At the Rio Olympic Games on 15 August 2016, Anita Wlodarczyk of Poland broke her

Question

At the Rio Olympic Games on 15 August 2016, Anita Wlodarczyk of Poland broke her own world record in the hammer throw, recording a throw of 82.29 m to win the gold medal. For this problem, we will use g 9.80 m/s, and we will also use the simplifying assumptions that the hammer was launched from ground level at a 45° angle and that air resistance can be neglected. Just for background, the hammer for women is a 4.0 kg ball on the end of a wire-the other end of the wire has a handle on it. The athletes whirl the hammer around their heads, and then spin 3 or 4 times in a circle before releasing the hammer. (a) Remembering that we're assuming a launch angle of 45°, with what speed must Anita Wlodarczyk have launched the hammer in her record-breaking throw? m/s (b) Walking across the university athletic field one day, you find a hammer (not for pounding nails, but as described above!) that has been left behind by the track and field team's top female hammer thrower. You decide to give it a try. When you try it, it goes a distance of 43.0 m. Using the same assumptions as above, what was the launch speed when you launched it? m/s

Explanation / Answer

A)

Range of a projectile is given by

R= u^2 sin (2x)/g

82.29= u^2 sin 90/9.8

u= 28.4 m/s

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b)

Similarly

u= 20.528 m/s

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Commemt in case any doubt.. good luck

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