Question

When two objects of masses 1000kg and100kgplaced 1m away,they attract each other with force of 6.67×10-6N.Find the value of G.

Answer 1

Explanation:

GIVEN DATA:

mass 1= 1000kg

mass 2= 100kg

distance= 1m

F = 6.67×10-⁶

TO FIND:

G = ?

SOLUTION:

we know that:

F= Gm1m2/d²

6.67×10-⁶ = G 1000×100/1²

6.67×10-⁶= G 1000×100/1

6.67×10-⁶= G 100000/1

6.67×10-⁶= G 100000

6.67×10-⁶/100000 = G

6.67 ×10-⁶ / 1×10⁵ = G

6.67×10-⁶-⁵/1 = G

6.67×10-¹¹= G

THEREFORE, THE VALUE OF G= 6.67×10^-¹¹