Answer :
To solve the problem of finding the force needed to accelerate a ball with mass of 140 g at 25 m/s², we can use the formula for force:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force in newtons
- [tex]\( m \)[/tex] is the mass in kilograms
- [tex]\( a \)[/tex] is the acceleration in meters per second squared
Here's how you can find the answer step-by-step:
1. Convert the mass from grams to kilograms:
Since 1 kilogram is equal to 1000 grams, you convert mass by dividing by 1000.
[tex]\[
m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the formula to find the force:
Substitute the values of mass and acceleration into the formula:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
3. Calculate the force:
Perform the multiplication:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Thus, the force needed to accelerate the ball at 25 m/s² is 3.5 N. Therefore, the correct answer is 3.5 N.
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force in newtons
- [tex]\( m \)[/tex] is the mass in kilograms
- [tex]\( a \)[/tex] is the acceleration in meters per second squared
Here's how you can find the answer step-by-step:
1. Convert the mass from grams to kilograms:
Since 1 kilogram is equal to 1000 grams, you convert mass by dividing by 1000.
[tex]\[
m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the formula to find the force:
Substitute the values of mass and acceleration into the formula:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
3. Calculate the force:
Perform the multiplication:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Thus, the force needed to accelerate the ball at 25 m/s² is 3.5 N. Therefore, the correct answer is 3.5 N.
