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Physics

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What minimum coefficient of friction between the tires and the road will allow a 3700 kg truck to navigate an unbanked curve of radius 25 m at a speed of 45 km/h?

My answer:
Fnet=ma
Ff=m(v2)/r)
Ff=(3700)(452/25)
Ff=(3700)(2025/25)
Ff=(3700)(81)
Ff=299700

Frictional force
Ff=Fnµ
299700=(3700)(9.8)µ
299700=36260µ
µ= 8.3

Is this right? Thanks for your help.

  • Physics -

    I have never heard of a friction coefficient that high. It must be wrong.
    45 km/h = 12.5 m/s
    You did not make the conversion to m/s. Big error there, since V gets squared.

    Ff = Fn*µ = M*g*µ = M V^2/r

    µ = V^2/(rg) = 0.64

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