A body of 90 kg f on the surface of earth. How much will it weigh on the surface of moon whose mass is 1/9 and radius is ½ of that of earth?
Answers
Answer:
it would be less dense than on earth
Answer:
The value of g for the Moon’s surface is 1.625 m/s^2
Force on a mass of 90 kg there is m*g or 90 * 1.625 N = 146.25 newtons.
(Your values for relative radius and mass are wrong: mass ratio is 1/81, size ratio is about 1/4, but 3/11 is closer! As you can see, your values are the square roots of the actual ratios, approximately).
2]A body doesn’t weigh 60 kg on Earth; it has a mass of 60 kg.
On Mars, on the Moon, etc., it will still have a mass of 60 kg. The mass doesn’t change.
To get the weight (in newton), look up the gravitational field on Earth (it’s about 9.8 m/s2, equivalent to 9.8 N/kg), and multiply that by the mass.
Similarly, to get the weight on Mars, look up the gravitational field on Mars, and multiply that by the mass.
If you want to do calculations based on the numbers you showed, use the general law of gravity - remember, it depends on the mass, and on the inverse square of the distance (to the center of the planet, in this case). This will give you a factor - multiply that by the gravitational field on Earth.
You still need to multiply the mass of the body by the gravitational field, though, to get the weight in newton.
3] (a ) A body of 90 kgf on the surface of earth.
I assume body weigh 90 kg on surface of earth.
And this is the measurement taken by balance weight tarazu given below
If you carry this above measurement tool and measure weigh on moon which gravity is 1/6th of earth gravity ( gravity of moon g= 1.622 m/s2 on the surface of moon), still you will measure the same 90 kg for the same body.
Is it surprising but true. Because this tool measure the mass directly.
(b) Now if you measure the same body with the help of below tool
Then it will measure:-
Will weigh 90 × 1/6= 15 kgs
Or will weigh 90× 1.622/9.8=15 kgs
9.8….earth gravity
1.622 ….moon gravity
This above machine is measure weight or force (due gravity). Weight or force is a term of physics.
Weight = force= mass of body× gravity
Weight = force= m× g
But this weigh measuring machine recalibrated in terms of mass and remove the factor 9.8 which is present due gravity. So this machine also measure mass of body on earth , 90 kgs due recalibration.
If this machine also recalibrate in terms of moon gravity g= 1.622 m/s2 , then this machine will also measure the weigh of same body directly 90 kgs on moon.
Weight of body is the mass of body only. This confusion happened because physics term weight used by the world for mass of the body.
Mass of any body never change anywhere in the universe. Mass means the matter contained by any object.
Explanation: