Answer:
[tex]\boxed {\boxed {\sf 25 \ Watts}}[/tex]
Explanation:
Power is the work done divided by the time. It can be found using the following formula.
[tex]P=\frac{F*D}{T}[/tex]
The force is 50 Newtons, the distance is 10 meters, and the time is 20 seconds.
[tex]F= 50 \ N \\D= 10 \ m \\T= 20 \ s[/tex]
Substitute the values into the formula.
[tex]P=\frac{50 \ N * 10 \ m}{20 \ s }[/tex]
Multiply the numerator first.
[tex]P=\frac{500 \ N*m}{20 \ s}[/tex]
- 1 Newton meter is equal to 1 Joule.
- Therefore, the numerator is equal to 500 Joules.
[tex]P= \frac{500 \ J}{20 \ s}[/tex]
Divide.
[tex]P= 25 \ J/s[/tex]
- 1 Joule per second is equal to 1 Watt.
- Our answer is equal to 25 W
[tex]P= 25 \ W[/tex]
It takes 25 Watts to lift a 50 Newton object 10 meters high in 20 seconds.
