A person of mass 65.0 kg is standing on the floor of an elevator. The elevator is accelerating upward at 1.50 m/sec2.
What resultant force acts on the person?
see other post.
To calculate the resultant force acting on the person, we need to consider two forces: the gravitational force and the force due to acceleration.
The gravitational force acting on the person can be calculated using the formula:
Force_gravity = mass * gravitational acceleration
where the gravitational acceleration is approximately 9.8 m/s^2.
Force_gravity = 65.0 kg * 9.8 m/s^2 = 637 N
The force due to acceleration can be calculated using Newton's second law of motion:
Force_acceleration = mass * acceleration
where the acceleration is the acceleration of the elevator, which is given as 1.50 m/s^2.
Force_acceleration = 65.0 kg * 1.50 m/s^2 = 97.5 N
Since the elevator is accelerating upward, the net force acting on the person is the sum of these two forces:
Resultant force = Force_gravity + Force_acceleration
Resultant force = 637 N + 97.5 N = 734.5 N
Therefore, the resultant force acting on the person is 734.5 Newtons (N), directed upward.