Question

The mass of a boy is 50 kg, which will be his weight on the earth. What is his weight on the moon?
A- 30.33 N
B- 88.33 N
C- 83.33 N
D- 33.83 N

Answer 1

We know weight is the force with which the earth pulls the body towards itself. So, weight is the force and it changes from planets to planets. Mass, on the other hand, is an absolute quantity and is defined as the absolute matter contained inside a body

Complete step by step answer: We are given the value of mass, m= 50 kg
Also, the value of acceleration due to gravity g= $10m/{{s}^{2}}$
So, weight on the earth= mg

& =50\times 10 \\\ & =500N \\\ \end{aligned}$$ Now we need to find the weight on the moon, the value of g on the moon is one-sixth time the value of g the earth, so the value of g on the moon is $$\dfrac{10}{6}m/{{s}^{2}}$$ Weight on moon= mg’ $$\begin{aligned} & =50\times \dfrac{10}{6} \\\ & =83.33N \\\ \end{aligned}$$ **So, the correct option is (C).** **Additional Information:** The mass of an object is a fundamental property of the object and its value is absolute and remains constant. SI unit of mass is the kilogram. Although mass does not change according to relativistic theory if a body moves with the speed of light then its mass gets converted into energy as per Einstein mass-energy equivalence. **Note:** The value of gravitational force varies on the moon as compared to earth and there are many reasons behind it one is the mass and the constituents of the core of the moon and its bed.