Newton's Second law: Pushing the box

In summary, the question asks how much force is needed to push a 20 kg box at 0.5 m/s against a frictional resistance of 4 N. According to the formula Fnet = m.a, since the velocity is constant, the acceleration is 0. This means that the net force should also be 0, which doesn't make sense. However, the purpose of the exercise is to find the formula by analyzing the problem and drawing a Free Body Diagram. By doing so, it can be seen that the applied force needs to be 4 N to balance out the frictional resistance.
  • #1
aatari
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3
Can someone please help me solve this question below.

1. Homework Statement

How much force is needed to push a 20 kg box across a floor at a constant speed of 0.5 m/s [forward] against a frictional resistance of 4 N?

Homework Equations


Fnet = m.a

The Attempt at a Solution


Since the velocity is constant, the acceleration will be 0. If that is correct the net force is going to be 0, which doesn't make any sense.
 
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  • #2
aatari said:
Since the velocity is constant, the acceleration will be 0. If that is correct the net force is going to be 0, which doesn't make any sense.
Why's that? Did you draw the Free Body Diagram?
 
  • #3
aatari said:
If that is correct the net force is going to be 0, which doesn't make any sense.
The "net" force is zero. You are asked to find the force that needs to be "applied" to the box.
 
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  • #4
cnh1995 said:
The "net" force is zero. You are asked to find the force that needs to be "applied" to the box.
Is there a formula that I can use to find the "applied force"?
 
  • #5
aatari said:
Is there a formula that I can use to find the "applied force"?
That's the purpose of this exercise: You're meant to find that formula by analyzing the problem using the given information.

As already mentioned, you need to draw the FBD to see how the forces combine.
 
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  • #6
gneill said:
That's the purpose of this exercise: You're meant to find that formula by analyzing the problem using the given information.

As already mentioned, you need to draw the FBD to see how the forces combine.
Is it going to be 4N because the forces have to be balanced?
 
  • #7
aatari said:
Is it going to be 4N because the forces have to be balanced?
Yes.
 
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What is Newton's Second Law?

Newton's Second Law, also known as the Law of Acceleration, states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

How does Newton's Second Law apply to pushing a box?

In the case of pushing a box, the net force acting on the box is the force you exert on it, and the mass is the mass of the box. The acceleration of the box will be directly proportional to the force you exert and inversely proportional to the mass of the box.

What is the formula for Newton's Second Law?

The formula for Newton's Second Law is F=ma, where F is the net force, m is the mass of the object, and a is the acceleration.

How does friction affect Newton's Second Law when pushing a box?

Friction is a force that acts in the opposite direction of motion and can decrease the acceleration of an object. When pushing a box, the force of friction will act against the force you exert, decreasing the acceleration of the box.

What are some real-life examples of Newton's Second Law?

Some examples of Newton's Second Law in action include pushing a shopping cart, kicking a ball, and riding a bike. In all of these situations, the acceleration of the object is directly related to the force applied and the mass of the object.

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