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Answer :
Explanation:
Given that,
Mass of the astronaut, m = 115 kg
Mass of the capsule, M = 2250 kg
The acceleration of the astronaut, [tex]a=1.5\ m/s^2[/tex]
(a) The force exerted on the astronaut is given by :
F = ma
[tex]F=115\ kg\times 1.5\ m/s^2[/tex]
F = 172.5 N
(b) The force force exerted on the capsule is equal to the force exerted on the astronaut as per Newton's third law of motion. So, the force exerted on the capsule is 172.5 N.
(c) The acceleration of capsule is given by :
[tex]a'=\dfrac{F}{M}[/tex]
[tex]a'=\dfrac{172.5}{2250}[/tex]
[tex]a'=0.076\ m/s^2[/tex]
Hence, this is the required solution.
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