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 1.38 g, with g = 9.80 m/s2. A 0.435 g coin rests on the customer's knee. Once the motion begins, 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, 2.1 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?

I keep on getting parts (e), (i) and (l) wrong. Please give me answer and the basic equation/s/steps you took.

Explanation / Answer

e) -g - (-1.38g) = 0.38g. = 3.724 m/s^2 in positive y-direction.

i) Actual force on coin = mg = 0.435*10^-3*9.8 = 4.263 *10^-3 N. in negative y direction.

l) m*(accelaration relation to customer) = 0.435*10^-3*3.724 N

=1.62*10^-3 N.

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