is not moving. Howe n ball at high velocity ushes on the hovercra. let mh represent the r
is not moving. Howe n ball at high velocity ushes on the hovercra. let mh represent the r
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Can you answer number 2 but have it written down or type with equations shown like with the radical
Transcribed Image Text:The figure below shows a hovercraft that “floats" on a cushion of air, allowing it to move freely
without friction. Initially, the hovercraft is not moving. However, there is a spring-loaded canon
on the hovercraft that can launch a canon ball at high velocity in the î direction. When the canon
pushes the ball out the back, the ball pushes on the hovercraft and propels it forward. Let m,
denote the mass of the canon ball, and let mh represent the mass of the hovercraft without the
ball. Just ahead of the hovercraft, suppose there is a hill of height H, and a maximum slope of
angle 0 somewhere in the range 10° < 0 < 30°.
H
Given, mb, mh, H, 0, and g, answer Question 1 below. In communicating your answer, you must
follow the guidelines enumerated in the Problem Solving Checklist and the Free Body Diagram
Checklist.
1. What is the minimum speed (measured by an observer who is not moving) you should launch
the ball so that the hovercraft can travel all the way up the hill?
2. (Bonus Question that will only be considered if you achieve a "very good" rating on the first
question.) Suppose that the spring in the canon has a stiffness (spring constant) k. At the
minimum speed you calculated in Question 1, what would be the maximum force of the spring
on the canon ball as it is launched?
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