Gravitational potential energy:
Pendulum SHM equations:
In a ballistic pendulum an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement θ as shown (Figure 1)
Find an expression for v0, the initial speed of the fired object.
Express your answer in terms of some or all of the variables m, M, L, θ and the acceleration due to gravity, g.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Collisions & Motion (Momentum & Energy) concept. You can view video lessons to learn Collisions & Motion (Momentum & Energy). Or if you need more Collisions & Motion (Momentum & Energy) practice, you can also practice Collisions & Motion (Momentum & Energy) practice problems.