Which has a greater mass?

Weight is actually the gravitational force on the object $W_i=mg_i$ .

The gravitation is more on the Earth compared to Moon ( $g_E > g_M$ ).

For the weight to be equal, the mass of the object on the moon should be more than that of earth.

$m_Eg_E = m_Mg_M$

which implies

$m_E = \frac{g_M}{g_E}m_M < m_M$

We know that Weight force $(W)=mg$ , where $m=$ Mass of body and $g=$ Acc. due to gravity. Now,

$W=mg \implies m=\frac{W}{g} \implies m \propto \frac{1}{g}$

This means that mass $(m)$ is inversely proportional to acc. due to gravity $(g)$ provided that $W$ remain constant.

When the $2$ objects are taken, then $W=30$ N is constant for both objects and value of $g$ is less on Moon than on Earth. Since $m\propto \frac{1}{g}$ , we can say that less the value of $g$ , more the value of $m$ if $W$ is constant as in this case, $W=30$ N is constant.

Thus, value of $m$ i.e, mass of object is greater in case of object on Moon where value of $g$ is one-sixth of that on Earth. So, the object of greater mass is The one on the Moon.

Mass=weight/gravity. The moons gravity is about 1.6 m/s squared, ours is 9.81m/s squared.

According to w=mg,mass of object on moon will be greater...As value of g on earth is 9.8m/s^2 while that on moon is 1.6m/s^2

The object on moon is 6 times the weight of the object on earth

Moon's gravitational force is 1/6 times that of Earth.

Let us select Earth as our place where we will compare the masses. In that case, an object weighing 30 N on the Moon will be (30 N x 6) or 180 N.

Then we have an object that weighs 30 N on Earth.

Let us consider that weight increases as mass increases.

Assume that the gravitational constant is 10 m/(s^2).

The object from the Moon will have a mass of 18 kg while the object from Earth will be 3 kg.

An object weighs 30 N on Earth. A second object weighs 30 N on the moon. Which as the greater mass?

For first object, F(e)= GM(e)m/R2(e) =g(e)m [ g(e)= GM(e/R2(e)] Or, 30=9.8m Or, m=3.o612245 kg……………(1)

For second object, F(m)= GM(m)m/R2(m) =g(m)m [ g(e)= GM(e/R2(e)] Or, 30=(g(e)/6)m Or,30=(9.8/6)m Or,30=1.633m Or,m=18.371 kg……………….(2)

From equation (1) & (2) We can write second object has got greater mass. (answer)

weight is defined as the product of mass and acceleration due to gravity.the acceleration due to gravity on Moon is 6 time let's lesser than that on earth.the weight of object on the moon is equal to the weight on object on the earth and the acceleration of gravity on earth is much smaller greater then the acceleration due to gravity on the moon.this shows that the mass of object on the earth is lesser than a mass of object on the moon yo type♡♡

Let's depict the forces on the Earth and the Moon as Fe = MeAe and Fm = MmAm respectively. We know that Fm = Fe since it is stated in the problem: MeAe = MmAm.

Using the approximations Ae = 10 m/s2 and Am = 2 m/s2, we substitute those in and get this: 5 Me = Mm. As we can clearly see in the equation, the mass on the moon is greater than the mass on the earth.

Newtons is a measure of force, and force is mass x acceleration. The acceleration in this case is gravity, and we know gravity is stronger on earth than on the moon (in fact on earth it's $9.8 m/s^2$ and on the moon it's $1.6 m/s^2$ ). If both objects have the same force but different accelerations, the one with the smaller acceleration must have the larger mass.

because g of moon =1/6(g of earth)