Question
Select the correct answer.
If a ball is given an acceleration of 3.0 meters/second2 while being pushed with a force of 0.75 newtons, what is the mass of the ball?
A.
0.13 kilograms
B.
0.25 kilograms
C.
0.50 kilograms
D.
0.75 kilograms
E.
0.35 kilograms
If a ball is given an acceleration of 3.0 meters/second2 while being pushed with a force of 0.75 newtons, what is the mass of the ball?
A.
0.13 kilograms
B.
0.25 kilograms
C.
0.50 kilograms
D.
0.75 kilograms
E.
0.35 kilograms
Answers
GPT-4o mini
To find the mass of the ball, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
We can rearrange the formula to solve for mass:
\[ m = \frac{F}{a} \]
Given:
- \( F = 0.75 \) newtons,
- \( a = 3.0 \) meters/second².
Now, substitute the values into the formula:
\[ m = \frac{0.75 \, \text{N}}{3.0 \, \text{m/s}^2} \]
\[ m = \frac{0.75}{3.0} \]
\[ m = 0.25 \, \text{kg} \]
Thus, the mass of the ball is \( 0.25 \) kilograms.
The correct answer is **B. 0.25 kilograms**.
\[ F = m \cdot a \]
Where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.
We can rearrange the formula to solve for mass:
\[ m = \frac{F}{a} \]
Given:
- \( F = 0.75 \) newtons,
- \( a = 3.0 \) meters/second².
Now, substitute the values into the formula:
\[ m = \frac{0.75 \, \text{N}}{3.0 \, \text{m/s}^2} \]
\[ m = \frac{0.75}{3.0} \]
\[ m = 0.25 \, \text{kg} \]
Thus, the mass of the ball is \( 0.25 \) kilograms.
The correct answer is **B. 0.25 kilograms**.