Question

A ball moving with speed v hits another identical ball at rest. The two balls stick together after collision. If specific heat of the material of the balls is S, the temperature rise resulting from tision is

• A. $\frac{v^{2}}{8S}$
• B. $\frac{v^{2}}{4S}$
• C. $\frac{v^{2}}{2S}$
• D. $\frac{v^{2}}{S}$

Answer 1

Answer: (B)

$\frac{v^{2}}{4S}$

Answer 2

Kinetic energy of ball will raise the temperature of the system $\frac{1}{2}mv^{2} = (2m)S\Delta t$ ⇒ $\Delta t = \frac{v^{2}}{4S}$.