Understanding Physics for the Beer Mug Problem

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Homework Help Overview

The discussion revolves around a physics problem involving the motion of a beer mug sliding off a frictionless bar. Participants are exploring the speed and direction of the mug at the moment of impact after it falls from a height of 1.2 meters.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of equations for calculating the horizontal and vertical components of velocity, questioning how to derive these values at the moment of impact. There is also a focus on comparing the sliding velocity with the x-component of velocity.

Discussion Status

Some participants have provided equations relevant to the problem but express uncertainty about how to apply them effectively. There is an ongoing exploration of the relationships between different components of motion, and guidance has been offered to consider the x-component of velocity without immediately resorting to equations.

Contextual Notes

Participants note the absence of friction and air resistance in the scenario, which may influence their calculations and assumptions about the motion of the mug.

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1. A bartender slides a beer mug at 1.50m/s towards a customer at the end of a frictionless bar that is 1.2m tall. the customer makes a grab for the mug and misses, and the mug sails of the end of the bar. What are the speed and direction of the mug at impact?


2. Vx=Vocosθ
Vy=Vosinθ
V=√Vx^2+Vy^2
θ=tan-1(Vy/Vx)


3. The correct answer apparently is 5.08m/s and θ=-72.8°. I didn't get that...
 
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The equations you give are OK to find the speed and direction, but you need some more equations to find Vx and Vy when the mug hits the floor.
 
AlephZero said:
The equations you give are OK to find the speed and direction, but you need some more equations to find Vx and Vy when the mug hits the floor.

I don't know how to solve the problem with the equations I do have though...
 
How do you think vx and the sliding velocity compare?

Think about it, don't try use the equations!
 
217 MeV said:
How do you think vx and the sliding velocity compare?

Think about it, don't try use the equations!

I know I need to find Vf for the speed when the mug hits the floor. And then direction idk
 
Well, start with the x-component of v_f. What will that be?

Remember there's no friction whilst the mug is sliding, and I assume there is no air resistance.
 

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