Question

Question :-
If 784 J of work was done for lifting 20 kg mass, then calculate the height through which it was lifted.

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Answer 1

$\underline{\red{ \bf {Solution}}}$ :-

$\underline {\green{\bf Given :-}}$

• Work Done(W) → 784 J
• Mass (m) → 20 kg
• Acceleration due to gravity (g) → 9.8 N

$\underline {\green{\bf To \: Find :-}}$

• Height (h)

$\underline {\purple{\bf Formula \: Used :-}}$

• $\underline{ \boxed {\blue{\sf{ W = m \times g \times h}}}}$

Substituting Values

$\sf \gray{\implies 784 = 20 \times 9.8 \times h}$

$\sf\gray{\implies 784 = 2 \cancel{0} \times \dfrac{98}{ 1 \cancel{0} } \times h}$

$\sf\gray{\implies 784 = 2 \times 98h}$

$\sf\gray{\implies 784 = 169h}$

$\sf\gray{\implies h = \dfrac{784}{196}}$

$\bf\gray{\implies h = 4}$

Thus, the height is 4 m

Hence, Solved ♡

Answer 2

Answer

Given :-

• Work done, W = 784 J
• Mass of body, m = 20 kg
• Acceleration due to gravity, g = 9.8 m/s²

To find :-

Height through which it was lifted - h

Solution

We know, W = mgh

• W = 784
• m = 20 kg
• g = 9.8 m/s²

Substituting the value in formula :-

$\sf W = mgh$

$\sf 784 = 20 \times 9.8 \times h$

$\sf 784 = 196h$

$\sf h = \frac{784}{196}$

$\sf h = 4 m$

Height through which it was lifted is 4m