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Matter In Our Surroundings

Question
CBSEENSC9006363

If you apply 1 J of energy to lift a book of 0.5 kg, how high will it rise?

Solution

Given space that comma space

Potential space energy comma space straight P. straight E. space equals space 1 space straight J

Mass space of space the space body comma space space straight m space equals space 0.5 space kg

Acceleration space due space to space gravity comma space straight g space equals space 10 space straight m divided by straight s squared

Height comma space space straight h space equals space ?

Using space the space formula comma space

space space space space space space space space space space straight P. straight E. space equals space mgh space

space therefore space space space space space 1 space equals space 0.5 space cross times space 10 space cross times space straight h
rightwards double arrow space space space space space space straight h space equals space fraction numerator 1 over denominator 0.5 space cross times space 10 end fraction

space space space space space space space space space space space space space space equals space space 0.2 space straight m space

space space space space space space space space space space space space space space equals space 20 space cm

Thus space the space book space will space rise space to space straight a space height space straight f space 20 space cm