问题 多选题

如图所示,质量为1kg的物块放在倾角为37°的固定斜面上,若用一平行于斜面的力F推物块,物块和斜面保持静止,斜面与物块之间的最大静摩擦因数μ=0.5,重力加速度g取10m/s2,则外力F的大小可能为(  )

A.1N

B.6N

C.9N

D.12N

答案

物体重力的沿斜面向下的分力为:

G1=mgsin37°=10×0.6=6N;

垂直于斜面的分力为:

G2=mgcos37°=8N;

则最大静摩擦力为:

Fm=μFN=μG2=0.5×8=4N

若推力向上,由共点力的平衡条件可知,推力最小值为等于重力沿斜面向下的分力;故F=6N;此时静摩擦力为零;

增大推力后,摩擦力变大,当达到最大静摩擦力时,推力最大为F′m=4+6=10N;

而当推力向下时,最大静摩擦力小于重力的分力,物体不可能处于静止状态;

故外力最大为10N,最小为6N;

故BC正确;

故选:BC.

阅读理解

阅读下列应用文及相关信息,并按照要求匹配信息。请在答题卡上将对应题号的相应选项字母涂黑。(注意:选择答案E时,请在答题卡上同时涂A和B选项;选择答案F时,请在答题卡上同时涂C和D选项。)

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Standby time: Up to 240 hours       Weight: 5.08 ounces        

Dimensions: 4.68”×1.97”×0.90”

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Price: $99.99     Color display: Yes          Wireless Internet ready: Yes

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阅读下面信息介绍,并按照要求匹配信息。首先,请阅读下列信息:

小题1:Susan is at a middle school. Her parents want to buy her a cheaper cellphone without games installed.

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小题4:George would like to have a cheaper phone with digital camera.

小题5:Tom only buys Nokia. He lost one and he wants to buy another which is smaller.

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