Answer :
To solve this problem, we start by converting the mass from grams to kilograms. Since there are 1000 grams in a kilogram, the mass in kilograms is
[tex]$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}.
$$[/tex]
Newton's second law states that the force required is given by
[tex]$$
F = m \times a,
$$[/tex]
where [tex]\( m \)[/tex] is the mass and [tex]\( a \)[/tex] is the acceleration. Given that the acceleration is
[tex]$$
a = 25 \text{ m/s}^2,
$$[/tex]
we substitute the values into the formula:
[tex]$$
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2.
$$[/tex]
Multiplying these values, we have
[tex]$$
F = 3.5 \text{ N}.
$$[/tex]
Thus, the force needed to accelerate the ball is [tex]\(\boxed{3.5 \text{ N}}\)[/tex].
[tex]$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}.
$$[/tex]
Newton's second law states that the force required is given by
[tex]$$
F = m \times a,
$$[/tex]
where [tex]\( m \)[/tex] is the mass and [tex]\( a \)[/tex] is the acceleration. Given that the acceleration is
[tex]$$
a = 25 \text{ m/s}^2,
$$[/tex]
we substitute the values into the formula:
[tex]$$
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2.
$$[/tex]
Multiplying these values, we have
[tex]$$
F = 3.5 \text{ N}.
$$[/tex]
Thus, the force needed to accelerate the ball is [tex]\(\boxed{3.5 \text{ N}}\)[/tex].
