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A bag of wheat weighs $200 kg$ . To what height should it be raised so that its potential energy becomes $9800 J$ ? $(g = 9.8 m s^{- 2})$

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5 m

7.5 m

9 m

None of the above

answer is A.

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Detailed Solution

The bag of wheat should be raised up to a height of

5 m

to become its energy

9800 J

.
Given data:
Mass of the bag,

m = 200 kg

Potential energy,

P . E = 9800 J

Acceleration due to gravity,

g = 9.8 m s^{- 2}

To find the height of the bag to be raised.
The formula used:
Potential energy,

P . E = mgh

Where,

m

is the mass of the object and

h

is the height of the object.
Now,

P . E = mgh

\Rightarrow h = \frac{P . E}{mg}

\Rightarrow = \frac{9800}{200 \times 9.8}

\Rightarrow = 5 m

Hence, the bag of wheat should be raised to a height of

5 meter

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