兩靜止物體A和B,其質量比為1:4,若它們受相同的力作用而開始運動,1秒後兩物體動能之比為多少?

2015-11-19 2:04 pm

回答 (1)

2015-11-20 9:27 am
✔ 最佳答案
a1 = F/m, a2 = F/4m

v1 = a1*t = F*t/m, v2 = a2*t = F*t/4m


E1 = 0.5*m*v1^2 = 0.5*(F*t)^2/m

E2 = 0.5*(4m)*v2^2 = 0.5*4m*(F*t)^2/16m^2 = 0.5*(F*t)^2/4m


=> E2/E1 = 4


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