Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Gravitational potential energy

A particle of mass 10 {~g} is kept on the surface of a uniform

Question

Medium

Solving time: 3 mins

A particle of mass $10 g$ is kept on the surface of a uniform sphere of mass $100 kg$ and radius $10 cm$ . Find the work to be done against the gravitational force between them, to take the particle far away from the sphere, (you may take
$G = 6.67 \times 1 0^{- 11} Nm^{2} / kg^{2})$
(a) $13.34 \times 1 0^{- 10} J$
(b) $3.33 \times 1 0^{- 10} J$
(c) $6.67 \times 1 0^{- 9} J$
(d) $6.67 \times 1 0^{- 10} J$

Views: 5,641 students

Updated on: Apr 19, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2005

Found 6 tutors discussing this question

Sofia Discussed

A particle of mass

10 g

is kept on the surface of a uniform sphere of mass

100 kg

and radius

10 cm

. Find the work to be done against the gravitational force between them, to take the particle far away from the sphere, (you may take

G = 6.67 \times 1 0^{- 11} Nm^{2} / kg^{2})

(a)

13.34 \times 1 0^{- 10} J

(b)

3.33 \times 1 0^{- 10} J

(c)

6.67 \times 1 0^{- 9} J

(d)

6.67 \times 1 0^{- 10} J

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

E x p . (d)

The initial potential energy of the particle

=

Work done.

U_{i} = - \frac{GM m}{r}

U_{i} = - \frac{6.67 \times 1 0 ^{- 11} \times 100 \times 1 0 ^{- 2}}{0.1}

U_{i} = - \frac{6.67 \times 1 0 ^{- 11}}{0.1} = - 6.67 \times 1 0^{- 10} J

We know that, work done

=

Difference in potential energy

∴ W = Δ U = U_{f} - U_{i}

\Rightarrow W = - U_{i} [∵ U_{f} = 0]

= 6.67 \times 1 0^{- 10} J

Was this solution helpful?

Report

Filo tutor solutions (3)

Learn from their 1-to-1 discussion with Filo tutors.

3 mins

Uploaded on: 4/19/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Ved Parkash

Total classes on Filo by this tutor - 4,615

Teaches : Physics, Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

124

Report

5 mins

Uploaded on: 1/27/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Dayanand Kumar

Total classes on Filo by this tutor - 913

Teaches : Physics, Mathematics, Biology

Connect instantly with this tutor

Connect now

Notes from this class (2 pages)

Download

Was this solution helpful?

150

Report

9 mins

Uploaded on: 10/24/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Furqan Bashir

Total classes on Filo by this tutor - 308

Teaches : Physics, Organic Chemistry, Inorganic Chemistry

Connect instantly with this tutor

Connect now

Was this solution helpful?

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A particle of mass $10 g$ is kept on the surface of a uniform sphere of mass $100 kg$ and radius $10 cm$ . Find the work to be done against the gravitational force between them, to take the particle far away from the sphere, (you may take $G = 6.67 \times 1 0^{- 11} Nm^{2} / kg^{2})$ (a) $13.34 \times 1 0^{- 10} J$ (b) $3.33 \times 1 0^{- 10} J$ (c) $6.67 \times 1 0^{- 9} J$ (d) $6.67 \times 1 0^{- 10} J$
Updated On	Apr 19, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	431
Avg. Video Duration	5 min

Text solutionVerified

Filo tutor solutions (3)

Questions from JEE Mains 2005 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Gravitation in the same exam

Practice more questions from Gravitation

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Filo tutor solutions (3)

Questions from JEE Mains 2005 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Gravitation in the same exam

Practice more questions from Gravitation

Practice questions on similar concepts asked by Filo students

Related books for questions on Gravitation

Previous year question papers