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mario62 [17]
4 years ago
6

The ________ and ________ are used to resolve vectors into their components.

Physics
1 answer:
forsale [732]4 years ago
7 0
The sin function and the cos function are used to resolve vectors into their componets
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Determine the magnitude and direction of the resultant velocity of 75.0 m/s. 25.0 east of north, and 100.0 m/s, 25.0 east of sou
aleksandr82 [10.1K]

Answer:

77.35 m / s

Ф = -17° from + X axis or 343° from + X axis

Explanation:

v1 = 75 m/s 25° east of north

v2 = 100 m/s  25° east of south

Write the velocities in vector form ,we get

\overrightarrow{v_{1}}=75\left ( Sin25\widehat{i} +Cos25\widehat{j}\right )=31.7\widehat{i}+67.97\widehat{j}

\overrightarrow{v_{1}}=100\left ( Sin25\widehat{i} -Cos25\widehat{j}\right )=42.26\widehat{i}-90.63\widehat{j}

Now add the velocity vectors to get the resultant of the velocities.

\overrightarrow{v}=\overrightarrow{v_{1}}+\overrightarrow{v_{2}}

\overrightarrow{v}=\left (31.7+42.26  \right )\widehat{i}+\left ( 67.97- 90.63 \right )\widehat{j}

\overrightarrow{v}=73.96\widehat{i}-22.66\widehat{j}

magnitude of resultant velocity is \sqrt{\left ( 73.96 \right )^{2}+\left ( -22.66 \right )^{2}}

  = 77.35 m / s

The direction is Ф from X axis

tan\phi =\frac{-22.66}{73.96}=-0.306

Ф = -17° from + X axis or 343° from + X axis

7 0
4 years ago
A can of tuna, starting from rest, is dropped off a building. If it is only being pulled down by gravity (-9.8 m/s2) and it hits
tia_tia [17]

Answer:

<h3>50.23m</h3>

Explanation:

The distance talks about how far an object has travelled.

Given

9 = -9.8m/s²

t = 3.2s

to get the distance Δx, we will use the formula;

S = ut+1/2gt²

S = 0(3.2)+1/2(-9.8)(3.2)²

S = 0-4.905(10.24)

S = -50.23m

Hence the can of tuna drop by 50.23m

3 0
3 years ago
Find the minimum value of n in the Balmer series for which the predicted wavelength is in the ultraviolet region of the spectrum
d1i1m1o1n [39]

Answer:

 λ =365.4 nm

Explanation:

Boh's atomic model of the Hydrogen atom the energy of each level is

        Eₙ = - 13.606 / n²

where the synergy is in electonvotes and the value of E₀ = 13.606 eV is the energy of the base state of hydrogen.

An atomic transition occurs when an electron goes from an excited state and joins everything of lower energy.

                 ED = 13.606 (1 / n₀² - 1 /n_{f}^{2})

we are going to apply this relationship to answer slash.

 

At the beginning of the studies of atomic transitions, each group did not consider having a different name

name        Initial state

Lymman         1

Balmer           2

the final state is any other state sta the continuum that corresponds to n = inf

Let's look for the highest energy of the Balmer series

              ΔE = 13.606 (1/2² - 1 /∞)

              ΔE = 3.4015 eV

Let's use the Planck relation for the energy

                E = h f = h c /λ

                λ = h c / E

Let's reduce the energy to J

              E = 3.4015 eV (1.6 10⁻¹⁹ J / 1 eV) = 5.4424 10⁻¹⁹

            λ = 6.63 10⁻³⁴  3 10⁸ / 5.4424 10⁻¹⁹

            λ = 3.654 10⁻⁷ m

            λ = 3,654 10⁻⁷ m (10⁹ nm / 1m)

            λ =365.4 nm

this eta radiation in the ultraviolet range

5 0
3 years ago
Why does air blow out of your lungs when you exhale
Levart [38]
When breathing out, it pushes your diaphragm, the muscle below your lungs, up, which then causes the air to leave your lungs.
8 0
3 years ago
Read 2 more answers
At a particular moment in time and space, we measure an electromagnetic wave's electric and magnetic fields. We find the electri
kolbaska11 [484]

Answer:

The direction of propagation is west.

Explanation:

We know that electromagnetic waves (EM-waves) are transverse in nature. EM-waves containing electric field and magnetic field both are perpendicular to the each other ( E ⊥ B ).

Transverse waves : the direction of propagation is perpendicular to the direction of amplitude which we call transverse waves. eg : light waves, water waves, gravitational waves etc.

Here, in our case the direction of electric field is pointing upward to the plan of the screen and the direction of magnetic field is pointing north

∴ E × B = k

Where E = direction of electric field, B = direction of magnetic field, k = direction of propagation at particular instant.

Above equation follows right hand rule. put your finger toward you (out of the screen) then curl to the north side then  the thumb will give you the direction of the wave propagation ( west side )

In our case west direction is the direction of wave propagation.

8 0
4 years ago
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