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
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...
math - A ball is thrown into the air with an upward velocity of 20 ft/s. Its ...
Algebra 1 - Key: *** = my answer 8. A catapult launches a boulder with an upward...
Word problem - . A catapult launches a boulder with an upwark velocity pf 184 ...
Math help - A catapult launches a boulder with an upwark velocity pf 184 feet ...
science - a shell has an initial velocity of 450 feet per second, what is the ...
physics - A battleship simultaneously fires two shells toward two identical ...
Physics - A cannon shoots a shell at 42 degrees and at a velocity of 3000 m/s. ...
physics - A 1175-kg cannon shoots a 33-kg shell at an angle of 25° above the ...