please answer these questions
Answers
Force of attraction due to gravity is known as
(1) f = G * m1 * m2r2f = G * m1 * m2r2
Now when the mass of both bodies is reduced to half, the resultant force is
fnew = G * m12 * m22r2fnew = G * m12 * m22r2
fnew = f4fnew = f4
The force of attraction reduces by a factor of 4
As the attraction force between the two bodies is proportional to the inverse of the square of them, if this distance is multiplied by 4, the attraction force is divided by 16
(2) The answer to this question is following:
m₁ = m₂ = 20kg
r = 50cm or 0.5m
G = 6.67 x 10⁻¹¹
formula of force
F = Gm₁m / r²
= 6.67 x 10⁻¹¹ x 20 x 20 / 0.5
= 1.067 x 10⁻⁷
(3)
g
: Acceleration due to gravity is the acceleration acquired by a body due to the earth's gravitational pull on it.
: g is a vector quantity
: It is different in different places on the surface of the earth is also different from one celestial body to another
G
: Gravitational constant is mathematically equivalent to the force of attraction between two masses of 1kg that are separated by a distance of 1m.
: G is a scalar quantity
: The G is a universal constant i.e its value the same (i.e.6.67 × 10 ^ -11 nm ^ 2kg ^ 2) everywhere is the universe
(4) It is your weight that will change
Your weight on Earth is (75 kg * 9.8 m / s ^ 2)
while your weight on the moon is (75kg * 1.63m / s ^ 2).
Simplifying the designated multiplications gives us these results: Your weight on Earth is 735 newtons whereas that on the moon is 122 newtons.
(5) Free fall is the term that is used to describe a falling object. Objects with a free-fall accelerate at a rate of 9.8 m / s / s
Motion of a body projected vertically upwards
h = ut-0.5 gt ^ 2