Question

if the mass of a body is 16kg and g on moon is 1.6m/s² and that of earth is 9.8m/s², then find the difference between weight.
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Answer 1

$\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}$

✻ Mass of body = 16kg

✻ g of Earth = 9.8m/s²

✻ g of Moon = 1.6m/s²

$\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}$

✠ We have to find difference between weight.

$\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}$

➠ Weight of body in terms of mass of body and acceleration due to gravity of planet is given by

$\dag\:\underline{\boxed{\bf{\blue{W=m\times g}}}}$

• W denotes weight
• m denotes mass
• g denotes acc. due to gravity

❅ Weight of body on Earth :

$:\implies\sf\:W_e=m\times g_e$

$:\implies\sf\:W_e=16\times 9.8$

$:\implies\bf\:W_e=156.8N$

❅ Weight of body on Moon :

$:\implies\sf\:W_m=m\times g_m$

$:\implies\sf\:W_m=16\times 1.6$

$:\implies\bf\:W_m=25.6N$

❅ Difference :

$\dashrightarrow\sf\:\Delta W=W_e-W_m$

$\dashrightarrow\sf\:\Delta W=156.8-25.6$

$\dashrightarrow\underline{\boxed{\bf{\purple{\Delta W=131.2N}}}}$