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A ball has a mass of 140 g. What is the force needed to accelerate the ball at [tex]$25 \, \text{m/s}^2$[/tex]?

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

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

Answer :

To determine the force needed to accelerate the ball, we'll use the formula:

[tex]\[ F = ma \][/tex]

Here's how you can solve the problem step by step:

1. Convert Mass to Kilograms:
The mass of the ball is given as 140 grams. To use it in our formula, we need to convert it to kilograms, because the standard unit for mass in physics equations is kilograms.
[tex]\[
\text{Mass in kilograms} = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}
\][/tex]

2. Use the Formula:
- Mass (m) = 0.14 kg
- Acceleration (a) = 25 m/s²

Now plug these values into the formula for force:
[tex]\[
F = m \times a = 0.14 \times 25
\][/tex]

3. Calculate the Force:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]

Therefore, the force needed to accelerate the ball is 3.5 Newtons.

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