To determine the weight of a block of iron given its mass, follow these steps:
1. Convert the mass from grams to kilograms:
- The mass of the block of iron is given as [tex]\( 213 \)[/tex] grams.
- Since there are [tex]\( 1,000 \)[/tex] grams in a kilogram, convert the mass by dividing by [tex]\( 1,000 \)[/tex]:
[tex]\[
\text{Mass in kilograms} = \frac{213 \, \text{grams}}{1,000} = 0.213 \, \text{kg}
\][/tex]
2. Calculate the weight using the formula [tex]\( W = mg \)[/tex]:
- Here, [tex]\( W \)[/tex] is the weight, [tex]\( m \)[/tex] is the mass in kilograms, and [tex]\( g \)[/tex] is the acceleration due to gravity.
- The acceleration due to gravity is provided as [tex]\( 9.80 \, \text{m/s}^2 \)[/tex].
- Substitute the mass and gravity into the formula:
[tex]\[
W = 0.213 \, \text{kg} \times 9.80 \, \text{m/s}^2
\][/tex]
3. Perform the multiplication:
- Calculate the product of [tex]\( 0.213 \, \text{kg} \times 9.80 \, \text{m/s}^2 \)[/tex]:
[tex]\[
W = 0.213 \times 9.80 = 2.0874 \, \text{N}
\][/tex]
Hence, the weight of the block of iron is [tex]\( 2.0874 \, \text{N} \)[/tex].
