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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 0.60 m from the base of the counter. The height of the counter is 0.900 m.

(a) With what velocity did the mug leave the counter?

(b) What was the direction of the mug's velocity just before it hit the floor? (below the horizontal)

2007-09-12 05:03:55 · 3 answers · asked by surfing86 2 in Science & Mathematics Physics

3 answers

(a) Time of flight:
Use the distance formula:
s = s(zero) + v(zero)t + (1/2)at^2
s = 0.09 +(1/2)(-9.8)t^2
4.9t^2 = 0.90
t^2 = 0.18367
t = 0.42857sec
Horizontal:
D = rt
r = D/t = 0.6/0.42857 = 1.40m/s

(b) Vertical:
v = v(zero) + at
v = (-9.8)(0.42857) = 4.20m/s
Angle = arctan(v(y)/v(x) = arctan(4.2/1.4) = 71.565degrees
Velocity vector makes an angle of 71.565degrees with the floor

2007-09-12 12:59:58 · answer #1 · answered by jsardi56 7 · 0 0

Better than my physics textbooks where all the examples are of penguins playing with massless ropes and fricionless surfaces. And placing static electric chargers. I haven't taken modern physics yet but I have looked into that book and its nothing but penguins riding in rocket ships experiencing relativistically effects.

2007-09-12 05:12:41 · answer #2 · answered by frozenlint 2 · 0 0

What college campus is this; Booze-Town USA?

2007-09-12 05:08:16 · answer #3 · answered by Anonymous · 0 2

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