Newton's Laws — Pushing a box horizontally on a surface

In summary, the problem involves applying a force of 12.8 N to a 490 g box at rest on a horizontal surface with a friction force of 11.2 N. Using Newton's Second Law, the acceleration of the box can be calculated by subtracting the friction force from the applied force and dividing by the mass of the box. This results in an acceleration of 3.27 m/s^2.
  • #1
adams_695
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1
Homework Statement
You apply a force of 12.8 N horizontally to a 490 g box that is at rest on a horizontal surface. The friction force between the box and table is 11.2 N. What is the magnitude of the acceleration of the box? (answer to two decimal places. Use m/s^2 as units)
Relevant Equations
Newtons Laws
unsure what process to tackle it.
 
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  • #2
adams_695 said:
Problem Statement: You apply a force of 12.8 N horizontally to a 490 g box that is at rest on a horizontal surface. The friction force between the box and table is 11.2 N. What is the magnitude of the acceleration of the box? (answer to two decimal places. Use m/s^2 as units)
Relevant Equations: Newtons Laws

unsure what process to tackle it.
Which of Newton’s laws looks appropriate?
 
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  • #3
haruspex said:
Which of Newton’s laws looks appropriate?

would say second Law. am I right in stating that it's just as simple as the 12.8 - 11.2N friction then dividing by .490kg mass?

which rounded to two decimals equals 3.27m/s^2?
 
  • #4
adams_695 said:
would say second Law. am I right in stating that it's just as simple as the 12.8 - 11.2N friction then dividing by .490kg mass?

which rounded to two decimals equals 3.27m/s^2?
Yes.
 
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  • #5
haruspex said:
Yes.

thank you
 

Related to Newton's Laws — Pushing a box horizontally on a surface

1. What are Newton's Laws?

Newton's Laws are three laws of motion developed by Sir Isaac Newton that describe the relationship between an object's motion and the forces acting upon it.

2. How do Newton's Laws apply to pushing a box horizontally on a surface?

Newton's Laws apply to pushing a box horizontally on a surface by explaining the forces involved in the motion of the box. The first law states that an object at rest will remain at rest unless acted upon by an external force. The 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. And the third law states that for every action, there is an equal and opposite reaction. In the case of pushing a box, the force applied by the person's hand is the action, and the box's movement in the opposite direction is the reaction.

3. What is the relationship between force and acceleration according to Newton's Second Law?

Newton's Second Law states that force and acceleration are directly proportional. This means that the greater the force applied to an object, the greater its acceleration will be. Conversely, a smaller force will result in a smaller acceleration. This relationship can be expressed mathematically as F=ma, where F is force, m is mass, and a is acceleration.

4. Can the motion of a box be affected by multiple forces?

Yes, the motion of a box can be affected by multiple forces. According to Newton's Second Law, the net force acting on an object is equal to its mass multiplied by its acceleration. This means that the combined effect of all forces acting on the box will determine its overall acceleration and subsequent motion.

5. How does friction play a role in pushing a box horizontally on a surface?

Friction is a force that opposes motion and is present whenever there are two surfaces in contact with each other. When pushing a box horizontally on a surface, friction acts in the opposite direction of the applied force and can make it more difficult to move the box. This is because friction converts some of the applied force into heat and sound energy. The amount of friction can be reduced by using lubricants or by reducing the roughness of the surfaces in contact.

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