Answer :
Final answer:
The statement is true. In a closed system with no external forces, the product of mass, velocity, and radius must remain constant for angular momentum to be conserved. Therefore, the velocity must increase by a factor of 5 when the radius decreases by a factor of 5.
Explanation:
The statement in the question is indeed true. The conservation of angular momentum involves the quantity mvr which is mass (m), times velocity (v), times radius (r). This quantity must remain constant in a closed system with no external forces. Therefore, if the radius is decreased by a factor of 5, the velocity must correspondingly increase by a factor of 5 to ensure that the product mvr remains unchanged and angular momentum is conserved.
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