Newton's Second law: Pushing the box

Click For Summary
To push a 20 kg box across a floor at a constant speed of 0.5 m/s against a frictional resistance of 4 N, an applied force of 4 N is required. Since the box moves at a constant velocity, its acceleration is zero, leading to a net force of zero. This means the applied force must exactly balance the frictional force. Drawing a Free Body Diagram (FBD) can help visualize how the forces interact. The solution emphasizes understanding the relationship between applied force and friction in this context.
aatari
Messages
73
Reaction score
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.
 
Physics news on Phys.org
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?
 
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.
 
  • Like
Likes Chestermiller
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"?
 
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.
 
  • Like
Likes cnh1995
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?
 
aatari said:
Is it going to be 4N because the forces have to be balanced?
Yes.
 
  • Like
Likes aatari

Similar threads

Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 20 ·
Replies
20
Views
3K
Replies
44
Views
3K
  • · Replies 10 ·
Replies
10
Views
5K