1. A muon and an antimuon are moving in opposite directions with velocities of -0.6 c and 0.6 c, respectively. When they collide, they can annihilate each other and turn into two photons. Both muon and antimuon have a mass of 105.66 MeV/c2. What is the total energy before the collision?

2. What is the energy of each photon?

3. What is the wavelength of each photon?

A particle has a rest mass of 6.55×10−27 kg and a momentum of 4.34×10−18 kg⋅m/s . Determine the total relativistic energy of the particle

PLEASE GIVE MORE THAN YES OR NO ANSWERS

a) Does the pitch of the noise made by striking a bottle get higher or lower as you fill the bottle with water?

b) Does the pitch made by blowing across the top of the bottle go up or down as you fill the bottle?

c) Why is there a difference between these two noises? In your answer, comment on the source of the noise in each case (i.e. What is vibrating?).

d) Using what you know about harmonics and resonance, explain how different pitches are created when you blow across the bottle opening with different liquid levels.

e) What wave property allows you to hear noise through a bottle held up to your ear when someone blows across the top of a bottle across the room, and how does the sound transmit from one bottle to the other? Will the pitch sound the same as the one made by the person across the room?

If 2.00 m3 of a gas initially at STP is placed under a pressure of 5.00 atm, the temperature of the gas rises to 30.0°C. What is the volume?

answer in m3

A dielectric-filled parallel-plate capacitor has plate area A = 20.0cm2 , plate separation d = 8.00mm and dielectric constant k = 3.00. The capacitor is connected to a battery that creates a constant voltage V = 15.0V . Throughout the problem, use ?0 = 8.85

A 8.6-kg cube of copper (cCu = 386 J/kg-K) has a temperature of 750 K. It is dropped into a bucket containing 5.1 kg of water (cwater = 4186 J/kg-K) with an initial temperature of 293 K. 1) What is the final temperature of the water-and-cube system? K Submit 2) If the temperature of the copper was instead 1350 K, it would cause the water to boil. How much liquid water (latent heat of vaporization = 2.26 × 106 J/kg) will be left after the water stops boiling? kg Submit 3) Let's try this again, but this time add just the minimum amount of water needed to lower the temperature of the copper to 373 K. In other words, we start with the cube of copper at 750 K and we only add enough water at 293 K so that it completely evaporates by the time the copper reaches 373 K. Assume the resulting water vapor remaining at 373 K. How much water do we need ?

If a nucleus has mass M, Z protons (mass mp) and N neutrons (mass mn) its binding energy is equal to

Assume a planet is a uniform sphere of radius R that (somehow) has a narrow radial tunnel through its center. Also assume we can position an apple anywhere along the tunnel or outside the sphere. Let F_R be the magnitude of the gravitational force on the apple when it is located at the planets surface. How far from the surface is there a point where the magnitude of the gravitational force on the apple is F_R/2 if we move the apple (a) away from the planet and (b) into the tunnel? Express you answer in terms of the variables given.

A mass 1 0.400 kg block is released from rest at the top of a frictionless track height one=2.90 m above the top of a table. It then collides elastically with a 1.00 kg mass that is initially at rest on the table. Assume a perfectly inelastic equation.

a) Determine the speed of the two masses just after the collision. b. How far away from the bottom of the table does the 1.00 kg mass land, given that the table is 1.60 m high?

A piston contains 410 moles of an ideal monatomic gas that initally has a pressure of 2.89

Two identical pucks collide on an air hockey table. One puck was originally at rest.

(a) If the incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0

Two blocks of mass mA = 5kg and mB = 7kg are connected by a cable of negligible mass on a pulley. The

pulley rotates on a frictionless axle, the cable doesn’t slip on the pulley, it has a radius r = 4cm and a mass mp = 10g. Block A is on an inclined ramp at an angle θ = 30◦ above the ground and there is a coefficent of

friction μk = 0.12 between block A and the ramp. Block B sits a distance d = 3m from the ground. The system is released from rest and block B descends. Calculate the speed of block B at the instant just before it hits the ground

(a) – 5 pts What is the observational difference between Type I and Type II supernovae? What physically happens during the Type Ia supernova? Why Type Ia supernovae are so important? What is core-collapsed supernova? Can it be Type Ia?

(b) – 5 pts What is called pulsar-wind nebula (PWN)? Describe qualitatively the multiwavelength radiation from PWN. What radiation mechanisms are involved? What energies of particles follow from observational data? What particles produce the observed radiation? How can the particle energies be estimated from observational data?

1) Does the magnetic field outside solenoid depend on the distance from solenoid?

2) How the magnetic field inside solenoid depends on the solenoid diameter?

3) What would happen to the magnetic field inside solenoid if it is bent?

4) Can you identify North and South poles of the solenoid you studied?

5) How can you prove that the magnetic field inside solenoid is uniform?

An opaque cylindrical tank with an open top has a diameter of 2.80 m and is completely filled with water. When the afternoon Sun reaches an angle of 31.2