Question

Freely falling objects fall with the same acceleration while neglecting air resistance because:

• A. the gravitational force is the same on each
• B. their weights are equal
• C. the ratio of weight to mass for all objects is a constant
• D. the ratio of force to acceleration for all objects is a constant
• E. the inertia of all objects is the same

Answer 1

Answer: (B), (C)

The correct options are
B their weights are equal
C the ratio of weight to mass for all objects is a constant

Let $W$ be the weight of the body and $m$ be its mass.

When object will free fall, its weight become zero.

$\therefore$ $W=mg$ (due to gravity)

Acceleration of the body $a=\frac{W}{m}=\frac{mg}{m}=g=$ constant

$⟹$ All free falling objects have the same acceleration.

Hence option C is correct.