Superman leaps in front of Lois Lane to save her from a...

Superman leaps in front of Lois Lane to save her from a volley of bullets. In a 1-minute interval, an automatic weapon fires 150 bullets, each of mass $8.0 \mathrm{~g}$, at $400 \mathrm{~m} / \mathrm{s}$. The bullets strike his mighty chest, which has an area of $0.75 \mathrm{~m}^{2}$. Find the average force exerted on Superman's chest if the bullets bounce back after an elastic, head-on collision.

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Key Concepts

Momentum

Momentum is the product of an object's mass and velocity. In collision problems, understanding momentum is crucial as it describes the quantity that is transferred during impacts and helps in using conservation principles during analysis.

Impulse

Impulse is defined as the product of force and the duration for which it acts, and it equals the change in momentum of an object. It is essential when assessing the effects of collisions, particularly in scenarios involving multiple, sequential impacts.

Elastic Collision

In an elastic collision, both momentum and kinetic energy are conserved. In such collisions, if an object rebounds with the same speed in the opposite direction, the change in momentum is effectively doubled compared to the initial momentum, which is a key point in repeated impact scenarios.

Average Force Calculation

Calculating average force involves dividing the total impulse (or the cumulative change in momentum over a period of time) by the time interval during which the impacts occur. This concept is fundamental for determining the overall force experienced over a duration when multiple events contribute to momentum transfer.

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