College

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
D. 4.5 N

Answer :

To solve the problem, first note that the formula for force is given by

$$
F = m \cdot a,
$$

where:
- $F$ is the force,
- $m$ is the mass,
- $a$ is the acceleration.

**Step 1: Convert the mass to kilograms**

The mass is given as 140 grams. Since there are 1000 grams in 1 kilogram, convert the mass to kilograms:

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

**Step 2: Calculate the force**

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

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

**Step 3: Perform the multiplication**

$$
F = 3.5 \, \text{N}.
$$

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