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JAMB Physics 2024 Paper

Question : 63

Total: 125

Solution:

Concept:

The gravitational force obeys the inverse-square law, so changing the distance affects the force by the square of the factor.

Explanation:

The gravitational force is given by

F = \frac{Gm_1m_2}{r^2}

Originally,

F = 10\,\text{N}

when the distance is

r

When the distance is halved, the new distance is

\frac{r}{2}

Substitute into the formula:

F' = \frac{Gm_1m_2}{\left(\frac{r}{2}\right)^2}

F' = \frac{Gm_1m_2}{\frac{r^2}{4}}

F' = 4\left(\frac{Gm_1m_2}{r^2}\right) = 4F

Since

F = 10\,\text{N}

F' = 4 \times 10 = 40\,\text{N}

Answer:

40\,\text{N}

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