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From what height must a piece of lead be...

From what height must a piece of lead be dropped if the heat generated on impact with the ground is just sufficient to melt it. Assume that all the heat is confined to lead. The initial temperature of lead is `27^(@)C` and its final temperature is `327^(@)C.` Specific heat capacity of lead `0.125 xx 10 ^(3) J//Kg//K.` Latent heat of fusion of lead `=31 xx 10 ^(3) J //kg.`

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To solve the problem step by step, we will follow these steps: ### Step 1: Understand the energy conversion When the lead piece is dropped from a height, its potential energy at that height will be converted into heat energy upon impact. This heat energy will be used to raise the temperature of the lead and then to melt it. ### Step 2: Write the equations for energy The total heat energy required to raise the temperature of the lead and then to melt it can be expressed as: \[ Q = mc\Delta T + mL \] ...
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