the evil monkey is using a 1500 W motor to lift a 300 kg piano up 10 m. About how long will it take him?
Answers
Given data : The evil monkey is using a 1500 W motor to lift a 300 kg piano up 10 m.
To find : Time taken by the monkey to lift the piano ?
Solution : A/C to given data;
- Power of the motor, P = 1500 watt
- Mass of the piano, m = 300 kg
- Lifting height/displacement, s = 10 m
Now, firstly we have to find out, force acting on a piano,
➜ Force = mass * acceleration
where, acceleration is acceleration due to gravity {9.8 m/s²}
➜ Force = 300 * 9.8
➜ Force = 2940 N
Now, we have to find out, work done by a force acting on a piano,
➜ Work done (W)= Force * displacement
➜ Work done (W)= 2940 * 10
➜ Work done (W)= 29400 joule
Now, we use formula of power;
➜ Power (P) = rate of doing work
➜ Power (P) = work/time
➜ 1500 = 29400/time
➜ time = 29400/1500
➜ time = 294/15
➜ time= 98/5
➜ time = 19.6 sec
Answer : Hence, time taken by the monkey to lift the piano is 19.6 sec.
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