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 of the object,
- [tex]\( a \)[/tex] is the acceleration.
Let's break it down step-by-step:
1. Convert the mass to kilograms: The mass of the ball is given as 140 grams. Since we need the mass in kilograms to use in the formula, we can convert grams to kilograms by dividing by 1000.
[tex]\[
m = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Determine the acceleration: The acceleration given is [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force: Now, apply the formula [tex]\( F = ma \)[/tex] using the converted mass and the given acceleration.
[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 at [tex]\( 25 \, \text{m/s}^2 \)[/tex] is 3.5 N.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration.
Let's break it down step-by-step:
1. Convert the mass to kilograms: The mass of the ball is given as 140 grams. Since we need the mass in kilograms to use in the formula, we can convert grams to kilograms by dividing by 1000.
[tex]\[
m = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Determine the acceleration: The acceleration given is [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the force: Now, apply the formula [tex]\( F = ma \)[/tex] using the converted mass and the given acceleration.
[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 at [tex]\( 25 \, \text{m/s}^2 \)[/tex] is 3.5 N.
