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Answer :
To find the force needed to accelerate the ball, we can use the formula [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
Here's a step-by-step solution:
1. Identify the Mass and Acceleration:
- Mass of the ball: [tex]\( 140 \)[/tex] grams.
- Acceleration: [tex]\( 25 \)[/tex] m/s[tex]\(^2\)[/tex].
2. Convert Mass to Kilograms:
- Since the standard unit of mass in physics is kilograms, convert the mass from grams to kilograms.
- [tex]\( 140 \)[/tex] grams is equal to [tex]\( 140 / 1000 = 0.14 \)[/tex] kilograms.
3. Plug Values into the Formula:
- Now we use the formula [tex]\( F = ma \)[/tex].
- [tex]\( m = 0.14 \)[/tex] kg and [tex]\( a = 25 \)[/tex] m/s[tex]\(^2\)[/tex].
4. Calculate the Force:
- [tex]\( F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \)[/tex].
- [tex]\( F = 3.5 \)[/tex] Newtons.
Therefore, the force needed to accelerate the ball is [tex]\( 3.5 \)[/tex] N.
Here's a step-by-step solution:
1. Identify the Mass and Acceleration:
- Mass of the ball: [tex]\( 140 \)[/tex] grams.
- Acceleration: [tex]\( 25 \)[/tex] m/s[tex]\(^2\)[/tex].
2. Convert Mass to Kilograms:
- Since the standard unit of mass in physics is kilograms, convert the mass from grams to kilograms.
- [tex]\( 140 \)[/tex] grams is equal to [tex]\( 140 / 1000 = 0.14 \)[/tex] kilograms.
3. Plug Values into the Formula:
- Now we use the formula [tex]\( F = ma \)[/tex].
- [tex]\( m = 0.14 \)[/tex] kg and [tex]\( a = 25 \)[/tex] m/s[tex]\(^2\)[/tex].
4. Calculate the Force:
- [tex]\( F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \)[/tex].
- [tex]\( F = 3.5 \)[/tex] Newtons.
Therefore, the force needed to accelerate the ball is [tex]\( 3.5 \)[/tex] N.
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