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 :
To determine the force needed to accelerate a ball with a mass of 140 grams at [tex]\( 25 \, \text{m/s}^2 \)[/tex], you can use Newton's second law of motion, which is expressed by the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
1. Convert Mass to Kilograms:
The mass of the ball is given in grams. Since the standard unit for mass in the International System of Units (SI) is kilograms (kg), we need to convert the mass from grams to kilograms.
[tex]\[ \text{mass in grams} = 140 \, \text{g} \][/tex]
To convert grams to kilograms, divide by 1000:
[tex]\[ \text{mass in kilograms} = \frac{140}{1000} = 0.140 \, \text{kg} \][/tex]
2. Use the Formula [tex]\( F = ma \)[/tex]:
Now that we have the mass in kilograms, we can use the formula [tex]\( F = ma \)[/tex], where:
[tex]\[ m = 0.140 \, \text{kg} \][/tex]
[tex]\[ a = 25 \, \text{m/s}^2 \][/tex]
Multiply the mass by the acceleration:
[tex]\[ F = 0.140 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
3. 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:
[tex]\[ 3.5 \, \text{N} \][/tex]
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
Here are the steps to solve the problem:
1. Convert Mass to Kilograms:
The mass of the ball is given in grams. Since the standard unit for mass in the International System of Units (SI) is kilograms (kg), we need to convert the mass from grams to kilograms.
[tex]\[ \text{mass in grams} = 140 \, \text{g} \][/tex]
To convert grams to kilograms, divide by 1000:
[tex]\[ \text{mass in kilograms} = \frac{140}{1000} = 0.140 \, \text{kg} \][/tex]
2. Use the Formula [tex]\( F = ma \)[/tex]:
Now that we have the mass in kilograms, we can use the formula [tex]\( F = ma \)[/tex], where:
[tex]\[ m = 0.140 \, \text{kg} \][/tex]
[tex]\[ a = 25 \, \text{m/s}^2 \][/tex]
Multiply the mass by the acceleration:
[tex]\[ F = 0.140 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
3. 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:
[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 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
