Question

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 bullet and chuck of wood has a mass of 2 kg. For supporting wires in length of 50 cm, a) show that as a result, the block swings up vertically a distance of 0.25 m, and b) correspondingly the woods change of potential energy is 4.9 Joules. For a bullet of mass 0.01 kg, what is the muzzle velocity of the bullet?

Answer 1

A te vertical distance g block = ARE AC logo 0.5X10s Go = 6.25m (6 In Initially hanging vertically, block was Considering the reference line is passing through block contre of mass So, Initial potential energy block abin gains a height of 0.25m energy migh. 2x0 25x9.8 = 4.9J: * Change in potential thingy of block = 4.9 5. how Potential = = 0.01 Rgin maus now Let of bullet muzzle velocity of bullet It's kinetic energy & mu? how this kinetic energy gets transformed into Potensial energy of block V=2849 - a v= 31.303 So muzzle velocity of bullt = 31.30 m/s.