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3 years ago

How much power does it take to lift a 50 N object 10 m high in 20 seconds? | and the units.

Physics

1 answer:

Verdich [7]3 years ago

5 0

Answer:

$\boxed {\boxed {\sf 25 \ Watts}}$

Explanation:

Power is the work done divided by the time. It can be found using the following formula.

$P=\frac{F*D}{T}$

The force is 50 Newtons, the distance is 10 meters, and the time is 20 seconds.

$F= 50 \ N \\D= 10 \ m \\T= 20 \ s$

Substitute the values into the formula.

$P=\frac{50 \ N * 10 \ m}{20 \ s }$

Multiply the numerator first.

$P=\frac{500 \ N*m}{20 \ s}$

1 Newton meter is equal to 1 Joule.
Therefore, the numerator is equal to 500 Joules.

$P= \frac{500 \ J}{20 \ s}$

Divide.

$P= 25 \ J/s$

1 Joule per second is equal to 1 Watt.
Our answer is equal to 25 W

$P= 25 \ W$

It takes 25 Watts to lift a 50 Newton object 10 meters high in 20 seconds.

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