Problem 31P

(I) In a ballistic pendulum experiment, projectile 1 results in a maximum height f> of the pendulum equal to 2.6 cm. A second projectile (of the same mass) causes the pendulum to swing twice as high, h2 =5.2 cm. The second projectile was how many times faster than the first?

Solution 31P:

We have to obtain the relation between the velocities of projectile in both the situation.

Step 1 of 5

APPROACH:

The ballistic pendulum is a device used to measure the speed of the projectile. In this device, the projectile of mass is fired into a large block of mass , which is suspended like a pendulum. As a result of collision the projectile get embedded into the pendulum and the pendulum and projectile together swing up to a maximum height . We can analyze the process by using law of conservation of momentum and law of conservation of energy.