High School

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 :

We start with Newton's second law, which states

$$
F = m \times a.
$$

1. The mass is given as 140 g. Since mass must be in kilograms (kg) for this formula, we convert the mass:

$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}.
$$

2. The acceleration is given as

$$
a = 25 \text{ m/s}^2.
$$

3. Now substitute the mass and acceleration into the formula:

$$
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2 = 3.5 \text{ N}.
$$

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