An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off to the left with speed vA. Piece B, of mass mB, travels off to the right with speed vB. (a) Use conservation of momentum to solve for vB in terms of mA, mB, and vA. (b) Use the results of part (a) to show that KA/KB = mB/mA,where KA and KB are the kinetic energies of the two pieces.

An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off to the left with speed vA. Piece B, of mass mB, travels off to the right with speed vB. (a) Use conservation of momentum to solve for vB in terms of mA, mB, and vA. (b) Use the results of part (a) to show that KA/KB = mB/mA,where KA and KB are the kinetic energies of the two pieces.

Similar questions

Consider a head-on collision between a Vulcan spaceship and a Romulan spaceship. Explain why the momentum of the Vulcan spaceship is not conserved. What momentum is conserved and why?
1. a) For a particle of mass m and velocity v, what are the momentum, and its (kinetic) energy? b) Discuss the principles of Conservation of Momentum and Conservation of Energy. Use the collision between two particles as an example.
Consider the ballistic pendulum setup: A bullet of mass m with speed vo hits a pendulum bob of mass M, suspended by a massless rope of length L. The bullet gets stuck inside, making the pendulum swing up to some height. The maximum height the pendulum can reach is solved below: L m M Solution: At the start, the bullet has a momentum muo. When they collide and the bullet gets inside, the speed of the combined masses can be obtained using conservation of linear momentum. muo (m+ M)v, where u is the speed of the combined masses. Therefore, we get Finally, we have h = V= m+ M At the instant the masses move, they initially have purely kinetic energy given by 1 m² 2 m+ M This kinetic energy becomes potential energy at the maximum height. We get 1 (m +1 ·(m + 1 m² 00² 2 (m+M)² g T= (m+ (m + M)v² m M)v². = VO- = 1 m² 2m+M 0 v². = (m + M)gh. Problem needs to solve: Show that the angle from the figure is given by 0 = cos-¹ (Provide full solution of the problem). m²V0² 2gL(m+M)2
A snowball is thrown with a speed of 42.0 km/h, giving it momentum with a magnitude of 2.00 Ns. The mass of the snowball, in grams, is what?
Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time, when they're not sleeping or eating, joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 0.0133 kg, 0.0223 kg, 0.0245 kg, and 0.0227 kg. At this very instant, the x- and y-components of the mice's velocities are, respectively, (0.637 m/s, –0.173 m/s), (–0.595 m/s, –0.435 m/s), (0.917 m/s, 0.933 m/s), and (-0.725 m/s, 0.787 m/s). Calculate the x- and y-components of Bryce's mice's total momentum, px and py. Px = kg-m/s Py = kg-m/s & TOOLS x10
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA. Solution: Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so: pBf + pAf = 0 Substituting the expression for momentum results to mBv_____ + _____mAv_____ = 0 Deriving the expression for the velocity of piece B results to v_____=(mA/m_____)vA
A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent was at rest at the origin of an xy coordinate system. The electron moves away from the origin with linear momentum (-7.8 × 10-22 kg m/s) î; the neutrino moves away from the origin with linear momentum (-2.8 × 10-23 kg m/s) j. What are (a) the magnitude and (b) angle (from the +x axis) of the linear momentum of the daughter nucleus? (c) If the daughter nucleus has a mass of 5.6 × 10-26 kg, what is its kinetic energy? (a) Number Units (b) Number i Units (c) Number i Units
a) A proton (p) of mass 1.43-u(unified atomic mass units) traveling with a speed 4.13 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space. b) A proton (p) of mass 2.48-u(unified atomic mass units) traveling with a speed 2.64 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space.
An object has a kinetic energy of 312 J and a momentum of magnitude 29.3 kg · m/s. (a) Find the speed of the object. _____m/s (b) Find the mass of the object. ______kg
A proton (p) of mass 1.93-u(unified atomic mass units) traveling with a speed 2.22 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision?(As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space.
please help me with this problem. Given: A ball of clay mass M/8 A larger mass as known as M is attached to a spring with spring constant k. A ball of clay mass "M/8" moves with speed "v" towards a larger mass M. As the a ball of clay hit and sticks on the a larger mass who was initially still. a) What would be the speed of the combination after the collision? b) How much did the spring compressed c) How long did it take for the spring to be compressed due to the collision?
It is generally a good idea to gain an understanding of the size of units. Consider each object and calculate the magnitude of their momentum in SI units. A ladybug with mass 32.90 milligrams flies by your head at 4.53 km/h. magnitude of the momentum: A 30.70 km boy walks at 4.27 km/h. magnitude of the momentum: A car with mass 997 kg is moving at a speed of 40.1 km/h. magnitude of the momentum: Based on the previous results, which scenario likely describes an object possessing 1 kg-m/s? a mosquito flying through a swamp a cat walking down a sidewalk a beetle walking across a jungle floor a tiger running after prey an elephant running across a field kg-m/s kg-m/s kg-m/s