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

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In summary, the problem involves two boxes of books stacked in an elevator with masses of 9.5kg and 2.5kg respectively. The normal force between the floor and the bottom box is 70N. Using Newton's second law (F=ma), the force exerted by the larger box on the smaller box is determined to be 15N upwards, with an acceleration of 9.81m/s^2. The direction of the elevator's acceleration is not given and needs to be calculated using the given information.
  • #1
rrosa522
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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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  • #2
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...
 
  • #3
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
 
  • #4
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.
 

1. What is the definition of force?

Force is a physical quantity that describes the interaction between two objects. It is measured in Newtons (N) and has both magnitude and direction.

2. How is force calculated?

Force is calculated by multiplying an object's mass by its acceleration, according to the equation F=ma. This means that the greater the mass of an object or the greater its acceleration, the greater the force will be.

3. What factors determine the force exerted by one object on another?

The force exerted by one object on another is determined by the mass of the objects, the distance between them, and the type of force acting between them (such as gravitational or electromagnetic force).

4. How do you find the force between two objects when the masses are different?

To find the force between two objects when the masses are different, you can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. This means that the force will be greater on the object with the greater mass.

5. How does the force between two objects change when the distance between them changes?

The force between two objects is inversely proportional to the square of the distance between them. This means that as the distance between two objects decreases, the force between them increases, and vice versa.

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