Answer:
Given that
m = 5.3 kg
Fx = 2x + 4
We know that work done by force F given as
w= ∫ F. dx
a)
Given that x=1.08 m to x=6.5 m
Fx = 2x + 4
w= ∫ F. dx

![w=\left [x^2+4x \right ]_{1.08}^{6.5}](https://tex.z-dn.net/?f=w%3D%5Cleft%20%5Bx%5E2%2B4x%20%5Cright%20%5D_%7B1.08%7D%5E%7B6.5%7D)

w=62.7 J
b)
We know that potential energy given as

∫ dU = -∫F.dx ( w= ∫ F. dx)
ΔU= -62.7 J
c)
We know that form work power energy theorem
Net work = Change in kinetic energy
W= KE₂ - KE₁
62.7 =KE₂ - (1/2)x 5.3 x 3²
KE₂ = 86.55 J
This is the kinetic energy at 6.5m
One should check the battery every week.
A battery if not maintained properly can cause it to die earlier or get damaged. The reasons why should the battery be checked regularly is that due to improper management of the battery and also the weather conditions, the battery usually gets corroded easily and the battery won't be able to work properly.
The connections must be checked properly so that the battery gets charged properly and should not die while driving.
Answer:
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Answer:

Explanation:
It is given that,
Wavelength in vacuum, 
Wavelength in vacuum, 
Refractive index for air,
First refractive index, 
Second refractive index, 
A ray is incident at an angle of incidence of 50 degrees. Let r is the angle of refraction. Firstly calculating the angle of refraction for two values of wavelength from Snell's law as :


For 450 nm, 
r = 32.13 degrees
For 650 nm, 
r' = 32.65 degrees
Let
is the angle of dispersion between the two refracted rays in the oil such that,



So, the angle of dispersion between the two refracted rays in the oil is closest to 0.52 degrees.