Sure, let's break down the solution step-by-step for the given problem.
Given:
- Mass of the man, [tex]\( m = 80 \)[/tex] kg
- Gravitational field intensity on the moon, [tex]\( g_{\text{moon}} = 1.66 \)[/tex] N/kg
To Find:
- Weight of the man on the moon.
Step-by-Step Solution:
1. Identify the formula for weight:
The weight of an object is calculated by multiplying its mass by the gravitational field intensity. This can be written as:
[tex]\[
\text{Weight} = \text{mass} \times \text{gravitational field intensity}
\][/tex]
2. Substitute the given values:
- Mass ([tex]\( m \)[/tex]) = 80 kg
- Gravitational field intensity ([tex]\( g_{\text{moon}} \)[/tex]) = 1.66 N/kg
Therefore:
[tex]\[
\text{Weight on the moon} = 80 \text{ kg} \times 1.66 \text{ N/kg}
\][/tex]
3. Perform the multiplication:
[tex]\[
\text{Weight on the moon} = 80 \times 1.66
\][/tex]
Using the given information, the result of this multiplication is:
[tex]\[
\text{Weight on the moon} = 132.79999999999998 \text{ N}
\][/tex]
4. Result:
The weight of a man with a mass of 80 kg on the moon is approximately 132.8 N.
Thus, the weight of the man on the moon is [tex]\( 132.8 \)[/tex] N.
