A small plane starts from rest and accelerates uniformly to the east to a takeoff velocity of 70 m/s in 5 seconds. What is the plane’s acceleration?

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[tex]We \: know \: that, \: c = λv \\ thus \: \: λ = \frac{c}{v} = \frac{3 \times {10}^{8} \: m {s}^{ - 1} }{94.7 \times {10}^{6} } \\ = 3.16789863≈3.17 \: m[/tex]

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Answer:

Yes

Explanation:

[tex]Consider\ three\ variables\ a,b\ and\ c.\\If,\\ab=ac\\a*b=a*c\\We\ may\ now\ divide\ the\ LHS\ and\ RHS\ by\ a,\\Hence,\\\frac{a*b}{a} =\frac{a*c}{a}\\Hence,\\b=c[/tex]

[tex]Ex: \\Consider\ a=5, b=6.\\Hence\ if,\\a*b=a*c\\5*6=5*c\\Hence,\\30=5c\\Hence, c=\frac{30}{5}\\c=6\\As\ b\ also\ equals\ to\ 6,\\b=c[/tex]

Violet has the shortest wavelength and the lowest frequency.

When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.

Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.

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Answer:

The value is [tex]\eta _2 = 0.57[/tex]

Explanation:

From the question we are told that

    The temperature of the heat source is [tex]T_s = 1000 \ K[/tex]

    The amount of power transferred is  [tex]P_s = 1000 \ kW = 1000 *10^{3} \ W[/tex]

      The work produced is  [tex]W = 400 \ kW[/tex]

       The temperature of the environment [tex]T_e = 300 \ K[/tex]

Gnerally the Carnot efficiency of the system is mathematically represented as

        [tex]\eta_c = 1 -\frac{T_e}{T_s}[/tex]

=>    [tex]\eta_c = 1 -\frac{300}{1000}[/tex]

=>      [tex]\eta_c = 0.7[/tex]

Generally the first  law efficiency of the system is mathematically represented as

            [tex]\eta _1 = \frac{W}{P_s}[/tex]

=>         [tex]\eta _1 = \frac{400}{1000}[/tex]  

=>         [tex]\eta _1 = 0.40[/tex]

Generally the second  law efficiency of the system is mathematically represented as

                [tex]\eta _2 = \frac{\eta_1}{\eta_c}[/tex]

=>               [tex]\eta _2 = \frac{0.4}{0.7}[/tex]

=>               [tex]\eta _2 = 0.57[/tex]

Answer:

E = 5.65 x 10¹⁰ N/C

Explanation:

First we need to find the total charge on the sphere. So, we use the following formula for that purpose:

[tex]q = \sigma V\\[/tex]

where,

q = total charge on sphere

V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]

σ = volume charge density = 1.5 C/m³

Therefore,

[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]

Now, we use the following formula to find the electric field due to this charged sphere:

[tex]E = \frac{kq}{r^2}[/tex]

where.

E  = Electric Field Magnitude = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

r = radius of sphere = 8 cm = 0.08 m

Therefore,

[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]

E = 5.65 x 10¹⁰ N/C

Answer:

The change in momentum is 28265.71  kg-m/s.

Explanation:

Given that,

Mass of a car, m = 877 kg

Initial velocity of the car, u = 0 (at rest)

Final velocity of the car, v = 116 km/h = 32.23 m/s

Time, t = 0.951 s

We need to find the change in momentum produced by the force. It can be calculated as the difference of final momentum and the initial momentum.

[tex]\Delta P=m(v-u)\\\\=877\times (32.23-0)\\\\=28265.71\ kg-m/s[/tex]

So, the change in momentum is 28265.71  kg-m/s.

Answer:

D mass of the iron rod

Explanation:

A) the length of the iron rod.

B) the thermal conductivity of iron.

C) the temperature difference between the ends of the rod.

D) the mass of the iron rod.

E) the duration of the time interval

The amount of heat that will flow through an iron rod whose two ends are maintained at different temperatures would depend on the thermal conductivity of the iron, the temperature difference between the two ends, the length of the iron rod, and the duration of flow of heat.

