Question

A copper sphere was moving at 25 m/s when it hit another object. this caused all of the ke to be converted into thermal energy for the copper sphere. if the specific heat capacity of copper is 387 j/(kg ⋅ c°), what was the increase in temperature?

Answer 1

ΔT= 81°C  was the increase in temperature.

steps

As evidenced by energy conservation

To increase its temperature, all of its kinetic energy will be converted to thermal energy.

$\frac{1}{2}mv ^{2} = ms$ΔT

then divide both sides by the object's mass.

$\frac{1}{2} v^{2} =s$ΔT

therefore, a temperature shift is described as

ΔT= $V^{2} /2s$

ΔT= $25^{2}$/ 2 x 387

ΔT= 81°C

ΔT= 81°C  was the increase in temperature.

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