With what velocity did the mug leave the counter?

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Homework Help Overview

The problem involves a projectile motion scenario where a beer mug slides off a counter and strikes the floor at a certain distance from the base of the counter. The height of the counter and the horizontal distance traveled by the mug are provided, prompting a discussion on determining the initial velocity of the mug as it leaves the counter.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between vertical and horizontal motion, with attempts to calculate the time of flight and the horizontal distance. Questions arise about how to derive the initial horizontal velocity from the given information.

Discussion Status

Participants are actively engaging with the problem, exploring various interpretations and approaches. Some have offered hints and guidance on how to approach the calculations, while others express confusion about the information provided and how to use it effectively.

Contextual Notes

There is a noted confusion regarding the interpretation of the distances involved and the separation of horizontal and vertical components in the projectile motion equations. Some participants mention the need to clarify the problem statement and the values given.

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Homework Statement


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mud, which slides off the counter and strikes the floor 1.4m from the base of the counter, If the height of the counter is 0.860m

Homework Equations


a) with what velocity did the mug leave the counter?


The Attempt at a Solution


I know this is a projectile motion problem
I started and put Vy= 0 m/s and Vx= Vi
I put the height as H= 1.4+0.860= 2.26m
from this equation Vf=Vi-gt
I got the time .. t=0.679s
My idea is to ger the distance X in X direction and I have the time of the flying mug
By dividing them I'll get the Vx which equals to the V initial of the mug
I tried to get a relation between Vx and Vy but I failed
can anyone help me ?
 
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the_storm said:

Homework Statement


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mud, which slides off the counter and strikes the floor 1.4m from the base of the counter, If the height of the counter is 0.860m

Homework Equations


a) with what velocity did the mug leave the counter?


The Attempt at a Solution


I know this is a projectile motion problem
I started and put Vy= 0 m/s and Vx= Vi
I put the height as H= 1.4+0.860= 2.26m
from this equation Vf=Vi-gt
I got the time .. t=0.679s
My idea is to ger the distance X in X direction and I have the time of the flying mug
By dividing them I'll get the Vx which equals to the V initial of the mug
I tried to get a relation between Vx and Vy but I failed
can anyone help me ?

I think you already answered the question. Yes?
 
pgardn said:
I think you already answered the question. Yes?

I know this is the answer but how to reach it ,,,?
I am unable to get X in X direction I have only the time so I have an equation in two unknown
I can't get Vx. I have no given ? So is there a way to get it ?
 
the_storm said:
I know this is the answer but how to reach it ,,,?
I am unable to get X in X direction I have only the time so I have an equation in two unknown
I can't get Vx. I have no given ? So is there a way to get it ?

You have the time its in the air. You have the distance it traveled in the x direction, why can't you get Vx?
 
pgardn said:
You have the time its in the air. You have the distance it traveled in the x direction, why can't you get Vx?


I don't have the distance traveled in X direction I wish I had it
Do you have a way to get it ?
 
the_storm said:
I don't have the distance traveled in X direction I wish I had it
Do you have a way to get it ?

You do have it. Read the question again. :biggrin:
 
Whenever you do these types of problems you might want to do the GUESS method, and its exactly the opposite of a guess...
G - Given: What has been given to you in the problem
U - unknown, what are you trying to solve for
E - equations; which equations do you have in your arsenal
S - substitute; substitute the appropriate givens into the equations you need.
S - Solve for the unknown.
 
I don't :D
I read it too much
I have only the height in other words the Distance in Y direction which is 1.4+0.86
That all I have.
So what do u think ?
 
the_storm said:

Homework Statement


In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mud, which slides off the counter and strikes the floor 1.4m from the base of the counter, If the height of the counter is 0.860m

Homework Equations


a) with what velocity did the mug leave the counter?


The Attempt at a Solution


I know this is a projectile motion problem
I started and put Vy= 0 m/s and Vx= Vi
I put the height as H= 1.4+0.860= 2.26m
from this equation Vf=Vi-gt
I got the time .. t=0.679s
My idea is to ger the distance X in X direction and I have the time of the flying mug
By dividing them I'll get the Vx which equals to the V initial of the mug
I tried to get a relation between Vx and Vy but I failed
can anyone help me ?

You have to read these questions carefully sometimes and familiarize yourself with the way they are stated.
 
  • #10
another hint... the 0.86 is the distance the mug falls, yes?

So make sure you remove that adding you did to get the time. They give you the distance the mug goes in the horizontal and the vertical. They are separate numbers.
 
  • #11
pgardn said:
You have to read these questions carefully sometimes and familiarize yourself with the way they are stated.

You are right
It's solved Thank you bro :)
So I can go and sleep now :) good night
<< he is from Egypt :D
 
  • #12
the_storm said:
You are right
It's solved Thank you bro :)
So I can go and sleep now :) good night
<< he is from Egypt :D

Good evening...
 

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