express your answer to three significant figures and include the appropriate units.

If F = (10 s) N, where s is in meters, and the contact surface between the block and the ground is smooth, determine the power of force F when s = 5 m. Whens = 0, the 30-kg block is moving at v = 1 m/s. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

Here

Initial Force at S = 0

F = 10*0

= 0 N

When S = 5 m

F = 10/5

= 50 N

Therefore

Area of FS = Work Done = 0.5*(0 + 50)*5

= 125 J

Work Done = Change in Kinetic Energy

125 = 0.5*30*(v^2 - 1^2)

v = 3.055 m/sec

Therfore

Power = Force*velocity

= 10*5*3.055

= 152.75 W

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