A3.50 kg block of lead at 14.4°c comes in contact with a block of copper at 88.4°c. they come to equilibrium at 55.9°c. what was the mass of the copper block? (unit=kg)

1.48 kg

Explanation:

The conservation of energy states that energy cannot be created or destroyed but can be converted from one form to another. Hence, in this case, energy lost by the copper should equal to the energy gained by the lead. Hence,

Energy Lost by Copper = Energy Gained by Lead

mcT = mcT (Bolded is for copper, italicised is for lead)

m(387)(88.4 - 55.9) = (3.50)(128)(55.9 - 14.4)

12577.5m = 18592

             m = 1.48 kg (3 sf)

(Note: Thermal energy can be calculated using Q = mcT where m is the mass, c is the specific heat capacity and T is the change in temperature)

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .