Answer:

Explanation:
We know that
Acceleration due to gravity g is given by the formula

G= gravitational constant
M= mass of the Earth
r= radius of the earth
Let acc. due to gravity after radius is 20% greater be g_2
then

=> g1/g2 = (r_2/r_1)^2 => g2 = 9.81/1.2^2 = 6.8125
Answer:
Explanation:
At the temperature of 1000K , hydrogen will have following degree of freedom
translational = 3
rotational = 2
vibrational = 1
Total = 6
Internal energy = 6N x 1 /2 k T where N is no of molecules
E₁ = 3 N kT
At the temperature of 1000K , helium will have following degree of freedom
translational = 3
rotational = 0
vibrational = 0
Total = 3
Internal energy = 3N x 1 /2 k T where N is no of molecules
E₂ = 3 / 2 N kT
Ratio = E₁ / E₂
= 2
Answer:
(a) The "angular speed" is 5.88 rad/s.
Explanation:
Given values,
The length of the bar is L = 2m
The weight of the bar is w = 90 N
The metal bar is hanging vertically from the ceiling by a frictionless pivot
The mass of the ball is m = 3kg
The distance between the ceiling and the ball is d = 1.5m


(a) Calculating the angular speed:




The angular speed is 5.88 rad/s.
(b) The "angular momentum" is conserved because the torque is not exerted by "the pivot" on the system about the "axis of rotation" but the "linear momentum" is not conserved because "the pivot" exerts a "vertical" and a "horizontal force" on the system during the collision.