Answer:
a) 5.03 kg m/s
b) 10.03 kg m/s
Explanation:
Hi!
Let us consider the origin of coordinates at the pitcher, and pointing directly towards the initial direction of the ball. Therefore, the angle of the velocity with respect to the x axis is -35° (below the horizontal).
The components of the initial momentum are:
px = (0.3 kg)(15 m/s) cos(-35° ) = 4.5 cos(-35° ) kg m/s = 3.69 kg m/s
py = 4.5 sin(-35° ) kg m/s = -2.581 kg m/s
The final momentum will be:
a)
pfx = 0
pfy = - (20 m/s) (0.3 kg) = -6 m/s
And the difference in momentum is:
dpy = pfy - py = -3.419 kg m/s
dpx = pfx - px = -3.69 kg m/s
And its magnitude:
dp = √(dpy^2 + dpx^2) = 5.03 kg m/s
b)
pfx = -6 kg m/s
pfy = 0
And the difference in momentum is:
dpx = pfx - px = -9.69 kg m/s
dpy = pfy - py = 2.581 kg m/s
And its magnitude:
dp = √(dpy^2 + dpx^2) = 10.03 kg m/s
-- Energy from the sun was absorbed by grass, grain, and hops, making it possible for them to grow.
-- The grass was eaten by livestock, and turned into stored beef energy.
-- The grain was harvested, pounded into flour, baked, and turned into stored bread energy.
-- The hops were harvested, soaked, and turned into stored beer energy.
-- Johannes Brahms ate beef, which his body turned into brain and muscle energy. Ludwig van Beethoven drank beer, which his body turned into energy and inspiration. John Phillip Sousa ate bread, which his body turned into leg energy to march with.
-- All of these individuals, and a lot of others, composed music which nobody had ever heard before, using the solar energy they absorbed from the stuff that they ate and drank.
a,c,d, is your answer I think I hope it helps
