Question

5900 J of work is done by a machine to pick a mass of 100 kg vertically upwards. Calculate the height to which the mass is lifted​

Answer 1

Explanation:

Work done=5900j

Mass=100kg

We know on taking a particle to a certain height 'h' the potential energy gets stored in it.

Thus the stored potential energy [P] in it is

P=mgh

Where,

m=mass

g=acceleration due to gravity

h=height to which it is taken

So the work done is equal to the potential energy stored

W=P=mgh

5900=100*9.8*h

5900=980h

h=5900/980

h=590/98

h=6.02

Thus, it moves till the height of 6.02m vertically upward

Answer 2

Given,

Amount of work done=5900J

Mass of the object=100kg

To Find,

Height which the mass is lifted.

Solution,

If we take a particle to a certain height 'h' the potential energy gets stored in it.

So, the stored potential energy is P in it is,

P=mgh

Where,

m=mass

g=acceleration due to gravity

h=height to which it is taken

So, the work done is equal to the potential energy stored in it.

W=P=mgh

⇒5900=100×9.8×h

⇒5900=980h

⇒h=5900/980

⇒h=590/98

⇒h=6.02m

Hence, the height to which the mass is lifted is 6.02m.