Question

A person weights 110.84N on moon,whose acceleration due to gravity is 1/6 of that earth. If the value of 'g' on Earth is 9.8m/s^-2 calculate:-
1. 'g' on moon
2. mass of person on moon
3.weight of person on Earth

Answer 1

A person weights 110.84 N on Moon, whose acceleration due to gravity is 1/6 of that Earth. if the value of g on Earth is 9.8 m/s².

we have to calculate

1. 'g' on Moon.
2. mass of person on Moon.
3. weight of person on Earth.

1.  as acceleration due to gravity of Moon is 1/6 of that of Earth, the value of acceleration due to gravity of Moon will be = 1/6 × 9.8 = 1.633 m/s²

Therefore the value of 'g' on moon is 1.633 m/s².

2.  "mass is fundamental physical quantity. it can't be changed by doing any physical change."

so the mass of person on Moon = mass of person on Earth.

mass of Person on Moon = weight of person on Moon/acceleration due to gravity on Moon

= 110.84/1.633

= 67.87 Kg

Therefore the mass of person on Moon is 67.87 Kg.

3. weight of person on Earth = mass of person × acceleration due to gravity

= 67.87 Kg × 9.8 m/s²

= 665.126 N

Therefore the weight of person on Earth is 665.126N.

Answer 2

Given:

Weight of person on moon = 110.84 N

Acceleration due to gravity on earth = 9.8 m/$s^{2}$

Acceleration due to gravity on moon = 1/6 of that on earth

To Find:

1. 'g' on moon

2. Mass of person on moon

3. Weight of person on Earth

Calculation:

• Weight of a body is the force due to gravity exerted on the body by the ground below it.
• Direction of this weight or force due to gravity acting on the object is in the downward direction.
• Magnitude of weight = m * g

1. Gravitational acceleration on moon = one-sixth of that on earth = $\frac{1}{6} *9.8=1.63$ m/$s^{2}$.

2. Weight on moon = Mass on moon * g on moon

110.84 = mass on moon * 1.63

Mass on moon = 67.86 kg

3. Mass of any object or body is constant and will not change irrespective of any planet or ground.

So, mass of person on earth = 67.86 kg

Weight on earth = 67.86 * 9.8 = 665.028 Newton

Answer:

1. 'g' on moon = 1.63 m/$s^{2}$

2. mass of person on moon = 67.86 kg

3.weight of person on Earth = 665.028 Newton