momentum question?
A 0.20 kg ball is thrown straight up into the air with an initial speed of 11 m/s. Find the momentum of the ball at the following locations.
(a) at its maximum height
______ kg·m/s
(b) halfway to its maximum height
______ kg·m/s
I know that part a is supposed to be 0 but I dont really understand why. The final velocity would be 0, I know for the first part and momentum is velocity times mass and it would equal to 0. But I multiplied final velocity by mass for the 2nd part also but I did not get the right answer so I am confused. This is how I solved the 2nd part:
v = vo + at
0 = (11) + (-9.8)(t)
t= 1.122
So the time it would take to get to maximum height is 1.122 seconds.
delta y = vo t + 1/2 at^2
delta y = (11)(1.122) + .5 (-9.8)(1.122)^2
delta y = 6.1735
I divided the max height by 2 to get the height halfway to max and got 3.086.
v^2 = vo^2 + 2a (delta y)
v^2 = (11)^2 + 2 (-9.8) (3.086)
v^2 = 121 – 60.49
v^2 = 60.6144
v = 7.78 m/s
can someone please help?? Thank you!
Favorite Answer
For the second part, I believe you’ve worked out the problem correctly. The velocity halfway up should be sqrt(2)/2 of the initial velocity, which is roughly 7.78. I think that perhaps your problem is using the wrong momentum equation. I believe you’ll find it’s 1/2mv^2, the integral of the one you were using. Is the correct answer about 7.78 times the one you got?
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