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Answer :
To find the force needed to accelerate the ball, we can use the formula [tex]\( F = m \times a \)[/tex], where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.
Here's a step-by-step solution:
1. Identify the given values:
- Mass of the ball ([tex]\( m \)[/tex]) = 140 grams.
- Acceleration ([tex]\( a \)[/tex]) = 25 meters per second squared ([tex]\( m/s^2 \)[/tex]).
2. Convert mass from grams to kilograms:
Since 1 kilogram (kg) is equal to 1000 grams (g), convert the mass into kilograms:
[tex]\[
m_{\text{kg}} = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}
\][/tex]
3. Apply the formula for force:
Using the formula [tex]\( F = m \times a \)[/tex]:
[tex]\[
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \text{ N}
\][/tex]
Therefore, the force needed to accelerate the ball at [tex]\( 25 \text{ m/s}^2 \)[/tex] is [tex]\( 3.5 \text{ N} \)[/tex].
The correct answer is:
- 3.5 N
Here's a step-by-step solution:
1. Identify the given values:
- Mass of the ball ([tex]\( m \)[/tex]) = 140 grams.
- Acceleration ([tex]\( a \)[/tex]) = 25 meters per second squared ([tex]\( m/s^2 \)[/tex]).
2. Convert mass from grams to kilograms:
Since 1 kilogram (kg) is equal to 1000 grams (g), convert the mass into kilograms:
[tex]\[
m_{\text{kg}} = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}
\][/tex]
3. Apply the formula for force:
Using the formula [tex]\( F = m \times a \)[/tex]:
[tex]\[
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2
\][/tex]
4. Calculate the force:
[tex]\[
F = 3.5 \text{ N}
\][/tex]
Therefore, the force needed to accelerate the ball at [tex]\( 25 \text{ m/s}^2 \)[/tex] is [tex]\( 3.5 \text{ N} \)[/tex].
The correct answer is:
- 3.5 N
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