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Answer :
To find the force needed to accelerate the ball, we can use the formula for force, [tex]\( F = m \cdot a \)[/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 go through the steps:
1. Convert the Mass:
The ball has a mass of 140 grams. To use the formula, we need to convert this mass into kilograms because the standard unit of mass in physics is kilograms.
[tex]\[
140 \text{ g} = 0.14 \text{ kg}
\][/tex]
2. Acceleration:
The acceleration specified is [tex]\( 25 \text{ m/s}^2 \)[/tex].
3. Calculate the Force:
Substitute the values into the formula:
[tex]\[
F = m \cdot a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Thus, 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 [tex]\( \text{3.5 N} \)[/tex].
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration.
Let's go through the steps:
1. Convert the Mass:
The ball has a mass of 140 grams. To use the formula, we need to convert this mass into kilograms because the standard unit of mass in physics is kilograms.
[tex]\[
140 \text{ g} = 0.14 \text{ kg}
\][/tex]
2. Acceleration:
The acceleration specified is [tex]\( 25 \text{ m/s}^2 \)[/tex].
3. Calculate the Force:
Substitute the values into the formula:
[tex]\[
F = m \cdot a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Thus, 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 [tex]\( \text{3.5 N} \)[/tex].
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