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

## Answer This Question

## Related Questions

- physics - A 10kg block is released from the top of a ramp 45m high. the track is...
- physics - A 3 kg block (block A) is released from rest at the top of a 20 m long...
- physics - 3 kg block (block A) is released from rest at the top of a 20 m long ...
- Physics - A block is placed on a frictionless ramp at a height of 14.5 m above ...
- PHYSICS - A 209 kg block is released at height h = 3.3 m as shown. The track is ...
- Physics - 2-A 10.0 Kg block is released from point A in the figure below. The ...
- physics - I am having great difficulty with this question. A block is placed on ...
- physics - A block slides down a frictionless ramp. If the ramp angle is 22 ...
- PHYSICS - A small block of mass 0.5 kg is released from rest at the top of a ...
- Physics - A massless spring of constant k = 91.0 N/m is fixed on the left side ...

More Related Questions