Physics Homework: Calculate Velocity & Direction of Beer Mug

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Homework Help Overview

The problem involves calculating the velocity and direction of a beer mug that slides off a counter. The scenario includes a height of 0.86 m and a horizontal distance of 1.4 m from the base of the counter, with gravitational acceleration assumed to be 9.8 m/s².

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss breaking the problem into horizontal and vertical components, considering the time of fall, and using kinematic equations to find the initial velocity and impact angle.

Discussion Status

Some participants have provided insights on how to approach the problem by separating the horizontal and vertical motions. Others are exploring the calculation of the angle of impact and expressing uncertainty about the correct method to find it.

Contextual Notes

There is a lack of clarity regarding the calculation of the angle of velocity at impact, with participants questioning their understanding of projectile motion concepts.

justsomebody
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Homework Statement


Assume gravitational force is 9.8 ms^-2

In a local bar, a customer slides an empty beer mug on the counter for a refill.
The bartender is momentarily distracted and does not see the mug, which
slides off the counter and strikes the floor 1.4 m from the base of the counter.
If the height of the counter is 0.86 m,

(a) with what velocity did the mug leave the counter, and
(b) what was the direction of the mug’s velocity just before it hit floor?

2. The attempt at a solution

Don't really understand the question at all =d can any1 help =D

Ans (a) 3.34 m/s at 0° (b) 309°
 
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justsomebody said:

Homework Statement


Assume gravitational force is 9.8 ms^-2

In a local bar, a customer slides an empty beer mug on the counter for a refill.
The bartender is momentarily distracted and does not see the mug, which
slides off the counter and strikes the floor 1.4 m from the base of the counter.
If the height of the counter is 0.86 m,

(a) with what velocity did the mug leave the counter, and
(b) what was the direction of the mug’s velocity just before it hit floor?

2. The attempt at a solution

Don't really understand the question at all =d can any1 help =D

Ans (a) 3.34 m/s at 0° (b) 309°

Try determining the time that it takes for an object to fall from .86m.
 
the first thing u should do when doing a problem like this is split it up into a problem in the x (horizontal)direction, and one in the y (vertical)direction. Try to view it as two separate problems but with one common factor that will always stay the same between the two problems. Split up different distances, acceleration, and different velocities and other relevant information. Once done with that you might have some more insight on how the problem is handled.
 
lol thanks for the all help appreciate it =D i got the answer i guess
=> s = ut + 1/2at^2 ( vertical distance )
=> u = 0, sqrt(2s/a) = t
=> t = 0.41893938

=> s = 1/2(u+v)t ( horizontal distance )
=> 1.4 = 1/2(u + v) t where v = u
=> 1.4/t = 1/2 * 2u
=> u = 3.341772263
 
Last edited:
the next part really stumps me =o
how do you calculate rotation angle
does it have something to do with projectile motion thing
ill go try out
 
justsomebody said:
the next part really stumps me =o
how do you calculate rotation angle
does it have something to do with projectile motion thing
ill go try out

You know the velocity of the glass in the X-direction. If you can determine the velocity in the Y-direction at impact, you can determine the angle.
 
Borg said:
You know the velocity of the glass in the X-direction. If you can determine the velocity in the Y-direction at impact, you can determine the angle.

is the velocity in Y-direction
=> v^2 = u^2 + 2as
=> v = sqrt(2as)
=> v = sqrt(2*9.8*0.86)
=> v = 4.105605924
=> v = 4.11m/s

how do u find the angle =o

i can only think of tan(teetle) = vertical v / horizontal v which is wrong
nvm i forgot to do 360-teetle lol =D
thanks everyone for helping me to solve this question =D
 

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