arrow
arrow
arrow
If a body of mass ‘m’ is taken to a height ‘h’ from the surface of earth, the work done will be:
Question

If a body of mass ‘m’ is taken to a height ‘h’ from the surface of earth, the work done will be:

A.

mh

B.

2 mgh

C.

mgh

D.

1/2 mgh

Correct option is C

The correct answer is: (c) mgh

Explanation:
The work done in lifting a body of mass m to a height h from the surface of the Earth is given by the formula:

Work Done=m×g×h\text{Work Done} = m \times g \times hWork Done=m×g×h

Where:

  • m is the mass of the body

  • g is the acceleration due to gravity (approximately 29.8m/s229.8 \, \text{m/s}^229.8m/s2 on the Earth's surface)

  • h is the height to which the body is lifted

Thus, the correct formula for work done is mgh.

Information Booster:

  • Work is defined as the force applied to an object multiplied by the distance over which the force is applied, and in this case, the force is due to gravity.

  • Gravitational Potential Energy (GPE): The work done in lifting a body to a height h is stored as gravitational potential energy.

  • The work done is positive when the force and displacement are in the same direction (lifting the object upwards against gravity).

  • The formula mghmgh assumes that g is constant for small heights (close to Earth's surface), and the effect of height on g is negligible.

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
test-prime-package

Access ‘RPF Constable’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
398k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow