In a local bar, a customer slides an empty beer mug down the counter for a refil

Question

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 mug, which slides off the counter and strikes the floor 2.00 m from the base of the counter. The height of the counter is 0.840 m. (a) With what velocity did the mug leave the counter? 4.073 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) What was the direction of the mug's velocity just before it hit the floor? 49.74 Your response differs from the correct answer by more than 10%. Double check your calculations.° (below the horizontal) Need Help? Talk to Titer

Explanation / Answer

a)

Horizontal distance travelled

X=Voxt

=>t=2/Vox

from

Y=Yo+Voyt+(1/2)at2

0=0.84+0-(1/2)*9.8*(2/Vox)2

2*0.84/9.8 =4/Vox2

Vox=4.83 m/s

b)

Vfx=Vox=4.83 m/s

Vfr=Voy+at=0-9.8*(2/4.83)=-4.057 m/s

direction

o=tan-1(-4.057/4.83)=-40.03o

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