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Natasha2012 [34]
3 years ago
5

An engine moves a motorboat through water at a constant velocity of 22 meters/second. If the force exerted by the motor on the b

oat is 5.75 × 103 newtons, what is the power of the motor? A. 7.9 × 104 watts B. 1.3 × 105 watts C. 2.5 × 105 watts D. 3.7 × 105 watts E. 5.0 × 105 watts
Physics
1 answer:
trapecia [35]3 years ago
6 0

Answer: Option B: 1.3×10⁵ W

Explanation:

Power = \frac{Work \hspace{1mm} done}{Time}

P=\frac{W}{t}

Work Done, W= F.s

Where s is displacement in the direction of force and F is force.

\Rightarrow P = \frac{F.s}{t} =F \times \frac{s}{t}=F.v

where, v is the velocity.

It is given that, F = 5.75 × 10³N

v = 22 m/s

P = 5.75 × 10³N×22 m/s = 126.5 × 10³ W ≈1.3×10⁵W

Thus, the correct option is B

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