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

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

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

Answer :

We are given a mass and an acceleration, and we need to find the force using Newton’s second law, which is given by

[tex]$$
F = m \cdot a.
$$[/tex]

Step 1: Convert the mass to kilograms

The mass is given as 140 g. Since

[tex]$$
1 \text{ kg} = 1000 \text{ g},
$$[/tex]

we convert the mass to kilograms:

[tex]$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}.
$$[/tex]

Step 2: Apply the formula to calculate the force

The acceleration is given as [tex]$25 \text{ m/s}^2$[/tex]. Substitute the values into the formula:

[tex]$$
F = m \cdot a = 0.14 \text{ kg} \times 25 \text{ m/s}^2.
$$[/tex]

Step 3: Calculate the force

Multiply the numbers:

[tex]$$
F = 0.14 \times 25 = 3.5 \text{ N}.
$$[/tex]

Thus, the force needed to accelerate the ball is [tex]$\boxed{3.5 \text{ N}}$[/tex].

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