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A 38.5 kg man is in an elevator accelerating downward. A normal force of 343 N pushes up on him.

What is his acceleration?

Answer :

Final answer:

To find the acceleration of the man in the elevator, apply Newton’s second law which states Force = mass x acceleration. Calculate the net force, which is the difference between the gravitational force and the normal force. Divide the net force by the mass to get the acceleration. The man's acceleration is approximately 0.89 m/s² downward.

Explanation:

To find the acceleration of the man in the elevator, you can use Newton's second law, which is Force = mass x acceleration or F = ma. In this scenario, the force is the net force acting on the man, which is the difference between the gravitational force acting downwards and the normal force acting upwards. The gravitational force can be calculated by the product of the mass and the gravitational constant (9.8 m/s²), and then subtracted by the normal force to find net force. After finding the net force, it can be divided by the mass to get the acceleration.

So, here's a step-by-step calculation:

  1. Firstly, calculate the gravitational force by multiplying the man's mass (38.5 kg) and the gravity constant (9.8 m/s²). That gives us, 38.5 kg * 9.8 m/s² = 377.3 N.
  2. Secondly, subtract the normal force given (343 N) from the gravitational force calculated (377.3 N) to get the net force. That is, 377.3 N - 343 N = 34.3 N.
  3. Last, divide the net force by the mass to get the acceleration. That's, 34.3 N / 38.5 kg = approximately 0.89 m/s² downward.

Therefore, the acceleration of the man in the elevator is approximately 0.89 m/s² downward.

Learn more about Newton's Second Law here:

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Rewritten by : Barada

Answer:

-0.891

Explanation:

negative because downward