Ramos' penalty miss features in a third year university physics exam paper

Translated:

“Sergio Ramos, due to the pressure he felt, miscalculates the parameters of a penalty, and the ball, with mass m, is shot forming an angle Pi / 4 with the vertical and with a speed equal to half of the escape velocity. The ball did not make it into the goal. If the radius and the mass of the Earth, Rt and M, respectively, are given, and discounting the rotation of the Earth and the friction of the air:

a) calculate the constants of the movement of the ball.

b) if the International Space Station rotates in a circular orbit with the radius 3Rt, should its occupants be worried about a possible collision with the ball?

Credit to unamadridista
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LOOOOOOOOOOL, what next, trophy drop to feature in a parliament discussion about the eurozone

LOL at the Space station question there, also do you account for the gravitational pull when it is in the earth's atmosphere and then when it is not, plus calculate if it can really leave the atmosphere since the speed is half the escape velocity...

but i cnt answer this question

maybe babun can lol, he likes these kinds of questions

Click on the image to view the full size.

now im no physics guy, but since no friction came into play I assumed it was to be a basic joke question, so I solved it in a simple form. Basically in:

1) you have Ramos and his old hair waiting to take a penalty, I give the units and I calculate the escape velocity with constants and givens. As you can see, the radius of the earth to atmosphere (break of gravity) is 6371 km.

2) Using trigonometry I solved for the horizontal and vertical components...just seeing the angle made me laugh. After seeing the calculation you can see the ball was kicked directly upward...lolol Cos(pi/4) = 0.99

3) Then I solved for time, assuming gravity being the only force acting upon the ball. Velocity up equals velocity down so...

4) then using time I calculated the distance
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braylann

Then I drew a brief sketch.

This is where it gets more complicated and I don´t really know.

I assume since the ball was launched vertically and not horizontally, the escape velocity does not matter so much, and without friction the ball travels 1 kilometer past the gravitational pull of the atmosphere. At 1 kilometer out its going about 11 m/s which means that if the International Space Station rotates into the same area as the ball when the ball crosses 3Rt, Sergio Ramos will have officially destroyed the space station with his awful penalty and Real Madrid will no longer ever be able to call themselves Galacticos, but anti-galacticos

and assuming that the ball went directly through the middle of the goal, if someone wants to do a google image search 76.7 KM out of the bernabeu, we will know exactly where it lands and who may have found it

feel free to leave me positive voates, this took me my lunch break

i hate physics, thats why im in computers

Braylann

Give this person an award ffs

Although I admire your work, you're wrong.

11180 is not the speed that the ball leaves the earth atmosphere.

You cannot use that law, using the conservation of energy laws:



The rest should be correct though if you used the right velocity rather than the one you miscalculated.

Either way, good job if you're not a physics major

Oh also, pi/4 isn't equal to 90, pi is equal to 180 so it should be 45.

Good stuff braylann but i don't really know much Math (well to that degree), so can you just tell me if the ball will collide with the space station or not?

What imbecile writes these questions ?

I just came here to in the presence of greatness (braylann)

Any updated calculations (with the adjustments to what Potential pointed out)? BTW, braylann.

Also, to the teacher who made this test item.

The Verminator wrote:Good stuff braylann but i don't really know much Math (well to that degree), so can you just tell me if the ball will collide with the space station or not?

This.

Plus I would also like to know the exact position/location of the ball right now, is it still in our solar system or it has left the milky way galaxy, I really do not know anything about physic or whatsoever.

I'm deeply concerned about the safety of human race, are there any chances that it might turn to a 6mile long asteroid as a result of collision with several celestial body, and then sort of crash into our planet, like the Mayans predicted.

Looking at their calender below, the face sketch inside sort of resembles that of Segio Ramos, are the Mayans right...? Will Sergio Ramos Ball bring about the end of the world in 2012 as predicted by the Mayans...?




Thank for Bryant

gtfo with your maths noobs

This is what I think...
Bear in mind I haven't actually done this topic :L. I forgot to mention where braylann says gravity becomes negligible and it breaks free, but it doesn't get that high anyway. And I don't know how to adjust it for the varying gravitational field strength...
Maybe dos can help and do it relativistically .
And yes, I completely ignored significant figures :L.