Answer with Explanation:
We are given that
Restoring force,


We have to find the work must you do to compress this spring 15 cm.
Using 1 m=100 cm
Work done=
W=
![W=k[\frac{(\Delta s)^2}{2}]^{0.15}_{0}+q[\frac{(\Delta s)^4}{4}]^{0.15}_{0}](https://tex.z-dn.net/?f=W%3Dk%5B%5Cfrac%7B%28%5CDelta%20s%29%5E2%7D%7B2%7D%5D%5E%7B0.15%7D_%7B0%7D%2Bq%5B%5Cfrac%7B%28%5CDelta%20s%29%5E4%7D%7B4%7D%5D%5E%7B0.15%7D_%7B0%7D)


Ideal spring work=
Percentage increase in work=
%
Explanation:
Relation between electric field and charge density is as follows.
E = 
where,
= charge density
= permittivity of free space = 
So,
= 0
or, 
Now, formula to calculate the potential difference of two conductors is as follows.

It is given that,
d = 6.0 mm = 

Hence, we will calculate the magnitude of the electric potential differences between the two conductors as follows.

=
= 0.0271 volts
thus, we can conclude that value of the magnitude of the electric potential differences between the two conductors is 0.0271 volts.
Answer:
a) The maximum contact pressure is 274.58 MPa and the width of contact is 0.058 mm
b) The maximum shear stress is 82.37 MPa at a distance of 0.023 mm
Explanation:
Given data:
L = 20 mm
F = 250 N
r₁ = 10 mm
r₂ = 15 mm
v = 0.3
E = 2.07x10⁵ MPa

a) The maximum contact pressure is:

The width of contact is:

b) According the graph elastic stresses below the surface, for v = 0.3, the maximum shear stress is
T = 0.3*P = 0.3 * 274.58 = 82.37 MPa
At a distance of
0.8*b = 0.8*0.029 = 0.023 mm
550 nm is in the visible spectrum. 400 nm is in the ultra-violet spectrum. The shorter the wavelength, the bigger the energy of the light photon emitted. Therefore a star that emits 400 nm photons, is hotter than the Sun. A star that is hotter is either bigger than the Sun (and has about the same age), either younger than the Sun (and has about the same dimension).
Therefore a star that radiates at 400 nm would be hotter, bigger and younger than the Sun.
Answer:
44.1613858478 m/s
Explanation:
t = Time taken
u = Initial velocity = 0
v = Final velocity
s = Displacement = 99.4
a = Acceleration
g = Acceleration due to gravity = 9.81 m/s² = a

If air resistance was absent Dan Koko would strike the airbag at 44.1613858478 m/s