Question

the mass weight of an object is 5kg and 49N on earth. What will be their value on moon if acceleration due to gravity on moon is 1/6th of that of earth​

Answer 1

Answer:

$\red{ \underline{ \huge \bold{Given: }}}$

• The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon?

$\red{ \underline{ \huge \bold{To \: Find: }}}$

• Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth.

$\red{ \underline{ \huge \bold{Solution: }}}$

$\sf \: Weight=Mass \times acceleration \\ </p><p>\sf \:acceleration \: due \: to \: gravity \: on \: earth \: surface \\ </p><p>\sf \:Weight=mg \\ </p><p>\sf \:49=5 \times g \\ </p><p>\sf \:5g=49 \: \: \: \: \: g = \frac{49}{5} \: \: \: \: \: = 9.8 \: m/ sec {}^{2}$

$\pink{ \sf = 9.8 \: m/ sec {}^{2} }$

$\sf \: Acceleration \: on \: the \: moon \: = \frac{1}{g} \times \: on \: earth \\ \sf \: 1/6 \times 9.8 = 1.6333 \: m/ {sec}^{2}$

$\sf \: The \: weight \: of \: the \: moon \\ \pink{\sf = 5 \times 1.6333 = 8.1665 \: N}$