Answer :
To solve the problem of finding the force needed to accelerate the ball, we can use the formula:
[tex]\[ F = ma \][/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 the step-by-step process:
1. Identify the mass of the ball: The mass is given as 140 grams. We need to convert this into kilograms because the standard unit for mass in physics equations is kilograms.
[tex]\[\text{mass in kilograms} = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}\][/tex]
2. Identify the acceleration: The acceleration is provided as 25 m/s².
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[ F = 0.14 \text{ kg} \times 25 \text{ m/s}^2 \][/tex]
[tex]\[ F = 3.5 \text{ N} \][/tex]
Therefore, the force needed to accelerate the ball is [tex]\( 3.5 \)[/tex] 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 of the object, and
- [tex]\( a \)[/tex] is the acceleration.
Here's the step-by-step process:
1. Identify the mass of the ball: The mass is given as 140 grams. We need to convert this into kilograms because the standard unit for mass in physics equations is kilograms.
[tex]\[\text{mass in kilograms} = \frac{140 \text{ g}}{1000} = 0.14 \text{ kg}\][/tex]
2. Identify the acceleration: The acceleration is provided as 25 m/s².
3. Calculate the force using the formula [tex]\( F = ma \)[/tex]:
[tex]\[ F = 0.14 \text{ kg} \times 25 \text{ m/s}^2 \][/tex]
[tex]\[ F = 3.5 \text{ N} \][/tex]
Therefore, the force needed to accelerate the ball is [tex]\( 3.5 \)[/tex] Newtons.
The correct answer is 3.5 N.
