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posted by  Haste on 11/7/2009 10:20:02 AM  |  status: Live  |  Earned Karma: 546

Assume the same static friction coefficient.

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A car can decelerate at -4.20 m/s2 without skidding when coming to rest on a level road. What would be the magnitude of its deceleration if the road were inclined at 12° uphill? Assume the same static friction coefficient.
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posted by zsm28 on 11/7/2009 11:02:34 AM  |  status: Live
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Response Details:
on a level road: net force = -μmg = ma, where a = -4.20 m/s2
so μg = -a
on the uphill: net force = -mgsinθ - μmgcosθ = ma'
∴a' = -gsinθ - μgcosθ = -gsinθ + acosθ = -6.1 m/s2
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