Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses. After the collision, B moves in the negative direction of the y axis at speed v/4. In what direction does A move, as an angle with respect to the x axis?
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- 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.)Two objects of masses m1 = 2.0 kg and m2 = 1.3 kg moving towards each other with speeds of 2.2 m/s and 3.1 m/s, respectively, collide inelastically. Calculate the amount of kinetic energy lost in this collision, in joules.A particle of mass m1 undergoes a one-dimensional elastic collision with a particle of mass m2 = 2m1 that is initially at rest. If particle 2 recoils at speed v2 = 1200 m/s, what is the speed of particle 1 before the collision?
- Object A has a mass of 50kg and is moving along the +x axis with a speed of 10m/s. Object B has a mass of 65kg, and is moving at 8m/s in the positive y direction. The two objects collide at the origin and stick together. What is their final velocity?The figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity v₁ of magnitude 10.9 m/s and angle 0₁ = 30.9°. Just after, it is traveling directly upward with velocity 2 of magnitude 8.80 m/s. The duration of the collision is 1.30 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat?A 100 kg astronaut A is moving at a velocity of 9 m/s and runs into a stationary astronaut B (mass = 150 kg). If this is an inelastic collision, what is the velocity of the astronaut B after the collision?
- Car A and Car B are traveling in the same direction (call it i^), with B behind A, and initial speeds vA=5.6 m/s, and vB = 6 m/s. The cars have identical mass m=103 kg, and they experience an elastic collision. Now, this collision is observed by a third person traveling in a car with constant velocity v=6 m/s, traveling in the same direction as the two cars. From the point of view of this person calculate the following: 1)The initial momentum of car A. 2)The initial momentum of car B. 3)The final momentum of car A (you might want to first calculate the final velocity of car A relative to the ground). 4)The final momentum of car B (you might want to first calculate the final velocity of car B relative to the ground). 5)The total final kinetic energy: 6)The total final kinetic energy as measured from the ground. 7)Based on the previous answers and your calculations of the total initial kinetic energy, does the third person conclude that the collision is:A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The electron and neutrino are emitted at right angles and have momenta of pe = 9.26×10−23 kg⋅m/s and pν = 5.98×10−23 kg⋅m/s , respectively. Determine the magnitude of the momentum of the second (recoiling) nucleus. Determine the angle between the momentum of the electron and the momentum of the second (recoiling) nucleus.As shown in the figure, a billiard ball with mass m, is initially at rest on a horizontal, frictionless table. A second billiard ball with mass m, moving with a speed 2.00 m/s, collides with m,. Assume m, moves initially along the +x-axis. After the collision, m, moves with speed 1.00 m/s at an angle of 0 = 54.0° to the positive x-axis. (Assume m, = 0.200 kg and m, = 0.300 kg.) After the collision y sin e Before the collision Py cos e Va cos o y sin o (a) Determine the speed (in m/s) of the 0.300 kg ball after the collision. m/s (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision. JAK|
- This amazing summer adventure is finally winding down with some pool. Unfortunately, this pool table is wonky and some of the balls are larger than the others! Anthony hits the cue ball (mass = 0.15 kg) and it moves at 5 m/s when it strikes head on into the number 3 ball (mass = 0.30 kg). After this inelastic collision, the cue ball moves off at 60 degrees relative to the +x axis and the number 3 ball moves off at -30 degrees relative to the +axis as shown. What were the speeds of the two balls after the collision?A particle of mass m = 1.1 kg and initial velocity v0 = 13 m/s directly to the right, strikes an initially stationary particle of mass M = 17.5 kg. The collision is inelastic. Afterwards, particle m is observed moving at a speed v = 4.5 m/s, at an angle θ = 59° from its initial direction of motion, and particle M is observed moving at a speed V, as shown in the figure. - What happens to V as v → 0? V → ∞ V → 0 V → (m/M)v0 V remains unchanged. -Write an expression for V as v0 → 0. You may assume terms like v0/v vanish. -Write an expression for V if θ = 0. Assume the balls do not stick together. -Write an expression for V if θ = 180°.