An elephant lifts 300 kg log to a height of 3.0 meters in a time of 4.0 seconds. How much work does she do. How much power is required
To calculate the work done by the elephant, we use the formula:
Work = force × distance
The force can be calculated using the formula:
Force = mass × gravity
Given that the mass of the log is 300 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force as:
Force = 300 kg × 9.8 m/s² = 2940 N (Newtons)
Now, we can calculate the work done by multiplying the force by the distance:
Work = 2940 N × 3.0 m = 8820 J (Joules)
Therefore, the elephant does 8820 Joules of work on the log.
To calculate the power required, we use the formula:
Power = work / time
Given that the work is 8820 J and the time is 4.0 seconds, we can calculate the power as:
Power = 8820 J / 4.0 s = 2205 W (Watts)
Therefore, the power required by the elephant to lift the log is 2205 Watts.