which city or cites have 24 hours of daylight during the sunlight

The magnitude and direction of the acceleration of the air balloon, with a mass of 3100 kg and a force of 30000 N acting on it is  9.68 m/s² upward.

Acceleration can be defined as the rate of change of velocity.

To calculate the magnitude and direction of the acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the magnitude and the acceleration of the air balloon is  9.68 m/s²  upward.

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Distance travelled by insects A and B is respectively 50√26 unit and 300 unit.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Uniform velocity of insect A: [tex]\bold{v_A}[/tex] =  i+4j+3k unit.

Uniform velocity of insect B: [tex]\bold{v_B}[/tex] =  4i+2j-4k unit.

Now dot product of two velocity vector is:

[tex]\bold{v_A}[/tex]·[tex]\bold{v_B}[/tex] = 50 (i+4j+3k)·50( 4i+2j-4k).

= 2500(4 + 4×2 + 3×(-4))

= 0.

Hence, the velocity vectors of two insects are perpendicular to each other. So, the insect fly at right angles to each other.

After time t = 50 unit, Position of insect A: [tex]\bold{X_A}[/tex] = time* velocity

= 50 (i+4j+3k) unit.

After time t = 50 unit, Position of insect B: [tex]\bold{X_B}[/tex] = time* velocity

= 50( 4i+2j-4k).

So, After time t = 50 unit, insect A travels a distance = 50 ×√(1²+4²+3²) = 50√26 unit.

After time t = 50 unit, insect B travels a distance = 50 ×√(4²+2²+(-4)²) = 300 unit.

Hence, distance travelled by insects A and B is respectively 50√26 unit and 300 unit.

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The dog’s linear speed will be 1.88 m/s

The angular speed of the merry-go- round will be  0.85  rad/sec

centripetal acceleration = [tex]v^{2} / r[/tex]

given

r = 2.2 m

linear speed = ?

centripetal acceleration  = 1.6 [tex]m/s^{2}[/tex]

centripetal acceleration C(a) = [tex]v^{2} / r[/tex]

             linear speed = [tex]\sqrt{C(a) * r}[/tex]

                                   = [tex]\sqrt{1.6 * 2.2 }[/tex] = [tex]\sqrt{3.52}[/tex]  = 1.88 m/s

The dog’s linear speed will be 1.88 m/s

angular speed = linear speed / radius

                        = 1.88 / 2.2 = 0.85  rad/sec

The angular speed of the merry-go- round will be  0.85  rad/sec

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The time the athlete takes to reach the maximum speed will be 0.93 seconds

acceleration = change in speed / time

initial speed = 0

final speed = 30 km / h = 8.33 m/s

acceleration = 9 [tex]m/s^{2}[/tex]

acceleration = change in speed / time

time =  change in speed  / acceleration  = 8.33 / 9 = 0.93 seconds

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The correct answer is there is a stretch in the string 0.010m.

The string is and it is long.

The string's radius is

The string's tension is

the Young's modulus

Stretching out of the string

Young's modulus can be found in.

The string is longer than usual.

Consequently, the string gets shortened.

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Social dynamics behind lower -class drug use is homelessness, criminal behaviors, association with gangs and unemployment whereas social dynamics behind middle -class drug use is peer relationships, extramarital relations and distortion of interpersonal family relationships.

Social factors that increase the risk for adolescent drug use can include popularity, bullying, peer relationships, and association with gangs.

Other possible factors can be social and familial influences. This can result in financial hardships due to job loss. It may also lead to certain behavior that can put family at risk and can also cause domestic violence within relationships.

Other social problems linked with SUDs can be housing instability, homelessness and unemployment.

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Impact ice is formed either from water present in the atmosphere as snow, sleet, or from exposure of liquid water to a temperature below 32°F.

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Answer:

Explanation:

L₁ =80 dB

S₁ = 2 m

S₂ = 40 m

__________

L₂ - ?

