The displacement covered by the bee that flies 2 meters east, 3 meters east, and 5 meters north is 7.05 meters.
Displacement of an object can be defined as the actual change in the position of an object. It is a vector quantity because it has both the direction and the magnitude.
The bee travels 2 meter east and 3 meters east. Therefore, the total distance covered in the east direction is (2+3) meters = 5 meters.
The bee travels 5 meters in the north direction. This makes a square of 5 meters dimension and in this condition, the displacement covered by the bee will be the diagonal of the square. Therefore, the total displacement of the bee can be calculated as:
Diagonal of square = a
where, a = side of the square
Side of the square = 5 meters
Diagonal of the square = × 5
= 1.41
Therefore, diagonal = 1.41 × 5
Displacement of the bee = 7.05 meters
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Answer:
The magnitude of the force is 124.23 N.
Explanation:
To known the magnitude of the force is necessary to find the acceleration, that can be done by means of the equations for a a Uniformly Accelerated Motion:
(1)
Where is the final velocity, is the initial velocity, a is the acceleration and t is the time.
(2)
(3)
By replacing (2) in equation (3) it is gotten:
Therefore, by subtracting the first and third term ( ⇒ ) it is got:
Applying common factor for :
(4)
Equation (4) can be rewritten in terms of t:
By knowing the time is possible to determine the acceleration by means of equation (2):
The magnitude of the force exerted by the person on the block can be determine by means of Newton's second law:
(5)
Hence, the magnitude of the force is 124.23 N.
Answer:
655 nm
Explanation:
When the intereference is destructive then the thickness, d of antireflective film coating one side is given by
2d=w/2n
Where w is wavelength and n is the reflective index of the film
Making w the subject of formula then
w=4nd
Substituting 1.25 for n and 131 nm for d then the wavelength will be
w=4*1.25*131=655 nm
Therefore, the wavelength is equivalent to 655 nm
The formula for calculating the wavelength in an antireflective film involves thickness (d) and refractive index (n). For n = 1.25 and d = 131 nm, the resulting wavelength is 655 nm.
When light waves encounter a thin film, some of the waves are reflected from the top surface of the film, and some pass through it. These waves can interfere with each other, leading to constructive or destructive interference. In the case of antireflective coatings, destructive interference is desired to minimize reflection.
The formula you mentioned is used to calculate the thickness (d) of an antireflective film that results in destructive interference for a specific wavelength (w) of light. The formula is:
2d = w / (2n)
Where:
d is the thickness of the film.
w is the wavelength of light.
n is the refractive index of the film.
To find the wavelength (w) when given the thickness (d) and refractive index (n), you can rearrange the formula:
w = 4 * n * d
Now, let's calculate the wavelength using the provided values:
n = 1.25 (refractive index)
d = 131 nm (thickness in nanometers)
Substitute these values into the formula:
w = 4 * 1.25 * 131 = 655 nm
Therefore, the calculated wavelength (w) is 655 nanometers (nm). This means that for a film with a refractive index of 1.25 and a thickness of 131 nm, destructive interference occurs at a wavelength of 655 nm.
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B.atom
C.electron
D.molecule
Answer:
Battery stores the electrical energy in the chemical form. When we connect it's positive and negative terminals and provide the path for the flow of electrons then it converts that chemical energy into the electrical energy and hence the direct current is created. So both of the technicians are right.
Explanation:
J.J. Thomson
Ernest Rutherford
Neils Bohr
Answer : The amount of heat is required is, 1672 J
Solution :
Formula used :
Q= heat gained
m= mass of the substance = 20 g
c = heat capacity of water = 4.18 J/g ° C
= final temperature =
= initial temperature =
Now put all the given values in the above formula, we get the heat required.
Q = 1672 Joules
Therefore, the amount of heat is required is, 1672 J