Answer all the questions. To get credit, you must show your work. For the next M

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Answer all the questions.  To get credit, you must show your work.

For the next Mars mission, NASA engineers have built a spectra-graphic camera.  The current Mars probe does not have this capability, and we need this to analyze for life forms while on the Martian surface.The camera will analyze a specimen by slowly sliding down a ramp, as pictured below.

Answer all the questions. To get credit, you must show your work. For the next Mars mission, NASA engineers have built a spectra-graphic camera. The current Mars probe does not have this capability, and we need this to analyze for life forms while on the Martian surface.The camera will analyze a specimen by slowly sliding down a ramp, as pictured below. The camera at the top of the ramp will be released by a pin, and then it slides down the ramp. In order to fully analyze the Martian specimen, we want this camera to slide down the ramp at the slowest possible speed, without stopping. You have a choice of several material combinations (Coefficients of Friction A through L) to achieve this. In addition, we anticipate the atmospheric drag force to be .05 Newtons directly against the camera until at rest.

Explanation / Answer

I don't have the value for g on Mars so you will have to obtain this,.

m a = m g sin 20 - u m g cos 20       acceleration on ramp

u = tan 20 for acceleration to be zero

u = .36397

(k) .35067 is the closest value less than u

m a = m g sin 20 - u m g cos 20

a = g (sin 20 - u cos 20)     you will have to provide g

2 a s = v^2        solve to get v at the bottom of the ramp

s = 1/2 a t^2     solve to get t

1/2 m v^2 = u m g d

d = v^2 / (2 u g)      solve to get d

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