Question
In a professional soccer match a player kicks a ball of mass 0.43 kg with a force of 100N causing it to accelerate rapidly calculate the initial acceleration of the ball immediately after being kicked
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GPT-4o mini
To calculate the initial acceleration of the ball immediately after being kicked, you can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
From this, we can rearrange the equation to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Given:
- \( F = 100 \, \text{N} \)
- \( m = 0.43 \, \text{kg} \)
Now plug in the values:
\[ a = \frac{100 \, \text{N}}{0.43 \, \text{kg}} \]
Calculating that gives:
\[ a \approx 232.56 \, \text{m/s}^2 \]
Therefore, the initial acceleration of the ball immediately after being kicked is approximately **232.56 m/s²**.
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in Newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
From this, we can rearrange the equation to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Given:
- \( F = 100 \, \text{N} \)
- \( m = 0.43 \, \text{kg} \)
Now plug in the values:
\[ a = \frac{100 \, \text{N}}{0.43 \, \text{kg}} \]
Calculating that gives:
\[ a \approx 232.56 \, \text{m/s}^2 \]
Therefore, the initial acceleration of the ball immediately after being kicked is approximately **232.56 m/s²**.
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