Question

the weight of an object on the surface of moon is 1.67 n. calculate its mass and weight on earth

Answer 1

As gravitational force on on moon is 1/6th as compared to that of earth so, if weight on moon is 1.67N therefore

weight on earth is 6 times the weight on moon

=6×1.67=10.02N

is the required weight

Answer 2

Weight of the object at moon = 1.67 N

Acceleration due to gravity on moon = 1.63 m/s^2

Weight = mass × gravity

$Mass = \frac{Weight}{g_m}$

$Mass = \frac{1.67}{1.63}$

Mass of object on moon = 1.024 kg

Since, mass is a constant quantity.

Hence, Mass of object on earth = 1.024 kg

Now, gravity on earth = 9.8 m/s^2

Weight on earth = mass × gravity

Weight on earth = 1.024 × 9.8

Weight on earth = 10.0352 N