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Answer :
To find the force needed to accelerate a ball with a mass of 140 grams at 25 m/s², we can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
First, we need to convert the mass of the ball from grams to kilograms since the standard unit of mass in physics is kilograms. There are 1000 grams in a kilogram, so:
[tex]\[ m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg} \][/tex]
Next, we use the provided acceleration, [tex]\( a = 25 \text{ m/s}^2 \)[/tex].
Now, we plug the values into the formula:
[tex]\[ F = ma = 0.14 \text{ kg} \times 25 \text{ m/s}^2 \][/tex]
[tex]\[ F = 3.5 \text{ N} \][/tex]
So, the force required to accelerate the ball at 25 m/s² is 3.5 Newtons. The correct answer is 3.5 N.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
First, we need to convert the mass of the ball from grams to kilograms since the standard unit of mass in physics is kilograms. There are 1000 grams in a kilogram, so:
[tex]\[ m = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg} \][/tex]
Next, we use the provided acceleration, [tex]\( a = 25 \text{ m/s}^2 \)[/tex].
Now, we plug the values into the formula:
[tex]\[ F = ma = 0.14 \text{ kg} \times 25 \text{ m/s}^2 \][/tex]
[tex]\[ F = 3.5 \text{ N} \][/tex]
So, the force required to accelerate the ball at 25 m/s² is 3.5 Newtons. The correct answer is 3.5 N.
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