Question

Use the official mass (1 penny = 2.5g) to calculate the mass of 10 pennies. Show your work using dimensional analysis.

a. 25g
b. 20g
c. 30g
d. 15g

Answer 1

The mass of 10 pennies, each weighing 2.5 grams, is calculated using dimensional analysis to be 25 grams.

Step-by-step explanation:

To calculate the mass of 10 pennies, we can set up our equation using dimensional analysis. We know that one penny has a mass of 2.5 grams, so for 10 pennies it would be:

1. Multiply the mass of one penny by the number of pennies: 2.5g/penny × 10 pennies.
2. Since the unit of pennies cancels out, we're left with the unit of grams, which is appropriate for the size and weight of the coins.
3. Calculate the total mass: 2.5g × 10 = 25g.

The mass of 10 pennies is 25 grams.