保守力場中的功與位能及其運動分析

📝 歷屆考古題

• 115年 hce_kmu 第31題
  A particle moves along the x-axis with an acceleration given by $a(t) = -kv^2$, where $v$ is the ins…
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• 114年 hce_kmu 第1題
  A particle moves in a track and its speed are recorded and plotted in the figure. Which statement is…
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• 114年 hce_kmu 第10題
  A particle experiences a force given by $F(x) = \alpha - \beta x^3$. Find the potential energy $U(x)$…
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• 112年 hce_kmu 第32題
  A force acting on an object moving along the $x$ axis is given by $F_x = (14x - 3x^2)\text{ N}$, whe…
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• 112年 hce_kmu 第36題
  A particle moves in the $xy$ plane, starting from the origin at $t = 0$ with an initial velocity hav…
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• 111年 hce_kmu 第2題
  Over a short interval near time $t = 0$ the coordinate of a bicycle in meters is given by $x(t) = 12t - 4t^3$…
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• 111年 hce_kmu 第34題
  A force of $\vec{F} = 3x^2\hat{i} + 4y\hat{j}$ acts on a particle, changing only the kinetic energy…
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• 111年 hce_kmu 第41題
  A wire of length $L$, Young's modulus $Y$, and cross-sectional area $A$ is stretched elastically by…
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• 109年 hce_kmu 第33題
  An unusual spring has a restoring force of magnitude $F = (2.00 \text{ N/m})x + (1.00 \text{ N/m}^2)x^2$…
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• 107年 hce_kmu 第37題
  A force $\vec{F} = (-4.0)x (\text{N/m}) \hat{i} + (2.0)y (\text{N/m}) \hat{j}$ is applied on a parti…
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• 107年 hce_kmu 第38題
  A single conservative force $F(x)$ acts on a particle that moves along an x axis. The particle has m…
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• 107年 hce_kmu 第39題
  In the figure, a block of mass $m = 20.0$ kg slides through a horizontal frictionless ground at a sp…
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• 106年 hce_kmu 第41題
  A $2.0 \text{ kg}$ particle moves along an x axis, being pushed by a variable force directed along t…
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• 106年 hce_kmu 第50題
  When a certain rubber band is stretched a distance $x$, it exerts a restoring force $F = ax + bx^2$,…
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• 106年 hce_kmu 第58題
  The position of a particle moving on x-axis is given by $x = 3.0 + 2.5t - 1.0t^3$, with $x$ in meter…
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