All Problems Laws of Conservation
Problem 1.172
Particle 1 moving with velocity \(v=10 \mathrm{~m} / \mathrm{s}\) experienced a head-on collision with a stationary particle 2 of the same mass. As a result of the collision, the kinetic energy of the system decreased by \(\eta=1.0 \%\). Find the magnitude and direction of the velocity of particle 1 after the collision.
1.172. Will continue moving in the same direction, although this time with the velocity \(v^{\prime}=(1-\sqrt{1-2 \eta}) v / 2\). For \(\eta \ll 1\) the velocity \(v^{\prime} \approx \eta v / 2=5 \mathrm{~cm} / \mathrm{s}\)