Question

30.
A mass of 1g is separated from another mass of
1g by a distance of 1 cm. How many g-wt of
force exists between them?

Answer 1

SOLUTION

GIVEN

A mass of 1 g is separated from another mass of 1 g by a distance of 1 cm

TO DETERMINE

How many gram weight of force exists between them

EVALUATION

By the given -

$\displaystyle\sf{m_1 = 1 \: g = \frac{1}{1000} \: kg = {10}^{ - 3} \: kg }$

$\displaystyle\sf{m_2= 1 \: g = \frac{1}{1000} \: kg = {10}^{ - 3} \: kg }$

$\displaystyle\sf{d = 1 \: cm = \frac{1}{100} \: m = {10}^{ - 2} \: m }$

Hence the required gram weight of force exists between them

$\displaystyle\sf{ = \frac{Gm_1m_2}{ {d}^{2} } }$

$\displaystyle\sf{ = \frac{6.67 \times {10}^{ - 11} \times {10}^{ - 3} \times {10}^{ - 3} }{ {( {10}^{ - 2} )}^{2} } \: \: \: N }$

$\displaystyle\sf{ = \frac{6.67 \times {10}^{ - 11 - 3 - 3} }{ ( {10}^{ - 2 \times 2} ) } \: \: \: N }$

$\displaystyle\sf{ = \frac{6.67 \times {10}^{ - 17} }{ {10}^{ - 4} } \: \: \: N }$

$\displaystyle\sf{ = 6.67 \times {10}^{ - 17 + 4} \: \: \: N }$

$\displaystyle\sf{ = 6.67 \times {10}^{ - 13} \: \: \: N }$

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