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:
10.06 ft
Step-by-step explanation:
Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.
The equation for the height reached by Maria on the trampoline is given as:

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).
Her velocity can be found by differentiating her height i.e. dh/dt:

Therefore, when v = 0:

It takes her 0.5625 seconds to get to her maximum height.
Therefore, her height at that time (0.5625 seconds) is:

Therefore, her maximum height is 10.06 ft.
Answer:
rearrange them properly to get
x-y=7
-3x+y=12
( by elimination method)
x-y = 7
-3x+y=
(x+ –3x) + (–y+y) = (7+12)
-2x+0= 19
x= -9.5
from eqn(i)
x-y=7
-9.5 - y=7
-y=16.5
y= -16.5
-20/48 x 6 =

x

I would cancel out the 6 in the numerator and the 48 in the denominator
Now I have <u />

or <u />

reduced.
-5 ÷ 2 = -2 1/2 and that is the answer in simplest form