AIPMT Mains 2009 Physics Force and Acceleration MCQ Question with Solution

A body, under the action of a force $\vec{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}$ , requires an acceleration of 1 m/s². The mass of this body must be:

A

10 kg

B

20 kg

C

10√2 kg

D

2√10 kg

Correct Answer

Option C

Detailed Explanation

The magnitude of the force is calculated using $F = \sqrt{6^2 + (-8)^2 + 10^2} = 10√2$ . Using $F = ma$ , the mass is $m = \frac{F}{a} = 10√2$ kg.

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