Answer :
To find the force needed to accelerate the ball, we use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration.
Let's break down the steps:
1. Convert the mass 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 grams to kilograms.
[tex]\[ 140 \, \text{grams} = 0.14 \, \text{kilograms} \][/tex]
2. Identify the acceleration: The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Plug values into the formula: Now, use the formula [tex]\( F = ma \)[/tex] to find the force.
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
4. Calculate the force:
[tex]\[ F = 0.14 \times 25 = 3.5 \, \text{N} \][/tex]
So, the force needed to accelerate the ball is 3.5 N. Thus, 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,
- [tex]\( a \)[/tex] is the acceleration.
Let's break down the steps:
1. Convert the mass 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 grams to kilograms.
[tex]\[ 140 \, \text{grams} = 0.14 \, \text{kilograms} \][/tex]
2. Identify the acceleration: The acceleration is given as [tex]\( 25 \, \text{m/s}^2 \)[/tex].
3. Plug values into the formula: Now, use the formula [tex]\( F = ma \)[/tex] to find the force.
[tex]\[ F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2 \][/tex]
4. Calculate the force:
[tex]\[ F = 0.14 \times 25 = 3.5 \, \text{N} \][/tex]
So, the force needed to accelerate the ball is 3.5 N. Thus, the correct answer is 3.5 N.
