Answer :
To determine the mass of a falling rock that produces a force of 196 N, we can use Newton's second law of motion. This law states that force (F) is equal to the mass (m) of an object multiplied by its acceleration (a). The formula for this is:
[tex]\[ F = m \times a \][/tex]
In this scenario, the force is given as 196 newtons (N), and the acceleration is due to gravity, which is approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex].
Now, to find the mass, we need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the formula:
[tex]\[ m = \frac{196 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]
When you divide 196 by 9.8, you get:
[tex]\[ m = 20 \, \text{kg} \][/tex]
So, the mass of the falling rock is 20 kg. Therefore, the correct answer is:
a. 20 kg
[tex]\[ F = m \times a \][/tex]
In this scenario, the force is given as 196 newtons (N), and the acceleration is due to gravity, which is approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex].
Now, to find the mass, we need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the formula:
[tex]\[ m = \frac{196 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]
When you divide 196 by 9.8, you get:
[tex]\[ m = 20 \, \text{kg} \][/tex]
So, the mass of the falling rock is 20 kg. Therefore, the correct answer is:
a. 20 kg
