Answer :
Sure! Let's work through this problem together.
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, and
- [tex]\( a \)[/tex] is the acceleration.
Here are the details step-by-step:
1. Convert the Mass:
The mass is given as 140 grams. We need to convert this into kilograms because the standard unit of mass in physics equations is kilograms.
[tex]\[ 140 \, \text{g} = 0.14 \, \text{kg} \][/tex]
2. Use the Given Acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the Force:
Now we apply the formula:
[tex]\[ F = ma \][/tex]
[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 is 3.5 N.
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, and
- [tex]\( a \)[/tex] is the acceleration.
Here are the details step-by-step:
1. Convert the Mass:
The mass is given as 140 grams. We need to convert this into kilograms because the standard unit of mass in physics equations is kilograms.
[tex]\[ 140 \, \text{g} = 0.14 \, \text{kg} \][/tex]
2. Use the Given Acceleration:
The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Calculate the Force:
Now we apply the formula:
[tex]\[ F = ma \][/tex]
[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 is 3.5 N.
