To determine the weight of a 45 kg box, we need to use the concept of weight in physics, which is the force exerted on a mass due to gravity. The weight [tex]\( W \)[/tex] can be calculated using the formula:
[tex]\[ W = m \times g \][/tex]
Where:
- [tex]\( m \)[/tex] is the mass, which is given as [tex]\( 45 \)[/tex] kg.
- [tex]\( g \)[/tex] is the acceleration due to gravity, and the standard value for [tex]\( g \)[/tex] near the surface of the Earth is [tex]\( 9.8 \)[/tex] m/s².
Now, let's proceed step-by-step to find the weight:
1. Identify the mass:
The mass [tex]\( m \)[/tex] of the box is [tex]\( 45 \)[/tex] kg.
2. Identify the gravitational acceleration:
The standard value for gravity [tex]\( g \)[/tex] is [tex]\( 9.8 \)[/tex] m/s².
3. Calculate the weight:
We use the formula [tex]\( W = m \times g \)[/tex]:
[tex]\[ W = 45 \, \text{kg} \times 9.8 \, \text{m/s}^2 \][/tex]
4. Perform the multiplication:
[tex]\[ W = 441 \, \text{N} \][/tex]
Thus, the weight of the 45 kg box is [tex]\( 441 \, \text{N} \)[/tex].
(Note: The slight difference beyond standard significant figures, which suggests a more precise calculation resulting in [tex]\( 441.00000000000006 \, \text{N} \)[/tex], highlights computational precision, but the principal result is [tex]\( 441 \, \text{N} \)[/tex]).
