a 2kg mass of copper falls from a height of 3m to an insulated floor. what is the maximum possible temperature increase of the c

Question

3 years ago

12

opper?

1 answer:

Rainbow [258] · Answer 1 · 2022-01-05T16:10:11+03:00

The maximum possible temperature increase of the copper is $0.076^{\circ}C$

Explanation:

The energy gained by the mass of copper is equal to its change in gravitational potential energy, which is:

$E=mg \Delta h$

where

m = 2 kg is the mass of copper

$g=9.8 m/s^2$ is the acceleration of gravity

$\Delta h= 3m$ is the change in height of the copper

Substituting,

$E=(2)(9.8)(3)=58.8 J$

The energy gained by the copper is related to its change in temperature by

$E=mC_s \Delta T$

where

m = 2 kg is the mass

$C_s = 385 J/kg^{\circ}$ is the copper specific heat capacity

$\Delta T$ is the change in temperature

And solving for $\Delta T$ ,

$\Delta T = \frac{E}{mC_s}=\frac{58.8}{(2)(385)}=0.076^{\circ}C$

Learn more about specific heat capacity:

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