A bumblebee flies with a ground speed of 15.3 m/s . calculate its speed in kilometers per hour (km/h).

Vector v is [tex]0,27\sqrt{2},27\sqrt{2}[/tex] for the given magnitude and the same direction as u, magnitude direction v = 93 u = 0, 4, 4.

Vector, in physics, a quantity that has both the magnitude and direction. It is typically represented by an arrow whose direction is same as that of the quantity and whose length is proportional to the quantity’s magnitude. Although vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, vector is not altered if it is displaced parallel to itself.

In contrast to vectors, the ordinary quantities that have a magnitude but not a direction are called scalars. For example, displacement, velocity, and acceleration are vector quantities, while speed (magnitude of velocity), time, and mass are scalars.

To qualify as a vector, a quantity having the magnitude and direction must also obey certain rules of combination. One of these is the vector addition, written symbolically as A + B = C (vectors are conventionally written as boldface letters). Geometrically, vector sum can be visualized by placing the tail of vector B at the head of vector A and drawing vector C—starting from tail of A and ending at the head of B—so that it completes triangle. If A, B, and C are the vectors, it must be possible to perform the same operation and achieve the same result (C) in reverse order, B + A = C. Quantities such as the displacement and velocity have this property (commutative law), but there are quantities (e.g., finite rotations in the space) that do not and therefore are not vectors.

Given that,

|v|= 27 and u= 0,4,4

Now unit vector

u= [tex]\frac{u}{|v|}[/tex]=[tex]\frac{0,4,4}{|0,4,4|}[/tex]

  =0,4,4/[tex]\sqrt{0^{2}+4^{2}+4^{2} }[/tex] = 0,4,4/ [tex]\sqrt{32}[/tex]

   =0/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex],4/[tex]4\sqrt{2}[/tex]

   =1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex]

now the vector v in same direction as u means,

v= |v|.u= 27*([tex]0,1/\sqrt{2}, 1/\sqrt{2}[/tex])

Thus,

v= [tex](0,27/\sqrt{2},27/\sqrt{2})[/tex]

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The efficiency of the machine is 83.3% when the output is 25 joules.

This can be defined as the ratio of the work output to the work input of a machine, expressed in percentage.

To calculate the efficiency of the machine we use the formula below.

Formula:

• E (%) = (Wo/Wi)100........... {Eq1}

Where:

• E (%) = Efficiency of the machine

• Wo = Work output

• Wi = Work input.

From the question,

Given:

Wo = 25 Joules

Wi = 30 Joules

Substitute these values into equation 1

We have,

• E (%) = (25/30)100

• E (%) = 83.3%

Hence, the efficiency of the machine is 83.3%.

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Answer:

Mendeleev is generally given more credit than Meyer because his table was published first, and because of several key insights that he made regarding the table.

Explanation:

According to the given statement the speed of sirius is =2.3275862×10¹²km/s.

A waveform signal's wavelength, which is the distance between two identical locations (adjacent crests) in the succeeding cycles, determines whether it is sent through space or via a wire. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimetres (mm).

Hydrogen has a spectral line at = 116nm=116×10⁻⁹m

Line is observed at = 107 nm=107×10⁻⁹m

Now, from the Hubble's law

V=[tex](\Delta \lambda / \lambda)[/tex]×C

Where,

v is the velocity

Δλ = Change in wavelength = 116 - 107= 9nm=9×10⁻⁹m

λ = Actual wavelength=116nm=116×10⁻⁹m

C is the speed of the light=3×10⁸m/s

on substituting the respective values, we get

V=(9/116)×3×10⁸=23275862.069×10⁵m/s

V=2.3275862×10¹²km/s.

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The angular wave number and (b) the speed of the wave is 522.66 m/s.

Precise wavenumber is an amount in hypothetical material science that is characterized as the quantity of radians per unit distance. Precise recurrence is the rakish dislodging of any component of the wave per unit time. Likewise, in wave wording for a sinusoidal wave, the rakish recurrence alludes to the precise dislodging of any component of the wave per unit time. It is addressed by A recurrence is a rate, thus, the elements of this amount are radians per unit time. Precise hubs are level planes (or cones) where the likelihood of finding an electron is zero. This implies we can't at any point track down an electron in a rakish (or some other) hub. While outspread hubs are situated at fixed radii, precise hubs are situated at fixed points.

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