How long did it take to fall?
What was the horizontal momentum:
Now find the vertical momentum, and add them as vectors.
Since they arrive at the same time, no vertical momentum is imparted by the explosion. Use the vertical distance that the 5 lb piece travels down from 837 ft, and the horizontal distance of 1564 ft, to get its horizontal velocity. Since momentum is conserved, the 2 lb piece acquires 2.5 times the horizontal velocity of the 5 lb piece but in the opposite direction. The vertical velocity component when it hits the ground is sqrt (2 g * 837 ft).
Use the vertical and horizontal components of V to get the megnitude.
It is falling from 837 feet
Do the vertical problem first
v = -32 t
d = -837 = -(1/2) a t^2 = -16 t^2
so t^2 = 52.3
t = 7.23 seconds
v at ground = -32 (7.23) = -231 ft/s
now call horizontal speed u
u is constant because there is no force in the horizontal direction
so speed = distance/time
u = 1564 ft/7.23 seconds = 216 ft/s
magnitude of speed = sqrt (u^2 + v^2) = sqrt (216^2 + 231^2) = sqrt(46795+53568)
= 316 ft/s
multiply that by the mass to get magnitude of momentum
Now I am not clear about the mass of this piece, 5 pounds or 5 kilograms
if it is five pounds use 5/32 for mass in slugs
Answer this Question
Physics - A cannon shoots a shell straight up. It reaches its maximum height, 1,...
Physics - A cannon shoots a shell straight up. It reaches its maximum height, 1...
algebra - a 3 1/2 foot piece of rope is cut into two pieces. one of these pieces...
Physics - 17. A shell having a mass of 25kg is fired horizontally eastward from ...
physics - 17. A shell having a mass of 25kg is fired horizontally eastward from ...
Algebra - 99 inch pipe is cut into two pieces. One is two times the length of ...
math - A wire 320 in. long is cut into two pieces. One piece is formed into a ...
Pre-Cal - A wire 360 inches long is cut into two pieces. One piece is formed ...
calculus - A wire 360cm is cut into two pieces.One piece is formed into a square...
math - A 42 inch board that's cut into two pieces. one piece is two times the ...