问题 计算题

(10分)如图所示,光滑斜面与水平面在B点平滑连接,质量为0.20kg的物体从斜面上的A点由静止开始下滑,经过B点后进入水平面(设经过B点前后速度大小不变),最后停在水平面上的C点。每隔0.20s通过速度传感器测量物体的瞬时速度,下表给出了部分测量数据。取g=10m/s2

 

t/s

0.00.20.41.21.4
v/m•s-10.01.02.01.10.7
求:

(1)物体在斜面上运动的加速度大小;

(2)斜面上A、B两点间的距离;

(3)物体在水平面上运动过程中,滑动摩擦力对物体做的功。

答案

(1)5.0m/s2(2)0.625m(3)0.625J

题目分析:(1)物体在斜面上做匀加速直线运动,设加速度为a1,则

a1=m/s2=5.0m/s2 ………………………………………3分

(2)设物体滑到B点所用时间为tB,到达B点时速度大小为vB,在水平面上的加速度为a2,则由数据表可知

a2=m/s2="-2.0" m/s2………………………………………1分

vB=a1tB………………………………………1分

1.1- vB=a2(1.2-tB)……………………………1分

解得tB=0.5s………………………………………1分

设斜面上A、B两点间的距离为xAB,则

xAB=a1tB2="0.625m" ………………………………………1分  

(3)设物体在水平面上运动过程中,滑动摩擦力对物体做的功为Wf,根据动能定理

Wf==0-J=-0.625J…………………………2分

点评:本题难度中等,该题为多过程问题,根据受力分析求解加速度,转化为运动学问题之后利用运动学公式求解,对于摩擦力做功,由于不知道动摩擦因数,所以可借助动能定理求解

阅读理解

If you are lost in the mountains, stay calm in the face of darkness, loneliness, and the unknown. It will greatly increase your chances of survival. Many people think that   preparing necessary equipment and knowing how to use it are very important, but in fact eighty percent of mountain survival is your reaction(反应) to fear.

Finding a hiding place

Unnecessary labor (劳动) will make you sweat and make you cold. Find a hiding place around you before trying to start your own construction. If you are in a snow-covered area, you may be able to dig a cave in deep snow for protection from the wind. You should try to hide yourself in the middle of the mountain if possible. Stay out of the valleys--- cold air falls, and the valley floor can be the coldest area on the mountain.

Signal(发信号) rescuers for help

The best time to signal rescuers is during the day. Signal for help from the highest point possible--- it will be easier for rescuers to see you, and any sound you make will travel farther. If you take a box of matches and a space blanket ( a special blanket for traveling ), build three smoky fires and put your blanket ---gold side facing out --- on the ground.

Do not walk away

It will make finding you more difficult , as search teams will be trying to follow your path and may miss you if you have gone off in a different direction. Searchers often end up finding a car with no one in it. If you get frostbitten(冻伤) , do not rewarm the affected area until you are out of danger.

You can walk on frostbitten(冻伤) feet, but once you warm the area and can feel the pain, you will not want to walk anywhere. Try to protect the frostbitten area and keep it dry until you are rescued.

小题1: When lost in the mountains, you can increase your chances of survival if you _____.

A.take a space blanket with you

B.do more physical labor

C.try to find a car immediately

D.walk as far as possible小题2: According to the passage, people most probably fail to survive if they ______

A.do not take enough equipment

B.stay in the middle of the mountain

C.do not keep themselves warm

D.stay in a snow-covered area小题3:What can we infer from the passage?

A.Don’t travel by yourself

B.Mountain traveling is dangerous

C.Don’t get frightened in danger

D.Avoid going to unfamiliar places小题4: Which statement is not true according to the passage?

A.If lost in the mountains, you must try to find a way out quickly.

B.Stay out of the valleys when looking for a hiding place

C.The best time to signal rescuers is during the day

D.With a space blanket, you can put it on the ground---gold side facing out

单项选择题 A1/A2型题