Answer :
To find the force needed to accelerate the ball, you can use the formula:
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
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 from grams to kilograms:
- Since 1 kilogram is 1000 grams, divide the mass in grams by 1000 to convert it to kilograms.
[tex]\[
\text{mass in kg} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Use the formula to calculate the force:
- Now plug the values into the formula to find the force.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball is 3.5 N.
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
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 from grams to kilograms:
- Since 1 kilogram is 1000 grams, divide the mass in grams by 1000 to convert it to kilograms.
[tex]\[
\text{mass in kg} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Use the formula to calculate the force:
- Now plug the values into the formula to find the force.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball is 3.5 N.
