Answer :
Sure! Let's solve the two parts of the question step-by-step:
### Part 1: Mass Difference
1. Understand the problem: We need to find out how many more grams the mass of a quarter is compared to the mass of a robotic insect.
2. Convert the mass of the insect:
- The mass of the insect is given as 80 milligrams.
- To convert milligrams to grams, we divide by 1,000 (since 1 gram = 1,000 milligrams).
- So, the mass of the insect in grams is:
[tex]\[ 80 \, \text{mg} = \frac{80}{1000} = 0.08 \, \text{grams} \][/tex]
3. Calculate the difference in mass:
- The mass of the quarter is given as 5.67 grams.
- We need to subtract the mass of the insect from the mass of the quarter:
[tex]\[ 5.67 \, \text{grams} - 0.08 \, \text{grams} = 5.59 \, \text{grams} \][/tex]
So, the mass of the quarter is 5.59 grams more than the mass of the robotic insect.
### Part 2: Water Poured Out
1. Understand the problem: We need to find out how much water Newton poured out from the beaker.
2. Info about the beaker:
- The beaker initially holds 2 liters of water.
- Since 1 liter = 1,000 milliliters, 2 liters = 2,000 milliliters.
3. Calculate the water poured out:
- After pouring out some water, 1,025 milliliters remain in the beaker.
- Subtract the remaining water from the initial amount to find out how much was poured out:
[tex]\[ 2,000 \, \text{milliliters} - 1,025 \, \text{milliliters} = 975 \, \text{milliliters} \][/tex]
So, Newton poured out 975 milliliters of water.
I hope this detailed explanation helps! If you have any questions, feel free to ask.
### Part 1: Mass Difference
1. Understand the problem: We need to find out how many more grams the mass of a quarter is compared to the mass of a robotic insect.
2. Convert the mass of the insect:
- The mass of the insect is given as 80 milligrams.
- To convert milligrams to grams, we divide by 1,000 (since 1 gram = 1,000 milligrams).
- So, the mass of the insect in grams is:
[tex]\[ 80 \, \text{mg} = \frac{80}{1000} = 0.08 \, \text{grams} \][/tex]
3. Calculate the difference in mass:
- The mass of the quarter is given as 5.67 grams.
- We need to subtract the mass of the insect from the mass of the quarter:
[tex]\[ 5.67 \, \text{grams} - 0.08 \, \text{grams} = 5.59 \, \text{grams} \][/tex]
So, the mass of the quarter is 5.59 grams more than the mass of the robotic insect.
### Part 2: Water Poured Out
1. Understand the problem: We need to find out how much water Newton poured out from the beaker.
2. Info about the beaker:
- The beaker initially holds 2 liters of water.
- Since 1 liter = 1,000 milliliters, 2 liters = 2,000 milliliters.
3. Calculate the water poured out:
- After pouring out some water, 1,025 milliliters remain in the beaker.
- Subtract the remaining water from the initial amount to find out how much was poured out:
[tex]\[ 2,000 \, \text{milliliters} - 1,025 \, \text{milliliters} = 975 \, \text{milliliters} \][/tex]
So, Newton poured out 975 milliliters of water.
I hope this detailed explanation helps! If you have any questions, feel free to ask.
