To determine which shot will have the greatest acceleration, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force applied, \( m \) is the mass of the object, and \( a \) is the acceleration. Rearranging this gives us \( a = \frac{F}{m} \).
Now, we can calculate the acceleration for each competitor's shot using the provided masses and forces:
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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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4 kg and 40 N: \[ a = \frac{40 , \text{N}}{4 , \text{kg}} = 10 , \text{m/s}^2 \]
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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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5 kg and 40 N: \[ a = \frac{40 , \text{N}}{5 , \text{kg}} = 8 , \text{m/s}^2 \]
Now we compare the calculated accelerations:
- 6 kg and 30 N: \( 5 , \text{m/s}^2 \)
- 4 kg and 40 N: \( 10 , \text{m/s}^2 \)
- 5 kg and 30 N: \( 6 , \text{m/s}^2 \)
- 5 kg and 40 N: \( 8 , \text{m/s}^2 \)
From this comparison, we can see that the shot with a mass of 4 kg and a force of 40 N will have the greatest acceleration of 10 m/s².