A ball moving with speed u hits another identical ball at rest. The two balls stick together after collision and the loss of energy is all converted only to heat. If specific heat of the material of the balls is S, the temperature rise resulting from the collision is

\frac{u^{2}}{8 S}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{u^{2}}{4 S}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{u^{2}}{2 S}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{u^{2}}{S}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{u^{2}}{8 S}$
loss in kinetic energy during the collision of balls will raise the temperature of the system $\frac{1}{4} m u^{2} = (2 m) S Δ t \Rightarrow Δ t = \frac{u^{2}}{8 S}$

Suggest Corrections

Similar questions

Q. 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 the collision is:

A ball of mass $m$ moving with a speed $u$ collides elastically with another identical ball moving with velocity $u_{2}$ . Find the angle between velocities after collision if they collide obliquely and $u_{2}$ = 0

Q. A clay ball of mass m and speed v strikes another metal ball of same mass m, which is at rest. They stick together after collision. The kinetic energy of the system after collision is

Q. A ball of mass 0.50 kg moving at a speed of 5.0 m/s collides with another ball of mass 1.0 kg. After the collision the balls stick together and remain motionless. What was the velocity of the 1.0 kg block before the collision?

Q. A metal ball of mass

2 k g

moving with speed of

36 k m / h

is having a collision with a stationary ball of mass

3 k g

. If after collision, both the balls move together, the loss in kinetic energy due to collision is

Join BYJU'S Learning Program

A ball moving with speed u hits another identical ball at rest. The two balls stick together after collision and the loss of energy is all converted only to heat. If specific heat of the material of the balls is S, the temperature rise resulting from the collision is

The correct option is A u28Sloss in kinetic energy during the collision of balls will raise the temperature of the system 14mu2=(2m)S Δt⇒Δt=u28S

The correct option is A $\frac{u^{2}}{8 S}$
loss in kinetic energy during the collision of balls will raise the temperature of the system $\frac{1}{4} m u^{2} = (2 m) S Δ t \Rightarrow Δ t = \frac{u^{2}}{8 S}$