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Answer :
To find the force needed to accelerate the ball, we will use the formula for force:
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Step 1: Convert the mass from grams to kilograms.
The mass of the ball is given as 140 grams. Since 1 kilogram equals 1000 grams, we need to convert the mass into kilograms by dividing by 1000:
[tex]\[ m = \frac{140}{1000} = 0.14 \, \text{kg} \][/tex]
Step 2: Use the formula to calculate the force.
The acceleration [tex]\( a \)[/tex] is given as 25 m/s². Now substitute the values into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force in newtons (N),
- [tex]\( m \)[/tex] is the mass in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
Step 1: Convert the mass from grams to kilograms.
The mass of the ball is given as 140 grams. Since 1 kilogram equals 1000 grams, we need to convert the mass into kilograms by dividing by 1000:
[tex]\[ m = \frac{140}{1000} = 0.14 \, \text{kg} \][/tex]
Step 2: Use the formula to calculate the force.
The acceleration [tex]\( a \)[/tex] is given as 25 m/s². Now substitute the values into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
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