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 1.58 g, with g = 9.80 m/s2. A 0.492 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, 2.6 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?

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Asked Sep 25, 2019
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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 1.58 g, with g = 9.80 m/s2. A 0.492 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, 2.6 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?

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Expert Answer

Step 1

Hello. Since your question has multiple sub-parts, we will solve up to (f) sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

(a) According to the question, the acceleration acts on the coin relative due to the ground is an acceleration due to Earth’s gravity (g). Since, there is no component of g in the x direction, hence the component of coin’s acceleration with respect to ground along x-axis is zero.

Step 2

(b) The acceleration due to gravity acts in the negative y-direction. Hence, hence the component of coin’s acceleration with respect to ground along y-axis is:

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a, -g9.8 m s

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Step 3

(c) Since, there is no component of g in the z direction, hence the component of c...

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