Answer :
Sure! Let's solve this problem step by step:
1. Understand the Problem:
We need to calculate the force required to accelerate a ball with a given mass. The formula to use is [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.
2. Convert the Mass:
The mass of the ball is given as 140 grams. It's important to convert this mass into kilograms because we use the metric units for force calculations.
[tex]\[
140 \text{ grams} = 140 / 1000 = 0.14 \text{ kilograms}
\][/tex]
3. Use the Given Acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2\)[/tex].
4. Apply the Formula:
Plug the values into the formula [tex]\( F = m \times a \)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
5. Calculate the Force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\( 25 \, \text{m/s}^2 \)[/tex] is [tex]\( 3.5 \, \text{N}\)[/tex].
1. Understand the Problem:
We need to calculate the force required to accelerate a ball with a given mass. The formula to use is [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.
2. Convert the Mass:
The mass of the ball is given as 140 grams. It's important to convert this mass into kilograms because we use the metric units for force calculations.
[tex]\[
140 \text{ grams} = 140 / 1000 = 0.14 \text{ kilograms}
\][/tex]
3. Use the Given Acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2\)[/tex].
4. Apply the Formula:
Plug the values into the formula [tex]\( F = m \times a \)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
5. Calculate the Force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\( 25 \, \text{m/s}^2 \)[/tex] is [tex]\( 3.5 \, \text{N}\)[/tex].
