A metal ball falls from a height of 42 metre on to the ground. Find the change in its temperature, assuming that its
entire kinetic energy changes to heat and half of this heat is absorbed by it. the specific heat capacity of the metal =
420 joules/kilogramme

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Solution

Dear Student,

When the metal ball reaches the ground, its entire potential energy is changed into kinetic energy, So kinetic energy then will be mgh = m $\times$ 10 $\times$ 42 = 420m
The Half of this energy is absorbed by the object, thus
$m c Δ T = \frac{K i n e t i c E n e r g y}{2} \Rightarrow Δ T = \frac{420}{2 \times 420} = 0.5 K$

Regards

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A metal ball falls from a height of 42 metre on to the ground. Find the change in its temperature, assuming that its entire kinetic energy changes to heat and half of this heat is absorbed by it. the specific heat capacity of the metal = 420 joules/kilogramme

Dear Student, When the metal ball reaches the ground, its entire potential energy is changed into kinetic energy, So kinetic energy then will be mgh = m×10×42 = 420m The Half of this energy is absorbed by the object, thus mcΔT=Kinetic Energy 2⇒ΔT=420 2×420=0.5 K Regards

A metal ball falls from a height of 42 metre on to the ground. Find the change in its temperature, assuming that its
entire kinetic energy changes to heat and half of this heat is absorbed by it. the specific heat capacity of the metal =
420 joules/kilogramme