Oliver has a mass of 79.6 kg. He is riding in an elevator that has a downward acceleration of 1.60 m/s2. With what magnitude force does the elevator floor push upward on Oliver?
force=mg-ma
To find the magnitude of the force with which the elevator floor pushes upward on Oliver, we need to use Newton's second law of motion. It states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
- Mass of Oliver, m = 79.6 kg
- Downward acceleration of the elevator, a = 1.60 m/s^2
Now, we can calculate the force using the formula:
Force = mass * acceleration
Substituting the given values into the formula:
Force = 79.6 kg * 1.60 m/s^2
Multiply the mass and the acceleration:
Force = 127.36 kg·m/s^2
Therefore, the magnitude of the force with which the elevator floor pushes upward on Oliver is 127.36 N (rounded to two decimal places).