Alright, let's carefully determine the child's mass given that the force of gravity acting on the child's mass is 490 newtons.
We know the relationship between force (F), mass (m), and acceleration due to gravity (g) is expressed by Newton's second law of motion:
[tex]\[ F = m \times g \][/tex]
Where:
- [tex]\( F \)[/tex] is the force of gravity (490 newtons)
- [tex]\( g \)[/tex] is the acceleration due to gravity on Earth (approximately 9.8 m/s[tex]\(^2\)[/tex])
- [tex]\( m \)[/tex] is the mass of the child, which we need to find
To find the mass [tex]\( m \)[/tex], we can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{g} \][/tex]
Now, we'll substitute the given values:
[tex]\[ m = \frac{490 \text{ newtons}}{9.8 \text{ m/s}^2} \][/tex]
When we perform the division:
[tex]\[ m = 50 \text{ kg} \][/tex]
So, the mass of the child is 50 kg.
Therefore, the best answer is:
C. 50 kg
