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PHY183-Lecture22

# PHY183-Lecture22 - 1 March 2 2011 Physics for...

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Unformatted text preview: 1 March 2, 2011 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Engineers 1 Spring Semester 2011 Lecture 22 Recoil and Rocket Motion 2 Clicker Quiz Clicker Quiz Clicker Quiz Clicker Quiz s When a bismuth-208 nucleus at rest decays, thallium-204 is produced, along with an alpha particle (helium-4 nucleus) s The mass numbers of bismuth-208, thallium-204, and helium-4 are 208, 204, and 4, respectively • The mass number represents the total number of protons and neutrons in the nucleus.) s The kinetic energy of the thallium nucleus is A. equal to that of the alpha particle. B. less than that of the alpha particle. C. greater than that of the alpha particle. March 2, 2011 Physics for Scientists&Engineers 1 2 3 Recoil Recoil Recoil Recoil s When a bullet is fired from a gun, the gun recoils • It moves in the opposite direction from the bullet s Suppose a cannonball (mass 13.7 kg) is fired at a target that is 2.30 km (maximum range) away from the cannon (mass 249.0 kg) s The target and cannon are at the same elevation and the cannon is resting on a horizontal surface s PROBLEM • What the velocity with which the cannon will recoil? s THINK • The cannon can only recoil in the horizontal direction • The x-component of the center of mass momentum of the cannon/cannonball system remains unchanged • The x-component of the center of mass momentum is zero March 2, 2011 Physics for Scientists&Engineers 1 3 4 Recoil Recoil Recoil Recoil s SKETCH March 2, 2011 Physics for Scientists&Engineers 1 4 5 Recoil Recoil Recoil Recoil s RESEARCH • Use index 1 for the cannon and 2 for the cannonball • The x-component of the velocity is • The range of the cannonball is given by • The maximum range corresponds to θ = 45 ° March 2, 2011 Physics for Scientists&Engineers 1 5 2 1 2 1 1 2 2 1 2 1 0 m P p p m v m v v v m...
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PHY183-Lecture22 - 1 March 2 2011 Physics for...

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