A 115 kg astronaut on a space walk pushes against her space capsule that has mass 2250 kg. The astronaut accelerates 1.50 m/s2, 0°. (a) Find the force exerted on the astronaut. (b) Find the force exerted on the capsule. (c) Find the acceleration of the capsule.

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To find the force exerted on the astronaut, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = m * a).

(a) Force exerted on the astronaut:
Given:
- Mass of the astronaut (m₁) = 115 kg
- Acceleration (a) = 1.50 m/s²

Using the formula:
F = m * a
F = 115 kg * 1.50 m/s²
F = 172.5 N

Therefore, the force exerted on the astronaut is 172.5 N.

(b) Force exerted on the capsule:
Since the astronaut pushes against the capsule, the force exerted on the capsule will be equal in magnitude but opposite in direction to the force exerted on the astronaut.
Therefore, the force exerted on the capsule is also 172.5 N.

(c) Acceleration of the capsule:
To find the acceleration of the capsule, we can rearrange Newton's second law formula as follows:

F = m * a
a = F / m

Given:
- Force exerted on the capsule (F) = 172.5 N
- Mass of the capsule (m₂) = 2250 kg

Using the formula:
a = 172.5 N / 2250 kg
a ≈ 0.0767 m/s²

Therefore, the acceleration of the capsule is approximately 0.0767 m/s².