Can u pls solve the 5 th one
Dear Student,
Gravity on moon is 1/6th of that on earth and by F = mg we can conclude that weight will be 1/6th on moon.
Mathematically how g at moon is g/6 :
Mass of Moon = 7.34 × 10²² kg
Radius of moon = 1737 km = 1.737 × 10⁶ m
a = GM / R²
= (6.67 × 10⁻¹¹ × 7.34 × 10²²) / (1.737 × 10⁶)²
= 1.6 m/s²
We know that acceleration due to Earth’s gravity (g) is 9.8 m/s²
Comparing a and g we get
a = g/6
The weight of a body,'w' of mass 'm' is given by: W =mg
where 'g' is the acceleration due to gravity
At the centre of earth, value of g is zero.
Therefore:
Weight of a body at the centre of the earth, w = mg
At the centre of earth, g=0
Weight=m × 0
Weight =0
The body will be have zero weight at centre of earth.
Regards.
Gravity on moon is 1/6th of that on earth and by F = mg we can conclude that weight will be 1/6th on moon.
Mathematically how g at moon is g/6 :
Mass of Moon = 7.34 × 10²² kg
Radius of moon = 1737 km = 1.737 × 10⁶ m
a = GM / R²
= (6.67 × 10⁻¹¹ × 7.34 × 10²²) / (1.737 × 10⁶)²
= 1.6 m/s²
We know that acceleration due to Earth’s gravity (g) is 9.8 m/s²
Comparing a and g we get
a = g/6
Weight of a body is the force with which it is attracted towards the centre of earth.
The weight of a body,'w' of mass 'm' is given by: W =mg
where 'g' is the acceleration due to gravity
At the centre of earth, value of g is zero.
Therefore:
Weight of a body at the centre of the earth, w = mg
At the centre of earth, g=0
Weight=m × 0
Weight =0
The body will be have zero weight at centre of earth.
Regards.