All Problems

Laws of Conservation

Problem 1.167

Find the increment of the kinetic energy of the closed system comprising two spheres of masses m1m_{1} and m2m_{2} due to their perfectly inelastic collision, if the initial velocities of the spheres were equal to v1 v_{1} & v2 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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