Radius of Betelgeuse

What is the measure of how difficult it is for current to flow in a circuit

LenaWriter [7]

The resistance of a circuit is a measure of the energy
that a current loses while flowing through the circuit.

Ease or difficulty is not a helpful concept in the case of
an electrical circuit.

3 0

4 years ago

Calcular el módulo del vector resultante de dos vectores fuerza de 9 [N] y 12 [N] concurrentes en un punto o, cuyas direcciones

sdas [7]

Answer:

a) 20.29N

b) 19.43N

c) 15N

Explanation:

To find the magnitude of the resultant vectors you first calculate the components of the vector for the angle in between them, next, you sum the x and y component, and finally, you calculate the magnitude.

In all these calculations you can asume that one of the vectors coincides with the x-axis.

a)

$F_R=(9cos(30\°)+12)\hat{i}+(9sin(30\°))\hat{j}\\\\F_R=(19.79N)\hat{i}+(4.5N)\hat{j}\\\\|F_R|=\sqrt{(19.79N)^2+(4.5N)^2}=20.29N$

b)

$F_R=(9cos(45\°)+12)\hat{i}+(9sin(45\°))\hat{j}\\\\F_R=(18.36N)\hat{i}+(6.36N)\hat{j}\\\\|F_R|=\sqrt{(18.36N)^2+(6.36N)^2}=19.43N$

c)

$F_R=(9cos(90\°)+12)\hat{i}+(9sin(90\°))\hat{j}\\\\F_R=(12N)\hat{i}+(9N)\hat{j}\\\\|F_R|=\sqrt{(12N)^2+(9N)^2}=15N$

7 0

3 years ago

What is the difference between transformation of energy and transfer of energy

Svetllana [295]

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Featured snippet from the web

In energy transfer, happens from one object to another without changing its form. For example, when you fill a pot of water and sit it on the stove, the water continues to heat until you turn it off. While in a energy transformation, the energy changes forms such as Chemical, kinetic.

6 0

4 years ago

A traffic expert wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He a

galben [10]

Answer:

<em>Speed s= 19</em>

<u>Explanation:</u>

Take note of the following parameters:

Speed= s,

Number of cars= N,

Number N of cars that can pass a given spot per minute=

N(s)=88s/16+16(s19)2

The principle of differentiation is here:

We let N(s) = N

N = 86s / (17 + 17((s/19)^2))

17N = 86s /(1 + s²/19²)

17N = 361* 86s /(361 + s²)

17N = 31046s /(361 + s²)

Next step;

Differentiate with respect to s

17N = 31046s /(361 + s²)

Remember the quotient rule [u/v]’ = (vu’ - uv’) / v²

Therefore,

u = 31046s =====> du/ds = u’ = 31046

v = (361 + s²) ====>dv/ds = v’ = 2s

17N = 31046s /(361 + s²)

17 dN/ds = ( 31046(361 + s²) - 31046s(2s) ) / (361 + s²)²

The maximum when dN/ds = 0

17 dN/ds = ( 31046(361 + s²) - 31046s(2s) ) / (361 + s²)²

17 * 0 = ( 31046(361 + s²) - 31046s(2s) ) / (361 + s²)²

( 31046(361 + s²) - 31046s(2s) ) = 0

31046 [ (361 + s²) - 2s² ] = 0

31046 (361 - s²) = 0

(361 - s²) = 0

(19 - s)(19 + s) = 0

either s = -19 or s = 19, but s > 0

s = 19

4 0

3 years ago

A steel ball of mass 3 kg moving at 2.4 m/s to the left hits a stationary, 4 kg glob of clay. The ball becomes imbedded in the c

Kitty [74]

Answer:

V = 1.02 m/s

Explanation:

Given that,

The mass of a steel ball, m₁ = 3 kg

The mass of glob of clay, m₂ = 4 kg

The speed of a steel ball, u₁ = 2.4 m/s

The speed of glob, u₂ = 0 (at rest)

Let V be the combined speed of the system. Using the conservation of energy to find the combined speed.

$V=\dfrac{m_1u_1+m_2u_2}{(m_1+m_2)}\\\\V=\dfrac{3(2.4)+4(0)}{(3+4)}\\\\V=1.02\ m/s$

So, the combined speed is 1.02 m/s in left direction.

3 0

3 years ago