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Solved: A 3000-kg cannon is mounted so that it can recoil
Chapter 8, Problem 47(choose chapter or problem)
Problem 47PE
A 3000-kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate its recoil velocity when it fires a 15.0-kg shell at 480 m/s at an angle of 20.0º above the horizontal. (b) What is the kinetic energy of the cannon? This energy is dissipated as heat transfer in shock absorbers that stop its recoil. (c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?
Questions & Answers
QUESTION:
Problem 47PE
A 3000-kg cannon is mounted so that it can recoil only in the horizontal direction. (a) Calculate its recoil velocity when it fires a 15.0-kg shell at 480 m/s at an angle of 20.0º above the horizontal. (b) What is the kinetic energy of the cannon? This energy is dissipated as heat transfer in shock absorbers that stop its recoil. (c) What happens to the vertical component of momentum that is imparted to the cannon when it is fired?
ANSWER:
Solution to 47PE
Step 1 of 5
We need to calculate the recoil velocity of a 3000kg canon which can recoil only on horizontal direction. We have to find the kinetic energy of the canon and we have to comment on the vertical component of momentum when the shell is fired.
According to the conservation of momentum, the net change in momentum is zero,
is the initial momentum of canon
is the initial momentum of shell
final momentum of canon
final momentum of shell.
Free body diagram: