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 does the person weigh?
Do you mean 'weight" with a scale in the elevator?
force=mass(9.8+acceleration upward)
To determine the weight of the person in the elevator, we need to take into account the acceleration due to gravity and the additional acceleration caused by the elevator.
Weight is a measure of the force exerted on an object due to gravity. It can be calculated using the formula:
Weight = mass x gravity
where mass is the object's mass and gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2 on the surface of the Earth.
In this case, there are two accelerations to consider: the acceleration due to gravity and the additional acceleration caused by the elevator. The net acceleration acting on the person is the sum of these two accelerations:
Net acceleration = acceleration due to gravity + acceleration of the elevator
Given that the acceleration due to gravity is 9.8 m/s^2 and the acceleration of the elevator is 1.50 m/s^2, we can calculate the net acceleration:
Net acceleration = 9.8 m/s^2 + 1.50 m/s^2 = 11.30 m/s^2
Finally, we can calculate the weight of the person by multiplying their mass by the net acceleration:
Weight = mass x net acceleration
Weight = 65.0 kg x 11.30 m/s^2
Weight = 734.5 N
Therefore, the person weighs approximately 734.5 Newtons.