Answer:
Ф = 142.674 degree
Ф = 2.490131057 rad
wavelength = 0.396316 λ
Explanation:
Given data
combined wave having an amplitude 0.64 times
to find out
answer in degrees, radians, and fraction of the wavelength
solution
let us consider these two wave equation
Asin(ωt) and the Asin (ωt + Ф)
and here Ф is phase difference
so we say
resultant wave is
Y = Asin(ωt) + Asin (ωt + Ф) = Asin(ωt + Ф/2) cos ( Ф/2)
so Y = A' sin(ωt + Ф/2)
we know that here resultant wave amplitude is 2A cos ( Ф/2)
so
put A= 0.64 A
so 2Acos ( Ф/2) = 0.64 A
and Ф/2 = 71.3370
Ф = 142.674 degree
Ф = 2.490131057 rad
so wavelength is 2.490131057 / 2π
wavelength = 0.396316 λ
Answer:
The angle is
Solution:
As per the question:
Mass of the objects are same, say m Kg each
Let their initial speed be 'u'
Both the objects move apart from each other at m/s
Now, the angle between the objects' initial velocities is given by using the law of conservation of momentum:
Now, applying the principle of momentum conservation along the horizontal axis:
Now, momentum conservation along vertical axis:
Now, angle between the initial velocities of the objects:
GIven data:
Distance between the plates = 1.5 mm
Potential difference V = 600V
Charge on electron q = -1.6× C
mass on electron = m = 9.1× Kg
Solution:
First we will find the change in potential energy of the charge while moving through the potential difference of 600V.
ΔU = qΔV
= (-1.6×)(600)
= -9.6×J
By the law of conservation of mechanical energy, as there is no external force acting, so the sum of the kinetic and potential energies will be a constant.
K + U = E
ΔK + ΔU = 0
ΔK = -ΔU
1/2mv² = -ΔU
v² = -2ΔU/m
=
v =
v = 1.45× m/s
Answer:
Upward: Negative
Downward: Positve
Explanation:
Let upward be positive
We want to find the work done on the object upwards.
The equation of work done due to gravity is
It is read as force of gravity times displacement times cos of the angle between the force and displacement.
Since gravity is happening down of the center of mass and the displacement is upwards, the angle is 180° so
Cosine of 180 is -1
so
If we go downwards, the sign will be positive because cos(0)=1