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Physics

Mechanics

Easy

Question

A point mass m₀ is placed at distance R/3 from the centre of a spherical shell of mass m and radius R. The gravitational force on the point mass m₀ is -

$\frac{4 {Gmm}_{0}}{R^{2}}$
Zero
$\frac{9 Gmm}{R^{2}}$
None of these

The correct answer is: Zero

Gravitational field is zero inside the shell
So force will be zero.

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$text The gravitational field in a region is end text 10 straight N divided by kg left parenthesis i with not stretchy hat on top minus j with not stretchy hat on top right parenthesis. text The work done by end text g r a v i t a t i o n a l space f o r c e space t o space s h i f t space s l o w l y space a space p a r t i c l e space o f space m a s s space 1 space k g space f r o m space p o i n t space left parenthesis 1 m comma space 1 m right parenthesis space t o space a space p o i n t space left parenthesis 2 m comma space minus 2 m right parenthesis space i s space space space space space$

$text The gravitational field in a region is end text 10 straight N divided by kg left parenthesis i with not stretchy hat on top minus j with not stretchy hat on top right parenthesis. text The work done by end text g r a v i t a t i o n a l space f o r c e space t o space s h i f t space s l o w l y space a space p a r t i c l e space o f space m a s s space 1 space k g space f r o m space p o i n t space left parenthesis 1 m comma space 1 m right parenthesis space t o space a space p o i n t space left parenthesis 2 m comma space minus 2 m right parenthesis space i s space space space space space$

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There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero?

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A spherical hole is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre of the hole due to the remaining mass is –

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$T w o space l e a d space s p h e r e s space o f space s a m e space r a d i u s space a r e space i n space c o n t a c t space w i t h space e a c h space o t h e r. space T h e space g r a v i t a t i o n a l space f o r c e space o f space a t t r a c t i o n space b e t w e e n space t h e m space i s space F. space I f space t w o space l e a d space s p h e r e s space o f space d o u b l e space t h e space p r e v i o u s space r a d i u s space a r e space i n space c o n t a c t space w i t h space e a c h space o t h e r comma space t h e space g r a v i t a t i o n a l space f o r c e space o f space a t t r a c t i o n space b e t w e e n space t h e m space w i l l space b e$

$T w o space l e a d space s p h e r e s space o f space s a m e space r a d i u s space a r e space i n space c o n t a c t space w i t h space e a c h space o t h e r. space T h e space g r a v i t a t i o n a l space f o r c e space o f space a t t r a c t i o n space b e t w e e n space t h e m space i s space F. space I f space t w o space l e a d space s p h e r e s space o f space d o u b l e space t h e space p r e v i o u s space r a d i u s space a r e space i n space c o n t a c t space w i t h space e a c h space o t h e r comma space t h e space g r a v i t a t i o n a l space f o r c e space o f space a t t r a c t i o n space b e t w e e n space t h e m space w i l l space b e$

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$T w o space m e t a l space s p h e r e s space e a c h space o f space r a d i u s space ‘ r ’ space a r e space k e p t space i n space c o n t a c t space w i t h space e a c h space o t h e r. space I f space d space i s space t h e space d e n s i t y space o f space t h e space m a t e r i a l space o f space t h e space s p h e r e comma space t h e n space t h e space g r a v i t a t i o n a l space f o r c e space b e t w e e n space t h o s e space s p h e r e s space i s space p r o p o r t i o n a l space t o$

$T w o space m e t a l space s p h e r e s space e a c h space o f space r a d i u s space ‘ r ’ space a r e space k e p t space i n space c o n t a c t space w i t h space e a c h space o t h e r. space I f space d space i s space t h e space d e n s i t y space o f space t h e space m a t e r i a l space o f space t h e space s p h e r e comma space t h e n space t h e space g r a v i t a t i o n a l space f o r c e space b e t w e e n space t h o s e space s p h e r e s space i s space p r o p o r t i o n a l space t o$

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PhysicsMechanics

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