Physics · LAWS OF MOTION
हिन्दीA constant net force \( \vec{F} = (10 \hat{i} - 6 \hat{j} + 8 \hat{k})\text{ N} \) produces an acceleration of magnitude \( 5\sqrt{2}\text{ m/s}^2 \) in a body. The mass of the body is:
Correct answer · Option 3
2 kg
Explanation
Force magnitude \( |\vec{F}| = \sqrt{10^2 + (-6)^2 + 8^2} = \sqrt{200} = 10\sqrt{2}\text{ N} \). Mass \( m = \frac{|\vec{F}|}{a} = \frac{10\sqrt{2}}{5\sqrt{2}} = 2\text{ kg} \).