问题 计算题

如图所示,质量为m1=0.4Kg的物体甲通过二段轻绳和一个轻质细弹簧悬挂在结点O。轻绳OB水平且B端与放置在水平面上质量为m2=0.5Kg的物体乙相连,轻弹簧OA与竖直方向的夹角θ=370,物体甲、乙均处于静止状态。(已知:sin370=0.6,cos370=0.8,tan370=0.75;g取10m/s2。)求:

(1)若轻弹簧的劲度系数为K=500N/m,则轻弹簧的伸长长度是多大?

(2)物体乙受到的摩擦力是多大?方向如何?

(3)若物体乙的最大静摩擦力等于12N,则欲使物体乙在水平面上不滑动,物体甲的质量m1最大不能超过多少?(将AO替换为细绳,保持O点位置不变)

答案

解:(1),TOA=5N 

X=TOA /K=0.01m

(2),TOB=3N

所以f=TOB=3N, 方向水平向左。

(3)当N时,

即物体甲的质量m1最大不能超过1.6kg。

阅读理解

Electric cars will not be really much cleaner than autos powered by mineral fuels until they rely less on electricity produced from usual coal-fired power plants.

“For electric vehicles to become a major green alternative, the power fuel has to move away from

coal, or cleaner coal technologies have to be developed,” said Jared Cohon, the chairman of a National

Research Council report released on Monday. About half of US power is produced by

burning coal, which gives off many times more of traditional pollutants than natural gas, and about

twice as much of the main greenhouse gas carbon dioxide. Nuclear and renewable power have to

generate a larger portion of US power for electric cars to become much greener compared to

gasoline-powered cars, Cohan, who is president of Carnegie Mellon University, said in an interview.

Advances in coal burning, like capturing carbon at power plants for permanent burial underground,

could also help electric cars become a cleaner alternative to vehicles powered by fossil fuels, he said.

Pollution from energy sources did $120 billion worth of damage to human health, agriculture and

recreation in 2008, and electricity was responsible for more than half of the damage, said the NRC

report.

Electric cars have their benefits such as reducing imports of foreign oil. But they also have hidden

costs. Materials in electric car batteries are hard to produce, which adds to the energy it takes to make

them. In fact, the health and environmental costs of making electric cars can be 20 percent greater

than usual cars, the report said.

The report estimated that electric cars could still cost more than gas-powered cars to operate and

manufacture in 2030 unless US power production becomes cleaner.

1. Why are electric cars not clean enough?

A. Because they run too slowly              B. Because they are too expensive

C. Because they rely on coal-fired power.      D. Because they give off more carbon dioxide.

2. We can infer from the passage that ______.

A. electric cars will soon take the place of gas-powered cars

B. no one holds hope for electric cars at present

C. electric cars waste more energy than before

D. some people believe that electric cars are cleaner

3. The underlined word “them” refers to “______”.

A. electric cars     B. batteries       C. producers        D. materials

4. Which of the following is NOT mentioned as a way to make electric cars cleaner?

A. Developing cleaner coal technologies.        B. Making electric cars run faster.

C. Generating more unclear power.             D. Making advances in coal burning.

单项选择题