Answer: 57.85m above the water
Explanation:
The height is 110m
the initial lenght of the cord is 35m
the spring constant is 44N/m
your mass is 77kg, so your weight is W = 77kg*9.8m/s^2 = 754.6N
So the force that the spring needs to do to cancelate this weight, is
x*44N/m = 756.6N
x = (756.6/44)m = 17.15m
So, at this point, the total elongation of the spring is:
35m + 17.15m = 52.15m
then the distance to the water is:
d = 110m - 52.15m = 57.85m
Find the volume of the bottom and top separately and then add them.
Cylinder volume is the area of the bottom times the height
(22/7)(5^2)•175=13750 ft^3
The volume of a sphere is
V=(4/3)(22/7)r^3
where r is the radius. Here that's also 5 since it fits on the cylinder.
Also we only want half the sphere so use
V=(2/3)(22/7)•5^3=261.9 ft^3
Which we round upto 262.
Now add the parts together
13750+262=14,012 ft^3
Answer:
the separation of the interference maxima is directly proportional to the wavelength
the greatest separation must be obtained for the red light of
λ = 700
Explanation:
The double slit interference experiment is explained for the constructive interference case by the expression
d sin θ = m λ
where d is the separation between the slits, θ at the angle of separation of the different maxima, λ the wavelength and m the order of interference.
In these experiments the angles are always very small, so if the observation screen is at a large distance and y is the distance between the maximums, we can use trigonometry
tan θ = y / L
as the angle is small we can also use
tan θ = sin θ / cos θ = sin θ
when substituting we find
sin θ = y / L
the contributory interference equation remains
d y / L = m λ
y = m (L / d) λ
the quantity in parentheses is constant, so the variation in the separation of the interference maxima is directly proportional to the wavelength
by which the greatest separation must be obtained for the red light of
λ = 700
Answer:
A secant line is a straight line joining two points on a function. It is also equivalent to the average rate of change, or simply the slope between two points. The average rate of change of a function between two points and the slope between two points are the same thing.
Explanation:
Maybe this will help :)