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a 0.50 - kilogram cart is rolling at a speed of 0.40 meter per second. …

Question

a 0.50 - kilogram cart is rolling at a speed of 0.40 meter per second. if the speed of the cart is doubled, the inertia of the cart is

  1. halved
  2. doubled
  3. quadrupled
  4. unchanged

Explanation:

Step1: Recall Inertia Definition

Inertia depends on mass, not speed.

Step2: Analyze the Change

The cart's mass (\(0.50\,\text{kg}\)) doesn't change when speed doubles. So inertia (related to mass) remains unchanged.

Answer:

  1. unchanged