Question

Two bodies of same masses are placed at height h and 2h. Compare their gravitational potential energy.

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Answer 1

Question :

Two bodies of same masses are placed at height h and 2h. Compare their gravitational potential energy.

Answer :

$gravitational \: potential \: energy \: = workdone$

$gravitational \: potential \: energy \: = workdone$$workdone = displacement \times force$

$gravitational \: potential \: energy \: = workdone$$workdone = displacement \times force$$displacement \: = height \:( h)$

$gravitational \: potential \: energy \: = workdone$$workdone = displacement \times force$$displacement \: = height \:( h)$Since,

$gravitational \: force \: = \: mass (m)\: \times acceleration \: due \: to \: gravity(g)$

Hence,

$gravitational \: potential \: energy \: = mgh$

Gravitational potential energy of body = mass × acceleration due to gravity × height

Gravitational potential energy of body 1 = mgh

Gravitational potential energy of body 2 = mg2h

Comparing the energy = mgh : mg2h

Gravitational potential energy of body is twice that of body 1

= 1 : 2