A plate drops onto a smooth floor and shatters into three piecesof equal mass. Two of the pieces go off with equal speeds v at rightangles to one another. Find the speed and direction of the third piece

Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New York; there is negligible friction between his feet and the ice. A friend throws Olaf a ball of mass 0.400 kg that is traveling horizontally at 10.5 m/s. Olaf's mass is 72.8 kg. If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward? If the ball hits Olaf and bounces off his chest horizontally at 8.40 m/sm/s in the opposite direction, what is his speed vf after the collision?

? An object with total mass mtotal = 15 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.8 kg moves up and to the left at an angle of 0, = 24° above the -x axis with a speed of v, = 28.3 m/s. A second piece with mass m, = 5.2 kg moves down and to the right an angle of 02 = 29° to the right of the -y axis at a speed of v2 = 21.5 m/s.

An Astornaht floating at rest in space has run out of fuel in her jet pack. She realizes that throwing tools from her toolkit in the opppisye direction will help her propel backwards towards her space station. If the astronaut has a mass of 80 kg am she throws a hammer of a mass 4.5 kg at a speed of 4 m/a what will be the appropriate resultant velocity that carries her back to the space station.

A professional boxer hits his opponent with a 1075 N horizontal blow that lasts 0.190 s. The opponent's total body mass is 105 kg and the blow strikes him near his center of mass and while he is motionless in midair. (a) Determine the impulse (in kg m/s) the boxer imparts to his opponent by this blow. kg m/s (b) Determine the opponent's final velocity (in m/s) after the blow. m/s (c) Calculate the recoil velocity (in m/s) of the opponent's 5.0 kg head if hit in this manner, assuming the head does not initially transfer significant momentum to the boxer's body. m/s

A uniform soda can of mass 0.14 kg is 12.0 cm tall and filled with 1.31 kg of soda.  Two small holes are drilled in the can.  Determine the height of the center of mass of the can and soda (in cm) when 73 % of the soda is left.

A 42 g fire cracker is that rest at the origin when it explodes into three pieces. The first with the mass 12 g moves along the x-axis at 35 m/s. The second with a mass of 21 g moves along the Y axis at 29 m/s. Find the velocity of the third piece in m/s. 

In this problem, an astronaut is landing on the 6.1×1021 kg asteroid traveling at 9830 m/s and detonates a nuclear bomb. The asteroid will break into two pieces of equal mass. One piece will fly off at an angle of 30∘ and speed 9700 m/s. What will be the speed and angle of the second piece?

A 200,000 kg railroad car moving at 3.00 m/s couples up with (sticks together) with another 150,000 kg car at rest.  What is the final speed of the two cars immediately after the collision?

Mehul