Answer :
To find the force needed to accelerate a ball with a mass of 140 grams at an acceleration of [tex]\( 25 \, \text{m/s}^2 \)[/tex], we use the formula [tex]\( F = ma \)[/tex].
1. Convert mass to kilograms:
Since the mass is given in grams, we need to convert it to kilograms because the standard unit of mass in physics is kilograms.
[tex]\[
140 \, \text{g} = 0.140 \, \text{kg}
\][/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[
F = 0.140 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
The force needed is [tex]\( 3.5 \, \text{N} \)[/tex], so the correct answer is [tex]\( 3.5 \, \text{N} \)[/tex].
1. Convert mass to kilograms:
Since the mass is given in grams, we need to convert it to kilograms because the standard unit of mass in physics is kilograms.
[tex]\[
140 \, \text{g} = 0.140 \, \text{kg}
\][/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[
F = 0.140 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
The force needed is [tex]\( 3.5 \, \text{N} \)[/tex], so the correct answer is [tex]\( 3.5 \, \text{N} \)[/tex].
