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# BOTTLECAP UP A RAMP PHYSICS QUESTION. Impossible!!?

our teacher assigned this question to our class but i cannot seem to get it nor understand it!

fellow genius, heeeeeeeeeeelp!

A youngster shoots a bottle cap up a 16.5o inclined board at 1.99 m/s. The cap slides in a straight line, slowing to 1.05 m/s after traveling some distance. If the coefficient of kinetic friction is 0.41, find that distance.

WHAT DO I DO??

thankyouthankyou!

-hollywoodcoffee

### 1 Answer

- DHLv 71 decade agoFavorite Answer
You can use energy eqns to solve this

(K + U)1 + Work = (K + U) 2 where K is kinetic energy and U is potential energy

Now U 1 = 0 and K2 = 0

So 1/2*m*v1^2 - µ*m*g*cos(16.5)*L = m*g*L*sin(16.5)

so 1/2*v1^2/g = L*(sin(16.5) + µ*cos(16.5))

So L = v1^2/(2*g*(sin(16.5) + µ*cos(16.5))

L = 1.99^2/(2*9.8*(sin(16.5) + 0.41*(cos(16.5)) = 0.298m