Projectiles-1
Classical Mechanics
Level
2
Two balls of equal mass and velocities are projected. One is projected vertically upwards and the other is thrown at angle of 60 degrees with the vertical. The ratio of their potential energy at the highest point is?
3:2
4:3
4:1
2:1
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
The highest point h for the first ball is v^2/2g where v is the initial velocity. So its potential energy at this point is m g v^2/2g. On the other hand the vertical initial velocity for the second ball is: v cos(60)=v/2 and that gives a highest point h=v^2/8g and a potential energy at this point m g v^2/8g.