Question
Question 22
If Tom kicks a 0.350 kg soccer ball with 0.90 N of force, what is the acceleration of the ball?
F= ma
a
3.15 m/s2
b
0.003 m/s2
c
0.32 m/s2
d
2.6 m/s2
e
388.9 m/s2
f
315 m/s2
If Tom kicks a 0.350 kg soccer ball with 0.90 N of force, what is the acceleration of the ball?
F= ma
a
3.15 m/s2
b
0.003 m/s2
c
0.32 m/s2
d
2.6 m/s2
e
388.9 m/s2
f
315 m/s2
Answers
GPT-4o mini
To find the acceleration of the soccer ball, we can use Newton's second law, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force (0.90 N),
- \( m \) is the mass (0.350 kg),
- \( a \) is the acceleration.
We can rearrange this formula to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Now, we can plug in the values:
\[ a = \frac{0.90 \, \text{N}}{0.350 \, \text{kg}} \]
Calculating this:
\[ a = \frac{0.90}{0.350} \approx 2.57 \, \text{m/s}^2 \]
Considering rounding, this value aligns closely with option (d) 2.6 m/s². Thus, the correct answer is:
**d. 2.6 m/s²**
\[ F = m \cdot a \]
Where:
- \( F \) is the force (0.90 N),
- \( m \) is the mass (0.350 kg),
- \( a \) is the acceleration.
We can rearrange this formula to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Now, we can plug in the values:
\[ a = \frac{0.90 \, \text{N}}{0.350 \, \text{kg}} \]
Calculating this:
\[ a = \frac{0.90}{0.350} \approx 2.57 \, \text{m/s}^2 \]
Considering rounding, this value aligns closely with option (d) 2.6 m/s². Thus, the correct answer is:
**d. 2.6 m/s²**