A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is [2022]

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Solution

Q.
A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is [2022]

1 0.05 N/kg

2 50 N/kg

3 20 N/kg

4 180 N/kg

Ans.
(2)

According to universal law of gravitation, gravitational force is

$F = \frac{G M m}{r^{2}} or \frac{F}{m} = \frac{G M}{r^{2}}$ ...(i)

Given that, F = 3.0 N and $m = 60 g = 60 \times 10^{- 3} kg$

We know that, gravitational field intensity at point,

$I_{G} = \frac{G M}{r^{2}}$

$∴$ $From eq. (i), we have: I_{G} = \frac{F}{m} = \frac{3.0}{60 \times 10^{- 3}} = 50$ $N/kg$

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