Answer :
To find the force needed to accelerate the ball, you can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Here are the steps to solve the problem:
1. Convert the mass from grams to kilograms:
The mass of the ball is given as 140 grams. Since there are 1000 grams in a kilogram, you need to divide by 1000 to convert to kilograms:
[tex]\[ m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the formula to calculate the force:
With the mass and acceleration given, use them in the formula:
[tex]\[ a = 25 \, \text{m/s}^2 \][/tex]
Plug the values into the equation:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball is 3.5 N.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Here are the steps to solve the problem:
1. Convert the mass from grams to kilograms:
The mass of the ball is given as 140 grams. Since there are 1000 grams in a kilogram, you need to divide by 1000 to convert to kilograms:
[tex]\[ m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the formula to calculate the force:
With the mass and acceleration given, use them in the formula:
[tex]\[ a = 25 \, \text{m/s}^2 \][/tex]
Plug the values into the equation:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball is 3.5 N.
