To determine the total work done, we can use the formula:
Work = Force x Distance
First, let's calculate the total mass of the skip and the rope:
Total mass = Mass of skip + Mass of rope
Total mass = 300 kg + (2 kg/m x 100 m)
Total mass = 500 kg
Since the force exerted by the rope is equal to the tension in the rope, we can calculate the average tension in the rope using the formula:
Tension = Total mass x g
Tension = 500 kg x 9.81 m/s^2
Tension = 4905 N
Next, we can calculate the total work done:
Work = Tension x Distance
Work = 4905 N x 100 m
Work = 490500 J
Therefore, the total work done to hoist the skip vertically through a distance of 100m is 490500 Joules.
To determine the power required, we can use the formula:
Power = Work / Time
Given that it takes 2 minutes to hoist the skip, we need to convert this time to seconds:
Time = 2 minutes x 60 seconds/minute
Time = 120 seconds
Power = 490500 J / 120 s
Power ≈ 4087.5 W
Therefore, the power required to hoist the skip vertically through a distance of 100m in 2 minutes is approximately 4087.5 Watts.
A rope is used to hoist a skip with a 300kg mass,vertically through a distance of 100m.the mass of the rope is 2kg/m.draw the force distance curve and then determine
The total work done
The average tension in the rope
The power required if it takes 2minutes to hoist the skip
1 answer