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Answer :
To determine 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,
- [tex]\( a \)[/tex] is the acceleration.
Here is how you solve it step-by-step:
1. Identify the given values:
- Mass of the ball, [tex]\( m \)[/tex], is given as 140 grams.
- Acceleration, [tex]\( a \)[/tex], is given as 25 meters per second squared (m/s²).
2. Convert the mass to kilograms:
- Since the standard unit of mass in physics is kilograms, convert the given mass from grams to kilograms.
- [tex]\( 140 \text{ grams} = 140 / 1000 = 0.14 \text{ kilograms} \)[/tex].
3. Use the formula to calculate the force:
- Substitute the values into the formula:
- [tex]\( F = 0.14 \times 25 \)[/tex]
- Calculate the result:
- [tex]\( F = 3.5 \text{ Newtons} \)[/tex].
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 Newtons.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
Here is how you solve it step-by-step:
1. Identify the given values:
- Mass of the ball, [tex]\( m \)[/tex], is given as 140 grams.
- Acceleration, [tex]\( a \)[/tex], is given as 25 meters per second squared (m/s²).
2. Convert the mass to kilograms:
- Since the standard unit of mass in physics is kilograms, convert the given mass from grams to kilograms.
- [tex]\( 140 \text{ grams} = 140 / 1000 = 0.14 \text{ kilograms} \)[/tex].
3. Use the formula to calculate the force:
- Substitute the values into the formula:
- [tex]\( F = 0.14 \times 25 \)[/tex]
- Calculate the result:
- [tex]\( F = 3.5 \text{ Newtons} \)[/tex].
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 Newtons.
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