A 100 g of iron nail is hit by a 1 . 5 kg hammer striking at a velocity of 60 ms - 1 . What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail ? [Specific heat capacity of iron = 0 . 42 Jg - 1 C ∘ - 1 ]

Step-by-step solution

If we heat-up an object, then, the energy is used to either change the temperature of the body or to change the state of the body. If it changes the temperature, then, Q   =   m S ∆ T where, Q is the heat given, m is the mass and ∆ T is the change in temperature. We know that a moving object has an energy in the form of kinetic energy, i.e., K E = 1 2 m v 2 When that moving object strikes another object, it loses some energy which changes into the heat energy and this heat energy increases the