A rolling wheel having 200 J of KE strikes a fixed box of mass 500 g. What is the rise in temperature of the box if all the KE of wheel is transferred as heat Energy to the box? (specific heat capacity of material of the box = $100 J / k g^{\circ} C$ )

$8^{\circ} C$

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$5^{\circ} C$

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$4^{\circ} C$

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$10^{\circ} C$

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Solution

The correct option is C
$4^{\circ} C$

All the KE is converted to heat energy, so the heat transferred to the box is 200 J.

$Δ Q$ = $M C_{c} Δ T$

$200 = 0.5 \times 100 \times Δ T$

$Δ T = 4^{\circ} C$

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A rolling wheel having 200 J of KE strikes a fixed box of mass 500 g. What is the rise in temperature of the box if all the KE of wheel is transferred as heat Energy to the box? (specific heat capacity of material of the box = 100 J/kg ∘C)

The correct option is C 4 ∘C All the KE is converted to heat energy, so the heat transferred to the box is 200 J. ΔQ = MCcΔT 200=0.5×100×ΔT ΔT=4 ∘C

A rolling wheel having 200 J of KE strikes a fixed box of mass 500 g. What is the rise in temperature of the box if all the KE of wheel is transferred as heat Energy to the box? (specific heat capacity of material of the box = $100 J / k g^{\circ} C$ )

The correct option is C
$4^{\circ} C$

All the KE is converted to heat energy, so the heat transferred to the box is 200 J.

$Δ Q$ = $M C_{c} Δ T$

$200 = 0.5 \times 100 \times Δ T$

$Δ T = 4^{\circ} C$