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.
1. Convert the mass from grams to kilograms:
- The mass of the ball is 140 grams. Since there are 1000 grams in a kilogram, you convert the mass to kilograms by dividing by 1000:
[tex]\[ m = 140 \, \text{g} = \frac{140}{1000} \, \text{kg} = 0.14 \, \text{kg} \][/tex]
2. Use the given acceleration:
- The acceleration [tex]\( a \)[/tex] is 25 meters per second squared (m/s²).
3. Calculate the force:
- Substitute the mass in kilograms and the acceleration into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
The force needed to accelerate the ball at 25 m/s² is 3.5 Newtons. Therefore, the correct answer is 3.5 N.
[tex]\[ F = ma \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
1. Convert the mass from grams to kilograms:
- The mass of the ball is 140 grams. Since there are 1000 grams in a kilogram, you convert the mass to kilograms by dividing by 1000:
[tex]\[ m = 140 \, \text{g} = \frac{140}{1000} \, \text{kg} = 0.14 \, \text{kg} \][/tex]
2. Use the given acceleration:
- The acceleration [tex]\( a \)[/tex] is 25 meters per second squared (m/s²).
3. Calculate the force:
- Substitute the mass in kilograms and the acceleration into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
[tex]\[ F = 3.5 \, \text{N} \][/tex]
The force needed to accelerate the ball at 25 m/s² is 3.5 Newtons. Therefore, the correct answer is 3.5 N.
