问题 计算题

(18分)如图甲所示,P、Q为水平面内平行放置的金属长直导轨,间距为d,处在磁感应强度大小为B、方向竖直向下的匀强磁场中。一根质量为m、电阻为r的导体棒ef垂直放在P、Q导轨上,导体棒ef与P、Q导轨间的动摩擦因数为μ。质量为M的正方形金属框abcd的边长为L,每边电阻均为r,用细线悬挂在竖直平面内,ab边水平,金属框a、b两点通过细导线与导轨相连,金属框的上半部分处在磁感应强度大小为B、方向垂直框面向里的匀强磁场中,下半部分处在大小也为B、方向垂直框面向外的匀强磁场中,不计其余电阻和细导线对a、b点的作用力。现用一电动机以恒定功率沿导轨方向水平牵引导体棒ef向左运动,从导体棒开始运动时计时,悬挂金属框的细线的拉力T随时间t的变化如图乙所示,求:

(1)t0时刻以后通过ab边的电流;

(2)t0时刻以后导体棒ef运动的速度;

(3)电动机牵引力的功率P。

答案

见解析

本题考查法拉第电磁感应定律与牛顿运动定律的结合,当导线框静止不动时受力平衡,受到竖直向上的两个安培力的作用,由受力平衡及安培力F=BIl可求得线框电流大小,再由E=BLv可求得导体棒速度,由电动机功率P=Fv,F为牵引力,对导体棒F等于摩擦力与安培力之和,由此可求得牵引力F大小,再由第二问求得的速度大小带入P=Fv即可求得电动机功率大小

单项选择题

As the pace of life continues to increase, we are fast losing the art of relaxation. (1) you are in the habit of rushing through life, being on the go from morning till night, it is hard to (2) down. But relaxation is (3) for a healthy mind and body.Stress is a (4) part of everyday life and there is no way to (5) it. In fact,it is not the bad thing that it is often supposed to be. A (6) amount of stress is important to provide motivation and give (7) to life. It is only when the stress gets out of control (8) it can lead to poor performance and (9) health.The amount of stress a person can bear(10) very much on the individual. Some people are not afraid of stress, and such (11) are obviously chief material for managerial responsibilities. Others lose heart at first (12) of unusual difficulties. When exposed to stress, in (13) form, we react both chemically and physically. In fact we (14) a choice between escape and fight. But in more ancient days they made the (15) between life and death. The crises (危机)we meet today are (16) to be so extreme,but however little the stress,it requires the same response. It is when such a reaction (17) long,through continued exposure to stress,that health becomes (18) .Such serious conditions as high blood pressure and heart diseases have (19) links with stress. (20) we canno! remove stress from our lives we need to find ways to deal with it.It would be unwise to do so even it we could.So what do you think of stressWhat is your way to deal with it.

第(5)空应选择()

A.tolerate

B.solve

C.avoid

D.accept

名词解释