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A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum speed it can give to a 500 g ball? ____m/s

Answer Choices:
136
16.5
12.5
272
680
18.6
8.4
26

Respuesta :

IsrarAwan
Answer: 16.5 m/s

Explanation:
By law of conservation of energy:

[tex] \frac{kx^2}{2} = \frac{mv^2}{2} [/tex] --- (1)

Since k = Spring Constant = 850 N/m
x = 0.40 m
m = 500g = 0.5kg
v=?

Plug in the values in (1):

[tex] \frac{(850)(0.40^2)}{2} = \frac{0.5v^2}{2} \\ v = \sqrt{272} \\ v = 16.49 m/s\\ v = 16.5 m/s(approx)[/tex]

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