Question 343: Gravitation

Question

A body weighs $$300 \mathrm{~N}$$ on the surface of the earth. How much will it weigh at a distance $$\frac{R}{2}$$ below the surface of earth? ( $$R \rightarrow$$ Radius of earth)

Accepted Answer

Acceleration due to gravity at depth d,
$$\begin{aligned}
g_d & =g\left(1-\frac{d}{R}ight) \
& =g\left(1-\frac{1}{2}ight) \quad \because d=\frac{R}{2} \
& =\frac{g}{2}
\end{aligned}$$
$$	herefore \quad$$ Weight of the body at depth $$\mathrm{d}_1$$
$$\mathrm{W}_{\mathrm{d}}=\mathrm{mg}_{\mathrm{d}}=300 	imes \frac{1}{2}=150 \mathrm{~N}$$

Answer

$$300 \mathrm{~N}$$

Answer

$$250 \mathrm{~N}$$

Answer

$$200 \mathrm{~N}$$

Answer

$$150 \mathrm{~N}$$

Gravitation

A body weighs $300 \mathrm{~N} on the surface of the earth. How much will it weigh at a distance \frac{R}{2} below the surface of earth? ( R \rightarrow$ Radius of earth)

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