Question

Calculate the work if lifting a weight a height of 2 m

Answer 1

The work done in lifting an object to a height of 2 m is equal to two times the weight of the object. W = 2×mg

Explanation:

Consider the mass of object to be m kg. The amount of work done to lift an object depends on the force required and the distance to which force is applied. To lift the object to a height of 2 m; Let F be the amount of force applied.

$W=F\times h$ ..................(1)

Where,

W=Work done

F= Amount of applied force

h=Height to which object is to be lifted

Applied force is equal to the weight of the object. Therefore,

$F = m\times g$ ..............(2)

Where,

m=Mass of the object

g=gravitational acceleration

Substituting (2) in (1), we get

$W=m\times g\times h$

For height = 2 m, $W = m\times g\times 2$

$W=2\times m\times g = 2\times Weight\ of\ object$

The work done in lifting an object to a height of 2 m is equal to twice the weight of the object.