Answer :
To find the force needed to accelerate the ball, we can use 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:
1. Convert the Mass to Kilograms:
- The mass of the ball is given as 140 grams.
- We need to convert this mass into kilograms since the standard unit of mass in physics is kilograms.
- To convert grams to kilograms, divide by 1000:
[tex]\[
m = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the Given Acceleration:
- The acceleration is given as 25 meters per second squared ([tex]\( m/s^2 \)[/tex]).
3. Calculate the Force:
- Now substitute the mass and acceleration into the formula:
[tex]\[
F = ma = 0.14 \times 25
\][/tex]
4. Perform the Multiplication:
- Calculate the force by multiplying:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball at [tex]\( 25 \, m/s^2 \)[/tex] is [tex]\( 3.5 \, \text{N} \)[/tex]. So, the correct answer is 3.5 N.
[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:
1. Convert the Mass to Kilograms:
- The mass of the ball is given as 140 grams.
- We need to convert this mass into kilograms since the standard unit of mass in physics is kilograms.
- To convert grams to kilograms, divide by 1000:
[tex]\[
m = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
2. Use the Given Acceleration:
- The acceleration is given as 25 meters per second squared ([tex]\( m/s^2 \)[/tex]).
3. Calculate the Force:
- Now substitute the mass and acceleration into the formula:
[tex]\[
F = ma = 0.14 \times 25
\][/tex]
4. Perform the Multiplication:
- Calculate the force by multiplying:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
Therefore, the force needed to accelerate the ball at [tex]\( 25 \, m/s^2 \)[/tex] is [tex]\( 3.5 \, \text{N} \)[/tex]. So, the correct answer is 3.5 N.