The thermal conductivity of any material is an indication of the ability of the materials to conduct heat. The higher the thermal conductivity, the higher the amount of heat a material can conduct within a specified period. Hence, the amount of heat that will flow through the iron rod depends on its thermal conductivity.

The temperature difference between two solid materials depends on the amount of heat that will flow across the materials by conduction. The higher the difference, the more the amount of heat that will flow. Hence, the amount of heat that would be conducted depends on the temperature difference between the two ends of the iron rod

The amount of heat that would move my conduction also depends on the distance that would be traveled by the heat. Due to heat loss to the surrounding, the shorter the distance, the more the heat and vice versa. Hence, the amount of heat that will flow through an iron rod depends on the length of the iron rod.

The duration of flow also dictates the amount of heat that will flow between two regions by conduction. The more the duration, the more the heat, provided that other conditions remain constant.

The only option that the amount of heat that would be conducted does not depend on is the mass of the iron rod.

The correct option is D.

Answer:

it is all because of nature

Answer:

I do not know the answer because not all of the information is there.

Explanation:

Answer:

Beep Beep

Explanation:

The interval of acceleration of the bus will be 2.19 seconds.

An object is considered to have been accelerated if its velocity changes. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change.

Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. These examples demonstrate how acceleration occurs whenever a moving object modifies its direction, speed, or both.

Acceleration is a vector quantity.

SI unit of acceleration is m/s.

According to the question, the given values are :

Acceleration, a=-4.1 m/s²

Initial velocity, u=9.0 m/s and,

Final velocity, v=0 m/s

By using Equation of motion, i.e.,

v=u+at

⇒0 m/s=9m/s+(-4.1 m/s²)(t)

⇒-9 m/s=-4.1 m/s²×t

t=(-9 m/s)/(-4.1 m/s²)

t= 2.19 seconds.

Hence, the time interval of acceleration of the bus will be 2.19 seconds.

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Answer:

200 Newton

Explanation:

Weight is the force with which earth pulls the object.

W = M× g

where m is mass and g is acceleration due to gravity whose value is approximately 10 Newton

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Answer:

V = 5.55 volts

Explanation:

Given that,

Current, I = 3.7 A

Resistance, R = 1.5 ohms

We need to find the voltage of the circuit. Let V is the voltage. We can find it using Ohm's law as follows :

V = IR

Substituting all the values, we get :

[tex]V=3.7\times 1.5\\\\=5.55\ V[/tex]

So, the voltage of the circuit is 5.55 V,

Answer:

Its graph 1

Explanation:

She started at the origin and kept riding her bike until she stopped which causes the line to go staright because she's not moving.

Answer:

m = mass [kg]

Explanation:

This equation is characteristic of the amount of motion and momentum.

[tex]F*t = m*(v_{f}-v_{i})[/tex]

where:

F = force [N] (units of Newtons)

t = time = [s]

m = mass [kg]

Vf = final velocity [m/s]

Vi = initial velocity [m/s]

Now using the units and placing them in the equation above.

[tex][N]*[s] = [kg]*(m/s-m/s)\\[/tex]

[tex][N]=[kg*m/s^{2} ][/tex]

Now replacing:

[tex][kg*m/s^{2}]*[s]=[kg*m/s][/tex]

The s² is cancelled with the s, therefore.

[tex][kg*m/s]=[kg*m/s][/tex]

Answer: All UV can have harmful effects on biological matter (such as causing cancers) with the highest energies causing the most damage.

Explanation:

Answer:

km = 3.24

m = 3,240

dm = 32,400

Explanation:

km = 1000m

m = 10dm

Explanation:

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Answer: because of friction it will stop rolling completly

Explanation:

Answer:

D option

Explanation:

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Answer:

D. 0.5 km/s2

Explanation:

Answer:

A

Explanation:

18-28=10

10+10=20

20N to the right

Answer: the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm

Explanation:

Given that;

mass m = 746 g

diameter d = 10.4 cm

radius r = 5.2 cm

density of aluminum = 2.7 g/cm³

we know that

density × volume = mass

P × 4/3π( r₀³ - ri³) = m

so we substitute

2.7 × 4/3π( 5.2³ - ri³) = 746

11.3097( 5.2³ - ri³) = 746

( 5.2³ - ri³) = 746/11.3097

140.608 - ri³ = 65.961

ri³ = 140.608 - 65.961

ri³ = 74.647

ri = ∛74.647

ri =  4.21 cm

the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm

The inner diameter of the aluminum sphere is 8.42 cm.

