How Fast Was Randy Barnes' Record-Setting Shot Putt?

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SUMMARY

Randy Barnes set a world record shot put distance of 23.12 meters in Los Angeles in 1990. To estimate the speed required for this throw, it is calculated that the shot must be projected at approximately 14 m/s, assuming a release angle of 45 degrees from a height of 2.2 meters. The total work done on the shot, which has a mass of 2 kg, can be determined by analyzing the energy required to lift and project it from ground level. The discussion highlights the importance of resolving velocity vectors into their x and y components for accurate calculations.

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Q1. A world record for the shot putt of 23.12 m was set by Randy Barnes in Los Angeles in 1990. Estimate the speed at which the shot had to be projected to reach this distance, assuming that the shot was released at 45 degrees to the horizontal from a height of 2.2m above the ground. (The ground is horizontal).

Q2. If the mass of the shot in part A was 2kg, find the total work done on it by Barnes in picking it up and projecting it, assuming that it was at ground level before he picked it up.




2. h=1/2gt^2 S=ut + 1/2 at^2



3. I resolved the vectors into the x and y coordinates but I'm not sure what I'm doing wrong as the back of the book has an answer of 14 m/s for the first part.

Thanks anyways!
 
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Did you combine the x and y components of the velocity vector and find its magnitude?

Also, it'd be nice to show your work ;-) it's going to be hard to help you otherwise.
 

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