Vector A is of magnitude 12 m and it makes an angle of 37 degree with Y axis
So here we can say that
Similarly we have
So here we have
option A is correct
Answer:
B) 4/5
Explanation:
The magnitude of the electric force between the two spheres is given by
where
k is the Coulombs' constant
q1 and q2 are the charges on the two spheres
r is the distance between the two spheres
Initially, we have
So the force is
Later, the two spheres are brought together so they are in contact: this means that the total charge will redistribute equally on the two spheres (because they are identical).
The total charge is
So each sphere will have a charge of
So, the new force will be
And so the ratio of the two forces is
Answer:
Red photons have the least amount of energy
Explanation:
The relationship between the photon energy and the color of light is given by:
where
E is the energy
h is the Planck constant
c is the speed of light
is the wavelength (which determines the color of light)
As we see from the equation, energy and wavelength are inversely proportional: this means that the longer the wavelength, the lower the energy, and viceversa.
Among the colors in the visible light spectrum, red is the color with longest wavelength (620-750 nm) and violet is the color with shortest wavelength (380-450 nm). This means that red photons have the least amount of energy, while violet photons have the greatest amount of energy.
So the correct choice is
Red photons have the least amount of energy
A) 1153 N/m
We can find the spring constant by using Hooke's law:
where
F is the force applied to the spring
k is the spring constant
x is the displacement of the spring
In this problem, a fish of mass m = 4.0 kg is hanging on the spring, so the force applied is the weight of the fish:
and the displacement of the spring is:
so, the spring constant is
B) 16.8 cm
In this case, a fish of mass
m = 8.0 kg
is hanging on the spring. Therefore, the force applied to the spring is
So we can find the displacement of the spring:
And since the equilibrium length of the spring is
the new length of the spring will be