12. You\'re on your houseboat on Lake Shasta with your on-deck, 200-kg cannon. I

Question

12. You're on your houseboat on Lake Shasta with your on-deck, 200-kg cannon. It can fire a 10.0 kg cannon hail. It is very important to stop the recoil of the cannon, since otherwise the heavy cannon would go careening across the deck of the houseboat and off the far side. In one design, a large spring with spring constant 20,000 N/m is placed behind the cannon. The other end of the spring braced against a post that is firmly anchored to the ship's frame. What is the speed of the cannon ball if the spring compresses 50.0cm when the cannon is fired horizontally?

Explanation / Answer

apply KE = EPE

0.5 mv^2    = 0.5 kx^2

v^2 = kx^2/m

v^2 = 20000 * 0.5*0.5/(210)

v^2 = 23.809

v = 4.879 m/s

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