Chromatic aberration comes from the fact that different wavelengths of light travel at different speeds through the material of
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Answer:
Speed of electron when their separation increased by a factor of 4.10 is 9.41 x 10⁵ m/s .
Explanation:
The electric potential energy is given by the relation :
Here q₁ and q₂ are the two charge particles and r is the distance between them and k is electric constant.
In this case, there are two electrons which are separated by the distance 4.32 x 10⁻¹⁰ m.
Let e be the electron charge and r₁ be the distance between them. Then, the initial electric potential energy is :
Now, the distance between the electrons increases by the factor of 4.10. Let r₂ be the new distance between them i.e. r₂ = 4.10 r₁.
Thus, the new electric potential energy is :
Applying law of conservation of energy :
ΔU = ΔK
Here ΔU is change in electric potential energy and ΔK is change in kinetic energy.
( U₁ - U₂ ) = ( K₂ - K₁ )
Here K₂ and K₁ are initial and final kinetic energy of electron.
Since, the electron initially is at rest, so its initial kinetic energy is zero. Thus, the above equation becomes:
K₂ = U₁ - U₂
Here m and v are the mass and final speed of electron respectively.
Substitute 9.1 x 10⁻³¹ kg for m, 9 x 10⁹ N m² C⁻² for k, 1.6 x 10⁻¹⁹ C for e and 4.32 x 10⁻¹⁰ m for r₁ in the above equation.
v = 9.41 x 10⁵ m/s
Answer:
Approximately . (Assuming that
, and that the tabletop is level.)
Explanation:
Weight of the book:
.
If the tabletop is level, the normal force on the book will be equal (in magnitude) to weight of the book. Hence, .
As a side note, the and
on this book are not equal- these two forces are equal in size but point in the opposite directions.
When the book is moving, the friction on it will be equal to
, the coefficient of kinetic friction, times
, the normal force that's acting on it.
That is:
.
Friction acts in the opposite direction of the object's motion. The friction here should act in the opposite direction of that applied force. The net force on the book shall be:
.
Apply Newton's Second Law to find the acceleration of this book:
.