Answer :
To find the force needed to accelerate the ball, we use the formula:
[tex]\[ F = m \times a \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
Steps to follow:
1. Convert the mass to kilograms:
The mass of the ball is given as 140 grams. To convert grams to kilograms, divide by 1000:
[tex]\[
140 \, \text{g} = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the formula to calculate the force:
Now, plug the values into the formula:
[tex]\[
F = m \times a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
3. Perform the multiplication:
[tex]\[
F = 0.14 \times 25 = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\(25 \, \text{m/s}^2\)[/tex] is [tex]\(3.5 \, \text{N}\)[/tex]. The correct answer is [tex]\(3.5 \, \text{N}\)[/tex].
[tex]\[ F = m \times a \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
Steps to follow:
1. Convert the mass to kilograms:
The mass of the ball is given as 140 grams. To convert grams to kilograms, divide by 1000:
[tex]\[
140 \, \text{g} = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the formula to calculate the force:
Now, plug the values into the formula:
[tex]\[
F = m \times a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
3. Perform the multiplication:
[tex]\[
F = 0.14 \times 25 = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\(25 \, \text{m/s}^2\)[/tex] is [tex]\(3.5 \, \text{N}\)[/tex]. The correct answer is [tex]\(3.5 \, \text{N}\)[/tex].
