Answer to Question #280623 in Physics for Abdulrafiu

Question #280623

An anti-aircraft shell is fired vertically upward with a muzzle velocity of 100m/s. Calculate the maximum height it can attain

1
Expert's answer
2021-12-16T18:03:42-0500

According to the energy conservation law, the initial kinetic energy of the shell is equal to its potential energy at maximum height:


mv22=mgh\dfrac{mv^2}{2} = mgh

where v=100m/s,g=9.8m/s2,v = 100m/s, g = 9.8m/s^2, mm is the mass of the shell, and hh is the maximum height. Expressing hh, obtain:


h=v22g=100229.8510mh = \dfrac{v^2}{2g} = \dfrac{100^2}{2\cdot 9.8} \approx 510m

Answer. 510 m.


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