How Far Will the Glass Travel After Falling Off the Bar?

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A bartender slides a glass of beer with an initial velocity of 2 m/s down a 3 m bar, facing a kinetic friction coefficient of 0.05. The frictional force calculated is 0.25 N, affecting the glass's motion before it falls. The total distance traveled by the glass when it hits the ground is expressed as (3 + x), where x is the distance from the bar to the impact point. To solve the problem, one must determine the final velocity at the edge of the bar and apply projectile motion equations. Understanding these dynamics is crucial for accurately predicting how far the glass will travel after falling.
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Kinematics/Dynamic Question!

Homework Statement



A bartender slides a glass of beer down a bar with an initial velocity of 2m/s. The coefficient of kinetic friction of the bar is 0.05 and the length of the bar is 3m and the height of the bar is 1m. The mass of the beer is 0.5kg. How far from the bar will the glass hit the ground?

Homework Equations

Not sure which equation to use.

The Attempt at a Solution



I tried to find out the frictional force and its 0.25N after drawing a free body diagram for the glass of beer. I named the distance we have to find from the bar when the glass hits the ground x. Therefore, the total distance traveled by the bar will be (3+x).

I'm stuck after that.

Thank you for anyone who can help me!
 
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Dynamic
You have initial velocity.
There is a force that changes this velocity.
Find the final velocity at the edge of the table.

Kinematic
Use projectile equations.
 
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