Answer :
To find the force needed to accelerate a 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.
Let's solve it step by step:
1. Identify the given values:
- Mass of the ball: 140 grams
- Acceleration: 25 m/s²
2. Convert the mass from grams to kilograms:
- Since there are 1000 grams in 1 kilogram, divide the mass by 1000:
[tex]\[
m = \frac{140 \text{ grams}}{1000} = 0.14 \text{ kg}
\][/tex]
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball 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.
Let's solve it step by step:
1. Identify the given values:
- Mass of the ball: 140 grams
- Acceleration: 25 m/s²
2. Convert the mass from grams to kilograms:
- Since there are 1000 grams in 1 kilogram, divide the mass by 1000:
[tex]\[
m = \frac{140 \text{ grams}}{1000} = 0.14 \text{ kg}
\][/tex]
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball is 3.5 N.