The intensity of the site is nearby:

ΔL = 10·lg(S₂/S₁)²

ΔL = 10·lg(40/2)² = 10·2·lg(20) = 20·1.3 = 26 dB

L₂ = L₁ - ΔL = 80 - 26 = 54 dB

Answer:

OB

Explanation:

Antimony is a chemical element with as symbol Sb and atomic number 51

The final velocity of the tennis ball after the collision is 20 m/s in opposite direction.

The final velocity of the tennis ball is determined by applying the principle of conservation of linear momentum as shown below.

Mathematically, the formula is given as;

m₁u₁ + m₂u₂ = m₁v₁  + m₂v₂

where;

(10 x 8) + (-20)(1) = 10(4) + (1)v₂

80 - 20 = 40 + v₂

80 - 20 - 40 = v₂

20 m/s = v₂

Thus, the final velocity of the tennis ball is in opposite direction.

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Answer:

a)  -9  [tex]m/s^2[/tex]

b)  112.5 meters

Explanation:

Here is a formula for acceleration.

[tex]a=\frac{V_{f} -V_{o} }{t}[/tex]

We are given

[tex]V_o=45[/tex] m/s

[tex]V_f=0[/tex] m/s

[tex]t=5[/tex] s

Lets solve for [tex]a[/tex].

[tex]a=\frac{0-45}{5}[/tex]

[tex]a=\frac{-45}{5}[/tex]

[tex]a=-9[/tex] [tex]m/s^2[/tex]

Here is a formula for displacment.

[tex]x=V_o t+\frac{at^2}{2}[/tex]

[tex]V_o=45[/tex] m/s

[tex]t=5[/tex] s

[tex]a=-9[/tex] [tex]m/s^2[/tex]

Lets solve for [tex]x[/tex].

[tex]x=45*5+\frac{-9*5^2}{2}[/tex]

[tex]x=225+\frac{-9*25}{2}[/tex]

[tex]x=225+\frac{-225}{2}[/tex]

[tex]x=225+-112.5[/tex]

[tex]x=225-112.5[/tex]

[tex]x=112.5[/tex]

Answer:

Speed of light in glass V = 2·10⁸ m/s

Explanation:

Given:

c = 3·10⁸ m/s - The speed of light in vacuum

n = 1.5 - Refractive index of glass

__________

V - ?

Speed of light in glass:

V = c / n

V = 3·10⁸ / 1.5 = 2·10⁸ m/s

Answer:

Explanation:

Given:

n = 8

t = 4 s

______

f - ?

T - ?

Frequency:

f = n /t = 8 / 4 = 2 Hz

Period:

T = 1 / f = 1 / 2 = 0.5 s

Using information from the NASA Institute for Space Studies The best representation of observed temperature increases in climate models is when orbital movements are taken into account.

What is climate model?

Hence solar variations, human-made aerosols, growth in greenhouse gas emissions, growth in greenhouse gas emissions is a correct answer.

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Answer:

here, if you have an iron which has 28 protons and 26 electrons, and we have to find the charge on the iron, the element and the symbol of the iron. So For 28 protons charge is 28 e. And for 26 electrons, charge will be -26 E. So total charges 28 E minus 26 E. Equal to two E. On I N S, plus two. No, we have to find the element. So atomic number is equal to Number of protons, which is 28, and this is atomic number four nickels. So the element is nickel and we have to find the symbol of iron. So the iron has to positive child. So the symbol will be and I took place So this completes the solution. Thank you.

Explanation:

Answer:

Given, DE is parallel to BC. From the figure, in ADE and ABC ∠ A = ∠ A (Common angle) Since, DE is parallel to BC therefore the below angles will be equal because they are corresponding angles. ⇒ ∠ D = ∠ B (Corresponding angles) and (Corresponding angles) Therefore, by AAA congruence criteria, the triangles ADE and ABC

Explanation:

Answer:

Impulse is the amount of force put on an object in a certain amount of time. Therefore when kicking a ball and "kicking through it" it extends the period of time this force is applied in turn increasing its impulse. Impulse is equal to change in momentum. momentum is equal to mass times velocity and since mass of the ball doesn't change therefore the velocity is increased and performance increased.

The temperature of waste heat exhausted is  483.83 °C.

A Carnot heat engine is a heat engine that operates at the Carnot cycle. The simple version of this engine turned into evolved by Nicolas Léonard Sadi Carnot in 1824.

