Answer:
due to production of heat through friction
We cannot answer the question if we do not have the answers - sorry!!
The number converted is ![0.0467 \frac{(kg)(s)}{m^3}](https://tex.z-dn.net/?f=0.0467%20%5Cfrac%7B%28kg%29%28s%29%7D%7Bm%5E3%7D)
Explanation:
In order to convert from the original units to the final units, we have to keep in mind the following conversion factors:
![1 kg = 1000 g = 10^6 mg](https://tex.z-dn.net/?f=1%20kg%20%3D%201000%20g%20%3D%2010%5E6%20mg)
![1 min = 60 s](https://tex.z-dn.net/?f=1%20min%20%3D%2060%20s)
![1 m^3 = 1000 L](https://tex.z-dn.net/?f=1%20m%5E3%20%3D%201000%20L)
The original unit that we have is
![\frac{mg\cdot min}{L}](https://tex.z-dn.net/?f=%5Cfrac%7Bmg%5Ccdot%20min%7D%7BL%7D)
Therefore, it can be rewritten as:
![=\frac{mg \frac{1}{10^6 mg/kg}\cdot min\cdot 60 s/min}{L\frac{1}{1000L/m^3}}=0.06 \frac{(kg)(s)}{m^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bmg%20%5Cfrac%7B1%7D%7B10%5E6%20mg%2Fkg%7D%5Ccdot%20min%5Ccdot%20%2060%20s%2Fmin%7D%7BL%5Cfrac%7B1%7D%7B1000L%2Fm%5E3%7D%7D%3D0.06%20%5Cfrac%7B%28kg%29%28s%29%7D%7Bm%5E3%7D)
Therefore, since the initial number was 0.779, the final value is
![0.779\cdot 0.06 \frac{(kg)(s)}{m^3}=0.0467 \frac{(kg)(s)}{m^3}](https://tex.z-dn.net/?f=0.779%5Ccdot%200.06%20%5Cfrac%7B%28kg%29%28s%29%7D%7Bm%5E3%7D%3D0.0467%20%5Cfrac%7B%28kg%29%28s%29%7D%7Bm%5E3%7D)
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As an object falls from rest, its gravitational energy is converted to kinetic energy
G.P.E = K.E = mgh
K.E = (80 Kg)(9.8 m/s²)(30 m)
K.E. = 23,520 J