What net force is acting on the object along the incline?

Click For Summary

Homework Help Overview

The problem involves an object of mass 2.0 kg sliding down a 69 cm long inclined plane over a duration of 0.90 seconds. The objective is to determine the net force acting on the object along the incline.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration using the equation for displacement and question the correctness of the derived acceleration value. There is also a mention of the missing angle theta and its relevance to the force calculation.

Discussion Status

Some participants have provided guidance on recalculating acceleration, suggesting a correction in the algebraic manipulation of the displacement equation. There is an acknowledgment of a mistake in the calculations, but no consensus on the final answer has been reached.

Contextual Notes

Participants note the absence of the angle theta, which is typically needed for calculating the gravitational component along the incline. This raises questions about the assumptions made in the problem setup.

rculley1970
Messages
28
Reaction score
0
Problem:

An object of mass 2.0kg starts from rest and slides down an inclined plane 69cm long in 0.90s. What net force is acting on the object along the incline?


Now, I used what I was given and plugged it in the equation:

deltaX=1/2at^2 + V0t

I come up with acceleration = .0552 m/s^2

I plug this into equation:

Fnet = ma for a net force of .11N

This is wrong. Am I missing something? I don't have angle theta to use the equation: mgsin(theta).
 
Physics news on Phys.org
rculley1970 said:
Problem:

An object of mass 2.0kg starts from rest and slides down an inclined plane 69cm long in 0.90s. What net force is acting on the object along the incline?


Now, I used what I was given and plugged it in the equation:

deltaX=1/2at^2 + V0t

I come up with acceleration = .0552 m/s^2

I plug this into equation:

Fnet = ma for a net force of .11N

This is wrong. Am I missing something? I don't have angle theta to use the equation: mgsin(theta).


What did you do to get that for an acceleration, that's not what I get when I use your equation.
 
rculley1970 said:

Now, I used what I was given and plugged it in the equation:

deltaX=1/2at^2 + V0t

I come up with acceleration = .0552 m/s^2

Your thinking is correct, the only thing is that the acceleration you've calculated isn't the correct value.

The problem indicates that:

x= 69 cm = 69 * 10-2 m
v0= 0 m/s
t= 0.90 s

Because v0= 0 m/s the equation deltaX=1/2at^2 + V0t becomes:

deltaX=1/2at^2

therefore

2 delta X= at2 so
a= 2 delta X/ t2

Can you get to the right answer now?
 
oops, i messed up the easy algebra and put .5t^2 on the denominator instead of multiplying deltaX by two. Such an easy mistake can kill a problem. Thanks for everyones help.
 

Similar threads

Replies
43
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
30
Views
5K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 28 ·
Replies
28
Views
4K
Replies
10
Views
2K
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K