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1、1 物理学 2 章习题解答 2-1 处于一斜面上的物体,在沿斜面方向的力f 作用下,向上滑动。已知斜面长为5.6 m,顶端的高度为 3.2 m,f 的大小为 100 n,物体的质量为12 kg,物体沿斜面向上滑动的距离为 4.0 m,物体与斜面之间的摩擦系数为0.24。求物体在滑动过程中,力f、摩擦力、重力和斜面对物体支撑力各作了多少功?这些力的合力作了多少功?将这些力所作功的代数和与这些力的合力所作的功进行比较,可以得到什么结论?解 物体受力情形如图2-3 所示。力 f 所作的功;摩擦力,摩擦力所作的功;重力所作的功;支撑力 n 与物体的位移相垂直,不作功,即;这些功的代数和为.物体所受合力
2、为,合力的功为.这表明,物体所受诸力的合力所作的功必定等于各分力所作功的代数和。2-3 物体在一机械手的推动下沿水平地面作匀加速运动,加速度为0.49 ms2。若动力机械的功率有 50%用于克服摩擦力,有 50%用于增加速度,求物体与地面的摩擦系数。解 设机械手的推力为f 沿水平方向,地面对物体的摩擦力为f,在这些力的作用下物体的加速度为 a,根据 牛顿第二定律,在水平方向上可以列出下面的方程式,图 2-3 2 在上式两边同乘以v,得,上式左边第一项是推力的功率()。按题意,推力的功率 p 是摩擦力功率 fv 的二倍,于是有.由上式得,又有,故可解得.2-4 有一斜面长 5.0 m、顶端高 3
3、.0 m,今有一机械手将一个质量为1000 kg的物体以匀速从斜面底部推到顶部,如果机械手推动物体的方向与斜面成30,斜面与物体的摩擦系数为 0.20,求机械手的推力和它对物体所作的功。解 物体受力情况如图2-4 所示。取 x 轴沿斜面向上,y 轴垂直于斜面向上。可以列出下面的方程,(1),(2).(3)根据已知条件,.由式(2)得.将上式代入式(3),得.将上式代入式(1)得,由此解得图 2-4 文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10
4、V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7
5、E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5
6、H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE1
7、0T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S
8、2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编
9、码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A
10、9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H13 .推力 f 所作的功为.2-5 有心力是力的方向指向某固定点(称为力心)、力的大小只决定于受力物体到力心的距离的一种力,万有引力就是一种有心力。现有一物体受到有心力的作用(其中 m 和都是大于零的常量),从rp 到达 rq,求此有心力所作的功,其中rp和 rq是以力心为坐标原点时物体的位置矢量。解 根据题意,画出物体在有心力场中运动的示意图,即图 2-5,物体
11、在运动过程中的任意点c 处,在有心力 f 的作用下作位移元dl,力所作的元功为,所以,在物体从点p(位置矢量为 rp)到达点 q(位置矢量为 rq)的过程中,f 所作的总功为.2-6 马拉着质量为 100 kg 的雪撬以 2.0 ms1 的匀速率上山,山的坡度为0.05(即每100 m升高 5 m),雪撬与雪地之间的摩擦系数为 0.10。求马拉雪撬的功率。解 设山坡的倾角为,则.可列出下面的方程式,.式中 m、f、f 和 n 分别是雪橇的质量、马的拉力、地面对雪橇的摩擦力和地面对雪橇的支撑力。从以上方程式可解得,图 2-5 文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T
12、3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H
13、1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:
14、CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X
15、7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6
16、 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7
17、Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9
18、 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H14 .于是可以求得马拉雪橇的功率为.2-7 机车的功率为 2.0 106 w,在满功率运行的情况下,在100 s内将列车由静止加速到 20 m s1。若忽略摩擦力,试求:(1)列车的质量;(2)列车的速率与时间的关系;(3)机车的拉力与时
19、间的关系;(4)列车所经过的路程。解(1)将牛顿第二定律写为下面的形式,(1)用速度 v 点乘上式两边,得.式中 fv=p,是机车的功率,为一定值。对上式积分,即可得,将已知数据代入上式,可求得列车的质量,为.(2)利用上面所得到的方程式,就可以求得速度与时间的关系,为.(2)(3)由式(2)得,将上式代入式(1),得文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N1
20、0V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE
21、7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B
22、5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE
23、10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9
24、S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档
