题干

在一实际问题中进行力的分解时,应先弄清该力产生了怎样的效果,然后再分解这个力,如图所示的三种情况中,均匀球都处于静止状态,各接触面光滑.为了讨论各接触面所受的压力,应该怎样对重力进行分解?若球的质量为m,将重力分解后,它的两个分力分别为多大?(已知斜面倾角为α)

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答案(点此获取答案解析)

解:(1)以小球为研究对象,将重力按效果进行分解,分解成垂直于挡板和垂直于斜面的两个分力,如图所示:

根据几何知识得到:

F1=mgsinα,F2=mgcosα;

⑵以小球为研究对

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CaliforniaCondor's Shocking Recovery

      California condors are North America's largest birds, with wing-length of up to 3 meters. In the 1980s, electrical lines and lead poisoning(铅中毒) nearly drove them to dying out. Now, electric shock training and medical treatment are helping to rescue these big birds.

      In the late 1980s, the last few condors were taken from the wild, and there are now more than 150 flying over California and nearby Arizona, Utah and Baja in Mexico.

      Electrical lines have been killing them off. “As they go in to rest for the night, they just don’t see the power lines,” says Bruce Rideout of San Diego Zoo. Their wings can bridge the gap between lines, resulting in electrocution(电死) if they touch two lines at once.

So scientists have come up with a shocking idea. Tall poles, placed in large training areas, teach the birds to stay clear of electrical lines by giving them a painful but undeadly electric shock. Before the training was introduced, 66% of set-freed condors died of electrocution. This has now dropped to 18%.

Lead poisonous has proved more difficult to deal with. When condors eat dead bodies of other animals containing lead, they absorb large quantities of lead. This affects their nervous systems and ability to produce baby birds, and can lead to kidney(肾) failures and death. So condors with high levels of lead are sent to Los Angeles Zoo, where they are treated with calcium EDTA, a chemical that removes lead from the blood over several days. This work is starting to pay off. The annual death rate for adult condors has dropped from 38% in 2000 to 5.4% in 2011.

        Rideout's team thinks that the California condors’ average survival time in the wild is now just under eight years. “Although these measures are not effective forever, they are vital for now,” he says. “They are truly good birds that are worth every effort we put into recovering them.”