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

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An object of mass 2.0 kg slides down a 69 cm incline in 0.90 seconds, prompting a calculation of the net force acting on it. The initial calculation of acceleration was incorrect due to a misapplication of the formula, specifically in the algebraic manipulation. The correct approach involves using the equation deltaX = 1/2at^2, leading to the acceleration being calculated as a = 2 * deltaX / t^2. This adjustment reveals that the net force can be accurately determined using Fnet = ma. The discussion highlights the importance of careful algebra in physics problem-solving.
rculley1970
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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).
 
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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