Question: a) A particle moves in a force field given by F = (6r+4)r where F is the position vector of the particle. Prove that

a) A particle moves in a force field given by F = (6r+4)r where is the position vector of the particle. Prove

a) A particle moves in a force field given by F = (6r+4)r where F is the position vector of the particle. Prove that the angular momentum of the particle is conserved. [2 marks] b) Show that F = (2xy + z)i+x + 3xzk is a conservative force field. [3 marks] a) A particle moves in a force field given by F = (6r+4)r where is the position vector of the particle. Prove that the angular momentum of the particle is conserved. [2 marks] b) Show that F = (2xy + z)i+x+3xzk is a conservative force field. [3 marks]

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