A customer sits in an amusement park ride in which the compartment is to be pull
ID: 2137296 • Letter: A
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 1.16 g, with g = 9.80 m/s2. A 0.626 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, 2.2 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
a)
Net force on coin in x-direction=0
Acceleration relative to the ground on x-axis =0
b)
Acceleration relative to the ground on y-axis=g = 9.80 m/s2
c)
Acceleration relative to the ground on z-axis=0
d)
Acceleration relative to the customer on x-axis =0
e)
Acceleration relative to the customer on y-axis =1.16g-g=0.16 g= 1.568 m/s^2 (upward)
f)
Acceleration relative to the customer on z-axis =0
g)
t=2*s/a=2*4.4/1.568=5.61 seconds
h)
projections of the actual force on the coin on x-axis=0
i)
projections of the actual force on the coin on y-axis=9.8 * 0.626 =6.1348 N
j)
projections of the actual force on the coin on z-axis=0
k)
projections of the apparent force according to the customer's measure of the coin's acceleration on x--axis=0
l) projections of the apparent force according to the customer's measure of the coin's acceleration on y--axis=1.568*9.8=15.366 N
m)
projections of the apparent force according to the customer's measure of the coin's acceleration on z--axis=0
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