Answer:
v = 0.78 m/sec at 21.61° towards the east of north
Explanation:
Given a 19.3 kg dog is running northward at 2.98 m/s , while a 6.26 kg cat is running eastward at 3.64 m/s and the mass of the owner is 78.7 kg.
Given m(dog) = 19.3 kg and m(cat) = 6.26 kg
v(dog) = m/sec
v(cat) = m/sec
Given the
Let the velocity of the owner be
We know that
v=0.78 m/sec
for direction
Tan(α)=
where α is the angle toward east of north.
Tan(α)=
α=21.61°
The wavelength of the first order bright band light light is 714 nm .
Explanation:
We have to find the wavelength of the first order brightness of a light. Here we are using Huygen's principle of light.
The formula is
nλ =d sinθ
where, n is the order of maximum
λ is the wavelength of light
d is the distance between the lines on diffraction grating.
θ is the angle.
For the given equation n is 1 because the problem states that the light forms 1st order bright band
λ is unknown.
d = or 0.0000014 m
sin (30) = 0.5
so,
1(λ) = (0.0000014)(0.5)
= 0.0000000714
= 714 nm
Thus, The wavelength of the first order bright band light light is 714 nm .