A 30g of ice that is at a temperature 0∘C falls 6 meters from the eaves of a house to the ground below. If 5% of the kinetic energy that the ice possesses when it strikes the ground converts into heat, Identify the correct statement? (Note: Hfwater0.335J/g)
This would not happen because it would break the law of conservation of mass
The ice would become colder during the fall; therefore, no ice would melt
Less than .3g of the ice would melt
The frictional work done to stop the icicle's fall would use up all the energy and leave none for anything else
The icicle would shatter and the energy would convert into momentum
A
The ice would become colder during the fall; therefore, no ice would melt
B
The icicle would shatter and the energy would convert into momentum
C
Less than .3g of the ice would melt
D
The frictional work done to stop the icicle's fall would use up all the energy and leave none for anything else
E
This would not happen because it would break the law of conservation of mass
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Solution
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Given : u=0m/s ; h=6 m; m=30g=0.03kg; Hf=0.335J/g
Kinetic energy of the ice when it strikes the ground is equal to the potential energy of the ice at a height of 6 m.
∴K.E=mgh=0.03×10×6=1.8J
Amount of kinetic energy converted into heat Q=0.05×1.8=0.09J
Let the mass of ice melted due to energy converted into heat be m′.
∴Q=m′Hf
OR 0.09=m′×0.335
⟹m′=0.27g
Thus option C is correct.
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