Answer:
One- half
Step-by-step explanation:
Since the density is uniform
Mass of the sphere = [(4/3) π r^3] d
where d is the uniform density.
Mass of the sphere = [(4/3) π d] r^3 = k r^3
where k = [(4/3) π d] is a constant
Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r
Using Gauss’ law for gravitation,
Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,
Inside his weight is mg’ = (G m k r) /2 = mg/2
Answer is one-half.
Answer:
(19x - 1)° = 56°
(13x - 5)° = 34°
Step-by-step explanation:
Property of the interior angles of a triangle:
Sum of interior angles of a triangle is 180°.
Therefore, sum of angles of the given right triangle will be,
(19x - 1)° + (13x - 5)° + 90° = 180°
32x - 6 + 90 = 180
32x = 96
x = 3
(19x - 1)° = 19×3 - 1 = 56°
(13x - 5)° = 13×3 - 5 = 34°
The answer is 0.08571428571
