What is the formula for ballistic pendulum?
½ (m+M)vf2 = (m+M)gh. Apply conservation of momentum to determine the relationship between vf and the bullet’s speed before the collision.
How do you find the initial speed of a ballistic pendulum?
By measuring the horizontal distance (range) of the projectile, you can determine its initial velocity. This gives you an independent check on the velocity V0 with which the ball is fired by the cannon. 6. The range is given by x = v0 t where V0 is the initial velocity of the ball and t is the time of flight.
What is the spring constant of a ballistic pendulum?
=2730 N/m
The ballistic pendulum’s effective mass is mc=116 g, and the spring’s constant is k=2730 N/m with an initial displacement of Δx=2.3 cm.
What is a ballistic pendulum physics?
A ballistic pendulum is a device used to determine the speed of a bullet. Use the masses of the block and bullet, the maximum height reached, and the concepts of conservation of momentum and energy to calculate the initial velocity of the bullet.
How does ballistic pendulum work?
ballistic pendulum, device for measuring the velocity of a projectile, such as a bullet. A large wooden block suspended by two cords serves as the pendulum bob. When a bullet is fired into the bob, its momentum is transferred to the bob. The bullet’s momentum can be determined from the amplitude of the pendulum swing.
How do you find initial velocity and final velocity?
Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. Use standard gravity, a = 9.80665 m/s2, for equations involving the Earth’s gravitational force as the acceleration rate of an object.
Is pendulum projectile motion?
The ballistic pendulum is a classic method of determining the velocity of a projectile. The ball is fired into the pendulum, which then swings up a measured amount. From the height reached by the pendulum, we can calculate its potential energy.
What is the speed of a pendulum?
When the pendulum starts to climb up again, the kinetic energy is converted to potential energy. In the question, the pendulum has a highest point at a height of 1m. The acceleration due to the gravitational force of the Earth is g= 9.8 m/s^2. Therefore the required speed at the lowest point is 4.427 m/s.
Why is the experiment called a ballistic pendulum?
The “ballistic pendulum” carries this name because it provides a simple method of determining the speed of a bullet shot from a gun. For the ballistic pendulum experiment, the projectile launcher from the projectile motion laboratory is mounted horizontally so that the pendulum can catch the emerging steel ball.
How to calculate the velocity of a ballistic pendulum?
Ballistic Pendulum. If a bullet of mass m = grams. and a muzzle velocity u = m/s = km/h = mi/h. is fired into a block of mass M = grams. then the velocity of the block and bullet after the impact would be. v = m/s = km/h = mi/h.
Can a ballistic pendulum dissipate kinetic energy?
The system can also dissipate kinetic energy in producing sound or heat. Since there are no external forces acting on the system at the time of the collision, linear momentum must be conserved in both cases. In this lab you will study an inelastic collision using a Blackwood ballistic pendulum.
Is the ballistic pendulum an example of a dissipative collision?
The ballistic pendulum is a classic example of a dissipative collision in which conservation of momentum can be used for analysis, but conservation of energy during the collision cannot be invoked because the energy goes into inaccessible forms such as internal energy.
What happens to the pendulum when the gun is fired?
Initially the pendulum is at rest. When the gun fires, the ball collides with the pendulum and is trapped in the catcher which then starts to swing. A ratchet and pawl system catches the pendulum at the height of its swing. The best way to understand this experiment is to divide it into three separate events.