Rock and range

  • Thread starter Gank
  • Start date
  • #1
31
0

Homework Statement


Assuming that the rock launched by a catapult is released from ground level, show that the theoretical maximum range is:
R=2Mh/m, where M = mass of counterweight
m = mass of rock
h = height counterweight falls


Homework Equations



Ep=mgh
Ek=(mv^2)/2

The Attempt at a Solution



I equated the two expressions and then split the velocity into its components so this splits the Ek up into horizontal and vertical but I cant progress from here
 

Answers and Replies

  • #2
6,054
391
At what angle should a projectile be launched to obtain a maximum range?
 
  • #3
31
0
45degrees
 
  • #4
6,054
391
What is the range when the angle is 45 degrees and the magnitude of velocity is some v?
 

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