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umka21 [38]
3 years ago
8

What is the resultant displacement of a dog looking for its bone in the yard, if the dog first heads 55° north of west for 10.0

m, and then turns and heads west for 5.00 m?

Physics
1 answer:
labwork [276]3 years ago
5 0

Answer:

c = 13.5 m

Explanation:

from the attached diagram, we can apply the cosine rule to get the resultant displacement (c) where

c = \sqrt{a^{2}+b^{2}-2.a.b.cosθ}

  • from the diagram β = 55 degrees because they are alternate angles

         θ + β = 180  (sum of angles on a straight line )

         θ + 55 = 180

         θ = 180 - 55

        θ = 125 degrees

  • c = \sqrt{a^{2}+b^{2}-2.a.b.cosθ}

            c = \sqrt{5^{2}+10^{2}-2.5.10.cos125}

           c =\sqrt{25+100-(-57.4)}

           c = 13.5 m

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3 0
3 years ago
In terms of the dc current I, how much magnetic energy is stored in the insulating medium of a 3- m-long, air –filled section of
Alexxandr [17]

Answer:

The answer is 138.5

Explanation:

STEP 1:

The inductance per unit length of a coaxial transmission line is

L′=L<em>/ </em>I

 =Ø/H

=μoI/2π In (b/a)

In this a is the radius of inner conductor

b is the radius of outer conductor

I is the coaxial transmission

μ is the magnetic permeability

Since the transmission of the charge exists in air, the value of the relative permeability is μr= I and permeability of free space is μo=  4π x 10-7 H/m . So the magnetic permeability will be

μ = μoμ r

μ =μ o(I) 4π x 10-7 H/m

L′= μoI/2π In (b/a)

  = (4π x 10-7 ) (2)/2π In (10/5)

  =2.77 x 10-7 H

STEP 2:

Obtain the magnetic energy stores in the magnetic field H of a volume of the coaxial transmission line containing a material with permeability μ, by using the formula given below:

Wm= 1/2 LI^2

      = 1/2 (2.77x 10^-7 I^2

      = 138.5 X 10^-9 I^2 J

      Now we will simplify the equation

Wm= 185.5<em>I</em>^2 nJ

So, the magnetic energy stored in insulating medium is 185.5<em>I</em>^2 nJ

6 0
3 years ago
A formula for the normal systolic blood pressure for a man age a , measured in mmhg, is given as p=0. 006a2−0. 02a 120. Find the
djyliett [7]

The age of a man whose normal blood pressure measures 123 mm of hg

9 years

<h3>What is Quadratic equation ?</h3>

A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = ax^{2} + bx + c, where a, b, and c are numbers and a cannot be 0

P(A) = 0.006 a^{2} - 0.02a + 120

123 = 0.006- 0.02a + 120

0=0.006 a^{2} - 0.02a - 3

you can use the quadratic equation  formula to solve for the man's age.

A = (-b ± (\sqrt{b^{2} - 4*a*c})  ) / (2a)

A = (0.02 ±  \sqrt{(-0.02)^{2} - 4*0.006*(-3)}/ (2*0.006)

A = (0.02 ± \sqrt{0.0076}) / 0.012

A = 9 , -5.67

Age of the man will be 9 years

To learn more about quadratic equation  here

brainly.com/question/17177510?referrer=searchResults

#SPJ4

5 0
2 years ago
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