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Introduction to Force

Two particles...

Question

Two particles are placed at some distance. If the mass of each of the two particles is tripled, keeping the distance between them unchanged, the value of gravitational force between them will be

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Solution

$D e a r S t u d e n t, L e t m_{1} a n d m_{2} b e t h e t w o m a a s e s s e p a r a t e d b y a d i s \tan c e r . I n i t i a l g r a v i t a t i o n a l f o r c e i s, F_{i} = \frac{G m_{1} m_{2}}{r^{2}} . . . . . . . . . . (1) N o w b o t h o f t h e m a s s e s a r e t r i p l e d . T h e n e w f o r c e b e c o m e s, F_{f} = \frac{G \times 3 m_{1} \times 3 m_{2}}{r^{2}} = 9 \times \frac{G m_{1} m_{2}}{r^{2}} = 9 F_{i} . . . . . . . . . . . . . . (F r o m 1) G r a v i t a t i o n a l f o r c e w i l l b e c o m e 9 t i m e s t h e i n i t i a l v a l u e . R e g a r d s .$

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