A square case rests on a track and is pushed against a horizontal spring, compressing the spring
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Question:
A square case rests on a track and is pushed against a horizontal spring, compressing the spring from its relaxed length. After releasing the case, the spring launches it horizontally along the track and up a ramp, as shown below. The case has enough speed to leave the ramp, and it reaches a maximum vertical height above the ground. Assume air resistance is negligible, and there is negligible friction between the case and the track.
h is the maximum height reached by the box.
k is the spring constant of the spring.
M is the mass of the box.
x is the distance the spring is compressed.
is the angle of the ramp from the horizontal axis.
a Indicate how using a softer spring one with a lower spring constant would affect the maximum height reached by the box, and explain why without mathematically deriving a relation for h
b A physics student derives this equation for the maximum height, h equals the quantity sine of theta squared times k times x squared all divided by times mass times g
Can this equation be used to accurately support your claim in a Briefly explain.
c Consider the casespringEarth system. Create an energy bar graph to represent position A the energy of the system when the spring is fully compressed, compared to position C the energy of the system at the moment immediately before the case hits the ground. Write your name and today's date in the upper right corner. Scan or take a picture of your graph and attach it to this item.
d Suppose air resistance was not negligible. Would this affect your answer in c Justify your answer.
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