A firecracker is at rest on a frictionless horizontal table. The firecracker exp

Question

A firecracker is at rest on a frictionless horizontal table. The firecracker explodes into two pieces 2. Firecracket d. of unequal Before mass that move in opposite directions on the table. After Is the net force on the left piece always zero? Explain. i. ii. Is the net force on the system consisting of both pieces always zero? Explain. ili. Is the momentum of the left piece conserved? Explain. iv. Is the momentum of the system consisting of both pieces conserved? Explain. A block slides down a frictionless incline. The incline is fixed in place on a table. b. Incline at rest Is the net force on the block always zero? Explain. i. ii. Is the net force on the incline always zero? Explain. ii. Is the net force on the block-incline system always zero? (Hint: Draw free-body diagrams for the block, incline, and system consisting of both objects.) Explain. iv. Is the momentum of the block conserved? Explain. v. Is the momentum of the incline conserved? Explain. vi. Is the momentum of the block-incline system conserved? Explain.

Explanation / Answer

(I) No, net force on left particle is not zero after explosion. After explosion releases energy which creates impulse in both particles, each particle individually has some non zero force.

(II) As the net sum of all forces must remain force present initially, hence total sum of both forces should be zero. But again remember, as forces are acting on different bodies, they generate motion in both.

(III) No, as the left piece gains velocity or momentum after explosion, it does not conserve momentum on itself.

(IV) Yes, as the forces acting on both are equal and opposite, sum of momentum is always zero as initial was zero. Hence it is conserved

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