Solve Force on Wheaties Box from Cheerios Box: Mass, Friction, & Force

Use Newton's Second Law again to find the force applied to the Wheaties box from the Cheerios box.In summary, to find the magnitude of the force on the Wheaties box from the Cheerios box, we need to draw a free body diagram of the two-box system and use Newton's Second Law to find the acceleration. Then, we can draw a free body diagram of just the Wheaties box and use Newton's Second Law again to find the force applied to the Wheaties box from the Cheerios box.
  • #1
mcg5132
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Homework Statement


A box of Cheerios (mass mC = 1.1 kg) and a box of Wheaties (mass mW = 2.9 kg) are accelerated across a horizontal surface by a horizontal force applied to the Cheerios box. The magnitude of the frictional force on the Cheerios box is 2.0 N, and the magnitude of the frictional force on the Wheaties box is 3.5 N. If the magnitude of F is 12 N, what is the magnitude of the force on the Wheaties box from the Cheerios box?



Homework Equations


Fs,max=UsFn
fk=UkFn
F=ma
Fn=mg

The Attempt at a Solution


I'm not entirely sure how to set up this equation, I know F= m1(Ff)-m2(Ff) ... ? Or something along those lines. I'm not sure where to begin really.
 
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  • #2
Draw a free body diagram of two-box system and put in all the forces that you know are there. Use Newton's Second Law to find the acceleration. Then draw a free body diagram of just the Wheaties box.
 

Related to Solve Force on Wheaties Box from Cheerios Box: Mass, Friction, & Force

1. What is the difference between mass and force?

Mass refers to the amount of matter in an object, while force is the push or pull acting on an object. Mass is measured in kilograms, while force is measured in newtons.

2. How does friction affect the force on a Wheaties box from a Cheerios box?

Friction is a force that resists motion between two surfaces in contact. In this scenario, the friction between the two boxes will increase the force needed to move the Wheaties box, as it acts in the opposite direction of the applied force.

3. Can you calculate the force on the Wheaties box without knowing its mass?

No, the force on an object is directly proportional to its mass. Without knowing the mass of the Wheaties box, we cannot accurately calculate the force acting on it.

4. How can we decrease the force required to move the Wheaties box?

To decrease the force on the Wheaties box, we can either decrease its mass or decrease the friction between the two boxes. This can be achieved by using a lubricant or reducing the contact area between the two boxes.

5. Is force the same as weight?

No, force and weight are not the same. Weight is a specific type of force that is caused by gravity pulling an object towards the center of the Earth. Force, on the other hand, can be caused by various factors such as friction, applied force, and gravity.

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