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Dynamics
Problems on Energy and Momentum
Problem 1.1:
What is the energy of a particle with mass 3.2×10-27 kilograms and velocity 0.9c?
[Solution]
Problem 1.2:
A particle has a momentum with magnitude 1.2×105 kgm/s and energy 4.42×10-11
Joules. What is its mass?
[Solution]
Problem 1.3:
Two protons approach each other from opposite direction, traveling with equal and opposite speeds 0.6c.
The collide to form a single particle that is at rest. What is the mass of this particle? (The proton mass is
1.67×10-27 kilograms).
[Solution]
Problem 1.4:
A particle of mass m and speed v approaches an identical particle at rest. The particles stick together
to form larger particle with mass M. What is the speed of the larger particle after the collision?
[Solution]
Problem 1.5:
Two particles with equal mass m approach each other with speed u. They collide to form a single
particle with mass M, which is at rest. Show the energy is conserved in the frame of the M particle.
[Solution]
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