Solving for Time: Piano Falling Down Ramp

AI Thread Summary
To determine how long it takes for a piano to slide down a 3-meter ramp inclined at 20 degrees, the initial velocity is assumed to be 0 m/s, and the relevant equation of motion is Xf = Xi + Vi t + 0.5at^2. The main challenge lies in calculating the acceleration parallel to the ramp, which requires analyzing the forces acting on the piano. A free body diagram can help visualize these forces and derive the correct acceleration. With no friction considered, the solution hinges on accurately determining this acceleration to find the time taken for the piano to reach the bottom.
blee2x2
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You have a piano that you have just pushed to the top of the 3m long ramp that goes into the truck. The ramp is at a 20-degree angle. You think your friend has a grip on it and she think you do when you all let go. How long do you have before the piano gets to the bottom of the ramp? Assume no friction.

1. Homework Statement
How long will it take for the piano at the top of the ramp to get to the bottom of the ramp.
We know the length of the ramp is 3 meter and is angled 20 degrees to the truck. There is no friction.

Can we assume initial velocity is 0m/s?

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.
 
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blee2x2 said:
You have a piano that you have just pushed to the top of the 3m long ramp that goes into the truck. The ramp is at a 20-degree angle. You think your friend has a grip on it and she think you do when you all let go. How long do you have before the piano gets to the bottom of the ramp? Assume no friction.

1. Homework Statement
How long will it take for the piano at the top of the ramp to get to the bottom of the ramp.
We know the length of the ramp is 3 meter and is angled 20 degrees to the truck. There is no friction.

Can we assume initial velocity is 0m/s?

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.
Yes, initial velocity is zero, and that is the right equation to use, but what will the acceleration be?
 
EDIT: Posted before seeing post #2

blee2x2 said:
Can we assume initial velocity is 0m/s?

Yes, I would think so.

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.

That equation will work.

The hard part is finding a (acceleration parallel to the ramp). Have you drawn a free body diagram of the piano?
 

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