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The muzzle velocity of a ball bearing was calculated through an experiment (1.22m/s). A student then wants to verify that the velocity calculated is right. So, she conducts an experiment in which she points the ball bearing launcher upwards. She measures the height the ball bearing climbs before falling back to the table.

1. What height is expected that the ball bearing reach.
I used the formula: vf=vo+2ax (velocity as a function of displacement)
so... 1.22^2=0+2(9.8)x, x = .0759m

2. For a given velocity, does the height depend on the mass of the ball?
According to the last problem, (if I did it right), the height does not depend on the mass.

Am I correct? Your help would be greatly appreciated.

  • Physics -

    you are correct on both, however, on the first you worked it with a sign problem. Gravity is down, so it should have been negative, and you put in Vf, not Vo.

    Should have been
    Vf^2=Vo^2 + 2ad
    0=1.22^2 + 2(-9.8)x

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