A-body-of-mass-m-is-projected-with-a-speed-v-making-an-angle-with-the-vertical-What-is-the-change-in-momentum-of-the-body-along-the-Y-axis-between-the-starting-point-and-the-highest-point-of-its-

Question Number 16155 by Tinkutara last updated on 18/Jun/17

$$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{m}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{with}\:\mathrm{a} \\ $$$$\mathrm{speed}\:{v}\:\mathrm{making}\:\mathrm{an}\:\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the} \\ $$$$\mathrm{vertical}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{change}\:\mathrm{in} \\ $$$$\mathrm{momentum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{body}\:\mathrm{along}\:\mathrm{the}\:\mathrm{Y}- \\ $$$$\mathrm{axis};\:\mathrm{between}\:\mathrm{the}\:\mathrm{starting}\:\mathrm{point}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{highest}\:\mathrm{point}\:\mathrm{of}\:\mathrm{its}\:\mathrm{path}? \\ $$

Answered by ajfour last updated on 18/Jun/17

$${y}\:{component}\:{of}\:\:{initial} \\ $$$$\:\:\:\:\:\:\:\:{momentum}\:=\boldsymbol{{mv}}\mathrm{cos}\:\boldsymbol{\theta} \\ $$$$\:{y}\:{component}\:{at}\:{of}\:{momentum} \\ $$$$\:{when}\:{at}\:{highest}\:{point}\:{of}\:{its} \\ $$$$\:\:\:\:\:\:\:\:{path}\:=\:\mathrm{0} \\ $$$$\:\boldsymbol{{change}}\:\boldsymbol{{in}}\:\boldsymbol{{y}}-{component} \\ $$$$\:{of}\:\boldsymbol{{momentum}}\:=\:−\boldsymbol{{mv}}\mathrm{cos}\:\boldsymbol{\theta}\:. \\ $$

Commented by Tinkutara last updated on 19/Jun/17

$$\mathrm{Thanks}\:\mathrm{Sir}! \\ $$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com