a cyclists coasts down a 6.6读hill at a steady sped of 8km/h.assuming a total mass of 75kg,what must the cyclist's power output to climb the same hill at the same speed?answer:p=375w

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a cyclists coasts down a 6.6读hill at a steady sped of 8km/h.assuming a total mass of 75kg,what must the cyclist's power output to climb the same hill at the same speed?answer:p=375w

a cyclists coasts down a 6.6读hill at a steady sped of 8km/h.assuming a total mass of 75kg,what must the cyclist's power output to climb the same hill at the same speed?answer:p=375w
a cyclists coasts down a 6.6读hill at a steady sped of 8km/h.assuming a total mass of 75kg,what must the cyclist's power output to climb the same hill at the same speed?answer:p=375w

a cyclists coasts down a 6.6读hill at a steady sped of 8km/h.assuming a total mass of 75kg,what must the cyclist's power output to climb the same hill at the same speed?answer:p=375w
我先翻译一下题目:
一个骑脚踏车的人总质量为75kg,从一个6.6°倾斜的小山下以8km/h匀速下坡,如果该人要以同样的速度匀速上坡,则他做功的功率为多少?
answer :下山重力做功功率 mgsinθV 摩擦力做功等于重力做功,重力做正功,摩擦力做负功,人不做功.
上山重力做负功,摩擦力做负功,人做正功.
人做功功率 P=2mgsinθV=2×75×10×sinθ×8×1000/3600=375w

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题目的意思是。。。一个人骑车在倾角为6.6度的山坡匀速下山的速度为8KM/H。问,如果一个体重为75KG的人以相同的速度匀速上坡需要输出多少功率。。。答案为375w
由已知条件可得 骑车人在下坡时 受力平衡 可以得到摩擦因数 u=tan6.6 -------(1)
在上坡时。。以同样的速度匀速上坡 受力也是平衡的得到(设:输出的力为 F 输出功率为 P 上坡速度...

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题目的意思是。。。一个人骑车在倾角为6.6度的山坡匀速下山的速度为8KM/H。问,如果一个体重为75KG的人以相同的速度匀速上坡需要输出多少功率。。。答案为375w
由已知条件可得 骑车人在下坡时 受力平衡 可以得到摩擦因数 u=tan6.6 -------(1)
在上坡时。。以同样的速度匀速上坡 受力也是平衡的得到(设:输出的力为 F 输出功率为 P 上坡速度为 v 受到的摩擦力为 f)
f=umgcos6.6 ------------------------- (2)
F=umgcos6.6+mgsin6.6 -----------(3)
P=F*v ----------------------- (4)
联立(1)(2)(3)(4)可以解得:
P=F*v=[f+mgsin6.6]*v=[umgcos6.6+mgsin6.6]*v=[mg(ucos6.6+sin6.6)]*v
=[75*9.8*(0.1157*0.9934+0.1149)]*2.222 --(这里带入数值计算 并且把速度v换算单位m/s)
=375.36

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