Calculating Velocity of Mug Dropped from Counter

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Homework Help Overview

The problem involves calculating the velocity of a beer mug that slides off a counter and strikes the floor, with given horizontal and vertical distances. The subject area pertains to kinematics and projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevant equations for vertical displacement and the need to calculate time to find horizontal velocity. There are questions about the initial conditions and the absence of an angle for sine in the calculations.

Discussion Status

Participants are exploring different equations related to vertical motion and displacement. Some guidance has been offered regarding the calculation of time and its importance in determining the horizontal velocity. Multiple interpretations of the problem are being considered.

Contextual Notes

There is a noted lack of information regarding the time of flight, which is essential for solving the problem. Participants are also discussing the implications of the acceleration due to gravity in their calculations.

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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 distrated and does not see the mug, which slikde off the counter and strikes the floor 1.40m from the base of the counter. If the height of the counter is 0.860m
a)With what velocity did the mug leave the counter?
b0What was the direction of the mug's velocity just before it hit the floor?

Homework Equations


my x-component is 1.40m and y-component is 0.86m
My initial equation would be vyf=vyi + ayt
which turns into (?) 0=visintheta(i)/g



The Attempt at a Solution


I have no idea on how to start computing for this problem. I have no angle for sine, and wouldn't my acceleration be -9.80m/s^2, being that we're dealing with height here?


Thanks so much in advance!
 
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What is the equation for vertical displacement?
 
its deta vector-R=vectorR(f)-vectorR(i)
 
innightmare said:
its deta vector-R=vectorR(f)-vectorR(i)

Yes, but I was referring to this one:

d = v1*t + (1/2)at^2

can you apply this equation in the vertical direction to this problem?
 
so what's the value of t? being that time wasnt a given here
 
innightmare said:
so what's the value of t? being that time wasnt a given here

t is what you need to calculate using the equation... getting t will then let you calculate the horizontal velocity.
 
Ooooh ok-got it. For b);
would i find the direction using this equation tantheta=y/x

Thank you so much
 
innightmare said:
Ooooh ok-got it. For b);
would i find the direction using this equation tantheta=y/x

Thank you so much

yes, tantheta = vy/vx.
 

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