1. Force During a Bounce - 30 minutes The following plots depict the vertical ve

Question

1. Force During a Bounce - 30 minutes The following plots depict the vertical velocity v, as a function of time for 6 identical marbles labeled A Fas they each impact a surface. The surfaces on which the marbles are dropped may not be the same. The ty-direction is taken to be directly upward from each surface (perpendicular to it), and each plot of the velocity vy in meters per second (m/s) versus time in milliseconds (ms) begins when the marble first hits the surface and ends either when - the marble bounces off the surface OR - the marble comes to rest on the surface Note that successive tick marks on the vy-axis are separated by 1m/s, and successive tick marks on the t-axis are separated by 1 ms. Let Favg be the magnitude of the average force exerted by the ground on the marble during the time interval plotted. (w/s) n/s) t (ms) ts tong)

Explanation / Answer

a. average force will be proportional to the average slope

slope A = 7/6 = 1.166

slobe B = 3/6 = 0.5

slope C = 7/3 = 2.3333

slope D = 4/6 = 0.6666

slope E = 4/3 = 1.333

slope F = 2/6 = 0.333

hence

Fc > Fa > Fe > Fd > Fb > Ff

b. estimated mass of a marble = 20 g

for case C

acceleration = a = 2.333 m/s

hence

Favg = 0.02*a = 0.046 N

c. intiial velocitry is -ve in all graphs

so initially marbles move towards the surface

if there is positive velocity after some time

then it is a bouncy surface

gtrpah A, B, C,

is there is no final +ve velocity it is a mat like surface

graph D, E< F

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