Question

Calculate the work done in lifting a box weighing 150 kg through a vertical height of 7 meters (take g =10 ms2

Answer 1

Given

mass = 150 kg

height = 7 m

acceleration due to gravity = 10 m/s^2

to find

work done = ?

solution

Work done = mgh

= 150 × 7 × 10

= 10500 J

so work done is 10500 J

Answer 2

Given,

Mass of a box = 150 Kg

The vertical height where the box is lifted to = 7 m

Acceleration due to gravity = g = 10 m/s^2

To find,

Total work done in lifting the box through the vertical height.

Solution,

We can simply solve this numerical problem by using the following process:

Mathematically,

Work done (W)

Work done (W)= Mass of the object (m) x acceleration due to gravity(a) x height (h)

Now,

Total work done in lifting the box through the vertical height

= Mass of the box (m) x acceleration due to gravity(a) x vertical height (h)

= 150 Kg x 10 m/s^2 x 7 m

= 10,500 Nm = 10,500 J = 10.5 KJ

Hence, the total work done in lifting the box through the vertical height is equal to 10.5 KJ.