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

Step-by-step 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* 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* g` ..............(2)

Where,

m=Mass of the object

g=gravitational acceleration

Substituting (2) in (1), we get

`W=m* g* h`

For height = 2 m,
`W = m* g* 2`

`W=2* m* g = 2* 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.