The given parameters;

The volume of the aluminum sphere is calculated as follows;

[tex]volume = \frac{mass}{density} \\\\volume = \frac{746}{2.7} \\\\volume = 276.3 \ cm^3[/tex]

The volume of the sphere from the given outer and inner diameter is calculated as;

[tex]V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \times \frac{d^3}{8} \\\\V = \frac{1}{6} \pi d^3\\\\V = \frac{1}{6} \pi (d_o^3 - d_i^3)\\\\d_o^3 - d_i^3 = \frac{6V}{\pi} \\\\d_i^3 = d_0^3 - \frac{6V}{\pi} \\\\d_i^3 = (10.4)^3 - \frac{6(276.3)}{\pi} \\\\d_i^3 = 597.23\\\\d_i = \sqrt[3]{597.23} \\\\d_i = 8.42 \ cm[/tex]

Thus, the inner diameter of the aluminum sphere is 8.42 cm.

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Answer:

Acceleration.

Explanation:

Seems like u don't have time for a explanation. :

Answer:

A. Displacement

Answer:

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Answer:

4.16m/s²

Explanation:

According to Newtons second law;

[tex]\sum Fx = ma_x\\Fm - Ff = ma_x\\W sin\theta - \mu R cos \theta = ma_x\\mg sin\theta - \mu mg cos\theta = ma_x\\[/tex]

Fm is the moving force

[tex]\mu[/tex] is  the coefficient of kinetic friction between the child and the slide

m is the mass

g is the acceleration due to gravity

a is the acceleration of the child

Substitute the given values and get the acceleration as shown;

35(9.8)sin27.5 - 0.415(35)(cos27.5) = 35a

158.38-12.88 = 35a

145.49 = 35a

a = 145.49/35

a = 4.16m/s²

Hence the acceleration of the body is  4.16m/s²

Answer:

Weight:

P =m·g₁ = 20·9.55 = 191 H

Explanation:

Given:

R = 6 370 км = 6 370·10³ m

m = 20 kg

h = 160 km = 160·10³ m

g = 9.8 m/s²

____________________

P - ?

Acceleration of free fall at the Earth's surface:

g = G*M / R²    (1)

Acceleration of free fall at height h:

g₁ = G*M / (R + h) ²    (2)

Divide (1) by (2):

g / g₁ = ((R + h) / R)²

g / g₁ = ( 1 + h / R)² = ( 1 + 160 / 6 370)² ≈ 1.026

g₁ = g / 1.026 = 9.8 / 1.026 ≈ 9.55 m/s²

Weight:

P =m·g₁ = 20·9.55 = 191 H

Answer:

10s

Explanation:

The time to get to the maximum would be the same as the time to get down to the maximum unless somehow gravity’s changes during the duration it goes up to and from maximum height.

Answer:

76.2 billion

Explanation:

73.0 + 3.20 billion = 76.2 billion

Answer:

Explanation: 1.2 mm

Time= 140 sec

Initial Velocity= 0

Average Velocity= 2.4 mm/s

Displacement=  0.5* (2.4/140) *140 = 1.2 mm

Answer:

The following components shall be used in given order:

1. Step Down Transformer     2. Diode as Rectifier     3. Capacitor

Explanation:

The following components shall be used in given order:

1. Step Down Transformer     2. Diode as Rectifier     3. Capacitor

1.STEP DOWN TRANSFORMER:

The step down transformer is first used to convert the 120 V AC signal into 12 V AC signal. Because the output required is of 12 V.

2.DIODE AS RECTIFIER:

Now, the PN Junction diode is used as a rectifier to convert the 12 V AC signal to 12 V  DC signal.

3.CAPACITOR:

Now, the output is in waveforms. So, in order to linearize it in the form of DC current, we use capacitor. The main function of capacitor is to smoothen the signal into a straight line.