A customer sits in an amusement park ride in which the compartment is to be pull

Question

A customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of a y axis with an acceleration magnitude of 1.19 g, with g = 9.80 m/s2. A 0.435 g coin rests on the customer's knee. Once the motion begins and in unit-vector notation, what are projections of the coin's acceleration relative to the ground on (a)x-axis, (b)y-axis, (c)z-axis and relative to the customer on (d)x-axis, (e)y-axis, (f)z-axis? (g) How long does the coin take to reach the compartment ceiling, 2.4 m above the knee? What are projections of the actual force on the coin on (h)x-axis, (i)y-axis, (j)z-axis and projections of the apparent force according to the customer's measure of the coin's acceleration on (k)x-axis, (l)y-axis, (m)z-axis?

Explanation / Answer

ground

a) x axis - 0

b) y axis - -g = -9.8m/s^2

c) z axis - 0

wrt coustomer

d) x axis - 0

e) y axis - 1.19g-g = 1.862 m/s^2 in + y direction

f) z axis - 0

g) acceleration = 1.862 m/s^2

s = 2.4 m

time taken = sqrt(2s/a) = 1.6 secs

actual force

h) x axis = 0

i) y axis = ma = 0.435*9.8 = 4.263 N

j) z axis = 0

wrt customer

k) x axis = 0

l) y axis = ma = 0.435*1.862 = 0.81 N

m) z axis = 0

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