In a ballistic pendulum experiment, projectile 1 results in a maximum height h o
ID: 1463391 • Letter: I
Question
In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 3.0 cm. a second projecting causes the pendulum to swing twice as high, h2 = 6.0 cm. The second projectile was how many times faster than the first? In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 3.0 cm. a second projecting causes the pendulum to swing twice as high, h2 = 6.0 cm. The second projectile was how many times faster than the first? The second projectile was how many times faster than the first?Explanation / Answer
h1 = 3 cm,h2 = 6cm
From conservation of energy
Kf+Uf =Ki+UI
(1/2)mv2 =mgh
v1 =[2gh1]1/2 = [2*9.8*0.03]1/2
v1 = 0.767 m/s
v2 =[2gh2]1/2 = [2*9.8*0.06]1/2
v2= 1.084 m/s
v2/v1 = 1.084/0.767
v2 =1.414 v1
The second projectile was 1.414 times faster than the first.