第8章運動量Momentum原書 p.259–286

Key Equations重要な式

8.1 Linear Momentum, Force, and Impulse8.1 運動量、力、力積

impulse

力積

impulse–momentum theorem

力積・運動量定理

F_{net} Δ t

Δ p = F_{net} Δ t

linear momentum $p = m v$

運動量 $p = m v$

Newton’s second law in terms of momentum

英語のヒント

運動量で表したニュートンの第二法則

Newton’s second law in terms of momentum

F_{net} = \frac{Δ p}{Δ t}

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8.2 Conservation of Momentum8.2 運動量の保存

Law of conservation of momentum $p_{tot} = constant, p_{tot} = p_{tot}^{'}$
Conservation of momentum for two objects $p_{1} + p_{2} = constant, p_{1} + p_{2} = {p_{1}}^{′} + {p_{2}}^{′}$

英語のヒント

運動量保存の法則 $p_{tot} = constant, p_{tot} = p_{tot}^{'}$
二つの物体の運動量の保存 $p_{1} + p_{2} = constant, p_{1} + p_{2} = {p_{1}}^{′} + {p_{2}}^{′}$

angular momentum L = I $ω$

角運動量 L = I $ω$

8.3 Elastic and Inelastic Collisions8.3 弾性衝突と非弾性衝突

conservation of momentum in any collision, including elastic collisionselastic collision

英語のヒント

弾性衝突を含むあらゆる衝突における運動量の保存

conservation of momentum in any collision, including elastic collisionselastic collision

m_{1} v_{1} + m_{2} v_{2} = m_{1} {v^{'}}_{1} + m_{2} {v^{'}}_{2},

conservation of momentum in a perfectly inelastic collision

完全非弾性衝突における運動量の保存

conservation of momentum in a perfectly inelastic collision

m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v^{'}

conservation of momentum along x-axis for 2D collisions

英語のヒント

二次元衝突におけるx軸方向の運動量の保存

conservation of momentum along y-axis for 2D collisions

英語のヒント

二次元衝突におけるy軸方向の運動量の保存

m_{1} v_{1} = m_{1} {v^{'}}_{1} \cos θ_{1} + m_{2} {v^{'}}_{2} \cos θ_{2}

0 = m_{1} v^{'}_{1} \sin θ_{1} + m_{2} v^{'}_{2} \sin θ_{2}