Two objects P and Q of masses 100kg and 20kg respectively are 1.2m apart on a horizontal surface. Calculate the net gravitational force acting on Q. ([G= 6.67 times 10^{-11} Nm^{2}kg^{-2}])
-
A.
(1.11times 10^{-7} N) towards P -
B.
(1.11times 10^{-7} N) towards Q -
C.
(9.26times 10^{-8} N) towards P -
D.
(9.26times 10^{-8} N) towards Q
Correct Answer: Option D
Explanation
(F= frac{Gm_{1}m_{2}}{r^{2}})
(m_{1} = 100kg)
(m_{2} = 20kg; r =1.2m)
(G= 6.67times 10^{-11})
(F = frac{6.67times 10^{-11}times 100times 20}{(1.2)^{2}} = 9.26times 10^{-8})
The acceleration of each object is inversely proportional to the mass, the lighter object will move a bit faster, hence. the force will act in the direction of Q.