Problem 1: The energy E of a particle of mass m moving at speedv is given by: E2 = m2 c4 + p2 c2 (1) p=γmv (2) 1 γ = 1−v2/c2 (3)This means that if something is at rest, it’s energy is mc2. We candefine a kinetic energy to be the difference between the totalenergy of an object given by equation (1) and the rest energy mc2.What would be the kinetic energy of a baseball moving at half thespeed of light? Give your answer in Joules but also in tons of TNTequivalent. For context, the worst nuclear weapons are measured inmegatons. Do you think we could ever accelerate a baseball to halfthe speed of light?
Problem 2: As we said in lecture, if you heat something up, itbecomes more massive! Imagine you took 1 kg of water and heated itup by 50 deg C. By how much would it’s mass increase because ofthis heating? You might have to look up the heat capacity ofwater.
