The given question is incomplete. The complete question is as follows.
A 10 kg iron ball is dropped onto a pavement from a height of 100 m. If half of the heat generated goes into warming the ball,find the temperature increase of the ball. (In Sl units, the specific heat capacity of iron is 450 J/kg.C degree).
Explanation:
In the given case, when the ball comes in contact with the pavement then its kinetic energy will be equal to potential energy of the ball before it was dropped. Half the K.E heats the ball.
As K.E = P.E = mgh
So, mgh = = 10,000 joules
And, half of this is 5,000 joules
As we know that
Q =
5000 =
= 1.11 degrees
Also, in the given situation
Since there is an m on both sides of the equation, we will divide both sides by m and the resulting equation will be as follows.
As, the result is independent of mass which is why the result is the same for any ball of any mass.