The Student Room Group

Projectile motion as level

A spring with constant 260 Nm - 1 is used to build a canon.
A 500 gram ball is loaded into the canon compressing the spring.
When the spring is released the ball is fired out of the cannon.
a) the spring is compressed by 4 centimeters, show that the speed of the ball when it leaves the cannon is about 0.9 meters per seconds
b) the ball is fired at an angle of 30 degrees to the horizontal calculate the horizontal distance traveled by the ball

I could appreciate some help pls
so for a, use conservation of energy
1/2 k e^2 = 1/2 m v^2
and for b, use suvat to see how long ball takes to get up to max height, where final velocity v = 0, using appropriate suvat with initial velocity as u*sin(30)
then double this time and multiply it by horizontal velocity u*cos(30)

Quick Reply