A horizontally flying bullet of mass m gets stuck in a body of mass M suspended by two identical threads of length l (figure).
As a result, the threads swerve through an angle `theta`. Assuming `mlt ltM`, find:
(a) the velocity of the bullet before striking the body,
(b) the fraction of the bullet's initial kinetic energy that turned into heat.

A vertically oriented uniform rod of mass M and length l can rotate about its upper end. A horizontally flying bullet of mass m strikes the lower end of the rod and gets stuck in it, as a result, the rod swings through an angle alpha . Assuming that m lt lt M , find: (a) the velocity of the flying bullet, (b) the momentum increment in the system "bullet-rod" during the impact, what causes the change of that momentum, (c) at what distance x from the upper end of the rod the bullet must strike for the momentum of the system "bullet-rod" to remain constant during the impact.

A vertically oriented uniform rod of mass M and length l can rotate about its upper end. A horizontally flying bullet of mass m strikes the lower end of the rod and gets stuck in it as a result the rod swings through an angle alpha . Assuming that mlt ltM . find a. the velocity of the flying bullet: b. the moment change in the system bullet rod during the impact: what causes that change of momentum.

Two small balls of mass m each are suspended side by side by two equal threds to length L. If the distance between the upper ends of the threads be a, the angle theta that the threads will make with the vertical due to attraction between the balls is :

Two small balls of mass m each are suspended side by side by two equal threds to length L. If the distance between the upper ends of the threads be a, the angle theta that the threads will make with the vertical due to attraction between the balls is :

A bullet of mass 20 g hits a block of mass 1.98 kg suspended from a massless string of length 100 cm and sticks to it. The bullet flies down at an angle of 30º to the horizontal with a velocity of 200 m/s. Through what height the block will rise-

A bullet of mass m=50 gm strikes (Deltat~~0) a sand bag of mass M =5 kg hanging from a fixed point, with a horizontal velocity vec(v)_(p) . If bullet sticks to the sand bag then the ratio of final & initial kinetic energy of the bullet is

A bullet of mass m=50 gm strikes (Deltat~~0) a sand bag of mass M =5 kg hanging from a fixed point, with a horizontal velocity vec(v)_(p) . If bullet sticks to the sand bag then the ratio of final & initial kinetic energy of the bullet is