Find the initial acceleration of a rocket if the astronauts onboard experience eight times their normal weight during an initialvertical ascent. (Hint

alesterp

alesterp

Answered question

2021-02-11

Find the initial acceleration of a rocket if the astronauts onboard experience eight times their normal weight during an initialvertical ascent. (Hint: In this exercise, the scale force isreplaced by the normal force.)
i need to know how the equation to solve this problem gotderived. and the answer is 68.6ms2

Answer & Explanation

hajavaF

hajavaF

Skilled2021-02-12Added 90 answers

Make a free body diagram of the astronaut being accelerated to start. You are subject to the forces of gravity and upward motion (down).
You are informed that the astronaut would suffer a force eight times his weight, which is equivalent to the sum of the upward and gravitational forces.
We solve:
F=ma
F up+mg=8mg
Fup=7mg
Substitute Newton's law into our equation, we get:
ma=7mg, which reduces to a=7g=(7)(9.81)=68.67ms2

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