Answer to Question #104549 in Mechanics | Relativity for havefun7741

Question #104549
https://upload.cc/i1/2020/03/03/UFc9i5.jpg

d8 is 4
1
Expert's answer
2020-03-06T10:27:55-0500

i)


u=dT=40+80+605+4+3=15msu=\frac{d}{T}=\frac{40+80+60}{5+4+3}=15\frac{m}{s}

ii)


s=(40cos30i40sin30j)+80i++(60cos50i+60sin50j)\bold{s}=(40\cos{30}\bold{i}-40\sin{30}\bold{j})+80\bold{i}+\\+(60\cos{50}\bold{i}+60\sin{50}\bold{j})

s=(153i+26j) m\bold{s}=(153\bold{i}+26\bold{j})\ m

iii)


v=(153i+26j)5+4+3=(12.8i+2.2j)ms\bold{v}=\frac{(153\bold{i}+26\bold{j})}{5+4+3}=(12.8\bold{i}+2.2\bold{j})\frac{m}{s}

iv)


v=12.82+2.22=12.9msv=\sqrt{12.8^2+2.2^2}=12.9\frac{m}{s}

θ=arctan2.212.8=9.6°\theta=\arctan{\frac{2.2}{12.8}}=9.6\degree


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