问题 计算题

如图所示,AB是竖直平面内光滑的四分之一圆弧轨道,半径R=0.45m,BC是粗糙水平面,圆弧轨道与BC平面在B点相切。将质量为0.3kg的物块m从A点由静止释放,最终m停在C点,BC距离为1.5m;若在B点放置另一物块M,当m在A点以初速度V0= 4m/s沿轨道向下运动时,在B点与M发生碰撞(碰撞时间极短),碰后两物块粘在一起运动,最终停在C点。已知两物块与水平面的动摩擦因数相同,且均可视为质点。(g=10m/s2)求:

(1) m由静止释放经过圆弧最低点B点时对轨道的压力大小和物块与水平面间的动摩擦因数。

(2) 物块M的质量。

答案

(1)(2)

(1)物块m第一次由A到B由动能定理

                           (2分)

在B点          得:          (2分)

A到C全过程由动能定理    

,得          (2分)

(2)物块m第二次由A到B由动能定理

,得              (2分)

碰撞后停在C位置,故初速度与m由静止滑到B的速度相同

                                  (2分)

由动量守恒定律得                                    (2分)

                                        (2分)

(说明:其它方法求解,过程正确同样得分。)

单项选择题
阅读理解

阅读理解。

     The modern age is an age of electricity. People are so used to electric lights, radio, televisions, and

telephones that it is hard to imagine what life would be like without them. When there is a power failure,

people grope about in flickering candlelight, cars hesitate in the streets because there are no traffic lights

to guide them, and food spoils in silent refrigerators.

      Yet, people began to understand how electricity works only a little more than two centuries ago. Nature

has apparently been experimenting in this field for million of years. Scientists are discovering more and more

that the living world may hold many interesting secrets of electricity that could benefit humanity.

      All living cells send out tiny pulses of electricity. As the heart beats, it sends out pulses of record; they

form an electrocardiogram, which a doctor can study to determine how well the heart is working. The brain,

too, sends our brain waves of electricity, which can be recorded in an electroencephalogram. The electric

currents generated by most living cells are extremely small,often so small that sensitive instruments are needed

to record them. But in some animals, certain muscle cells have become so specialized as electrical generators

that they do not work as muscle cells at all. When large numbers of these cells are linked together, the effects

can be astonishing.

      The electric eel is an amazing storage battery. It can send a jolt of as much as eight hundred volts of

electricity through the water in which it lives. (An electric house current is only one hundred and twenty volts,

but two hundred and twenty volts in China.) As many as four-fifths of all the cells in the electric eel's body are

specialized for generating electricity, and the strength of the shock it can deliver corresponds roughly to length

of its body.

1. Electricity was invented ______. [ ]

A. when man had no candles

B. about 200 years ago

C. to be operating computers

D. by Thomse Edison

2. The following things can send out pulses of electricity except ______. [ ]

A. electric eels and human hearts

B. Electrical generators and animal muscle

C. Stones and dry wood

D. human brain and living cells

3. The electric current send out by an eel can be ______.[ ]

A. as much as 800 volts

B. about one hundred and twenty volts

C. as high as the house current in China

D. stored in the water where it lives

4. From this shot passage we can infer ______. [ ]

A. the shorter an eel is, the stronger electricity it produces

B. we can always feel the electricity produced by living cells

C. human beings get their knowledge about electricity from nature

D. people learn about electricity from eels