610 points Previous Answers Se $E9 4P013 MFB My Notes Ask Your Teacher In a loca

Question

610 points Previous Answers Se $E9 4P013 MFB My Notes Ask Your Teacher In a local ber, a customer slides an empty beer mug down the counter for a refil. The height of the counter m. The mug slides off the counter and strikes the floor 0.60 m from the base of the counter is 1.44 (a) With what velocity did the mug leave the counter? Does the time required for the mug to tt the floor depend on its initial horlzontal velocity? mys (b) What was the direction of the mug's velocity just before it hit the floo? (below the horizontal Need Help? Mase Submit Arswer Save Progross

Explanation / Answer

here,

height , h = 1.44 m

let the time taken be t

h = 0 + 0.5 * g * t^2

1.44 = 0.5 * 9.81 * t^2

solving for t

t = 0.54 s

a)

the horizontal velocity , vx = 0.6 /t = 1.1 m/s

b)

the vertical velocity , vy = 0 + g * t

vy = 0 + 9.81 * 0.54 m/s

vy = 5.3 m/s

the angle below horizontal , theta = arctan(vy/vx)

theta = arctan(5.3 /1.1) = 78.3 degree below horizontal

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