先跟大家说声抱歉...双数题因为书上没有解答...所以我不确定我写的对不对... 但单数题确定是对的啦^^ 所以先PO题目和单数题详解...双数题的详解我会尽快补PO的^^ (普物组没有解散喔~~~) by 初 88. A steel ball of mass 0.5kg is fastened to a cord that is 70.0 cm long and fixed at the far end(一颗球被70公分的线悬挂着，线的尾端被固定住). The ball is than released when the cord is horizontal (球以类似钟摆的轨迹被举起，直 到线成水平)(Fig.10-61). At the bottom of its path, the ball strikes a 2.50kg steel block initially at rest on a frictionless surface(当球在她轨迹的底部 ，她撞到一个静止在无摩擦力的平面上的方块). The collision is elastic(弹性碰 撞). Find (a) the speed of the ball and (b) the speed of the block, both just after the collision.(求方块与球在刚撞击过後的个别速度) 89. Two titanium spheres approach each other head-on with the same speed and collide elastically(完全弹性碰撞). After the collision, one of the spheres, whose mass is 300g, remains at rest(静止). (a)What is the mass of the other sphere? (b)what is the speed of the two-sphere center of mass (质心速度)if the initial speed of each sphere is 2.0 m/s? a. 300╳V－m╳V＝300╳0＋m╳2V => m＝100 ( g ) b. 300╳2－100╳2＝（300＋100）╳V => V＝1 ( m/s ) 90.In the two-sphere arrangement of Touchstone Example 10-8(例题10-8 两悬吊且相 邻的球A,B，将A以类似钟摆顺势提高某一段垂直高度後，放手使齐类似钟摆顺原轨迹撞 击B球), assume that sphere A has a mass of 50g and an initial height of 9.0cm and that sphere B has a mass of 85g.After the collision, what height is reached by (a) sphere A and (b) sphere B? After the next (elastic(弹性)) collision, what height is reached by (c) sphere A and (d) sphere B (don’t use rounded-off values.) 91.The block in Fig. 10-62(图10-62碰撞前1.6公斤的物体在左边以速度5.5m/s向右前进 ，2.4公斤的物体以速度2.5m/s向右前进。碰撞後1.6公斤的物体速度为V向右，2.4公斤 的物体速度为4.9m/s向右) slide without friction(无摩擦力). (a)What is the velocity of the 1.6kg after the collision(并写出其方向)? (b)Is the collision elastic(弹性)? (c)Suppose the initial velocity of the 2.4kg block is the reverse of what is shown. Can the velocity of the 1.6kg block after the collision be in the direction shown? a. 5.5╳1.6＋2.5╳2.4＝V╳1.6＋4.9╳2.4 => V=1.9 ( m/s ) (向右) b. yes c. no 92.In Fig.10-63(A与B置於一张无摩擦力的桌上，A在左，B在右，且在B的右边有一面质量 无限大的墙), block A of mass MA, is at rest(静止) on a long frictionless(无摩 擦力) table that is up against a wall. Block B of mass MB is placed between block A and the wall and sent sliding to the left, toward to A, with constant speed VB1. Assuming that all collision are elastic(弹性), find the value of MB(in terms of MA(用MA表示)) for which both blocks move with the same velocity after block B has collided once with block A and once with the wall (在B撞击A後，B又反弹到墙，又被墙反弹回来，此时A与B有相同的速度). Assume the wall to have infinite(无限大) mass. 93.A small ball of mass m is aligned(成一直线) above a larger ball of mass M with a slight separation, and the two are dropped simultaneously from h (m在M上成一直线，且两者相邻，从高度h的地方自由落下). (Assume the radius of each ball is negligible compared to h.(假设m与M的半径相对h来说皆可忽略)) if the larger ball rebounds(回弹) elastically(弹性) from the floor and then the small ball rebounds elastically from the larger ball, what ratio(比例) m/M results in the larger ball stopping upon its collision with the small ball(m被M回弹後M静止)? (The answer is approximately the mass ratio of a baseball to a basketball.(答案的比例大约等於棒球与篮球的比例)) (b)What height does the small ball then reach? a. M╳V－m╳V＝M╳0＋m╳2V => 3m＝M => m/M＝1/3 b. 1/2╳m╳(2(√2gh))2(平方)＝m╳g╳h’ => h’＝4h 94.In Fig.10-64, block A of mass MA slides from rest along a frictionless ramp from a height of 2.50m (A从高度为2.5m的无摩擦力的圆弧轨道上自由滑落)and then collides with stationary block B(然後撞击一个静止的B), which has mass MB=2MA. After the collision, block B slides into a region where the coefficient of kinetic friction is 0.500 (撞击过後，B进入一个动摩擦系数为0.5的区域)and comes to a stop in distance d within that region(并且在那个区域停止). What is the value of distance d if the collision is (a) elastic(弹性) and (b) completely inelastic(完全非弹性)? 95.In Fig. 10-65(A在一个无摩擦力的凳子上向B滑行，且与B发生弹性碰撞。然後B被A撞 後掉下板凳，且A被B反弹後也掉下板凳。A的水平抛射距离为2d，B的水平抛射距离为d), puck A of mass MA=0.20kg is sent sliding across a frictionless lab bench, to undergo a one-dimensional elastic collision with stationary puck B. Puck B then slides off A rebounds from the collision and slides off the opposite edge of the bench, landing a distance 2d from the base of the bench. What is the mass of puck B? a. 0.2╳V＝MB╳V/3－0.2╳2╳V/3 =>MB＝1 ( kg ) 96.In Fig.10-66(A从最左边向右滑行，先撞击到B，再来B又撞击C),block A of mass MA slides along an x axis on a frictionless floor(无摩擦力的地板) with a speed of VA1=1.00 m/s. Then it undergoes a one-dimensional elastic collision (一维 的弹性碰撞) with stationary block B of mass MB=0.5MA.Next, block B undergoes a one-dimensional elastic collision with stationary block C of mass MC=0.5MB. (a) What then is the speed of block C? Are (b) the speed, (c) the kinetic energy, and (d) the momentum of block C greater than, less than, or the same as the initial value for block A(C的速度、动能、动量是比A大还是小还是相等?)? --

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