一汽车行驶时遇到紧急情况,驾驶员迅速正确地使用制动器在最短距离内将车停住,称为紧急制动,设此过程中使汽车减速的阻力与汽车

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  • S 2=29m

    以汽车初速度方向为正方向,设质量为 m 的汽车受到的阻力与其对路面压力之间的比例系数为 μ ,在平直公路上紧急制动的加速度为 a 1

    根据牛顿第二定律 - μmg = ma 1·················································································· ①

    根据匀减变速直线运动规律 a 1= ·········································································· ②

    联立解得 μ ==0.8

    设汽车沿坡角为 θ 的斜坡向下运动时,紧急制动的加速度为 a 2,制动距离为 S 2

    根据牛顿第二定律 mg sin θ - μmg cos θ = ma 2······································································ ③

    根据匀变速直线运动规律 S 2=··············································································· ④

    由题意知tan θ =0.1,则 sin θ =≈0.1 cos θ =≈1

    联立解得 S 2="29m" ··································································································· ⑤

    说明:若用其他方法求解,参照参考答案给分。

    ;28.57m