Question

1. choose the best answer. which of these has the greater gravitational pull? a b

Explanation:

Step1: Recall Gravitational Pull Formula

Gravitational pull (force) between two objects is given by \( F = G\frac{m_1m_2}{r^2} \), but for an object's gravitational pull (weight, when considering pull towards Earth), \( F = mg \). However, when comparing two objects (like the spheres here), if we assume same material (so density \(
ho \) is same), mass \( m=
ho V \), and volume of a sphere \( V = \frac{4}{3}\pi r^3 \). So larger radius (size) means larger mass, hence larger gravitational pull (since \( g \) is constant near Earth).

Step2: Compare Sizes of A and B

From the image, sphere A (both green and blue A) is larger in size (radius) than sphere B (both green and blue B). So mass of A is greater (as \( m \propto r^3 \) for same density). Thus, gravitational pull (weight) of A is greater.

Answer:

A. (the option corresponding to the larger sphere, which is A in the image)