II. Reasoning with proportions Many useful physics quantities are ratios or prop
ID: 1405097 • Letter: I
Question
II. Reasoning with proportions Many useful physics quantities are ratios or proportions, and proportional reasoning is a powerful tool for quantitative calculations. A. A certain stone has a mass of 120 g and a volume of 60 cm3. 1. Consider the quantity 2 = 120/60. 1. What is the name of the quantity in this context (if it has one)? ii. What is the interpretation of the quantity in this context? (Recall that an interpretation often begins with It is the number of...) iii. Use the interpretation to find the mass of 7 cm^3 of the same kind of stone. 2. Consider the quantity 0.5 - 60/1 20. j. What is the name of the quantity in this context (if it has one)? ii. What is the interpretation of the quantity in this context? iii. Use the interpretation to find the volume of 13 g of the same kind of stone.Explanation / Answer
ANSWER:
GIVEN DATA:
MASS OF A STONE=120 g
VOLUME OF A STONE = 60CM3
1) FROM THE RELATION DENSITY = MASS/VOLUME
2= 120/60 MEANS IT DENOTES THE DENSITY OF STONE
BUT IF IT IS 1 THE VOLUME GETS DOUBLED SO DENSITY BECOMES 1g/cm3
2) HERE THE INTERPRETATION IS 1g/cm3 IS THE DENSITY OF WATER
3) USING THIS INTERPRETATION
MASS OF A STONE IN A WATER = DENSITY OF WATER X VOLUME OF TEH STONE (7cm3)
MASS = 1g/cm3 x 7cm3
MASS = 7 g