The maximum possible temperature increase of the copper is [tex]0.076^{\circ}C[/tex]
Explanation:
The energy gained by the mass of copper is equal to its change in gravitational potential energy, which is:
[tex]E=mg \Delta h[/tex]
where
m = 2 kg is the mass of copper
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
[tex]\Delta h= 3m[/tex] is the change in height of the copper
Substituting,
[tex]E=(2)(9.8)(3)=58.8 J[/tex]
The energy gained by the copper is related to its change in temperature by
[tex]E=mC_s \Delta T[/tex]
where
m = 2 kg is the mass
[tex]C_s = 385 J/kg^{\circ}[/tex] is the copper specific heat capacity
[tex]\Delta T[/tex] is the change in temperature
And solving for [tex]\Delta T[/tex],
[tex]\Delta T = \frac{E}{mC_s}=\frac{58.8}{(2)(385)}=0.076^{\circ}C[/tex]
Learn more about specific heat capacity:
brainly.com/question/3032746
brainly.com/question/4759369
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