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 text m s 2 tex. 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 solve the problem step-by-step.
1. Identify the given values.
- Mass of the ball: 140 grams
- Acceleration: [tex]\(25 \, \text{m/s}^2\)[/tex]
2. Convert mass to kilograms.
- Since force is calculated in the SI unit of newtons, and one newton is defined as [tex]\(1 \, \text{kg} \cdot \text{m/s}^2\)[/tex], we need to convert the mass from grams to kilograms.
- To convert grams to kilograms, divide by 1000:
[tex]\[
\text{Mass in kg} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Apply the formula for force.
- The formula to calculate force is given by:
[tex]\[
F = m \times a
\][/tex]
- Where:
- [tex]\(F\)[/tex] is the force in newtons (N),
- [tex]\(m\)[/tex] is the mass in kilograms (kg),
- [tex]\(a\)[/tex] is the acceleration in meters per second squared ([tex]\(\text{m/s}^2\)[/tex]).
4. Substitute the values into the formula.
- Using the mass [tex]\(0.14 \, \text{kg}\)[/tex] and the acceleration [tex]\(25 \, \text{m/s}^2\)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
5. Calculate the force.
- Multiplying these gives:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, 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 values.
- Mass of the ball: 140 grams
- Acceleration: [tex]\(25 \, \text{m/s}^2\)[/tex]
2. Convert mass to kilograms.
- Since force is calculated in the SI unit of newtons, and one newton is defined as [tex]\(1 \, \text{kg} \cdot \text{m/s}^2\)[/tex], we need to convert the mass from grams to kilograms.
- To convert grams to kilograms, divide by 1000:
[tex]\[
\text{Mass in kg} = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]
3. Apply the formula for force.
- The formula to calculate force is given by:
[tex]\[
F = m \times a
\][/tex]
- Where:
- [tex]\(F\)[/tex] is the force in newtons (N),
- [tex]\(m\)[/tex] is the mass in kilograms (kg),
- [tex]\(a\)[/tex] is the acceleration in meters per second squared ([tex]\(\text{m/s}^2\)[/tex]).
4. Substitute the values into the formula.
- Using the mass [tex]\(0.14 \, \text{kg}\)[/tex] and the acceleration [tex]\(25 \, \text{m/s}^2\)[/tex]:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
5. Calculate the force.
- Multiplying these gives:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball at [tex]\(25 \, \text{m/s}^2\)[/tex] is [tex]\(3.5 \, \text{N}\)[/tex].
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 text m s 2 tex. 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