The Carnot engine is a theoretical thermodynamic cycle proposed by means of Leonard Carnot. It estimates the maximum possible efficiency that a heat engine all through the conversion manner of heat into work and, conversely, operating between reservoirs can possess.

calculation:-

1 kcal = 4.186 k J.

So the engine efficiency eta = 510/930 × 4.186 = 0.13305

T hot = 600 + 273.15 = 873.15 K

From the Carnot equation = (T hot-T cold) /T Hot,

so

T cold = T hot(1-eta)

= 873.15 × (1-0.13305) =756.98 K

= 756.98  K = 483.83 °C

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The momentum of an 8 kg bowling ball rolling at 2 m/s straight to the pins is  16 kg m/s.

As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. It is given by the formula:

p = mv

p = 8 × 2

p = 16 kg m/s

Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

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a. The force should be applied 5 m from the fulcrum

b. The issue is that deformation of the rod will occur.

In order to avoid this deformation, with the help of friends, the distance from the can be reduced and more force applied.

The principle of moments states that for a system in equilibrium, the sum of the clockwise moments about a point of rotation is equal to the sum of the anticlockwise moments about that point.

Mathematically;

The moment of a force is the product of the force and the perpendicular distance from its point of action.

From the data provided:

Let the woolly mammoth move in a clockwise direction and the applied force in an anticlockwise direction.

Let d be the perpendicular distance of the applied force from the fulcrum

5000 * 2 m = 2000 * d

d = 5 m

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Answer:

candle and hand torch

Explanation:

we can find a light energy and heat energy from the candle but only light energy for hand torch

Answer:

Approximately [tex](-6)\; {\rm J}[/tex], assuming that [tex]g = 9.81\; {\rm m \cdot s^{-2}}[/tex].

Explanation:

Let [tex]m[/tex] denote the mass of this box.

Decompose the weight [tex]m\, g[/tex] of the box into two components: perpendicular to the slope [tex](-m\, g)\, \cos(15^{\circ})[/tex] and parallel to the slope [tex](-m\, g)\, \sin(15^{\circ})[/tex]. The perpendicular component is balanced with the normal force of the slope on the box. In contrast, since there is no friction between the box and the slope, the parallel component isn't balanced and will be equal to the net force on the box:

[tex]F_{\text{net}} = (-m\, g) \sin(15^{\circ}})[/tex].

Note that [tex]F_{\text{net}}[/tex] is constant during this [tex]t = 1\; {\rm s}[/tex].

The acceleration [tex]a[/tex] of this box will be:

[tex]\begin{aligned}a &= \frac{F_{\text{net}}}{m}\\ &= \frac{(-m\, g) \sin(15^{\circ})}{m} \\ &= (-g)\, \sin(15^{\circ})\end{aligned}[/tex].

Let [tex]u[/tex] denote the initial velocity of this box. Since after the [tex]t = 1\; {\rm s}[/tex] of acceleration at [tex]a = (-g)\, \sin(15^{\circ}})[/tex] the velocity of the box is [tex]v = 0\; {\rm m\cdot s^{-1}}[/tex], the initial velocity of this box will be:

[tex]\begin{aligned} u &= v - a\, t \\ &= 0 - (-g)\, \sin(15^{\circ})\, t \\ &= g\, t\, \sin(15^{\circ}})\end{aligned}[/tex].

Initial kinetic energy of this box would be:

[tex]\begin{aligned} (\text{KE}) &= \frac{1}{2}\, m\, u^{2} \\ &= \frac{1}{2}\, m\, (g\, t\, \sin(15)^{\circ}})^{2}\end{aligned}[/tex].

The kinetic energy of this box is [tex]0[/tex] when the box is at rest. The change in kinetic energy was [tex](1/2)\, m\, (g\, t\, \sin(16^{\circ}))^{2}[/tex]. That energy change should be the opposite of the work the external force weight did on this box.

