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Answer :
To find the force needed to accelerate a ball, you 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. Here's how you can solve this problem step-by-step:
1. Identify the Given Information:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\( 25 \, \text{m/s}^2 \)[/tex].
2. Convert the Mass into Kilograms:
Since the standard unit for mass in the formula [tex]\( F = ma \)[/tex] is kilograms, you need to convert 140 grams to kilograms:
[tex]\[
140 \, \text{g} = 0.14 \, \text{kg}
\][/tex]
3. Calculate the Force Using the Formula:
Substitute the values into the formula:
[tex]\[
F = m \times a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Perform the Multiplication:
[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].
1. Identify the Given Information:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\( 25 \, \text{m/s}^2 \)[/tex].
2. Convert the Mass into Kilograms:
Since the standard unit for mass in the formula [tex]\( F = ma \)[/tex] is kilograms, you need to convert 140 grams to kilograms:
[tex]\[
140 \, \text{g} = 0.14 \, \text{kg}
\][/tex]
3. Calculate the Force Using the Formula:
Substitute the values into the formula:
[tex]\[
F = m \times a = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
4. Perform the Multiplication:
[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].
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