why is m² called derived unit?​

The distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.

Given that data in the question;

Note that;

1 miles = 1.609 kilometers

Now, the distance in kilometers will be;

distance = 25 miles

distance = ( 25 × 1.609 )kilometers

distance = 40.23km

Therefore, the distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.

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Answer:

C

Explanation:

Cool and dense air falls through more warm and less dense air during convection. The cooler, which is much heavier than warm air, is displacing the warmer, which has less mass. Convection always involves rising air in the atmosphere.

Answer:

C

Explanation:

Imagine a kettle. When you open it, all the hot water vapour will rise up, attempting to burst out. However, when it comes in contact with the cold air, it also becomes cold, causing it to sink back down and giving us the visual effect of steam.

The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

The following are the x and y axes for the supplied vector:

Vector V in x direction;

[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]

Vector V in y direction;

[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]

Vector W in x direction;

[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]

Vector W in y direction;

[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]

The resultant vector in the x direction is;

∑X = -322.26 + 81.86

∑X == -240.4

The resultant vector in the y direction is;

∑Y = -311.2 + 325.88

∑Y  = 14.68

The resultant vector is found as;

[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]

Hence,  the direction of their vector sum is 240.84 toward +x-axis.

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Answer:

[tex]\huge\boxed{\sf T = 0.67\ seconds}[/tex]

Explanation:

Given Data:

Cycles = c = 3 cycles

Time = t = 2 seconds

Required:

Time period = T = ?

Formula:

1) f = c/t

2) T = 1/f

Solution:

Finding frequency first:

f = c / t

f = 3/2

f = 1.5 Hz

Now, finding period:

T = 1/f

T = 1 / 1.5

T = 0.67 seconds

[tex]\rule[225]{225}{2}[/tex]

Let's see

We need distance between them?

[tex]\\ \rm\Rrightarrow F=\dfrac{GMm}{r^2}[/tex]

[tex]\\ \rm\Rrightarrow r^2=\dfrac{GMm}{F}[/tex]

[tex]\\ \rm\Rrightarrow r^2=\dfrac{6.673\times 10^{-11}\times 8.1\times 10^2\times 4.5\times 10^8kg}{1.9\times 10^{-3}}[/tex]

[tex]\\ \rm\Rrightarrow r^2=128.02\times 10^{2}[/tex]

[tex]\\ \rm\Rrightarrow r^2=12802[/tex]

[tex]\\ \rm\Rrightarrow r=\sqrt{12802}[/tex]

[tex]\\ \rm\Rrightarrow r=113.14m[/tex]

Answer:

One pascal is equivalent to 1 newton (N) of force applied over an area of 1 square meter (m2). The pascal is also used to measure stress, specifically tectonic stress in the Earth's plates.

Explanation:

Answer:

Animals follow the seasons very closely. Changes in the length of the day or temperature affect the animals' hormone production and cause them to behave according to the season. For that reason, animals instinctively know when it's time for them to mate, build a nest, fly south or stock up on food for the winter.

Answer:

0.5 m

Explanation:

To find wavelength (λ) : apply the formula

Solving :

Answer:

Answer is C

Explanation:

Let's say the pendulum starts swinging from its max height from the left. It then will go down and reach the equilibrium position, this will make it lose GPE while gaining KE (the loss in GPE = gain in KE). At the equilibrium position it has the max KE (max velocity) and minimum GPE. After passing the equilibrium it then starts to head up to the max height on the right, the pendulum gains GPE while losing KE and at the top will have minimum KE while having max GPE. Meaning throughout its joruney the total energy remains constant as
Total energy = KE + GPE

I have attached a simple diagram below, the y axis is the energy and x axis being the time (where t = 0 is the pendulum starting from max height left of the equilibrium). The green curve the the GPE and blue curve is KE. Red line shows that at all times the energy is constant.

The image of this object is located at -60 cm. The formula for the mirror equation is used in the given problem.

A mirror equation is an equation that relates object distance and image distance to focal length.

The given data in the problem is;

Image distance (u) = 15 cm

Object distance (v) = ?

f is the mirror's focal length=20 cm

The mirror equation is given as;

[tex]\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\ \rm \frac{1}{v} =\frac{1}{20} -\frac{1}{15} \\\\ \frac{1}{v} = 0.01666 \\\\\ v=-60 \ cm[/tex]

Hence, the image of this object is located at -60 cm.

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Answer:

0.315C

Explanation:

Force/Electric field

7520N/23900C

Answer:

option 1

Explanation:

The angle will the first diffraction minimum be found will be 0.034895°.

A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.

