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Classical Mechanics Level 4

A cannon can fire shells at speed $u$ in all the directions. If the maximum volume of space within which it can shoot down an enemy airplane can be expressed as $V=\frac{\pi}{\alpha} \frac {u^6}{g^3},$ find the value of $\alpha.$

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The answer is 4.

1 solution

Suhas Sheikh
Jun 12, 2018

We know the equation of the envelope As y=u^2/2g - gx^2/2u^2 Hence finding the volume of the paraboloid becomes straightforward from there on

Please elaborate how do you get the equation of the envelope, this will help others understand your solution better.

Rohit Gupta - 2 years, 12 months ago

@Saitama Lawliet Yup...same way!! Hey, btw I read on your profile, you are from India?? Where from exactly??

Aaghaz Mahajan - 2 years, 12 months ago

I am from Mumbai :)

Suhas Sheikh - 2 years, 12 months ago

Oh thats cool!! I'm from NCR..........in eleventh class.....!!

Aaghaz Mahajan - 2 years, 12 months ago

@Aaghaz Mahajan – @Suhas Sheikh A death note fan are you??!! Same here btw.....!!

Aaghaz Mahajan - 2 years, 12 months ago

@Rohit Gupta sir could u pls tell how u got the answer for this problem https://brilliant.org/problems/laws-of-motion0/?ref_id=1542616

Aakhyat Singh - 2 years, 9 months ago

@Rohit Gupta Yes sir, please share your approach of solving the question mentioned above, by @Aakhyat Singh ....

Aaghaz Mahajan - 2 years, 9 months ago

I've written a solution to the problem.

Rohit Gupta - 2 years, 9 months ago

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The answer is 4.

1 solution

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