Question

A body of mass 10kg falls to the ground from a height 1km . If all energy is converted to heat energy, find the amount of heat developed.(Given 1cal=4.2J)​

Answer 1

Answer:

Amount of heat developed = 23333.33 calories

Explanation:

Mass of the body = 10 kg

Height , h = 1 km = 1000m

Total energy = Potential Energy at height h

Potential energy at height h = mgh = $10\times 9.8 \times 1000$ $= 98000 J$

All energy is converted into heat energy

∴ Heat produced, Q = 98000J = $\frac{98000}{4.2} = 23333.33 calories$

Answer 2

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• Mass of the body (m) = 10kg

• Height (h) = 1km = 1000m

$\mapsto\sf{Potential \: energy \: at \: height = m \times g \times h} \\ \\ \mapsto\sf{Potential \: energy \: at \: height = 10 \times 9.8 \times 1000 \: - - - (g = 9.8 {ms}^{2}) } \\ \\ \mapsto\sf{Potential \: energy \: at \: height = 98000J}$

Energy is been converted into heat energy then heat produced is given by,

$\longrightarrow\sf{ \frac{P.E. \: at \: height}{1 \: cal} } \\ \\ \longrightarrow\sf{ \frac{98000}{4.2} } \\ \\ \longrightarrow\sf{23333.33 \: cal}$

• Amount of heat energy produced is 23333.33 cal