I think the answer is false. not the WHOLE world, probably just a lot of it.
Answer:
≈ 2.1 R
Explanation:
The moment of inertia of the bodies can be calculated by the equation
I = ∫ r² dm
For bodies with symmetry this tabulated, the moment of inertia of the center of mass
Sphere = 2/5 M R²
Spherical shell = 2/3 M R²
The parallel axes theorem allows us to calculate the moment of inertia with respect to different axes, without knowing the moment of inertia of the center of mass
I = + M D²
Where M is the mass of the body and D is the distance from the center of mass to the axis of rotation
Let's start with the spherical shell, axis is along a diameter
D = 2R
Ic = + M D²
Ic = 2/3 MR² + M (2R)²
Ic = M R² (2/3 + 4)
Ic = 14/3 M R²
The sphere
Is = + M [²
Is = Ic
2/5 MR² + M ² = 14/3 MR²
² = R² (14/3 - 2/5)
= √ (R² (64/15)
= 2,066 R
The energy added here is potential energy since it is moving upward 180 meters in a gravitational field. This is then turned into KE when it rolls down. 2524N x 180m = 454,320J
The refractive index of a medium is independent of (not related to) the angles of incidence or refraction. It's just a property of the medium. <em>(D)</em>
To solve this problem it is necessary to apply the concepts related to Pressure, Strength and Area.
We know by definition that Pressure is the amount of Force expressed per unit area, that is,
Where,
F = Force
A = Cross-sectional Area
The net pressure on the bottle would be given by the difference between the internal pressure and the atmospheric pressure, therefore
The given radio is,
Hence the Cross-sectional Area would be
Applying the equation for Pressure we have that
Therefore the frictional force on the cork due to the neck of the bottle is 429.66N.