Calculate the force between two point masses of 50 kg and 100 kg separated by a distance of 10 m. Options: A . &nbsp444.5×10−10 N B . &nbsp3.335×10−9 N C . &nbsp6.67×10−10 N D . &nbsp2.27×10−11 N

Calculate the force between two point masses of 50 kg and 100 kg separated by a

Question

Calculate the force between two point masses of 50 kg and 100 kg separated by a distance of 10 m.

Options:

A . 444.5×10−10 N

B . 3.335×10−9 N

C . 6.67×10−10 N

D . 2.27×10−11 N

Answer: Option B
:
B
Given, mass of first body,

m_{1} = 50 k g

and mass of second body,

m_{2} = 100 k g

Distance between the two masses is,

r = 10 m

.
According to Universal law of gravitation, force of attraction between two bodies is

F = \frac{G m_{1} m_{2}}{r^{2}}

where,

G

is the gravitational constant and

G = 6.67 \times 10^{- 11} N m^{2} k g^{- 2}

∴

F = \frac{6.67 \times 10^{- 11} \times 50 \times 100}{10^{2}}

\Rightarrow

F = 33.35 \times 10^{- 10}

\Rightarrow

F = 3.335 \times 10^{- 9}

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