A body of mass 20kg dropped from a height of 2m calculate the workdone?
work= mgh
To calculate the work done, we need to use the equation:
Work = Force × Distance × cos(θ)
In this case, the force acting on the body is its weight, which is equal to its mass multiplied by the acceleration due to gravity (9.8 m/s²):
Force = mass × acceleration due to gravity
= 20 kg × 9.8 m/s²
= 196 N
The distance the body is dropped is 2m, so:
Distance = 2 m
Since the body is dropped vertically, the angle (θ) between the force acting on the body and the direction of motion is 0°. Therefore, cos(0°) equals 1.
Cos(θ) = 1
Plugging these values into the equation, we have:
Work = 196 N × 2 m × cos(0°)
= 196 N × 2 m × 1
= 392 J
So the work done on the body is 392 Joules.
Work=mgh
work=mxgxh
work=20x10x2
work=400j