Solve each problem using dimensional analysis. evey number must have a unit. work must be shown.

Question

Mass:
A semi truck weights 3.4 tons. how many pounds does the truck weight

Answer 1

To solve the problem of converting the weight of a semi truck from tons to pounds using dimensional analysis, we will use the following conversion factors:

• 1 ton = 2000 pounds

Now we can set up the conversion:

1. Start with the weight of the truck in tons: \[ \text{Weight of truck} = 3.4 \text{ tons} \]

2. Use the conversion factor to convert tons to pounds: \[ \text{Weight in pounds} = 3.4 \text{ tons} \times \frac{2000 \text{ pounds}}{1 \text{ ton}} \]

3. Carry out the multiplication: \[ \text{Weight in pounds} = 3.4 \times 2000 \text{ pounds} \]

4. Calculate: \[ \text{Weight in pounds} = 6800 \text{ pounds} \]

Thus, the weight of the semi truck is \( \boxed{6800 \text{ pounds}} \).