Answer :
To find the force needed to accelerate a ball with a mass of 140 grams at 25 m/s², follow these steps:
1. Convert the mass from grams to kilograms:
Since there are 1000 grams in a kilogram, divide the mass by 1000.
[tex]\[
\text{Mass in kilograms} = \frac{140 \text{ grams}}{1000} = 0.14 \text{ kg}
\][/tex]
2. Use the formula for force:
The formula to calculate force is [tex]\( F = ma \)[/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 (m/s²).
3. Calculate the force:
Plug in the values from the problem 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 is 3.5 N.
1. Convert the mass from grams to kilograms:
Since there are 1000 grams in a kilogram, divide the mass by 1000.
[tex]\[
\text{Mass in kilograms} = \frac{140 \text{ grams}}{1000} = 0.14 \text{ kg}
\][/tex]
2. Use the formula for force:
The formula to calculate force is [tex]\( F = ma \)[/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 (m/s²).
3. Calculate the force:
Plug in the values from the problem 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 is 3.5 N.
