Which of the following statements about the periodic table is true?

Two circular coils are concentric and lie in the same plane. The inner coil contains 110 turns of wire, has a radius of 0.014 m,

Hatshy [7]

Answer:

The current flowing through the outer coils is

Explanation:

From the question we are told that

The number of turn of inner coil is $N _i = 110 \ turns$

The radius of inner coil is $r_i = 0.014 \ m$

The current flowing through the inner coil is $I_i = 9.0 \ A$

The number of turn of outer coil is $N_o = 160 \ turns$

The radius of outer coil is $r_o = 0.022\ m$

For net magnetic field at the common center of the two coils to be zero the current flowing in the outer coil must be opposite to current flowing inner coil

The magnetic field due to inner coils is mathematically represented as

$B_i = \frac{N_i \mu I}{2 r_i}$

The magnetic field due to inner coils is mathematically represented as

$B_o = \frac{N_o \mu I_o}{2 r_o}$

Now for magnetic field at center to be zero

$B_o = B_i$

So

$\frac{N_i \mu I_i}{2 r_i} = \frac{N_o \mu I_o}{2 r_o}$

=> $\frac{110 * 9}{2 * 0.014} = \frac{160 *I_o}{2 0.022}$

$I_o = 9.72 \ A$

6 0

3 years ago

What is the mass of a bicycle that has 90 kg.m/s of momentum at a speed of 6 m/s?

OLEGan [10]

Answer:

m = 15 kg

Explanation:

p = m × v

90 = m × 6

6m = 90

m = 90/6

m = 15 kg

6 0

2 years ago

Your heart pumps 80 g of blood with each beat. The blood starts from rest and reaches a speed of 0.60 m/s in the aorta. If each

Gala2k [10]

Answer:

d. 0.3 N

Explanation:

Force: This is defined as the product of mass of a body and its acceleration.

The S.I unit of Force is Newton (N).

Mathematically Force can be represented as,

F = ma .................. Equation 1

Where F = force, m = mass, a = acceleration.

also

a = (v-u)/t............... Equation 2

Where v = final velocity, u = initial velocity, t = time.

Given: v = 0.60 m/s, u = 0 m/s ( From rest), t= 0.16 s.

Substitute into equation 2

a = (0.60-0)/0.16

a = 3.75 m/s²

Also given: m = 80 g = 0.08 kg.

Substitute into equation 1,

F = 0.08(3.75)

F = 0.3 N.

Hence he average force = 0.3 N

The right option is d. 0.3 N

6 0

3 years ago

Which graph shows the relationship between temperature, X, and kinetic energy, Y?

strojnjashka [21]

Answer: see the graph attached (straight line, passing through the origin and positive slope).

Justification:

1) Kinetic energy and temperature are in direct proportion. That means:

i) Being kinetic energy y and temperature x: y α x

ii) That implies: y = kx,where k is the constant of proportionality.

iii) The graph is a line that passes through the origin and has positive slope k (k = y / x).

2) The proportional relationship between kinetic energy (KE) and temperature (T) is shown by the Boltzman law, which states:

Average KE = [3 / 2] KT, where K is Boltzman's constant, whose graph is of the form shown in the figure attached.

5 0

3 years ago

Read 2 more answers

The block in the figure below has a mass of 5.1 kg and it rests on an incline of angle . You pull on the rope with a force F = 3

viktelen [127]

42.9°

Explanation:

Let's assume that the x-axis is aligned with the incline and the positive direction is up the incline. We can then apply Newton's 2nd law as follows:

$x:\;\;\;\;F - mg\sin{\theta} = 0\;\;\;\;$

$\Rightarrow mg\sin{\theta} = F$

Note that the net force is zero because the block is moving with a constant speed when the angle of the incline is set at $\theta.$ Solving for the angle, we get

$\sin{\theta} = \dfrac{F}{mg}$

or

$\theta = \sin^{-1}\left(\dfrac{F}{mg}\right)$

$\;\;\;= \sin^{-1}\left[\dfrac{34\:\text{N}}{(5.1\:\text{kg})(9.8\:\text{m/s}^2)}\right]$

$\;\;\;=42.9°$

6 0

2 years ago