a) A spaceship flies by Earth at 0.90 c . It fires a rocket at 0.73 c in the bac

Question

a) A spaceship flies by Earth at 0.90c. It fires a rocket at 0.73c in the backward direction relative to the spaceship. What is the velocity of the rocket relative to Earth?
c
b) Estimate the increase in rest energy of a copper sample

[100 kg, c = 387 J/(kg · °C)]

if its temperature is increased 100°C.
kg
c) A spaceship moves by Earth at 2.20 108 m/s. A satellite moves by Earth in the opposite direction at 1.10 108 m/s. Use the Galilean transformation to calculate the velocity of the satellite relative to the spaceship. (Assume the spaceship moves in the +x direction. Indicate the direction with the sign of your answer.)

m/s

d) A proton

(m = 1.673 1027 kg)

is traveling at 0.4c. Calculate the relativistic momentum and the relativistic kinetic energy of the particle.

Please answer all parts and show all equations, there are 4 of them and show what is the final answer in each part!!

Explanation / Answer

a) We take the positive direction in the direction of the spaceship. Therefore

v=(u+v0)/(1+v0*u/c^2)

where u=-0.73c and v0=0.90c.

v=(-0.73c + 0.90c)/(1-0.73c*0.90c/c^2)=0.49c

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