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alekssr [168]
3 years ago
14

A 240 m long segment of wire is hanging between 2 transmission lines. What is the total magnetic force only (ignore gravitationa

l force) on this segment of wire if the current in the wire is 500 A and the field strength is 3e-5 T
Physics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

<em>7.2 N</em>

Explanation:

length of wire L  = 240 m

current I = 500 A

field strength B = 3 x 10^-5 T

magnetic force on a current carrying conductor F is given as

F = BILsin∅

The wires are perpendicular with field therefore sin∅ = sin 90° = 1

therefore,

F = BIL = 3 x 10^-5 X 500 X 240 = 3.6 N

<em>If the wire exists between this two transmission lines, then total magnetic force on the wire = 2 x 3.6 = 7.2 N</em>

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A 0.40-kg mass is attached to a spring with a force constant of k = 277 N/m, and the mass–spring system is set into oscillation
valentina_108 [34]

To solve this problem it is necessary to apply the concepts related to the kinetic energy expressed in terms of simple harmonic movement, as well as the concepts related to angular velocity and acceleration and linear acceleration and velocity.

By definition we know that the angular velocity of a body can be described as a function of mass and spring constant as

\omega = \sqrt{\frac{k}{m}}

Where,

k = Spring constant

m = mass

From the given values the angular velocity would be

\omega = \sqrt{\frac{277}{0.4}}

\omega = 26.31rad/s

The kinetic energy on its part is expressed as

E = \frac{1}{2} m\omega^2A^2

Where,

A = Amplitude

\omega = Angular Velocity

m = Mass

PART A) Replacing previously given values the energy in the system would be

E = \frac{1}{2} m\omega^2A^2

E = \frac{1}{2} (0.4)(26.31)^2(3*10^{-2})^2

E= 0.1245J

PART B) Through the amplitude and angular velocity it is possible to know the linear velocity by means of the relation

v = A\omega

v = (3*10^{-2})(26.31)

v = 0.7893m/s

PART C) Finally, the relationship between linear acceleration and angular velocity is subject to

a = A\omega^2

a = (3*10^{-2})(26.31)^2

a = 20.76m/s^2

7 0
3 years ago
Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. H
kirill [66]

Answer:

             U = 1 / r²

Explanation:

In this exercise they do not ask for potential energy giving the expression of force, since these two quantities are related

             

         F = - dU / dr

this derivative is a gradient, that is, a directional derivative, so we must have

          dU = - F. dr

the esxresion for strength is

         F = B / r³

let's replace

          ∫ dU = - ∫ B / r³  dr

in this case the force and the displacement are parallel, therefore the scalar product is reduced to the algebraic product

let's evaluate the integrals

            U - Uo = -B (- / 2r² + 1 / 2r₀²)

To complete the calculation we must fix the energy at a point, in general the most common choice is to make the potential energy zero (Uo = 0) for when the distance is infinite (r = ∞)

             U = B / 2r²

we substitute the value of B = 2

             U = 1 / r²

5 0
3 years ago
A rope attached to a sledge makes an angle of 40° with the ground. Calculate the tension in the rope required to produce a horiz
oksano4ka [1.4K]

let the tension force in the rope attached to the sledge be "T"

θ  = angle of rope with the horizontal = 40 deg

X = horizontal component of tension force "T" = 100 N

horizontal component of tension force "T" is given as

X = T Cosθ

100 = T Cos40

T = 130.54 N


Y = vertical component of the tension force = ?

vertical component of the tension force is given as

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7 0
3 years ago
How does wheel and axel work​
Andrew [12]

Once the object is moving, the force of friction opposes the force exerted on the object. The wheel and axle makes this easier by reducing the friction involved in moving an object.

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4 0
3 years ago
Read 2 more answers
A pin-supported, vertically-oriented 1-m long thin rod is struck by a pellet at m down from the pin at the top. The mass of the
Natasha_Volkova [10]

Answer:

the angular velocity of the rod immediately after being struck by the pellet, provided that the pellet gets lodged in the rod is = 0.5036 k` rad/s

Explanation:

Using the conservation of momentum of approach.

From the question; the pellet is hitting at a distance of 0.4 m down from the point of rotation of the rod.

So, the angular momentum of the system just before the collision occurs  with respect to the axis of the rotation is expressed by the formula:

L_i ^ { ^  \to } = mp ( r_y } ^ { ^  \to }  * v_{pi}  ^ { ^  \to } )    ----- equation (1)

The position vector can now be :

x ^ { ^  \to } = - 0.4 \ j \ m

Also, given that :

v_{p,i}  ^ { ^  \to } = (280 \ i - 350 \  j)  \ m/s

Replacing the value into above equation (1); we have:

L_i ^ { ^  \to } =0.012 ((- \ 0.4 \  j) *(280 \ i - 350 \ j ))

L_i ^ { ^  \to } =0.012 * 112 \  k    (by using cross product )

L_i ^ { ^  \to } = 1.344 k` \  \  kg  m^2 s^{-1}

However; the moment of inertia of the rod about the axis of rotation is :

I_{rod} = \frac{1}{3}m_rl^2  \\ \\ I_{rod} = \frac{1}{3}*8*1^2 \\ \\ I_{rod} = \frac{8}{3} \ \  kg  \ m^2

Also, the moment of inertia of the pellet about the axis of rotation is:

I_{pellet} = m_pr_y^2 \\ \\ I_{pellet} = 0.012 *0.4^2  \\ \\ I_{pellet} = 1.92*10^{-3} kg . m^2

So, the moment of inertia of the rod +pellet system is:

I = I_{rod}+I_{pellet}

I =( \frac{8}{3}+1.92 *10^{-3} )kg. m^2

I = 2.6686 \  kg. m^2

The final angular momentum is :

L_f ^ {^ \to}  = I \omega { ^ {^ \to} } = 2.6686 \  \omega  ^ {^ \to}

The angular velocity of the rod \omega is determined by equating the angular momentum just before the collision with the final angular momentum (i.e after the collision).

So;

L_f ^ {^ \to} = L_i ^ { ^ \to}

2.6686 \omega ^ {^ \to} = 1.344 \ k ^ {^ \to}

\omega  ^ {^ \to} = \frac{1.344 \ k`}{2.6686}

= 0.5036 k` rad/s

Hence; the angular velocity of the rod immediately after being struck by the pellet, provided that the pellet gets lodged in the rod is = 0.5036 k` rad/s

7 0
4 years ago
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