Inertia Physics Example 3

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Example 3

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A hockey puck (0.17 kg0.17 \text{ kg}) slides on frictionless ice at 25 m/s25 \text{ m/s}. A bowling ball (6 kg6 \text{ kg}) rolls at 3 m/s3 \text{ m/s}. Which object has more inertia, and which is harder to stop?

Solution

  1. 1
    Inertia depends solely on mass. The bowling ball (6 kg6 \text{ kg}) has more inertia than the puck (0.17 kg0.17 \text{ kg}).
  2. 2
    To stop the puck requires an impulse of p=mv=0.17×25=4.25 kg m/sp = mv = 0.17 \times 25 = 4.25 \text{ kg m/s}. To stop the ball requires p=6×3=18 kg m/sp = 6 \times 3 = 18 \text{ kg m/s}.
  3. 3
    The bowling ball is harder to stop because it has both greater inertia and greater momentum.

Answer

The bowling ball has more inertia and requires more impulse to stop.\text{The bowling ball has more inertia and requires more impulse to stop.}
Inertia is a property of mass alone, not velocity. However, stopping an object depends on both mass and velocity (momentum). The bowling ball has far more of both.

About Inertia

The intrinsic tendency of an object to resist any change in its state of motion, whether at rest or moving.

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