Answer:
Explanation:
The energy of a single photon is given by:
where
h is the Planck constant
c is the speed of light
is the wavelength
For the photon in this problem,
So, its energy is
One mole of photons contains a number of photons equal to Avogadro number:
So, the total energy of one mole of photons is
The new gravitation force at the new location is 40 N
Explanation:
The weight of the astronaut is given by the equation
(1)
where
m is the mass of the astronaut
g is the acceleration of gravity
The acceleration of gravity at a certain distance from the centre of the Earth is given by
where G is the gravitational constant and M is the Earth's mass. So we can rewrite eq.(1) as
When the astronaut is on the Earth's surface, (where R is the Earth's radius), so his weight is
Later, he moves to another location where his distance from the Earth's surface is 3 times the previous distance, so the new distance from the Earth's centre is
Therefore, the new weight is
Which means that his weight has decreased by a factor 16: therefore, the new weight is
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Explanation:
Whenever an object is moving in a 2D frame,its motion can be analysed as if it is travelling in two independent 1D frames.
One of such independent 1D frames are along horizontal and another along vertical.
Let be the total velocity.
Given that,
We call the horizontal velocity as and the vertical velocity as
.
=
where is the angle between the object and horizontal.
It is given that