All Problems

Laws of Conservation

Problem 1.171

A shell flying with velocity v=500 m/sv=500 \mathrm{~m} / \mathrm{s} bursts into three identical fragments so that the kinetic energy of the system increases η=1.5\eta=1.5 times. What maximum velocity can one of the fragments obtain?r

Reveal Answer
vmax⁡=v(1+2(η−1))=1.0 km per second. v_{\max }=v(1+\sqrt{2(\eta-1)})=1.0 \mathrm{~km} \text { per second. }
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