Kinematics question: - Plz help:) Tank & Gun & Bullet question:)
We don't know the speed of the tank's projectile, but we do know the velocity of the sound. The distance can be calculated as\[d = v_{sound} t_{sound}\] Then the speed of the projectile can be calculated as\[v_{shell} = {d \over t_{shell}}\]
Alternatively, we can express the speed of the shell in terms of the speed of sound and the time it takes for the sound and shell to reach the target tank if we note that both travel the same distance. Since\[d = vt\]and the distance is the same\[v_{sound} t_{sound} = t_{shell} v_{shell}\]\[v_{shell} = v_{sound} {t_{sound} \over t_{shell}}\]
in my book answer is given u=850m/s
i m nt getting 850 @eashmore
the answer you wrote is for the velocity of shell?
yeah of course
& s= 510 given in answer
510m.
yeah its 850. I get it. Wait i'll describe how i do it.
Oh. I know where I went wrong. I though the observer was on the tank being shot at, not the tank doing the shooting.
thought* ?
the shot is fired and the light is seen after 0.6 sec. Since, the velocity of light is enormous.. you can neglect the time required by light to take a return trip to eye of observer. So, basically the point is that the time taken by shot (shell) to reach target is 0.6 sec. let the velocity of shell be v therefore s=v*0.6.......... (1) Now, the sound is heard after 2.1 sec. so, the time taken by sound to reach observer after the explosion takes place is 2.1-0.6=1.5 sec so, s=340*1.5 therefore s=510m Putting this value in (1) v=850 m/s
i didn't understand the point how did u gt 1.5 sec @ujjwal
Yes, thought. Silly keyboard. :-P
^_^
@maheshmeghwal9 the time taken by shot to reach target is 0.6 sec. And the sound is heard after 2.1 sec. So, the time taken by sound to reach from the point where the target is to the observer is (2.1-0.6) sec=1.5 sec
so is it light or shell who reaches target in 0.6sec ?
It seems there are many things you didn't understand! Read my answer again. Or, start doing the easier problems in your book. That will help you learn the basics.
I have done upto 150 problems in kinematics from basic to higher & this is the last but I didn't gt this point actually. k! wait a minute I will read ur reply once again:)
And i have mentioned clearly in my above answer "So, basically the point is that the time taken by shot (shell) to reach target is 0.6 sec." you should read it properly!
but in ur first line u have written that "the shot is fired and the 'light' is seen after 0.6 sec. "
and when is the light seen? At the instant when the shot reaches the target!
I m getting confused:( Can u make me understand diagrammatically.
what happens when shot reaches target? It explodes.. boom!! And at the same instant the light is seen. So, the shot reaches the target exactly (almost exactly) at the same instant when light is seen, which is 0.6 sec in this question. Now use your brains! Read and re-read the answers.. If you still don't get it, solve more 150 problems! Or else you will find it difficult to get into IIT.
btw it doesn't depend on solving 150 more questions. It depends on "A person's common sense to understand everything clearly" however the question's language was a little bit confusing but i gt it now when i heard 'Boom' from u lol So in the end thanx a lot for gr8 explanation:)
Becoz the main theme was explosion BOOOOOOOOOOOOOOMMMMMMMMMM lllllllllloooooooooooooooooollllllllllllllllllllll
However I will follow u. I will solve 150 more^_^
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