Two astronauts on opposite ends of a spaceship are comparing lunches. One has an apple, the other has an orange. They decide to trade. Astronaut 1 tosses the 0.130kg apple toward astronaut 2 with a speed of vi,1 = 1.15 m/s . The 0.160kg orange is tossed from astronaut 2 to astronaut 1 with a speed of 1.25 m/s . Unfortunately, the fruits collide, sending the orange off with a speed of 1.06 m/s in the negative y direction. What are the final speed and direction of the apple in this case ?

Electron capture is a variant on beta-radiation.  The lightest nucleus to decay by electron capture is 7Be -- beryllium-7.  The daughter nucleus is 7Li -- lithium-7.  The electron is transformed into a massless particle (a neutrino): e − + 7 B e + ⟶ 7 L i + ν The initial electron is bound in the atom, so the beryllium mass includes the electron.  In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: 7 B e ⟶ 7 L i + ν The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole.  (Use uc and uc2 as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary.  Calculate the speed of the final lithium nucleus in km/s. (all the energy released goes into the lighter particle.  c = 300,000 km/s)

Electron capture is a variant on beta-radiation.  The lightest nucleus to decay by electron capture is 7Be -- beryllium-7.  The daughter nucleus is 7Li -- lithium-7.  The electron is transformed into a massless particle (a neutrino): e − + 7 B e + ⟶ 7 L i + ν The initial electron is bound in the atom, so the beryllium mass includes the electron.  In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: 7 B e ⟶ 7 L i + ν The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole.  (Use uc and uc2 as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary.  Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle.  c = 300,000 km/s)

In a very busy off-campus eatery, one chef sends a 201 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.79 m/s. Almost simultaneously, the other chef launches a 335 g veggie burger (with everything, but hold the horseradish) along the same counter from right to left at 2.47 m/s. The two delicacies collide head-on at the given speeds. The counter is practically friction-free due to accumulated grease. The two delicacies merge into a single, unbelievably savory serving.   In what direction does the merged meal move, if it moves at all? A) does not move B) to the right C) to the left   At what speed does it move in m/s? Enter a positive number.

The Moon's craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 5.06 ✕ 1012 kg (about a kilometer across) strikes the Moon at a speed of 14.8 km/s. A. How much kinetic energy (in J) is lost in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon. B. In October 2009, NASA crashed a rocket into the Moon, and analyzed the plume produced by the impact. (Significant amounts of water were detected.) Answer part (a) and (b) for this real-life experiment. The mass of the rocket was 2000 kg and its speed upon impact was 9000 km/h. speed of recoin (in m/s) loss of kinetic energy (in J)

In a very busy off-campus eatery one chef sends a 221 g broccoli-tomato-pickle-onion-mushroom pizza sliding down the counter from left to right at 1.59 m/s. Almost simultaneously, the other chef launches a 315 g veggieburger (with everything, but hold the horseradish) along the same counter from right to left at 2.27 m/s. The two delicacies collide head on at the given speeds. The counter is practically friction free due to accumulated grease. The two delicacies merge into a single, unbelievably savory serving.   In what direction does the merged meal move, if it moves at all? a. to the right b. to the left  c. does not move   At what speed does it move in m/s? (positive number).

While playing a game of billards, your 0.50kg cue ball, travelling at 1.9 m/s glances off a stationary 0.30 kg billard ball so that the billard ball moves off at 1.3 m/s at an angle of 32 degrees clockwise from the cue ball's original path. What is the final speed of the cue ball?

15 75 Vb+w だ h A block of mass m,-1.28 kg slides to the right at a speed of 2.46 m/s on a frictionless horizontal surface, as shown in the figure. It "collides" with a wedge of mass mw, which moves to the left at a speed of 1.13 m/s. The wedge is shaped so that the block slides seamlessly up the Teflon (frictionless!) surface, as the two come together. Relative to the horizontal surface, block and wedge are moving with a common velocity Vb+w at the instant the block stops sliding up the wedge. a) If the block's center of mass rises by a distance h = 0.38 m, what is the mass of the wedge? The gravitational acceleration is g = 9.8 m/s². Express your answer in kg.

In the four momentum treatment of relativistic particle collisions or decays, The mass of a particle is different for various observers. O Momentum and energy are still conserved in any inertial frame of reference. O The energy equals the sum of the momentum, pc, plus the mass, mc2. O The momentum and energy for a process are the same in all frames of reference.

Two railroad cars, each of mass 64000 kgkg and traveling 75 km/hkm/h in opposite directions, collide head-on and come to rest.       How much thermal energy is produced in this collision?