Answer :
To find the force needed to accelerate the ball, we will use the formula:
[tex]\[ F = ma \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
1. Convert mass to kilograms:
- The mass of the ball is given as 140 grams.
- Since 1 kilogram equals 1000 grams, we convert the mass to kilograms by dividing by 1000.
[tex]\[
m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the acceleration value:
- The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force:
- Now, plug the values of mass and acceleration into the formula.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball is [tex]\( 3.5 \, \text{N} \)[/tex]. Therefore, the correct answer is 3.5 N.
[tex]\[ F = ma \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
1. Convert mass to kilograms:
- The mass of the ball is given as 140 grams.
- Since 1 kilogram equals 1000 grams, we convert the mass to kilograms by dividing by 1000.
[tex]\[
m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the acceleration value:
- The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force:
- Now, plug the values of mass and acceleration into the formula.
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball is [tex]\( 3.5 \, \text{N} \)[/tex]. Therefore, the correct answer is 3.5 N.
