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Two objects P and Q of masses 100kg and 20kg re... - WAEC Physics 2018 Question

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

\(1.11\times 10^{-7} N\) towards P

B

\(1.11\times 10^{-7} N\) towards Q

C

\(9.26\times 10^{-8} N\) towards P

D

\(9.26\times 10^{-8} N\) towards Q

correct option: d

\(F= \frac{Gm_{1}m_{2}}{r^{2}}\)

\(m_{1} = 100kg\)

\(m_{2} = 20kg; r =1.2m\)

\(G= 6.67\times 10^{-11}\)

\(F = \frac{6.67\times 10^{-11}\times 100\times 20}{(1.2)^{2}} = 9.26\times 10^{-8}\)

The acceleration of an object is inversely proportional to its mass. Hence, the lighter the object the faster it can move... the force will act in the direction of Q.

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