The ballistic pendulum used to be a common tool for the determination of the muzzle velocity...
A ballistic pendulum is a device that is used to determine the muzzle velocity of the bullet shot by a hunting rifle, for example. As you know, the velocity of the bullet fired by a rifle dictates the distance it can travel. Those who reload their own bullets may find this device helpful. When a bullet is fired broadside into a suspended 4x4 chunk of wood, the wood swings up from rest by an angle of 60 degrees. Together, the...
A ballistic pendulum is a device that is used to determine the muzzle velocity of the bullet shot by a hunting rifle, for example. As you know, the velocity of the bullet fired by a rifle dictates the distance it can travel. Those who reload their own bullets may find this device helpful. When a bullet is fired broadside into a suspended 4x4 chunk of wood, the wood swings up from rest by an angle of 60 degrees. Together, the...
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.A. 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, and...
3. The ballistic pendulum is a device used to measure the speed of a projectile, such as a bullet. The projectile, of mass m, is fired into a large block of mass M, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile together swing up to a maximum height h. Determine the relationship between the initial horizontal speed of the projectile, v, and the maximum heighth
A ballistic pendulum is used to measure the speed of bullets. In these experiments, a bullet is fired into a large block suspended by wires. The bullet is embedded in the block and the collision is inelastic. After the impact, the block swings forward and rises. a. If a 2.1-g bullet is fired at 440 m/s into a 4.0 kg block, how far will it swing up? (what is the maximum vertical displacement of the block?) b. Find an equation...
A ballistic pendulum, as shown in the figure, was a device used in the past century to measure the speed of bullets. The pendulum consists of a large block of wood suspended from long wires. Initially, the pendulum is at rest. The bullet strikes the block horizontally and remains stuck in it. The impact of the bullet puts the block in motion, causing it to swing upward to a height h. If the bullet has a mass of 12.8 g,...
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.Part AFind an expression for vo, the initial speed of the fired object. Express your answer in terms of some or all of the...
1. A 35 g bullet is fired into the bob of a ballistic pendulum of mass 4.75 kg. When the bob is at its maximum height, the string makes an angle of 55 with the vertical. The length of the pendulum is 4.0 m. Find the speed of the bullet before impact. (Hint: Consider Momentum and Energy Conservation)
A bullet of mass 8 g is fired into a 1.2 kg ballistic pendulum (a block of wood acting as the pendulum bob of a thin metal arm attached to a low friction pivot point) that is initially at rest. The bullet exits the block of wood with a speed of 180 m/s and the wooden block swings from its lowest point to a maximum height of 9.2 cm above that location. Determine the velocity of the bullet before it...
Derive the expression for the initial velocity v of a ballistic pendulum in terms of the swept-out angle theta. Use the following equations of momentum and energy conservation... When the projectile and the pendulum stick together, they have total mass m + M and we define their combined velocity to be V⃗ . The relationship from conservation of momentum is: mv = (m + M)V⃗ Conservation of energy requires the initial kinetic energy of the pendulum system to equal the...