All Problems

Laws of Conservation

Problem 1.167

Find the increment of the kinetic energy of the closed system comprising two spheres of masses \(m_{1}\) and \(m_{2}\) due to their perfectly inelastic collision, if the initial velocities of the spheres were equal to \( v_{1} \) & \( v_{2} \)

Reveal Answer
ΔT=−μ(v1−v2)2/2, where μ=m1m2/(m1+m2)\Delta T=-\mu\left(\mathbf{v}_{1}-\mathbf{v}_{2}\right)^{2} / 2, \text { where } \mu=m_{1} m_{2} /\left(m_{1}+m_{2}\right)
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