Answer :
To find the force needed to accelerate the ball, we use the formula for force:
[tex]\[ F = m \times a \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
Step-by-step calculation:
1. Convert the mass to kilograms:
The mass of the ball is given as 140 grams. Since the standard unit for mass in physics is kilograms, we need to convert grams to kilograms.
[tex]\[
\text{Mass in kilograms} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force:
Using the formula [tex]\( F = m \times a \)[/tex], plug in the mass and acceleration:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Perform the multiplication:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, 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, and [tex]\( a \)[/tex] is the acceleration.
Step-by-step calculation:
1. Convert the mass to kilograms:
The mass of the ball is given as 140 grams. Since the standard unit for mass in physics is kilograms, we need to convert grams to kilograms.
[tex]\[
\text{Mass in kilograms} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force:
Using the formula [tex]\( F = m \times a \)[/tex], plug in the mass and acceleration:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Perform the multiplication:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball is 3.5 N.
