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Answer :
First, convert the mass from grams to kilograms. Since there are 1000 grams in 1 kilogram:
[tex]$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}
$$[/tex]
Now, use Newton's second law of motion, which states that:
[tex]$$
F = m \times a
$$[/tex]
where
[tex]\( m \)[/tex] is the mass and
[tex]\( a \)[/tex] is the acceleration.
Substitute the given values into the formula:
[tex]$$
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2 = 3.5 \text{ N}
$$[/tex]
Thus, the force needed to accelerate the ball is [tex]\( 3.5 \text{ N} \)[/tex].
[tex]$$
m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}
$$[/tex]
Now, use Newton's second law of motion, which states that:
[tex]$$
F = m \times a
$$[/tex]
where
[tex]\( m \)[/tex] is the mass and
[tex]\( a \)[/tex] is the acceleration.
Substitute the given values into the formula:
[tex]$$
F = 0.14 \text{ kg} \times 25 \text{ m/s}^2 = 3.5 \text{ N}
$$[/tex]
Thus, the force needed to accelerate the ball is [tex]\( 3.5 \text{ N} \)[/tex].
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