What is the force of the track on the block at A?

In summary, the question is asking for the force exerted by the track on the block at point A, given a block of mass 1.3 kg sliding down a frictionless track with a height of 4m and a radius of curvature of 1m. The solution requires using Newton's second law in the vertical direction to find the vertical acceleration at point A and considering the forces at play at that point.
  • #1
toastie
46
0

Homework Statement


A block of mass m=1.3 kg slides down a frictionless track, as in the attachment diagram. The block is released at height h=4m. The radius of the curvature of the track at the bottom is R=1m. What is the force of the track on the block at A?

Untitled.jpg


Homework Equations


Fg+N=0


The Attempt at a Solution


I assumed that the track would be applying the normal force on the block, but the block does have some velocity and acceleration once it hits the bottom of the track, but I am not sure how to incorporate those.
 
Physics news on Phys.org
  • #2
Is the track a half pipe like track? Either way you have to take the centripetal force into account.
 
  • #3
The track goes down and then stops at B.
 
  • #4
That may be, but you're asking what happens in a point A, since I cannot see the picture I don't know exactly how the track looks like. It is doubtful that it matters though I will say it again, centripetal force!
 
  • #5
toastie said:
A block of mass m=1.3 kg slides down a frictionless track, as in the attachment diagram. The block is released at height h=4m. The radius of the curvature of the track at the bottom is R=1m. What is the force of the track on the block at A?

Hi toastie! :smile:

You need to use good ol' Newton's second law in the vertical direction … F = ma …

so what is the vertical acceleration (at point A)?

and how many forces are there at A? :wink:
 

1. What is the force that causes a block to slide down a track?

The force that causes a block to slide down a track is gravity. This force pulls the block towards the center of the earth, causing it to accelerate downward.

2. How does the angle of the track affect the speed of the block?

The angle of the track affects the speed of the block by changing the force of gravity acting on the block. A steeper angle will result in a greater force of gravity, causing the block to accelerate faster down the track.

3. What role does friction play in a block sliding down a track?

Friction plays a crucial role in a block sliding down a track. It is the force that opposes the motion of the block and slows it down. Without friction, the block would continue to slide down the track at a constant speed.

4. How does the mass of the block affect its motion down the track?

The mass of the block affects its motion down the track by determining the amount of force needed to accelerate the block. A heavier block will require more force to accelerate, while a lighter block will require less force.

5. What factors can affect the acceleration of a block sliding down a track?

The acceleration of a block sliding down a track can be affected by several factors including the angle of the track, the mass of the block, and the presence of friction. Other factors such as air resistance and the surface of the track can also play a role in the acceleration of the block.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
20
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
2K
  • Introductory Physics Homework Help
Replies
12
Views
930
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
2K
  • Introductory Physics Homework Help
Replies
15
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
6K
  • Introductory Physics Homework Help
Replies
7
Views
1K
Back
Top