Question

Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses m, = 1 kg and m2 = 4 kg separated through a distance l = 3 m? Solution​

Answer 1

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Question



Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses m1=1 kg and m2=4 kg separated through a distance l=3m?

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Solution



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Let the gravitational field intensity due to the point masses m1 and m2 be zero at P.

⇒gP=0⇒∣g1+g2∣=0

⇒g1=g2 (numerically)

⇒x2Gm1=(l−x)2Gm2

⇒x2l=(3−x)24

⇒x3−x=±2

⇒3−x=−2x or, 3−x=+2x

⇒

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Answer 2

Here is the answer -20.01*10^11 j/kg