Answer :
Sure! Let's solve the problem step-by-step.
We are given:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\(25 \, \text{m/s}^2\)[/tex].
We need to find the force required to accelerate the ball using the formula [tex]\(F = m \times a\)[/tex], where [tex]\(F\)[/tex] is force, [tex]\(m\)[/tex] is mass, and [tex]\(a\)[/tex] is acceleration.
### Step 1: Convert Mass to Kilograms
The mass is given in grams, so we need to convert it to kilograms because the standard unit for mass in physics is kilograms.
- There are 1000 grams in 1 kilogram.
- Therefore, mass in kilograms is:
[tex]\[
\text{mass\ in\ kg} = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
### Step 2: Calculate the Force
Now, we use the formula [tex]\(F = m \times a\)[/tex] to calculate the force.
- Substitute the values:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
- Calculate:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball is [tex]\(3.5 \, \text{N}\)[/tex].
The correct answer is [tex]\(3.5 \, \text{N}\)[/tex].
We are given:
- The mass of the ball is 140 grams.
- The acceleration is [tex]\(25 \, \text{m/s}^2\)[/tex].
We need to find the force required to accelerate the ball using the formula [tex]\(F = m \times a\)[/tex], where [tex]\(F\)[/tex] is force, [tex]\(m\)[/tex] is mass, and [tex]\(a\)[/tex] is acceleration.
### Step 1: Convert Mass to Kilograms
The mass is given in grams, so we need to convert it to kilograms because the standard unit for mass in physics is kilograms.
- There are 1000 grams in 1 kilogram.
- Therefore, mass in kilograms is:
[tex]\[
\text{mass\ in\ kg} = \frac{140}{1000} = 0.14 \, \text{kg}
\][/tex]
### Step 2: Calculate the Force
Now, we use the formula [tex]\(F = m \times a\)[/tex] to calculate the force.
- Substitute the values:
[tex]\[
F = 0.14 \, \text{kg} \times 25 \, \text{m/s}^2
\][/tex]
- Calculate:
[tex]\[
F = 3.5 \, \text{N}
\][/tex]
So, the force needed to accelerate the ball is [tex]\(3.5 \, \text{N}\)[/tex].
The correct answer is [tex]\(3.5 \, \text{N}\)[/tex].
