Posted by **Dakota HELP!! Assignment due within 30mts!!!** on Wednesday, April 25, 2012 at 6:32am.

A 10kg block is released from the top of a ramp 45m high. the track is frictionless except for a 6m stretch in the middle. when the block reaches the end, it compresses the k=2250N/m spring a distance of 0.030m. Find the coefficient of friction over the rough patch in the middle.

- Physics -
**bobpursley**, Wednesday, April 25, 2012 at 9:11am
work this as energy.

Initial PE=Final PE+friction work

Initial PE=mgh

final PE=1/2 k x^2 where k=2250, x-.030

frictionwork= mg*cosTheta*mu*6

So, put this into the equation, solve for mu. However, the angle of the ramp needs to be known to solve it, I don't see it given, or data given to calculate it.

- Physics -
**Elena**, Wednesday, April 25, 2012 at 2:29pm
PE = KE + W(fr),

m•g•h = m•v^2/2 + μ•m•g•cosα•s,

KE = PE(spring)

m•v^2/2 = kx^2/2,

Then,

m•g•h = kx^2/2 + μ•m•g•cosα•s,

μ ={ m•g•h - kx^2/2}/ m•g•cosα•s.

It is necessary to know the angle α

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