Suppose a gangster sprays Superman's chest with 3 g bullets at the rate of 100 bullets/min, and

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Suppose a gangster sprays Superman's chest with 3 g bullets...

Suppose a gangster sprays Superman's chest with $3 \mathrm{~g}$ bullets at the rate of 100 bullets/min, and the speed of each bullet is 500 $\mathrm{m} / \mathrm{s}$. Suppose too that the bullets rebound straight back with no change in speed. What is the magnitude of the average force on Superman's chest?

Key Concepts

Impulse-Momentum Theorem

This theorem relates the impulse applied to an object to the change in its momentum. It states that the impulse, which is the product of the force and the time interval over which it acts, equals the change in momentum. This concept is fundamental in analyzing collisions and impacts where forces act over short periods.

Momentum Change in Rebound Collisions

In rebound collisions where an object reverses its direction with no change in speed, the total change in momentum is twice the object's initial momentum magnitude. This is because the momentum vector reverses direction, effectively doubling the deviation from its original state, which is crucial for calculating forces in such interactions.

Force as the Rate of Change of Momentum

Force can be understood as the rate at which momentum changes over time. In scenarios where multiple impacts or collisions occur sequentially, the average force exerted on an object is calculated by dividing the total change in momentum by the time duration over which the impacts occur.

Unit Conversion in Rate Problems

Accurate calculations in physics often require consistent units, especially when dealing with rates. Converting units, such as from per minute to per second, is necessary to ensure that calculations of momentum, force, and other related quantities are dimensionally consistent and correct.

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