A-charged-sphere-of-mass-3-10-4-kg-is-suspended-from-a-string-An-electrical-force-acting-horizontally-on-the-sphere-so-that-the-string-makes-an-angle-37-with-the-vertical-when-at-rest-Find-a-magn

Question Number 25254 by NECx last updated on 07/Dec/17

A c h a r g e d s p h e r e o f m a s s 3 \times 10^{- 4} k g i s

s u s p e n d e d f r o m a s t r i n g . A n

e l e c t r i c a l f o r c e a c t i n g h o r i z o n t a l l y

o n t h e s p h e r e s o t h a t t h e s t r i n g

m a k e s a n a n g l e 37 ° w i t h t h e v e r t i c a l

w h e n a t r e s t . F i n d

a) m a g n i t u d e o f t h e e l e c t r i c f o r c e

b) t h e t e n s i o n i n t h e s t r i n g .

Answered by mrW1 last updated on 07/Dec/17

a)

F_{e} = m g \sin θ = 3 \times 10^{- 4} \times 10 \times \frac{3}{4} = 2.25 \times 10^{- 3} N

b)

T = \frac{m g}{\cos θ} = \frac{3 \times 10^{- 4} \times 10}{\frac{4}{5}} = 3.75 \times 10^{- 3} N

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