What is your average power if you lift a 33.8 kg box at a constant speed to a height of 3.27 m in 6.10 s?
Force = 9.81 * 33.8
power = force * distance / time
power = 9.81 * 33.8 * 3.27 / 6.1 Watts
To find the average power, we need to use the formula:
Average Power = Work / Time
The work done in lifting the box can be calculated using the formula:
Work = Force x Distance
The force can be calculated using the formula:
Force = Mass x Acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s².
First, let's calculate the force:
Force = 33.8 kg x 9.8 m/s²
= 331.24 N
Now, let's calculate the work:
Work = Force x Distance
= 331.24 N x 3.27 m
= 1081.1378 J (Joules)
Finally, let's calculate the average power:
Average Power = Work / Time
= 1081.1378 J / 6.10 s
≈ 177.3 Watts (W)
So, the average power required to lift the box is approximately 177.3 Watts.