Question #291285
The summit of Mount Everest is 8848.0 m above sea
 level, making it the highest summit on Earth. In 1953, Edmund Hillary was the first person to reach the summit. Suppose upon reaching there, Hillary slid a rock from rest with a 32.0 g mass down the side of the mountain. If the rock's speed was 24.0 m/s when it was 7690.0 m above sea level, how much work was done
on the rock by air resistance?







1
Expert's answer
2022-01-27T13:17:20-0500

m=32.0  gm=32.0 \;g

h1=8848.0  mh_1=8848.0 \;m

h2=7690.0  mh_2=7690.0\;m

v1=0  m/sv_1=0 \;m/s

v2=24.0  m/sv_2=24.0 \;m/s

g=9.81  m/s2g=9.81 \;m/s^2


Wr=m(12(v22v12)g(h1h2))W_r=m(\frac{1}2(v_2^2-v_1^2)-g(h_1-h_2))

Wr=(32×103kg)(12(24202)m2/s29.81m/s2(88487690)m)W_r=(32\times 10^{-3} kg )(\frac{1}2(24^2-0^2) m^2/s^2 -9.81m/s^2(8848-7690)m)

Wr=(32×103kg)(28811358.4)m2/s2W_r=(32\times 10^{-3}kg)(288-11358.4)m^2/s^2

Wr(32×103kg)(11060.4m2/s2)=353.9JW_r(32\times 10^{-3}kg)(-11060.4m^2/s^2)=-353.9J


Answer: Wr=353.9  JW_r=-353.9 \;J



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