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January 29, 2015

January 29, 2015

Posted by **Matt** on Tuesday, November 29, 2011 at 8:57pm.

the top of a driveway that is sloped at an

angle of 16.0 with the horizontal. An average

frictional force of 4.2×103 N impedes the car’s

motion so that the car’s speed at the bottom

of the driveway is 4.6 m/s.

The acceleration of gravity is 9.81 m/s2 .

What is the length of the driveway?

- physics -
**Damon**, Tuesday, November 29, 2011 at 9:38pmx = unknown length of driveway

distance it fell: h = x sin 16

potential energy lost = m g h = m g x sin 16

Ke gained = (m/2)(4.6)^2

difference = work done by friction = 4.3*10^3 * x

so

m g x sin 16 = (m/2)4.6^2 + 4.3*10^3 x

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