Two men lifted a total mass of 653.2 kg approximately 4 in. off the ground a total of 24 times. Estimate the total mechanical work done by the two men in lifting the boat 24 times, assuming they applied the same force to the boat during each lift. (Neglect any work they may have done allowing the boat to drop back to the ground
Total work=liftheight*g*times lifted*massboat.
watch your units.
15363.26J
To estimate the total mechanical work done by the two men, we can use the following formula:
Work = Force x Distance
First, let's calculate the distance lifted by the boat each time. Since the boat was lifted approximately 4 inches off the ground, we need to convert this to meters.
1 inch = 0.0254 meters
So, 4 inches = 4 x 0.0254 = 0.1016 meters
Since the boat was lifted 24 times, the total distance lifted would be:
Total distance = Distance lifted x Number of lifts
Total distance = 0.1016 meters x 24 = 2.4384 meters
Next, we need to determine the force applied to lift the boat. We're given the total mass lifted by the two men, which is 653.2 kg. Since two men are lifting the boat together, we divide this mass by 2 to get the individual mass lifted by each man:
Mass per man = Total mass / Number of men
Mass per man = 653.2 kg / 2 = 326.6 kg
Now, we can use the following formula to calculate the force exerted by each man:
Force = Mass x Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2.
Force = 326.6 kg x 9.8 m/s^2 = 3201.48 N (approximately)
Since both men applied the same force, we multiply this by 2 to get the total force applied:
Total force = Force per man x Number of men
Total force = 3201.48 N x 2 = 6402.96 N
Finally, we can calculate the total mechanical work done by the two men:
Work = Force x Distance
Work = 6402.96 N x 2.4384 meters = 15,612.94 Joules
Therefore, the estimated total mechanical work done by the two men in lifting the boat 24 times is approximately 15,612.94 Joules.