33. An unusual spring has a restoring force of magnitude F = (2.00 N/m)x + (1.00 N/m2 )x 2 , where x is the stretch of the spring from its equilibrium length. A 3.00 kg object is attached to this spring and released from rest after stretching the spring 1.50 m. If the object slides over a frictionless horizontal surface, how fast is it moving when the spring returns to its equilibrium length?
(A) 5.84 m/s
(B) 4.33 m/s
(C) 2.06 m/s
(D) 5.48 m/s
(E) 1.50 m/s

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統計: A(2), B(4), C(8), D(1), E(50) #2356594

詳解 (共 2 筆)

#4163211
   Ek =1.50 ∫F(x)dx ...
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#4744443
彈簧為保守力可定義位能 F為回復力要加負號
U=x^2+1/3x^3 
Umax(x=1.5)=3.375J=Ek,max=1/2 x 3 x v^2
得v=1.5m/s

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