Rankers Physics

Acceleration Due to Gravity and its variation: Practice Problem & Solution

A body weighs $200 \text{ N}$ on the surface of the earth. How much will it weigh half way down to the centre of the earth? (2019)
$150 \text{ N}$
$200 \text{ N}$
$250 \text{ N}$
$100 \text{ N}$

Solution Explained:

To solve this problem, we apply the core principles of Acceleration Due to Gravity and its variation. Understanding the underlying formula is key to arriving at the correct answer below:

The weight at depth $d$ is $W_d = W(1 - \frac{d}{R})$.nGiven $d = \frac{R}{2}$ (halfway to the center), we have $$W_d = 200(1 - \frac{1}{2})$.n$W_d = 200 \times \frac{1}{2} = 100 \text{ N}$$.

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