Question

What is the effective weight of a person of mass 60 kg carried vertically up in a
rocket with an acceleration of 2g? Draw a properly labelled free-body diagram

Answer 1

Answer on question #61573, Physics, Mechanic, Relativity

What is the effective weight of a person of mass $60\mathrm{kg}$ carried vertically up in a rocket with an acceleration of $2\mathrm{g}$ ? Draw a properly labeled free-body diagram.

Solution:

Write Newton's second law in the vector form

$$\vec {F} = \vec {N} + \vec {W}$$

The equation will look like in the projection on the axis of $+Y$

$$m a = N - m g$$ $$N = m a + m g$$

Where, $a = 2g$

$$N = 2 m g + m g$$

Finally,

$$N = 3 m g = 3 \cdot 6 0 k g \cdot 9. 8 \frac {m}{s ^ {2}} = 1 7 6 4 N$$

Answer: 1764 N

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