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liubo4ka [24]
3 years ago
6

If the force vector has a magnitude of F = 12.5 N, the displacement has a length of Δr = 0.75 m, and the angle between the vecto

rs is 25°, what will the dot product between the vector F and the vector Δr be? You can answer in joules (which is the same as newton-meters).
Physics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer: 8.81 J

Explanation: The scalar or dot product of 2 vector equals the product of the magnitude of both vectors and the cosine value of the angle between them

Magnitude of vector f (force) as given in the question = 12.5N

Magnitude of length = 0.75m

Angle between vectors = 25°

F. Δr = 12.5 * 0.75 * cos 25

F. Δr = 12.5 * 0.75 * 0.9063

F. Δr = 8.81 J

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A long, straight wire of radius R carries a steady current I that is uniformly distributed through the cross section of the wire
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Answer:

a

  When r \ge R

      B =  \frac{ \mu_o *  I}{ 2 \pi r }

b

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   B =  [\frac{\mu_o *  I }{ 2 \pi R^2} ]* r

Explanation:

From the question we are told that

   The  radius is  R  

   The  current is  I

    The  distance from the center

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       B[2 \pi r]  =  \mu_o  *  \frac{I r^2  }{R^2 }

      B =  \frac{ \mu_o}{2 \pi }  *  \frac{r}{R^2}

When r \ge R

=>     B =  \frac{ \mu_o *  I}{ 2 \pi r }

But when r< R

   B =  [\frac{\mu_o *  I }{ 2 \pi R^2} ]* r

     

4 0
3 years ago
In a double-slit experiment, if the central diffraction peak contains 13 interference fringes, how many fringes are contained wi
Ronch [10]

Answer:

Explanation:

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Width of central diffraction peak= 2 λ D/ d₁

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Width of other fringes become half , that is each of  secondary diffraction fringe is equal to

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Width of  each of  bright fringe =  λ D/ d₂

where d₂ is width of slit and D is screen distance and λ is wave length.

Now given that the central diffraction peak contains 13 interference fringes

so ( 2 λ D/ d₁)  /  λ  D/ d₂ = 13

then (  λ D/ d₁)  /  λ  D/ d₂ = 13 / 2

= 6.5

no of fringes  contained within each secondary diffraction peak = 6.5

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Two charged objects have a repulsive force of 0.050 N. If the charge of both of the objects is doubled, then what is the new for
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