The equation of diffraction grating is given as

[tex]\rm d= \frac{m \lambda}{sin \theta }[/tex]

The angle between the incident ray and the point of the occurrence of the diffraction is found as;

[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \lambda= (2.0))(\frac{1.00 \times 10^{-12}}{1\ pm} )\\\\\ \lambda=2.00 \times 10^{-12}[/tex]

The angle will the first diffraction minimum be found is;

[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \theta = sin^{-1}(\frac{1 \times 2.000 \times 10^{-12}}{1\times 10^{-12}} )\\\\\ \theta= 0.0348995^0[/tex]

Hence,the angle will the first diffraction minimum be found will be 0.034895°.

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[tex]speed_{avg} = \frac{Σ\:distance}{ total\: time}[/tex]

So, according to the question:

distance = 90 miles

time = 1h 45min + 15 min + 1h = 3h

[tex]Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}[/tex]

Answer:

10.75 m/s

Explanation:

let  velocity of Dodgems b  be y

law of conservation of momentum

120 x 10 + 160 x 7=120x5+ 160 x y

1200+1120 = 600 + 160 x y

160y = 1720

y = 10.75 m/s

Answer:

3 m/s

Explanation:

Average velocity = Initial velocity + Final velocity / 2

Solving :

⇒ Average velocity = 2 + 4 / 2

⇒ Average velocity = 6/2

⇒ Average velocity = 3 m/s

if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity

So the average velocity is 3ms.

Explanation:

The pinna collects the sound waves and conducts them to the auditory canal. Sound waves struck at the ear drum and set it into vibration. Eustachian tube equalizes the pressure on either side of the ear drum and thus allows it to vibrate freely. Ear drum transmits the vibrations to ear ossicles.

Answer:

A

Explanation:

Applying the First Equation of Motion :

⇒ v = u + at

⇒ v = 30 + (-6)(4)

⇒ v = 30 - 24

⇒ v = 6 m/s

In a science lab, there is the adequate availability of raw materials for experiments such as chemicals while outside a science lab there isn't.

In a science lab, the availability of apparatuses and sources of heat is higher than outside a science lab.

The science lab is a place where the experiments related to the science background are performed with the use of apparatus.

The science lab has plenty of equipment to perform the experiment whether related to physics or chemistry or biology.

Thus, source of heat and availability of raw material and equipment are the differences between the science activities carried out in a science laboratory and those carried out side of science laboratory.

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Answer:

[tex]2 \times 10^{-5}\ m[/tex]

Explanation:

[tex]v = f \lambda[/tex]

velocity of wave = frequency x wavelength

I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).

Every type of EM radiation has the same velocity — the speed of light.

Speed of light, known as [tex]c[/tex] — 300 000 000 = [tex]3 \times 10^8[/tex]

velocity: [tex]c = 3 \times 10^8[/tex] [tex]ms^{-1}[/tex]

frequency: [tex]f = 1.5 \times 10^{13}[/tex] [tex]\text{Hz}[/tex]

wavelength: [tex]\lambda =\ ?[/tex] [tex]m[/tex]

[tex]v = f \lambda\\3 \times 10^8 = 1.5 \times^{13}\ \times \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = \frac{3 \times 10^8}{1.5 \times 10^{13}} = 2 \times 10^{-5}[/tex] [tex]m[/tex]

Answer:

Thermal energy transfers occur in three ways: through conduction, convection, and radiation. When thermal energy is transferred between neighboring molecules that are in contact with one another, this is called conduction.

Explanation:

We will take it Cm

Scale factor

So

#Mercury

Ven us

Earth

Mars

Jupiter

Saturn

#Uranus

Neptune

The upward force F exerted by the biceps on the forearm will be 583 N.

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

The torque balancing equation is found as;

[tex]\rm \tau_i=\tau_R+\tau_F+\tau_{BB}=0\\\\ R(0)+F(0.0300)-(50.0)(0.350)\\\\ F=583 \ N[/tex]

Hence,the upward force F exerted by the biceps on the forearm will be 583 N.

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Answer:

the units of work and energy is joule and unit of power is Watt

This question involves the concept of Newton's Law of Gravitation.

The force of attraction will be changed to "D. 20 Newtons".

According to Newton's Law of Gravitation, the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,

[tex]F=\frac{Gm_1m_2}{r^2}[/tex]

where,

Now, reducing the distance by half, we get:

[tex]F'=\frac{Gm_1m_2}{(\frac{r}{2})^2}\\\\F'=4\frac{Gm_1m_2}{r^2}\\\\F'=4F\\F'=4(5\ N)[/tex]

F' = 20 N

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Answer:

See image

Explanation:

Plato

Answer:

A

Explanation:

d = 1/2 a t^2 = 1/2 (4)(28^2) = 1568 m  ~ 1.6 x 10^3