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Question
- four balls with different masses are each pushed with a net force of 50 n onto a field. number the balls in order from greatest acceleration (1) to least acceleration (4).
______ baseball (0.15kg)
______ basketball (0.65kg)
______ tennis ball (0.06kg)
______ golf ball (0.05kg)
Step1: Use Newton's second law
Newton's second law is \(F = ma\), so \(a=\frac{F}{m}\). Here \(F = 50N\) for all balls.
Step2: Calculate acceleration for each ball
- For baseball (\(m = 0.15kg\)): \(a_{baseball}=\frac{50}{0.15}\approx333.3m/s^{2}\)
- For basketball (\(m = 0.65kg\)): \(a_{basketball}=\frac{50}{0.65}\approx76.9m/s^{2}\)
- For tennis ball (\(m = 0.06kg\)): \(a_{tennis - ball}=\frac{50}{0.06}\approx833.3m/s^{2}\)
- For golf ball (\(m = 0.05kg\)): \(a_{golf - ball}=\frac{50}{0.05}=1000m/s^{2}\)
Step3: Compare accelerations
Since \(1000>833.3 > 333.3>76.9\)
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Golf ball (1), Tennis ball (2), Baseball (3), Basketball (4)