1- Suppose an electron traveling at 0.98c

What is the momentum of an electron in kilogram meters per second, taking the mass of an electron to be 9.11 10^-31 kg?

2- Suppose an asteroid with a mass of 1.2 10⁹ kg is heading towards the Earth at 35 km/s.

Part (a)Find the relativistic momentum of the asteroid in kilogram meters per second.

Part (b)Find the fractional change of this momentum, (p - p_nr) / p_nr, relative to the non-relativistic momentum p_nr.

3- The mass of a proton is 1.67 10^-27 kg.

Part (a)Find the rest energy in joules.

Part (b)Find the rest energy in mega-electron volts.

4- The Big Bang that began the universe is estimated to have released 10⁶⁸ J of energy.

How many stars could half this energy create, assuming the average star's mass is 3.5 10³⁰ kg ?

5- A supernova explosion of a1.1 10³¹kg star produces2.15 10⁴⁴J of energy.

Part (a)How many kilograms of mass are converted to energy in the explosion?

Part (b)What is the ratio m / m of mass destroyed to the original mass of the star?

6- The fission of 1 kg of uranium produces 8.0 10¹³ J of energy.

Part (a)Calculate the mass, in grams, converted to energy by the fission of 1.2 kg of uranium.

Part (b)What is the ratio of the converted mass to the original mass?

7- Alpha decay is nuclear decay in which a helium nucleus is emitted from an atom.

If the helium nucleus has a mass of 6.64 10^-27 kg and is given 4.75 MeV of kinetic energy, what is its velocity, as a ratio to the speed of light? You must assume the alpha particle is moving relativistically.