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 1.30 g, withg = 9.80 m/s2. A 0.611 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, 2.3 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

projections of the coin's acceleration relative to the ground

x axis = 0 m/sec2

y axis = -12.74 m/sec2

z axis = 0 m/sec2

projections of the coin's acceleration relative to the customer

x axis = 0 m/sec2

y axis = 0 m/sec2

z axis = 0 m/sec2

long does the coin take to reach the compartment ceiling = sqrt(2*2.3/0.3*9.8)

                                                                                          = 1.25 sec

projections of the actual force on the coin

x axis = 0 N

y axis = 0.00778 N

z axis = 0 N

projections of the apparent force on the coin according to customer

x axis = 0 N

y axis = 0.00179 N

z axis = 0 N

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