An electron-positron collider creates muons through the reaction et +e →µ* +µ. In the center-of-momentum frame, what is the minimum speed of the electron for this reaction to occur, in terms of the masses me and mu of the electron and muon? Oc(1-) 2m 7ne - my O This process can occur at any speed.

Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.

1) A 5-kg particle's momentum is (211, 329) kg*m/s.  Calculate its kinetic energy. 2)Calculate the x-component of vSJ. vS = 6 km/s vJ = 9 km/s θ = 23o 3) In Jupiter's frame, the incoming spacecraft is moving rightward and upward, at 45o.  The outgoing spacecraft, having already flown by, is going at the same relative speed, but leftward and upward, also at 45o.  (See the figures.)  You are going to transform back to the sun's frame and calculate the final outgoing speed.  You need to follow several steps: Calculate the vector components of the outgoing vSJ. Add Jupiter's vector velocity to get the outgoing vS. Finally calculate the outgoing speed, vS = |vS| in km/s.  Enter that as the final answer. use these parameters:  vSJ = 4 km/s vJ = 8 km/s

In 1977 the planet Alderaan, with a mass of 3 x 1024 kg, exploded. Assuming it was initially at rest and experienced no external interactions, 3. A) If the planet blew apart into two pieces with 40% of its mass flying away in one piece at 4,000 km/s, what speed did the rest of the planet have relative to its original frame? B) If the planet blew apart into three pieces, with 30% of its mass flying away at 3,000 km/s, and 20% of its mass flying away at 5,000 km/s at an angle of 120° relative to the velocity direction of the first fragment, what velocity did the rest of the planet have? Report the direction by specifying its angle relative to the velocity direction of the first fragment.