Question

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

Answer 1

`\boxed {\boxed {\sf 25 \ Watts}}`

Step-by-step explanation:

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

`P=(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=(50 \ N * 10 \ m)/(20 \ s )`

Multiply the numerator first.

`P=(500 \ N*m)/(20 \ s)`

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

`P= (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.