College

A ball has a mass of 140 g. What is the force needed to accelerate the ball at 25 m/s²?

(Formula: [tex]F = ma[/tex])

A. 3.5 N
B. 115 N
C. 165 N
D. 4.5 N

Answer :

To solve the problem of finding the force needed to accelerate a ball with mass of 140 g at 25 m/s², we can use the formula for force:

[tex]\[ F = m \times a \][/tex]

Where:
- [tex]\( F \)[/tex] is the force in newtons
- [tex]\( m \)[/tex] is the mass in kilograms
- [tex]\( a \)[/tex] is the acceleration in meters per second squared

Here's how you can find the answer step-by-step:

1. Convert the mass from grams to kilograms:

Since 1 kilogram is equal to 1000 grams, you convert mass by dividing by 1000.
[tex]\[
m = \frac{140 \, \text{g}}{1000} = 0.14 \, \text{kg}
\][/tex]

2. Use the formula to find the force:

Substitute the values of mass and acceleration into the formula:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]

3. Calculate the force:

Perform the multiplication:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]

Thus, the force needed to accelerate the ball at 25 m/s² is 3.5 N. Therefore, the correct answer is 3.5 N.