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  4. A stationary object at 4° C and weighing 3.5 kg falls from a height of 2000m on a snow mountain at 0oC . If the temperature of the object just before hitting the snow is 0oC and the object comes to rest immediately, then the object will melt (Use, g=10 ms- 2 and latent heat of ice =3.5× 105Jkg- 1 )

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Q. A stationary object at $4^\circ C$ and weighing $3.5 \, kg$ falls from a height of $2000m$ on a snow mountain at $0^{o}C$ . If the temperature of the object just before hitting the snow is $0^{o}C$ and the object comes to rest immediately, then the object will melt (Use, $g=10 \, ms^{- 2}$ and latent heat of ice $=3.5\times 10^{5}Jkg^{- 1}$ )

NTA AbhyasNTA Abhyas 2022

Solution:

Suppose $m \, kg$ of ice melts then by using
$\underset{\left(\right. J o u l e s \left.\right)}{W}=\underset{\left(\right. J o u l e s \left.\right)}{H}$
$Mgh=mL$
$3.5\times 10\times 2000=m\times 3.5\times 10^{5}$
$m=0.2 \, kg=200 \, g$