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Please help!!!
A 120 N/m spring is compressed 0.25m and is used to launch a 0.5kg ball. What is the momentum of the ball immediately after it is fired?

Respuesta :

Answer:

Momentum of the ball just after the release is 1.94 kg m/s

Explanation:

As we know that initially the spring and compressed against the ball

So here we will have

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

now we have

[tex]v = \sqrt{\frac{k}{m}} x[/tex]

Here we know that

mass = 0.5 kg

k = 120 N/m

x = 0.25 m

[tex]v = \sqrt{\frac{120}{0.5}}(0.25)[/tex]

[tex]v = 3.87 m/s[/tex]

now we can use formula of momentum here

[tex]P = mv[/tex]

[tex]P = (0.5)(3.87)[/tex]

[tex]P = 1.94 kg-m/s[/tex]