一辆电动自行车的铭牌上给出了如下的技术参数: 规格:车型26英寸电动自行车 一辆电动自行车的铭牌上给出了如下的技术参数表. ...

\u4e00\u8f86\u7535\u52a8\u81ea\u884c\u8f66\u7684\u94ed\u724c\u4e0a\u7ed9\u51fa\u4e86\u5982\u4e0b\u7684\u6280\u672f\u53c2\u6570\u8868\uff1a\u89c4\u683c \u540e\u8f6e\u9a71\u52a8\u76f4\u6d41\u7535\u52a8\u673a\u8f66\u578b26\u2033\u7535\u52a8\u81ea\u884c\u8f66\u989d\u5b9a\u7535\u538b\u4e0b

\uff081\uff09\u7535\u52a8\u673a\u6b63\u5e38\u5de5\u4f5c\u65f6\u8f93\u5165\u529f\u7387\u4e3a\uff1aP\u5165=UI=36\u00d73.5W=126W\u7531\u80fd\u91cf\u5b88\u6052I2r=P\u5165-P\u51fa\u5f97r=126-1203\uff0e52\u03a9\u22480.49\u03a9\uff082\uff09\u8f66\u884c\u9a76\u65f6\u6240\u53d7\u963b\u529b\u4e3af=k\uff08M+m\uff09g=0.1\u00d7\uff0830+50\uff09\u00d710N=80N\u5f53\u8fbe\u5230\u901f\u5ea6v\u65f6\uff0c\u6709P\u51fa=Fv\u5f97F=P\u51fav=1201.2N=100N\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8bF-f=\uff08M+m\uff09a\u5f97a=F-fM+m=100-8080m/s2=.25m/s2\u7b54\uff1a\uff081\uff09\u5219\u7535\u52a8\u673a\u7684\u7ed5\u7ebf\u7535\u963b\u4e3a0.49\u03a9\uff082\uff09\u5728\u7535\u52a8\u673a\u4ee5\u989d\u5b9a\u529f\u7387\u63d0\u4f9b\u52a8\u529b\u7684\u60c5\u51b5\u4e0b\uff0c\u5f53\u8f66\u901f\u4e3av=1.2m/s\u65f6\uff0c\u6b64\u4eba\u9a91\u8f66\u7684\u52a0\u901f\u5ea6\u4e3a0.25m/s2

\u7531\u8868\u683c\u8bfb\u51fa\u7535\u673a\u7684\u989d\u5b9a\u7535\u538bU=40V\uff0c\u989d\u5b9a\u7535\u6d41I=4A\uff0c\u989d\u5b9a\u8f93\u51fa\u529f\u7387P \u51fa =120W\uff0e\uff081\uff09\u7535\u673a\u8f93\u5165\u7684\u662f\u7535\u529f\u7387\uff0c\u603b\u529f\u7387\u7b49\u4e8e\u7535\u529f\u7387\uff0c\u5f97\u5230P \u603b =IU=40\u00d74W=160W \u6839\u636e\u80fd\u91cf\u5b88\u6052\u5f97\uff0c\u5185\u90e8\u53d1\u70ed\u529f\u7387P \u70ed =P \u603b -P \u51fa \uff0c\u53c8P \u70ed =I 2 r\u5219\u6709P \u603b -P \u51fa =I 2 r r= P \u603b - P \u51fa I 2 = 160-120 4 2 A=2.5A \uff082\uff09\u7535\u673a\u6b63\u5e38\u5de5\u4f5c\u65f6\u7684\u6548\u7387\u03b7= P \u51fa P \u603b =75%\uff083\uff09\u5728\u989d\u5b9a\u7535\u538b\u4e0b\uff0c\u7535\u673a\u7a81\u7136\u5361\u6b7b\u65f6\uff0c\u7535\u673a\u7535\u8def\u662f\u7eaf\u7535\u963b\u7535\u8def\uff0c\u6b27\u59c6\u5b9a\u5f8b\u6210\u7acb\uff0c\u5219\u6709P= U 2 r =640W\u7b54\uff1a\uff081\uff09\u6b64\u8f66\u7535\u673a\u7684\u5185\u963b\u662f2.5\u03a9\uff1b\uff082\uff09\u7535\u673a\u6b63\u5e38\u5de5\u4f5c\u65f6\u7684\u6548\u7387\u662f75%\uff1b\uff083\uff09\u5728\u989d\u5b9a\u7535\u538b\u4e0b\uff0c\u7535\u673a\u7a81\u7136\u5361\u6b7b\u65f6\uff0c\u7535\u673a\u7684\u603b\u529f\u7387\u662f640W\uff0e

(1)在额定功率下,当牵引力等于阻力时,速度达到最大值,
根据:P=Fv m
     F=f=k(M+m)g
得:v m =6m/s
(2)设此时加速度为a,
根据P=F 1 v 1 得: F 1 =
P
v 1
=
120
1
=120N

根据牛顿第二定律得:
a=
F 1 -k(M+m)g
M+m
=1m/s 2
答:(1)仅让电机在额定功率提供动力的情况下,人骑车行驶的最大速度为6m/s;
(2)仅让电机在额定功率提供动力的情况下,当车速为v 1 =1.0m/s时,人骑车的加速度a的大小为1m/s 2


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