Question

The earth attracts two objects A and B placed at same distance from its centre with same force. Prove that their masses are equal.​

Answer 1

Answer:

Explanation:

Let the two bodies have masses m1 and m2 and they are placed at the same distance R from the centre of the earth. According to the question, if the same force acts on both of them, then

   F1 =  

G

M

m

1

 

R

2

 

GMm1 R2  

   F2 =  

G

M

m

2

 

R

2

 

GMm2 R2  

As,     F1 = F2

Hence, =  

G

M

m

1

 

R

2

 

GMm1 R2  =  

G

M

m

2

 

R

2

 

GMm2 R2  

So, m1 = m2 their masses will be same.

Answer 2

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