Answer:

and

Explanation:
See attached figure.
E due to sphere
E due to particule
(1)
according to the law of gauss and superposition Law:
; electric field due to the small sphere with r1=R/4


then:
(2)
on the other hand, for the particule:

⇒
(3)
We replace (2) y (3) in (1):


--------------------
if R<x<2R AND 

remember that 
then:

solving:


but: R<x<2R
so : 
Answer:
1.41 m/s^2
Explanation:
First of all, let's convert the two speeds from km/h to m/s:


Now we find the centripetal acceleration which is given by

where
v = 12.8 m/s is the speed
r = 140 m is the radius of the curve
Substituting values, we find

we also have a tangential acceleration, which is given by

where
t = 17.0 s
Substituting values,

The two components of the acceleration are perpendicular to each other, so we can find the resultant acceleration by using Pythagorean theorem:

Answer:
If you're taking the power of a number with an uncertainty, you multiply the relative uncertainty by the number in the power.
Explanation:
Answer:
laser's wavelength λ = 597.4 nm
Explanation:
Given:
Slit spacing, d = 1.17mm
Tenth bright fringe y = 4.57cm
Distance from slits, D = 8.95m
n = 10
λ = (d * y) / (D * n)
λ = (1.17x10⁻³ * 4.57x10⁻²) / (8.95 x 10)
λ = 5.3469x10⁻⁵ / 8.95x10¹
λ = 0.5974 x 10⁻⁵⁻¹
λ = 0.5974 x 10⁻⁶ m
λ = 597.4 x 10⁻⁹ m
λ = 597.4 nm