# Physics Vehicle application

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If the car is traveling at 98 km/h, will a friction force be required? If so, in what direction?

How much friction force will be required?

Confused. May someone walk me through this problem step by step. Thank you

• Physics Vehicle application -

If this problem is the second part of the problem from your previous post, then

ΣFy = N• cos θ − mg − f •sin θ = 0
ΣFx = N• sin θ + f •cos θ = m•v²/R,
where f –friction force

Solving the 1st equation for N, we obtain
N =( f •sin θ + m•g)/cos θ,
Substitute N to the 2nd equation and obtain friction force
f =m[(v²•cosθ/R) - g•sinθ].

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