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on a level road the stopping distance for an automobile is 35.0m for an initail speed of 90 km/hr what is the stopping distance of the same automobile on a simalr road with the slope 1:10

  • physics -

    Assume the coefficent of friction is the same.

    F=mu*Normal force=ma
    a= normalforce*mu/mass

    solve for mu on the level road, knowing normalforce is mg.

    Then, knowingmu, look at the slope
    normal force=mg*SinTheta
    Vf^2=Vi^2+2mgSinTheta*mu/m * d
    solve for distance.

    since Theta is a small angle, SinTheta=TanTheta= 1/10

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