100 gram nail is being hit by hammer of 1.5 kg with a velocity of 60 m/s. if one fourth of the energy is being utilized to melt the nail, then find the change in temperature. specific heat of nail= .42 J per gram per degree Celsius.

Options

A. `675^(@)` C
B. `1600^(@)` C
C. `16.07^(@) C`
D. `6.75^(@)C`

Explanation

`1/4` kinetic energy of hammer is converted into heat. Which is transfer to the nail.
`1/4(1/2 M_("hammer") xx v^(2)) = M_("nail") = sDeltatheta`
`(Deltatheta = 1/8(M_("hammer"))/M_("nail")) v^(2)s = (1.5 xx 20 xx 20)/(8 xx 100 xx 0.42) = 17.85^(@)` C