Frictional Forces and Acceleration: Solving for Horizontal Component

In summary, the problem involves two blocks being accelerated across a frictionless surface with the same acceleration. The question asks for the horizontal component of the force of the larger block on the smaller block. Using F=ma, it can be determined that the acceleration is 0.4 m/s^2. This leads to the solution that the horizontal component of the force is 0.4 N to the right. Further guidance may be needed to fully understand the problem and solve it correctly.
  • #1
Pyae
3
0

Homework Statement



Two blocks are accelerated across a horizontal frictionless surface as shown. Frictional forces keep the two blocks from sliding relative to each other, and the two move with the same acceleration. F = 1.2 N and M = 1.0 kg

Homework Equations



what is the horizontal component (frictional force) of the force of the large block on the small block?


The Attempt at a Solution



 

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  • #2
If the acceleration is the same, then the force must change given the masses are different.

Given F = ma

For the lower block, F1 = 2M*a

For the upper block, F2 = M*a

Where M = 1.0kg and F1 = 1.2N

Given a is equal, you can rearrange the two and solve for F2

Please note you are really supposed to supply an attempt at the solution.

Jared
 
  • #3
I know the answer is 0.4 N to the right. I don't know how it gets. But here's what I'm thinking.

i think the given F applies to both blocks, so

F= ma
1.2 = 3M * a
a = 0.4

then F1 = ma = 1 * 0.4 = 0.4 N

I don't know if it makes sense. Can someone give idea and guidance on how to solve this problem?
 

1. What are Newton's three laws of motion?

Newton's first law states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Newton's third law states that for every action, there is an equal and opposite reaction.

2. How does friction affect motion according to Newton's laws?

Friction is a force that opposes motion and it is accounted for in the second law of motion. The greater the friction, the more force is needed to overcome it and maintain motion. Additionally, friction can also cause objects to come to a stop due to the force of friction being greater than the applied force.

3. How is friction calculated in relation to Newton's laws?

The force of friction can be calculated using the formula F = μN, where F is the force of friction, μ is the coefficient of friction, and N is the normal force. The coefficient of friction varies depending on the surfaces in contact and the force of the normal force is perpendicular to the surface of contact.

4. What is the difference between static and kinetic friction?

Static friction is the force that prevents two surfaces from sliding against each other when there is no motion. It can be overcome by increasing the applied force. Kinetic friction, on the other hand, is the force that opposes the motion of two surfaces sliding against each other. It is generally less than static friction and remains constant once an object is in motion.

5. How does Newton's third law apply to friction?

According to Newton's third law, for every action, there is an equal and opposite reaction. In the case of friction, when an object is in motion, the force of friction acts in the opposite direction to the motion. This is because the object exerts a force on the surface it is in contact with and the surface exerts an equal and opposite force back, resulting in the force of friction.

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