A machine that uses 200 watts of power moves an object to a distance of 15 m in 25 seconds. Find the force needed and the work done by this machine.

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Solution

Power $= \frac{w o r k}{t i m e} = \frac{F o r c e \times d i s p l a c e m e n t}{t i m e}$

$F o r c e = \frac{p o w e r \times t i m e}{d i s p l a c e m e n t}$

$F = \frac{200 \times 25}{15} = 333.33 N$

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A machine that uses 200 watts of power moves an object to a distance of 15 m in 25 seconds. Find the force needed and the work done by this machine.

Power=worktime=Force×displacementtimeForce=power×timedisplacementF=200×2515=333.33N

Power $= \frac{w o r k}{t i m e} = \frac{F o r c e \times d i s p l a c e m e n t}{t i m e}$

$F o r c e = \frac{p o w e r \times t i m e}{d i s p l a c e m e n t}$

$F = \frac{200 \times 25}{15} = 333.33 N$