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)magnitude of the electric force b)the tension in the string.


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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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