To determine which shot will have the greatest acceleration, we can use Newton's second law of motion, which states that \( F = ma \) (Force = mass × acceleration). From this, we can rearrange the equation to solve for acceleration:
\[ a = \frac{F}{m} \]
Now, we will calculate the acceleration for each competitor using the given mass and force values:
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6 kg and 30 N: \[ a = \frac{30 , \text{N}}{6 , \text{kg}} = 5 , \text{m/s}^2 \]
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5 kg and 40 N: \[ a = \frac{40 , \text{N}}{5 , \text{kg}} = 8 , \text{m/s}^2 \]
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5 kg and 30 N: \[ a = \frac{30 , \text{N}}{5 , \text{kg}} = 6 , \text{m/s}^2 \]
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4 kg and 40 N: \[ a = \frac{40 , \text{N}}{4 , \text{kg}} = 10 , \text{m/s}^2 \]
Now we can compare the calculated accelerations:
- 6 kg and 30 N → \( 5 , \text{m/s}^2 \)
- 5 kg and 40 N → \( 8 , \text{m/s}^2 \)
- 5 kg and 30 N → \( 6 , \text{m/s}^2 \)
- 4 kg and 40 N → \( 10 , \text{m/s}^2 \)
The greatest acceleration is from the shot with mass 4 kg and a force of 40 N, which has an acceleration of \( 10 , \text{m/s}^2 \).
So, the correct response is 4 kg and 40 N.