Find the force that the larger box exerts on the smaller box

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To determine the force that the larger box exerts on the smaller box in an elevator scenario, the normal force between the floor and the bottom box is given as 70N, with the masses of the boxes being 9.5kg and 2.5kg. The calculation begins with the application of Newton's second law (f=ma) and requires drawing a free body diagram. The acceleration of the elevator is critical to solving the problem but is not provided, necessitating its calculation based on the known forces and masses. The discussion emphasizes the importance of understanding the direction of the elevator's acceleration for accurate results. Ultimately, the force exerted by the larger box on the smaller box is concluded to be 15N upwards.
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Homework Statement


Two boxes of books are stacked and placed on the floor of an elevator.
the masses of the bottom and top boxes are 9.5kg and 2.5kg respectively. The normal force between the floor and the bottom box is 70N.
Determine the force that the larger box exerts on the smaller box.

Homework Equations


f=ma

The Attempt at a Solution


The answer is 15N {up} . I got 93 N. (9.81m/s^2 *9.5kg)
 
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First, draw a free body diagram.
What is the acceleration of the elevator? And more importantly, what is it's direction?
You've been given the normal force and the mass...
 
billy_joule said:
First, draw a free body diagram.
What is the acceleration of the elevator? And more importantly, what is it's direction?
You've been given the normal force and the mass...
its not given
 
What's not given? The acceleration of the elevator? Clearly that's not given.

You need to find it yourself, it's the second step to solving the problem, after drawing a diagram.
Like I said, you've been given a force and a mass, you've already shown you know how to use Newtons second law and that you know "g". Once you have your diagram solve for aelevator.
 
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