The mass of an astronaut is 72kg.
(a) what is his weight on earth ( taking g to be 10N/kg) ?
(b) if the astronaut is on the moon's surface where the acceleration due to gravity is one-sixth on the earth , calculate
(I) the mass
(ii) the weight of the astronaut
Thanks for helping me out , good deeds will be return :)
(a) Weight = Mass * g = 720 Newtons
(b)
(i) mass M stays the same at 72 kg
(ii) 1/6 of 720 Newtons = ___
14,400
To solve these problems, you need to understand the concepts of mass, weight, and gravitational acceleration.
(a) On Earth:
The weight of an object is the force with which it is attracted towards the center of the Earth due to gravity. Weight is calculated using the formula W = m * g, where W is weight, m is mass, and g is the acceleration due to gravity.
Given that the mass of the astronaut is 72 kg and the acceleration due to gravity on Earth is 10 N/kg, you can calculate the weight by multiplying the mass by the acceleration due to gravity. So, W = 72 kg * 10 N/kg = 720 N.
Therefore, the weight of the astronaut on Earth is 720 Newtons.
(b) On the Moon:
On the moon's surface, the acceleration due to gravity is one-sixth of that on Earth, which is 10 N/kg * 1/6 = 1.67 N/kg.
(i) Mass on the Moon:
Mass is a measure of the amount of matter in an object and is constant regardless of the location. So, the mass of the astronaut remains the same, which is 72 kg.
(ii) Weight on the Moon:
Using the formula W = m * g, where W is weight, m is mass, and g is the acceleration due to gravity, you can calculate the weight of the astronaut on the moon. So, W = 72 kg * 1.67 N/kg = 120.24 N.
Therefore, the weight of the astronaut on the moon is approximately 120.24 Newtons.
Remember, mass is constant, while weight changes depending on the acceleration due to gravity in different locations.
mass=4320.001728kg
weight is=720N