1 Abarttender slides a beer mug at 15 m/s toward a customer at the end of a fric

Question

1 Abarttender slides a beer mug at 15 m/s toward a customer at the end of a frictionless bar that s 12 m tallL The customer makes a grab for the mug but misses, thus the mug sais off the end of the bat, How far from the end of the bar will the w staffneed to wipe the mess off of the foor? Where does the mug impact the floor? (1Sp 2. deemed at A3000Ncrate is pushed to the right across 20" below horornal There is a frition between the orate and the floor (25pm al Draw a free-body dagram ef the rate, indicating all ferces and (approximanel dinection lew.fioor by . constant force of What is the coefficient of kinetic friction A particle passes through the orn wih the velocity Vab mys From than poi on a has a al Where is the particle after Ss have elapied since eoossing the or

Explanation / Answer

1) time of flight

letting down be the positive direction, analyse vertical motion
y = ½gt²
t = sqrt(2y/g)
t = 0.5 s

Range
letting forward be the positive direction, analyse horizontal motion
x = vt
x = 0.75 m

Now speed
vy = gt
vy = 4.9 m/s [down]
vx = 1.5 m/s [forward]
v = sqrt[(vy)² + (vx)²] = 5.12 m/s
? = arctan[(vy)/(vx)] = -73 degree

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