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Rolling Marble on Table Top Points:4 A marble is rolling on top of a table, goin

ID: 1877382 • Letter: R

Question

Rolling Marble on Table Top Points:4 A marble is rolling on top of a table, going along the +x-axis. Its positions at a fixed time interval, At 0.24 s, is shown with x's on the graph below 65 60 50 45 40 35 30 20 10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 19 Horizontal position, x, () What is the speed of the marble just before it rolls off the table? Submit AnrTries 0/10 How long does it take for the marble to fall from the top of the table to the floor? Where along the x-axis does the marble hit the floor? Neglect any air NOTE: Both answers must be correct to get credit. Submit AnswerTries 0/10 At what angle does the marble hit the floor? Use +x- axis to be 0 degree going counter-clockwise. Submit Answer Tries 0/10 What is the position of the marble 0.314 s after it rolls over the edge? Put the x coordinate in the first box below and the in the second box. Submit Answer Tries 0/10

Explanation / Answer

a) speed of rolling marble= 30 cm/ 0.24 seconds= 1.25 m/s

b) h = 1/2 gt^2

60 x 10^-2 m = 0.5 (9.8) t^2

t=0.35 seconds apprx

c) let 's find the horizontal distance covered by marble during 0.35 seconds

s= 1.25 ( 0.35) =0.437 m apprx

tan theta= 0.6 m/ 0.437 m = - 53.93 degree below horizontal

c) y= 1/2 (9.,8) (0.314^2) = 0.483 m

x= 1.25 (0.314) = 0.3925 m apprx

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