Answer:
average acceleration = 6 
Explanation:
Recall that the average acceleration 
is defined by the change in velocity from an initial velocity 
, to a final velocity 
over the time (t) it took that change to happen. Then, in mathematical terms this is:
with our information this becomes:
Can you send a pic of the question
If the earth did not rotate, one half of the earth would be dark and the other side of the Earth would be light. The bright side would be too hot and the other side would be too cold. Also if the Earth did not rotate, then the two poles and the equator would be easily effected.
Answer: 4.86
Explanation:
sphere moment of Inertia Iₑ = (2/5)mrₑ²
Let the sphere of radius 1.59 cm be x
Let the spherical shell of radius 7.72 cm be y, so that
Iₑ(x) = 2/5 * m * 1.59²
Iₑ(x) = 2/5 * m * 2.5281
Iₑ(x) = 1.011m
Iₑ(y) = 2/5 * m * 7.72²
Iₑ(y) = 2/5 * m * 59.5984
Iₑ(y) = 23.84m
Also, the angular speed of the sphere's would be ωₑ(x) and ωₑ(y)
total k.e = rotational k.e + linear k.e
for sphere = ½Iₑωₑ² + ½mωₑ²rₑ²
For sphere x
{ωₑ²[ 1.011 + 1.59²]} =
ωₑ²(1.011 + 2.5281) =
ωₑ²(3.5391)
For sphere y
{ωₑ²[ 23.84 + 7.72²]} =
ωₑ²(23.84 + 59.5984) =
ωₑ²(83.4384)
If the ratio of x/y = 1, then
ωₑ(x)²(3.5391) / ωₑ(y)²(83.4384) = 1
ωₑ(x)²(3.5391) = ωₑ(y)²(83.4384)
[ωₔ(x)/ωₑ(y)]² = [83.4384] / [3.5391] ~= 23.5762
[ωₔ(x)/ωₑ(y)] = √(23.5762)
[ωₔ(x)/ωₑ(y)] = 4.86
