A metal plate of mass 50 g is heated to a temperature of $200^\circ\mathrm{C}$ and then immersed in 150 g of water at $20^\circ\mathrm{C}$. If the temperature of the water is $50^\circ\mathrm{C}$ at equilibrium, then the specific heat capacity of the metal is (specific heat capacity of water $=4200\ \mathrm{J\,kg^{-1}K^{-1}}$):