Understanding Physics for the Beer Mug Problem

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SUMMARY

The discussion focuses on calculating the speed and direction of a beer mug sliding off a frictionless bar. The bartender slides the mug at a velocity of 1.50 m/s, and upon falling from a height of 1.2 m, the mug impacts the ground at a speed of 5.08 m/s and an angle of -72.8°. Key equations used include Vx = Vo cos θ and Vy = Vo sin θ, which are essential for determining the components of velocity at impact.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions and their applications in physics
  • Knowledge of kinematic equations for vertical motion
  • Basic concepts of velocity components in two-dimensional motion
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  • Study the derivation of projectile motion equations
  • Learn how to apply kinematic equations to vertical motion problems
  • Explore the effects of air resistance on projectile trajectories
  • Investigate the relationship between initial velocity and final velocity in free fall
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of projectile motion and its applications in real-world scenarios.

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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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