The efficiency of a machine is 60% and it is used to raise a load of 150kg through a vertical distance of 2.5m (J = 10m/ ).Find in joules the work done.
If you mean g = 10 m/s^2, then since work = Force * distance,
150*10*2.5/0.60 = ____ J
To find the work done, we need to calculate the amount of energy required to raise the load. The formula for work done is:
work done = force * distance
First, let's find the force required to lift the load. The force can be calculated by dividing the weight of the load by the acceleration due to gravity (g).
weight of the load = mass * acceleration due to gravity
Given:
mass of the load (m) = 150 kg
acceleration due to gravity (g) = 9.8 m/s^2
weight of the load = 150 kg * 9.8 m/s^2
Now, let's calculate the force required to lift the load:
force = weight of the load
Next, we need to calculate the distance. The given vertical distance is 2.5 m.
distance = 2.5 m
Finally, let's calculate the work done using the formula:
work done = force * distance
Plug in the calculated values:
work done = (150 kg * 9.8 m/s^2) * 2.5 m
This will give us the value of work done in joules.
To find the work done by the machine, we can use the formula:
Work = Force x Distance
First, we need to find the force exerted by the machine. The force can be calculated using the formula:
Force = Load x Acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s^2.
So, the force exerted by the machine is:
Force = 150 kg x 9.8 m/s^2
Next, we need to find the distance over which the force is exerted. The given vertical distance is 2.5m.
Now, let's calculate the force and the distance:
Force = 150 kg x 9.8 m/s^2 = 1470 N
Distance = 2.5 m
Now, we can calculate the work done using the formula:
Work = Force x Distance
Work = 1470 N x 2.5 m = 3675 J
Therefore, the work done by the machine is 3675 Joules.