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

ID: 1882722 • Letter: A

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/s2, 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

laundhed

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= 17.983 m/s

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Commemt in case any doubt.. good luck

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