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A body under the action of a force F̅ = 6 î − 8 ĵ + 10k̂, acquires an acceleration of 1 m/s². The mass of this body must be:

1. 10 kg
2. 20 kg
3. 10√2 kg
4. √10 kg

Correct answer: 20 kg

Solution

The magnitude of the force is |F̅| = √(6² + (-8)² + 10²) = √200 = 10√2 N. Using F = ma, the mass m = F/a = (10√2)/1 = 20 kg.

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