Answer:
Frequency of the light will be equal to
Explanation:
We have given wavelength of the light
Velocity of light is equal to
We have to find the frequency of light
We know that velocity is equal to , here
is wavelength and f is frequency of light
So frequency of light will be equal to
So frequency of the light will be equal to
Answer:
2.84 m/s
Explanation:
At the top position of the circular trajectory, the normal reaction is zero:
N = 0
So it means that the only force that is providing the centripetal force is the gravitational force (the weight of the bucket). Therefore we have:
where
m is the mass of the water bucket
g = 9.8 m/s^2 is the acceleration of gravity
v is the speed of the bucket
r = 0.824 m is the radius of the circle
Solving for v,
Answer:
The rate of change of the distance between the helicopter and yourself (in ft/s) after 5 s is ft/ sec
Explanation:
Given:
h(t) = 25 ft/sec
x(t) = 10 ft/ sec
h(5) = 25 ft/sec . 5 = 125 ft
x(5) = 10 ft/sec . 5 = 50 ft
Now we can calculate the distance between the person and the helicopter by using the Pythagorean theorem
Lets find the derivative of distance with respect to time
Substituting the values of h(t) and x(t) and simplifying we get,
=
=
ft / sec