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CloudDreamer7
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[SOLVED] Dynamics Question (water falling from the side of a tank)
A large tank rests on the ground and has a water level 10 m above the ground. Water issues from a small hole in the side, 1 m below the the surface of the water. How far from the side of the tank will the water hit the ground ? Is there another height at which if a hole were drilled there, the water from it would reach the ground at the same point? Justify ur answer.
as every logical person i assumed that water falls in projectile manner so on the x -axis you have x = v(x)t where x is the position where the water hits the ground, v(x) is the x-component of velocity and t is time; on the y-axis you have accelerated motion and so you have 2 eqns :
y = y0 + 1/2 gt^2 and t = v(y)/g
where v(y) is the y - component of velocity, y is the height, and y0 is the starting point.
i found the time t from here but i fail to go any further because i don't know how to get v(x) or sth that can help me find v(x).
Now this might not seem like an undergraduate problem but i am in 2nd yr and we are having sth like a general physics paper as a revision kinda thing. so this is in reality 1st yr dynamics staff. And its weird that i can't solved it because i used to be good in these. *sigh*
Homework Statement
A large tank rests on the ground and has a water level 10 m above the ground. Water issues from a small hole in the side, 1 m below the the surface of the water. How far from the side of the tank will the water hit the ground ? Is there another height at which if a hole were drilled there, the water from it would reach the ground at the same point? Justify ur answer.
The Attempt at a Solution
as every logical person i assumed that water falls in projectile manner so on the x -axis you have x = v(x)t where x is the position where the water hits the ground, v(x) is the x-component of velocity and t is time; on the y-axis you have accelerated motion and so you have 2 eqns :
y = y0 + 1/2 gt^2 and t = v(y)/g
where v(y) is the y - component of velocity, y is the height, and y0 is the starting point.
i found the time t from here but i fail to go any further because i don't know how to get v(x) or sth that can help me find v(x).
Now this might not seem like an undergraduate problem but i am in 2nd yr and we are having sth like a general physics paper as a revision kinda thing. so this is in reality 1st yr dynamics staff. And its weird that i can't solved it because i used to be good in these. *sigh*
