Question

7-Ballistic Pendulum Data Studio File: "Ballistie Pendlds" Equipment List Qty Items PASCO Interface Rotary Motion Sensor Rod, 45 em Ballistic Pendulum 1Universal Table Clamp Introduction A ballistic pendulum is used to determine the muzzle velocity of a ball shot out of a Projectile Launcher. The laws of conservation of momentum and conservation of energy are used to derive the equation for the muzzle velocity. Theory The ballistic pendulum has historically been used to measure the launch velocity of a high speed projectile. In this experiment, a projectile launcher fires a steel ball (of mass mbal) at a launch velocity, Vo. The ball is caught by a pendulum of mass mpond After the momentum of the ball is transferred to the catcher-ball system, the pendulum swings freely upwards, raising the rod is hollow to keep its mass low, and most of the mass is concentrated at the end so that the entire system approximates a simple pendulum. During the collision of the ball with the catcher, the total momentum of the system is conserved. Thus the momentum of the ball just before the collision is equal to the momentum of the ball-catcher system immediately after the collision: center of mass of the system by a distance h. The pendulum mbaliVo Mv where v is the speed of the catcher-ball system just after the collision, and M-mball+ mpend During the collision, some of the ball's initial kinetic energy is converted into thermal energy. But after the collision, as the pendulum swings freely upwards, we can assume that energy is conserved and that all of the kinetic energy of the catcher-ball system is converted into the increase in gravitational potential energy where g -9.8 m/s, and the distance h is the vertical rise of the center of mass of the pendulum-ball system.

I put the theory on first page.

Answer 1

Yes we can find the launch speed of projectile weather it is too high or too low it doesn't matter. By using conservation of momentum and coservation of enrgy we can find the speed of any projectile at any speed.

these two law of conservation is always remain valid even at very high speed.