11판/5. 힘과 운동 I

5-16 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 2. 15. 21:57
$$ \begin{cases} m&=5.00\ut{kg}\\ v_0&=4.5\ut{m/s}\\ t&=11\ut{s}\\ \end{cases} $$ $$\ab{a}$$ $$a(t)=\frac{F(t)}{m},$$ $$ \begin{aligned} v(t)&=v_0+\Delta v\\ &=v_0+\int_0^t a(t)\dd t\\ \end{aligned} $$ $$ \begin{aligned} v(11)&=4.5+\int_0^{11} \frac{F(t)}{m}\dd t\\ &=4.5+\frac{1}{5}\int_0^{11} F(t)\dd t\\ &=4.5+\frac{1}{5}\\ &\cdot\bra{\frac{(2+6)\cdot2}{2}+3\cdot6+\frac{1\cdot6}{2}-\frac{(2+3)\cdot4}{2}-\frac{2\cdot4}{2}}\\ &=\frac{15}{2}\ut{m/s}\\ &=7.5\ut{m/s}\\ \end{aligned} $$ $$\ab{b}$$ $$x+$$