How much force does an 88 kg astronaut exert on his chair while accelerating straight up at [tex]10 \, \text{m/s}^2[/tex]?

The force exerted by the astronaut on the chair is 880 Newtons, calculated using Newton's second law of motion (F = ma) with a mass of 88 kg and an acceleration of 10 m/s².
1: Identify the relevant quantities:
Mass of the astronaut (m): 88 kg
Acceleration (a): 10 m/s²
2: Understand the equation:
The force (F) exerted by the astronaut on the chair can be calculated using Newton's second law of motion, which states:
F = ma
where:
F is the net force acting on the object (in Newtons)
m is the mass of the object (in kilograms)
a is the acceleration of the object (in meters per second squared)
3: Apply the equation:
In this case, the only force acting on the astronaut in the upward direction is the force exerted by the chair. Therefore, the net force (F) is equal to the force exerted by the chair.
F = (88 kg) * (10 m/s²)
4: Calculate the force:
F = 880 N
Therefore, the force exerted by the astronaut on his chair is 880 Newtons.

Answered by bamkinbose | 2024-06-19

To calculate the force exerted by the astronaut on the chair, we can use Newton's second law which states that force is equal to mass multiplied by acceleration. In this case, the mass of the astronaut is 88 kg and the acceleration is 10 m/s². So the force exerted by the astronaut on the chair is:
Force = mass × acceleration
Force = 88 kg × 10 m/s²
Force = 880 N
Therefore, the astronaut exerts a force of 880 N on his chair while accelerating straight up at 10 m/s².

Answered by LevonHelm | 2024-06-19

The force exerted by the 88 kg astronaut on his chair while accelerating upwards at 10 m/s² is approximately 1744.68 Newtons. This is calculated using Newton's second law, considering both the force of gravity and the upward acceleration. In total, the combined forces result in the astronaut exerting a significant force on the chair due to the acceleration and weight.
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Answered by bamkinbose | 2024-12-17