A man of mass 50 kg carries an object to a h | vedclass

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(C) The power $P$ is defined as the work done $W$ per unit time $t$,given by $P = \frac{W}{t}$.Here,the work done is against gravity to lift the man a

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$50$

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(C) The power $P$ is defined as the work done $W$ per unit time $t$,given by $P = \frac{W}{t}$.Here,the work done is against gravity to lift the man and the object: $W = (m + M)gh$,where $m$ is the mass of the object and $M$ is the mass of the man.Given: $P = 2000 \ W$,$M = 50 \ kg$,$h = 20 \ m$,$t = 10 \ s$,and $g = 10 \ m/s^2$.Substituting the values into the power formula: $P = \frac{(m + M)gh}{t}$.$2000 = \frac{(m + 50) 	imes 10 	imes 20}{10}$.$2000 = (m + 50) 	imes 20$.Dividing both sides by $20$: $100 = m + 50$.Therefore,$m = 100 - 50 = 50 \ kg$.

$A$ man of mass $50 \ kg$ carries an object to a height of $20 \ m$ in a time of $10 \ s$. The power used by the man in this process is $2000 \ W$. Find the mass of the object carried by the man (take $g = 10 \ m/s^2$). (in $kg$)

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