Substitute in [tex]m = 2\; {\rm kg}[/tex], [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex], [tex]t = 1\; {\rm m\cdot s^{-1}}[/tex] to find the change in kinetic energy and hence the work that the net force did on the box:

[tex]\begin{aligned} (\text{Work Done}) &= -(\text{Kinetic energy change}) \\ &= -\frac{1}{2}\, m\, (g\, t\, \sin(15)^{\circ}})^{2} \\ &= -\frac{1}{2}\times 2\; {\rm kg} \times (9.81\; {\rm m\cdot s^{-2}} \times 1\; {\rm s} \times \sin(15^{\circ})^{\circ} \\ &\approx (-6)\; {\rm J}\end{aligned}[/tex].

Answer:

wavelength.

Explanation:

Explanation: Frequency = speed of light/wavelength. The frequency of an electromagnetic wave increases as wavelength decreases

40,000 kg m/s will be the momentum if the truck at a truck mass of 4500kg and velocity of 10 m/s.

Given mass of a truck = 4000 kg

truck mass = 4 grams

velocity = 10 m/s

The formula of momentum will be:

p = mv

where, p = momentum

           m = truck mass

           v = velocity

substituting the values, we get:

momentum = 4000 × 10

momentum = 40000 kg m/s

Thus the momentum of the truck is 40,000 kg m/s

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Answer:

below

Explanation:

Net accelerating force becomes  12-8 = 4 N

F = ma

4 = 2 * a

a = 2 m/s^2

The object encounters 8.0 N of friction. The object's acceleration is 2 m/s².

Acceleration is the rate at which the speed and direction of a moving object change over time. A point or object moving straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, the motion on a circle accelerates because the direction is constantly shifting.

The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains."

Net accelerating force becomes  12 - 8 = 4 N

The formula for force is

Force = mass x acceleration

F = ma

4 = 2 x a

a = 2 m/s²

Therefore, the object's acceleration is 2 m/s².

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Sample should be 256 , which the experimenter can take from the population . If the standard deviation and the width of the confidence interval are both doubled , the size will be same .

What is resistance ?

Resistance is the resistance that a substance offers to the flow of electric current. Represented by a capital R. The standard unit of resistance is the ohm, sometimes written as a word or represented by the Greek letter omega. If a current of 1 ampere flows through a component with a potential difference (voltage) of 1 volt, the resistance of that component is 1 ohm. The electrical resistance per unit length, area, or volume of matter is known as resistance. Resistance values ​​are often given in ohms per kilometer of copper and aluminum wire.

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Explanation:

Free Solutions to GR BATHLA & SONS BIOLOGY (HINGLISH) Class 12 book Chapters, Questions, Answers and Solutions 2022

Yes, if two bodies have the same momentum, the velocities of the two objects needs to be equal to be moving in the same direction.

Momentum is the product of mass and velocity of a body in motion. It is a vector quantity.

Two bodies of equal momentum can only move in the same direction if their velocities are equal. This is because both the velocity and the momentum are vector quantities. Momentum is the product of mass, which is a scalar quantity and the velocity, which is a vector.

In conclusion, for two objects to have the same momentum and for their directions to be the same, they need to have the same velocity.

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Yes,  two bodies of equal momentum must be moving in the same direction.

We know that momentum is the product of the mass and the velocity of the object, In fact, momentum is a vector quantity and it should be clearly stated here that the direction of the momentum vector have to be the direction of the velocity vector.

With this said, when we say that two object have the same momentum we are essentially saying that the velocity vector of the two bodies have to pointing in the same direction. Once the direction is not the same, the momentum of the objects can not ever be the same!

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If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.

Kepler's laws of planetary motion :

According to this law, the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods.

radius of the venus = 0.7AU

radius of the earth = 1 AU

orbital period of the earth = 365 days

According to the Kepler's 3rd law of planetary motion :

T² ∝ R³

T² = k R³

k = T²/ R³

[tex]k = \frac{T^2_v}{R^3_v} = \frac{T^2_e}{R^3_e}[/tex]

T² /(0.7)³ = (365)² /(1)³

T = [tex](0.7/1)^{\frac{3}{2}}[/tex] X 365

T = 208.49 days

If the average distance from Venus to the Sun is given to be 0.7AU, its time period is 208.49 days.

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