We appreciate your visit to A ball has a mass of 140 g What is the force needed to accelerate the ball at tex 25 m s 2 tex Formula. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure, let's break down the solution step-by-step:
1. Determine the mass in kilograms:
The mass of the ball is given in grams (140 g). We need to convert this mass to kilograms because the standard unit of mass in physics calculations is kilograms (kg).
- Conversion factor: [tex]\( 1 \text{ kg} = 1000 \text{ g} \)[/tex]
- Therefore, [tex]\(140 \text{ g} = \frac{140}{1000} \text{ kg} = 0.14 \text{ kg}\)[/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\(25 \, \text{m/s}^2\)[/tex].
3. Apply the formula [tex]\(F = ma\)[/tex]:
The formula for force [tex]\( F \)[/tex] is given by [tex]\( F = ma \)[/tex], where:
- [tex]\(m\)[/tex] is the mass
- [tex]\(a\)[/tex] is the acceleration
4. Calculate the force:
Substitute the mass [tex]\(0.14 \text{ kg}\)[/tex] and the acceleration [tex]\(25 \, \text{m/s}^2\)[/tex] into the formula:
[tex]\[
F = 0.14 \text{ kg} \times 25 \, \text{m/s}^2
\][/tex]
[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].
So the correct answer is:
3.5 N.
1. Determine the mass in kilograms:
The mass of the ball is given in grams (140 g). We need to convert this mass to kilograms because the standard unit of mass in physics calculations is kilograms (kg).
- Conversion factor: [tex]\( 1 \text{ kg} = 1000 \text{ g} \)[/tex]
- Therefore, [tex]\(140 \text{ g} = \frac{140}{1000} \text{ kg} = 0.14 \text{ kg}\)[/tex]
2. Identify the acceleration:
The acceleration is given as [tex]\(25 \, \text{m/s}^2\)[/tex].
3. Apply the formula [tex]\(F = ma\)[/tex]:
The formula for force [tex]\( F \)[/tex] is given by [tex]\( F = ma \)[/tex], where:
- [tex]\(m\)[/tex] is the mass
- [tex]\(a\)[/tex] is the acceleration
4. Calculate the force:
Substitute the mass [tex]\(0.14 \text{ kg}\)[/tex] and the acceleration [tex]\(25 \, \text{m/s}^2\)[/tex] into the formula:
[tex]\[
F = 0.14 \text{ kg} \times 25 \, \text{m/s}^2
\][/tex]
[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].
So the correct answer is:
3.5 N.
Thanks for taking the time to read A ball has a mass of 140 g What is the force needed to accelerate the ball at tex 25 m s 2 tex Formula. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada