150J of heat energy are required to raise the
temperature of 100g block of metal by 5°c. What is the
specific heat capacity of the metal ?

Btu/(lb-°F)J/(g-°C i mean this is the correct answer

0.300 J/(g*C)

Explanation:

Specific heat has a unit that describes the amount of heat (J) is required to raise a unit mass (g) by 1 degree temperature (C),  It should take the form of J/(g*C) if we stick with the metric units provided in the question.  Be aware that specific heat can be written in many different formats, all equivalent, but with differing measures.  Examples:

(BTU/kgC)

kJ/(mole*K)

J/(g*C)

and so on.  The specific heat for a material can be expressed in any of these formats.  There are all equivalent, just expressed with different units.

In this problem:  (150J)/[(100g)*(5C)] = 0.300 J/(g*C)

An accurate value of specific heat may be used for identification of the metal.  The closest I found is Barium (0.290 J/(g*C) and Zinc (0.388 J/(g*C)

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle