Answer:
The maximum wavelength is 492 nm.
Explanation:
Given that,
Angular separation 
Suppose a telescope with a small circular aperture of diameter 2.0 cm.
We need to calculate the maximum wavelength
Using formula of angular separation


Put the value into the formula

For small angle 



Hence, The maximum wavelength is 492 nm.
The gravitational constant (G) in its base SI units is
3/2
m
3
k
g
/
s
2
But is often seen written as
⋅
N
⋅
2/2
m
2
/
k
g
2
Where N is the Newton unit. N=kg ⋅
⋅
m/s 2
2
Answer:
W = 290.7 dynes*cm
Explanation:
d = 1/5 cm = 0.2 cm
The force is in function of the depth x:
F(x) = 1000 * (1 + 2*x)^2
We can expand that as:
F(x) = 1000 * (1 + 4*x + 4x^2)
F(x) = 1000 + 4000*x + 4000*x^2
Work is defined as
W = F * d
Since we have non constant force we integrate

W = [1000*x + 2000*x^2 + 1333*X^3] evaluated between 0 and 0.2
W = 1000*0.2 + 2000*0.2^2 + 1333*0.2^3 - 1000*0 - 2000*0^2 - 1333*0^3
W = 200 + 80 + 10.7 = 290.7 dynes*cm
Answer
Maximum speed at 75 m radius will be 22.625 m /sec
Explanation:
We have given radius of the curve r = 150 m
Maximum speed 
Coefficient of friction 
Now new radius r = 75 m
So maximum speed at new radius 