Answer :
To solve this problem, we'll follow these steps:
1. Identify the given values:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\(25 \, \text{m/s}^2\)[/tex].
2. Convert the mass to kilograms:
- Since 1 kilogram is 1000 grams, you divide the mass in grams by 1000 to convert it to kilograms.
[tex]\[
\text{mass in kg} = \frac{140 \, \text{grams}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Use the formula to calculate the force:
- The formula to calculate force is [tex]\(F = ma\)[/tex], where [tex]\(m\)[/tex] is the mass in kilograms and [tex]\(a\)[/tex] is the acceleration.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\(25 \, \text{m/s}^2\)[/tex] is [tex]\(3.5 \, \text{N}\)[/tex].
1. Identify the given values:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\(25 \, \text{m/s}^2\)[/tex].
2. Convert the mass to kilograms:
- Since 1 kilogram is 1000 grams, you divide the mass in grams by 1000 to convert it to kilograms.
[tex]\[
\text{mass in kg} = \frac{140 \, \text{grams}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Use the formula to calculate the force:
- The formula to calculate force is [tex]\(F = ma\)[/tex], where [tex]\(m\)[/tex] is the mass in kilograms and [tex]\(a\)[/tex] is the acceleration.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\(25 \, \text{m/s}^2\)[/tex] is [tex]\(3.5 \, \text{N}\)[/tex].