25、编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5
26、A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H15 ,由上式可以得到机车的拉力与时间的关系.(4)列车在这 100 秒内作复杂运动,因为加速度也在随时间变化。列车所经过的路程可以用第一章的位移公式(1-11)来求解。对于直线运动,上式可化为标量式,故有.2-8 质量为 m 的固体球在空气中运动将受到空气对它的黏性阻力f 的作用,黏性阻力的大小与球相对于空气的运动速率成正比,黏性阻力的方向与球的运动方向相反,即可表示为 f=v,其中 是常量。已知球被约束在水平方向上,在空气的黏性阻力作用下作减
27、速运动,初始时刻t0,球的速度为 v0,试求:(1)t 时刻球的运动速度v;(2)在从 t0 到 t 的时间内,黏性阻力所作的功a。解(1)根据已知条件,可以作下面的运算,式中.于是可以得到下面的关系,对上式积分可得.(1)当 t=t0时,v=v0,代入上式可得.将上式代入式(1),得.(2)(2)在从 t0 到 t 的时间内,黏性阻力所作的功可以由下面的运算中得出文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE
28、10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9
29、S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档
30、编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5
31、A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N1
32、0V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE
33、7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B
34、5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H16 .2-9 一个质量为 30 g 的子弹以 500 m s1 的速率沿水平方向射入沙袋内,并到达深度为 20 cm 处,求沙袋对子弹的平均阻力。解 根据动能定理,平均阻力所作的功应等于子弹动能的增量,即,所以.2-10 以 200 N 的水平推力推一个原来静止的小车,使它沿水平路面行驶了5.0 m。若小车的质量为 100 kg,小车运动时的摩擦系数为0.10,试用牛顿运动定律和动能定理两种方法求
35、小车的末速。解 设水平推力为 f,摩擦力为 f,行驶距离为 s,小车的末速为 v。(1)用牛顿运动定律求小车的末速v:列出下面的方程式,.两式联立求解,解得,将已知数值代入上式,得到小车的末速为.(2)用动能定理求小车的末速v:根据动能定理可以列出下面的方程式,其中摩擦力可以表示为.由以上两式可解得,将已知数值代入上式,得小车的末速为文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:C
36、J5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7
37、N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6
38、HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z
39、7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9
40、ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3
41、W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1
42、文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H17.2-11 质量 m=100 g的小球被系在长度l=50.0 cm绳子的一端,绳子的另一端固定在点 o,如图 2-6 所示。若将小球拉到p 处,绳子正好呈水平状,然后将小球释放。求小球运动到绳子与水平方向成=60 的点 q 时,小球的速率 v、绳子的张力 t 和小球从 p到 q 的过程中重力所作的功a。解 取 q 点的势能为零,则有,即,于是求得小球到达q点时的速率为.设小球到达 q 点时绳子的张力为 t,则沿轨道法向可以列出
43、下面的方程式,由此可解的.在小球从 p 到 q 的过程中的任意一点上,沿轨道切向作位移元ds,重力所作元功可表示为,式中 是沿轨道切向所作位移元ds与竖直方向的夹角。小球从 p 到 q 的过程中重力所作的总功可以由对上式的积分求得.2-12 一辆重量为 19.6 103 n 的汽车,由静止开始向山上行驶,山的坡度为0.20,汽车开出 100 m 后的速率达到 36 km h1,如果摩擦系数为 0.10,求汽车牵引力所作的功。解 设汽车的牵引力为f,沿山坡向上,摩擦力为f,山坡的倾角为。将汽车自身看为一个系统,根据功能原理可以列出下面的方程式,(1),图 2-6 文档编码:CJ5A9X7N10V
44、6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E
45、7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H
46、9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10
47、T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2
48、H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码
49、:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9
50、X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H1文档编码:CJ5A9X7N10V6 HE7E7Z7B5H9 ZE10T3W9S2H18.根据已知条件,可以得出,汽车的质量以及。从方程(1)可以解得.汽车牵引力所作的功为,将数值代入,得.2-13 质量为 1000 kg 的汽车以 36 km h1 的速率匀速行驶,摩擦系数为0.10