- #1

toboldlygo

- 32

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## Homework Statement

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A stream of elastic glass beads, each with a mass of 0.53 g, comes out of a horizontal tube at a rate of 99 per second. The beads fall a distance of 0.49 m to a balance pan and bounce back to their original height. How much mass must be placed in the other pan of the balance to keep the pointer at zero?

## Homework Equations

impulse = force * Δp ==> F = mΔv/Δt

conservation of energy: potential energy = kinetic energy ==> mgh = 0.5mv

^{2}

## The Attempt at a Solution

I think I'm supposed to find the velocity of the initial and final moments (when the beads exit the tube, and as they hit the pan, respectively), then use that to find the force (using the impulse equation), and then find mass from that.

So, I set mgh = 0.5mv

^{2}, and using the velocity that I obtained, I solved for F (I used 1/99 as Δt), and then I divided that number by 9.81 m/s/s to get my answer. I don't know where I'm going wrong, though. Any help would be much appreciated!