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

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In summary, the problem involves a bartender sliding a glass of beer with an initial velocity of 2m/s down a bar that is 3m long and 1m high. The glass has a mass of 0.5kg and the coefficient of kinetic friction on the bar is 0.05. The question is asking for the distance from the bar where the glass will hit the ground. To solve this, we can use projectile equations and calculate the final velocity at the edge of the table.
  • #1
quack91
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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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  • #2


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.
 
Last edited:

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

1. What is the difference between kinematics and dynamics?

Kinematics is the study of motion without considering the forces that cause the motion, while dynamics is the study of motion and the forces that cause it.

2. What are the three equations of motion in kinematics?

The three equations of motion in kinematics are:

- v = u + at (equation for final velocity)

- s = ut + 1/2at^2 (equation for displacement)

- v^2 = u^2 + 2as (equation for final velocity squared)

3. How is acceleration calculated in kinematics?

Acceleration is calculated by dividing the change in velocity by the change in time. It is represented by the symbol 'a' and its unit is meters per second squared (m/s^2).

4. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement divided by the total time taken, while instantaneous velocity is the velocity at a specific moment in time. Average velocity is represented by 'v', while instantaneous velocity is represented by 'v' with a subscript of 't'.

5. How does mass affect the motion of an object in dynamics?

Mass is a measure of an object's resistance to motion. In dynamics, the greater the mass of an object, the greater the force needed to accelerate it. This is described by Newton's second law of motion, F = ma, where F is force, m is mass, and a is acceleration.

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