A rocket is fired vertically upward. At the instant it reaches an altitude of 1 000 m and a speed of υi = 300 m/s, it explodes into three fragments having equal mass. One fragment moves upward with a speed of υ1 = 450 m/s following the explosion. The second fragment has a speed of υ2 = 240 m/s and is moving east right after the explosion. What is the velocity of the third fragment immediately after the explosion?

A joelshawon is a subatomic particle with a mass of 15.7g and it is made of a Joelon (mass 7.6g) and a Shawon (mass 8.1g). A joelon going 3.6 x 10^6 m/s to the east collides with a shawon going 1.1 x 10^6 m/s to the North. Determine the speed and direction of the resulting joelshawon

The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 5 x 10 m/s and the neutrino has a momentum of 5 x 1024 kg m/s. n as What is the recoil speed of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10 26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)

The carbon isotope 14C is used for carbon dating of archaeological artefacts. 14C decays to 14N by a process known as beta decay, in which the nucleus emits an electron (also known as a beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted in opposite directions to each other. The electron has a speed of 4 x 107 m/s and the neutrino has a momentum of 8 × 10-24 kg m/s. What is the recoil speed (in m/s) of the resulting 14N nucleus? (Take the mass of the carbon-14 and nitrogen-14 nuclei to be 2.34 x 10-26 kg and the mass of the electron to be 9.11 x 1031 kg. If you were aware of such things and concerned, please ignore relativistic effects.)

You release a 3-kg firecracker from rest. At t = 0.4 s, the firecracker is moving downward with speed 4 m/s. At this same instant, the firecracker begins to explode into two pieces with masses mtop = 1 kg and mbottom = 2 kg. At the end of the explosion (t = 0.8 s), the top piece is moving upward with speed 4 m/s.Determine the velocity of the bottom piece at t = 0.8 s.(Hints: Make a momentum vector diagram. Don’t forget to include impulse in your diagram!)

A firecracker sits at rest on a frictionless floor and explodes into three pieces. The velocities of two pieces are shown below; these particles have equal speed after the explosion. √1 1 √2 If Piece 2 is twice as massive as Piece 1, which choice shows the direction of Piece 3's velocity after the explosion? 0

Betty (mass 47 kg) stands on an ice rink as Bubbles (her hyperactive puppy, mass 6.9 kg)) runs towards her and leaps into her arms. If they move off together with a speed of 0.77 m/s, how fast (in m/s) was Bubbles moving when Betty caught her?

A missile of mass 1.05 102 kg is fired from a plane of mass 5.20 103 kg initially moving at a speed of 2.50 102 m/s. If the speed of the missile relative to the plane is 1.11 103 m/s, what is the final velocity of the plane?

A spinning ball of mass 0.3 kg hits the floor with a speed of 6 m/s with the angle 0 = 30°. What are the x and y components of the momentum just before the ball hits the floor? Px 0.9 kg m/s %3D Py -1.56 kg m/s %3D L. +y +x The net impulse delivered to the ball during this bounce is (-0.32 i+ 2.8 j) N s. What is the speed of the ball immediately after the bounce? Answer in m/s. Hint: the momentum impulse relation is a vector relation -- even though the question asks for speed you will need to find either the momentum vector or the velocity vector after the collision fırst before you can find the speed. What is the average normal force that the floor exerts on the ball during the collision if the ball is in contact with the ground for 0.382 seconds? Answer in terms of newtons. Hint: you need to take into account that y component of the net impulse is due to both the normal force and gravity. You can check your answer by repeating the question using Newton's 2nd law. >

In this problem, an astronaut is landes on the 6.1×1021 kg asteroid traveling at 9830 m/s and detonates a nuclear bomb. The asteroid breaks 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?