Answer:

**Given Information: **

time = Δt = 0.0250 seconds

Radius = r = 5 cm = 0.05 m

Change in Magnetic field = ΔB = (0.300 - 0.200) T

Number of turns = N = 1

**Required Information: **

Magnitude of induced emf = ξ = ?

**Answer: **

Magnitude of induced emf = ξ = 3.141x10⁻² V

**Explanation: **

The EMF induced in a circular loop of wire in a changing magnetic field is given by

ξ = -NΔΦ/Δt

Where change in flux ΔΦ is given by

ΔΦ = ΔBA

ΔΦ = ΔBπr²

ΔΦ = (0.300 - 0.200)*π*(0.05)²

ΔΦ = 7.854x10⁻⁴ T.m²

ξ = -NΔΦ/Δt

ξ = -(1*7.854x10⁻⁴)/0.0250

ξ = -3.141x10⁻² V

The negative sign is due to Lenz law.

Answer:

Answer:

-0.0314 V

Explanation:

Parameters given:

Initial magnetic field, Bini = 200 mT = 0.2T

Final magnetic field, Bfin = 300mT = 0.3 T

Number of turns, N = 1

Radius, r = 5 cm = 0.05 m

Time, t = 0.025 secs

Induced EMF is given as:

EMF = [-(Bfin - Bini) * N * pi * r²] / t

EMF = [-(0.3 - 0.2) * 1 * 3.142 * 0.05²] / 0.025

EMF = (-0.1 * 3.142 * 0.0025) / 0.025

EMF = -0.0314 V

PageE QON1 What is force ? Write its unit and mentionanythree effects of the force.

Hercules X-1 is a pulsating X-ray source. The X-rays from this source sometimes completely disappear for 6 hours every 1.7 days because the neutron star has a 1.7-day orbital period around its companion star, and it is eclipsed for ____ hours once every orbital period.

Find the average speed of the electrons in a 1.0 cm diameter, copper power line, when it carries a current of 20 A.

An unladen swallow that weighs 0.03 kg flies straight northeast a distance of 125 km in 4.0 hours. With the x x direction due east and the y y direction due north, what is the average momentum of the bird (in unit vector notation)?

A proton and an alpha particle (helium nucleus consisting of two protons and two neutrons) are accelerated from rest across the same potential difference. Assume the proton mass and the neutron mass are roughly the same and neglect any relativistic effect. Compared to the final speed of the proton, the final speed of the alpha particle is?1. less by a factor of 22. less by a factor of √ 23. less by a factor of 44. greater by a factor of 25. the same

Hercules X-1 is a pulsating X-ray source. The X-rays from this source sometimes completely disappear for 6 hours every 1.7 days because the neutron star has a 1.7-day orbital period around its companion star, and it is eclipsed for ____ hours once every orbital period.

Find the average speed of the electrons in a 1.0 cm diameter, copper power line, when it carries a current of 20 A.

An unladen swallow that weighs 0.03 kg flies straight northeast a distance of 125 km in 4.0 hours. With the x x direction due east and the y y direction due north, what is the average momentum of the bird (in unit vector notation)?

A proton and an alpha particle (helium nucleus consisting of two protons and two neutrons) are accelerated from rest across the same potential difference. Assume the proton mass and the neutron mass are roughly the same and neglect any relativistic effect. Compared to the final speed of the proton, the final speed of the alpha particle is?1. less by a factor of 22. less by a factor of √ 23. less by a factor of 44. greater by a factor of 25. the same

664.2 km=____cm

**(664.2 km) **· (1,000 m/km) · (100 cm/m) =

(664.2 · 1,000 · 100) (km·m·cm/km·m) =

**66,420,000 cm**

For metric conversion, you can remember this acronym for help:

**K**ing **H**enry **d**ied** u**nusually **d**rinking **c**hocolate **m**ilk. Which stand for:

Kilo - unit * 1000

Hecto - unit * 100

Deca - unit * 10

Unit - unit * 1

Deci - unit *

Centi - unit *

Milli - unit *

Kilometers and centimeters are five places apart apart, so you move the decimal point in 664.2 to the right five times, which means 664.2 km = **66420000 cm.**

To avoid confusion on which direction to move the decimal point, imagine two shapes on each end of a scale. On each end, there is one large shape and one small shape. There has to be one of each on either side for it to balance. For this problem, a kilometer is a larger unit than a centimeter, so this means that the blank space needs to have a number greater than 664.2, or else the scale won't balance. Hope this helped.

**Answer:**

The linear velocity is represented by the following expression:

**Explanation:**

From Rotation Physics we know that linear velocity of a point moving with uniform circular motion is:

**(Eq. 1)**

Where:

- Radius of rotation of the particle, measured in meters.

- Angular velocity, measured in radians per second.

- Linear velocity of the point, measured in meters per second.

But we know that angular velocity is also equal to:

**(Eq. 2)**

Where:

- Angular displacement, measured in radians.

- Time, measured in seconds.

By applying **(Eq. 2)** in **(Eq. 1)** we get that:

**(Eq. 3)**

From Geometry we must remember that circular arc (), measured in meters, is represented by:

The linear velocity is represented by the following expression:

**Answer:**

63.57 kg

**Explanation:**

weight = 140 lbs

Let the mass is m.

1 lbs = 4.45 N

The weight of an object is defined as the force with which our earth attracts the body towards its centre.

Weight is the product of mass of the body and the acceleration due to gravity of that planet.

W = m x g

On earth surface g = 9.8 m/s^2

Now convert lbs in newton

So, 140 lbs = 140 x 4.45 = 623 N

So, m x 9.8 = 623

m = 63.57 kg

Thus, the mass is 63.57 kg.

Answer:

17.54N in -x direction.

Explanation:

Amplitude (A) = 3.54m

Force constant (k) = 5N/m

Mass (m) = 2.13kg

Angular frequency ω = √(k/m)

ω = √(5/2.13)

ω = 1.53 rad/s

The force acting on the object F(t) = ?

F(t) = -mAω²cos(ωt)

F(t) = -2.13 * 3.54 * (1.53)² * cos (1.53 * 3.50)

F(t) = -17.65 * cos (5.355)

F(t) = -17.57N

The force is 17.57 in -x direction

The **spacing **between the** two slits** is 0.221mm.

The **spacing** between the two slits is given as,

Where is **wavelength**, y is **fringe spacing **and L is length of screen.

** Given **that,

**Substitute** in above equation.

Hence, the spacing between the two slits is 0.221mm.

Learn more about the** sodium lamp** here:

**Answer:**

the theoretical maximum energy in kWh that can be recovered during this interval is **0.136 kWh**

**Explanation:**

Given that;

weight of vehicle = 4000 lbs

we know that 1 kg = 2.20462

so

m = 4000 / 2.20462 = 1814.37 kg

Initial velocity = 60 mph = 26.8224 m/s

Final velocity = 30 mph = 13.4112 m/s

now we determine change in kinetic energy

Δk = m( ² - ² )

we substitute

Δk = ×1814.37( (26.8224)² - (13.4112)² )

Δk = × 1814.37 × 539.5808

Δk = 489500 Joules

we know that; 1 kilowatt hour = 3.6 × 10⁶ Joule

so

Δk = 489500 / 3.6 × 10⁶

Δk = 0.13597 ≈ **0.136 kWh**

Therefore, the theoretical maximum energy in kWh that can be recovered during this interval is **0.136 kWh**