The gravitational potential energy of a body of mass 'm' at the earth&

Question

The gravitational potential energy of a body of mass 'm' at the earth's surface

- m g R_{e}

. Its gravitational potential energy at a height

R_{e}

from the earth's surface will be (Here

R_{e}

is the radius of the earth)

Options:

A . −2mgRe

B . 2mgRe

C . 12mgRe

D . −12mgRe

Answer: Option D
:
D

△ U = U_{2} - U_{1} = \frac{m g h}{1 + \frac{h}{R_{e}}} = \frac{m g R_{e}}{1 + \frac{R_{e}}{R_{e}}} = \frac{m g R_{e}}{2}

\Rightarrow U_{2} - (- m g R_{e}) = \frac{m g R_{e}}{2} \Rightarrow U_{2} = - \frac{1}{2} m g R_{e}

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. In a double star system of two stars of masses m and 2m, rotating about their centre of mass. Their time period of rot....rotation about their centre of mass will be proportional to

Question 2. If the period of revolution of an artificial satellite just above the earth's surface is T and the density of earth....and the density of earth is ρ, then ρT2 is

Question 3. Select the correct statement from the following....

Question 4. Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution ....is proportional to R−52, then T2 is proportional to

Question 5. A small body starts falling on to the earth from a distance equal to the radius of the earth's orbit. How long will....of T, period of revolution of the earth round the sun

Question 6. An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius o....velocity of the satellite in the orbit is given by

Question 7. Two satellites of masses m1 and m2(m1>m2) are revolving round the earth in circular orbits of radius r1 and r2(r1>....following statements is true regarding their speeds v1 and v2?

Question 8. The potential at the surface of a planet of mass M and radius R is assumed to be zero. Choose the most appropriate....is assumed to be zero. Choose the most appropriate option

Question 9. A geostationary satellite orbits around the earth in a circular orbit of radius 36,000 km. Then, the time period o....above the earth's surface (Re = 6400 km) will approximately be

Question 10. An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential)energy Eo. Its pote....a total (kinetic + potential)energy Eo. Its potential energy is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0