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A marble rolls on the track shown in the figure below, with hB = 24 cm...

uploaded imageA marble rolls on the track shown in the figure below, with hB = 24 cm and hC = 12 cm. If the marble has a speed of 2.0 m/s at point A, what is its speed at points B and C?

Velocity at point B _______ m/s
Velocity at point C________ m/s

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Answer #1

1)
Engery before = Energy after
Kinetic energy = Kinetic energy + potential energy

mv1^2 = mv2^2 + mgh
2^2 = v2^2 + (9.81* 0.24m)
v2 = 1.282m/s at point B

2) The same equation as above

Engery before = Energy after
Kinetic energy = Kinetic energy + potential energy


mv2^2 = mv3^2 + mgh
1.282^2 = v3^2 + (9.81 * -0.012m)
v3 = 1.3271m/s at point C

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