A man of weight 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, then find the weight of the object carried by the man ( take, g=10 ms -2 )

Question

A man of weight 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, then find the weight of the object carried by the man ( take, g=10 ms -2 ) (A) 100 kg (B) 25 kg (C) 50 kg (D) 10 kg

Tardigrade Admin · Accepted Answer

The power used by man, P =(M+m) g h / t where, M = mass of man m = mass of object t = time and h = height ⇒ 2000 =((50+m) × 10 × 20/10) ⇒ 100=50+x ⇒ X =100-50 ⇒ x=50 kg

Q. A man of weight $50 k g$ 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 $2000 W$ , then find the weight of the object carried by the man ( take, $g = 10 m s^{- 2}$ )

$100 k g$

$25 k g$

$50 k g$

$10 k g$

The power used by man,
$P = (M + m) g h / t$
where, $M =$ mass of man
$m =$ mass of object
$t =$ time
and $h =$ height
$\Rightarrow 2000 = \frac{( 50 + m ) \times 10 \times 20}{10} \Rightarrow 100 = 50 + x$
$\Rightarrow X = 100 - 50 \Rightarrow x = 50 k g$

Q. A man of weight 50kg carries an object to a height of 20m in a time of 10s. The power used by the man in this process is 2000W, then find the weight of the object carried by the man ( take, g=10ms−2 )

100kg

25kg

50kg

10kg