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Answer :
To solve this problem, we need to calculate the force required to accelerate a ball. We can use the formula for force, which is:
[tex]\[ F = m \times a \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
Here's a step-by-step solution:
1. Convert the mass from grams to kilograms.
The mass of the ball is given as 140 grams. Since the standard unit for mass in physics is kilograms, we need to convert this mass to kilograms:
[tex]\[ 140 \, \text{g} = \frac{140}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the formula to calculate the force.
We know the acceleration of the ball is 25 m/s². Plug the mass and acceleration into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
3. Perform the multiplication.
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
The correct answer is 3.5 N.
[tex]\[ F = m \times a \][/tex]
where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
Here's a step-by-step solution:
1. Convert the mass from grams to kilograms.
The mass of the ball is given as 140 grams. Since the standard unit for mass in physics is kilograms, we need to convert this mass to kilograms:
[tex]\[ 140 \, \text{g} = \frac{140}{1000} = 0.14 \, \text{kg} \][/tex]
2. Use the formula to calculate the force.
We know the acceleration of the ball is 25 m/s². Plug the mass and acceleration into the formula:
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
3. Perform the multiplication.
[tex]\[ F = 3.5 \, \text{N} \][/tex]
Therefore, the force needed to accelerate the ball at 25 m/s² is 3.5 N.
The correct answer is 3.5 N.
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