11판/2. 직선운동

2-16 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 1. 11. 17:56
{vA=vj^vB=12vj^yB=yA+4[m]g=9.80665[m/s2] \begin{cases} v_A&=v\j\\ v_B&=\frac{1}{2}v\j\\ y_B&=y_A+4\ut{m}\\ g&=9.80665\ut{m/s^2} \end{cases} (a)\ab{a} 2aS=v2v02,2aS=v^2-v_0^2, 2aS=v2v022(g)(4[m])=(12v)2(v)2 \begin{aligned} 2aS&=v^2-v_0^2\\ 2(-g)(4\ut{m})&=\(\frac{1}{2}v\)^2-(v)^2\\ \end{aligned} v=32g3=1251961333[m/s]10.22762272801782[m/s]1×10[m/s] \begin{aligned} v&=\sqrt{\frac{32g}{3}}\\ &=\frac{1}{25}\sqrt{\frac{196133}{3}}\ut{m/s}\\ &\approx 10.22762272801782\ut{m/s}\\ &\approx 1\times10\ut{m/s}\\ \end{aligned}