Answer:
y = y₀ / 4
Explanation:
In a double slit experiment the constructive interference lines are given by
d sin θ = m λ
if we use trigonometry
tan θ = y / L
as in these experiments the angles are very small
tan θ = sin θ /cos θ = sin θ
we substitute
sin θ = y / L
d y / L = m λ
let's use a subscript "o" for the initial values
I = m λ₀ L /d₀
They ask us to decrease the wavelength by 2
λ = λ₀ / 2
the distance in the slit is increased by a factor of two
d = 2 d₀
we substitute
2d₀ y/L = m λ₀/2
y = m λ₀ L/d₀ ¼
y = y₀ / 4
If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .
Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.
According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.
According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.
since, potential energy is stored in the form of work done
Work done = Fs cos (theta)
If force always acts perpendicular to an object's direction of motion
theta = 90 °
cos (90 ) = 0
Work done = 0
since , there is no work done , hence kinetic energy will not change
To learn more about kinetic energy here
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Answer:
2296 m
Explanation:
Since the pilot is flying in a loop (circular motion), there is centripetal force acting on him.
The centripetal force at any point during the motion is the result of the combined action of the force of gravity () and the normal reaction (). However, here we are told that when the plane is upside-down, the pilot feels weightless: this means that the normal reaction is zero,
N = 0
So the gravitational force entirely provides the centripetal force, so we can write:
where
m = 80 kg is the mass of the pilot
is the acceleration due to gravity
v = 150 m/s is the speed of the pilot
r is the radius of the loop
And solving for r, we can find the radius of the loop:
mass of two students are
distance between them is given as
now gravitational force between them is given as
now plug in all values
so above is the force of gravitation between them