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Andru [333]
4 years ago
11

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

th.
Physics
1 answer:
aleksandr82 [10.1K]4 years ago
7 0

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

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What wavelength of radiation has photons of energy 2.87×x10−18 j?
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The energy of a photon is given by
E=hf
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Given the relationship between the frequency f, the wavelength \lambda and the speed of light c for an electromagnetic wave:
f= \frac{c}{\lambda}
we can rewrite the energy of the photon as
\lambda =  \frac{hc}{E}
and by substituting h=6.6 \cdot 10^{-34 J}, c=3 \cdot 10^8 m/s and E=2.87 \cdot 10^{-18}J, we get the wavelength of the photon:
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3 years ago
A block with a mass of 6.0 kg is
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(a) The normal force on the block is 50.92 N.

(b) The horizontal force on block keeping it in equilibrium is 29.4 N.

The given parameters;

  • <em>mass of the block, m = 6 kg</em>
  • <em>angle of inclination, θ = 30.0°</em>

The normal force on the block is calculated as follows;

F_n = W \times cos(\theta)

where;

  • <em>W is the weight of the block</em>

F_n = mg \times cos(\theta)\\\\F_n = 6 \times 9.8 \times cos(30)\\\\F_n = 50 .92 \ N

The horizontal force on block keeping it in equilibrium is calculated as follows;

F- F_x = 0\\\\F-mgsin\theta= 0\\\\F = mgsin\theta\\\\F = 6 \times 9.8 \times sin(30)\\\\F = 29.4 \ N

Learn more here:brainly.com/question/24860178

5 0
2 years ago
What is another principle an artist can follow to create the illusion of depth on a flat surface?
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It can be both flat or it can be when you have new eyeglasses on and you look down it makes you think the ground looks like that but its not 
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Consider f(x) = -4x2 + 24x + 3. Determine whether the function has a maximum or minimum value. Then find the
murzikaleks [220]

Answer:

The function has a maximum in x=3

The maximum is:

f(3) = 39

Explanation:

Find the first derivative of the function for the inflection point, then equal to zero and solve for x

f(x)' = -4*2x + 24=0

-4*2x + 24=0

8x=24

x=3

Now find the second derivative of the function and evaluate at x = 3.

If f (3) ''< 0 the function has a maximum

If f (3) '' >0 the function has a minimum

f(x)''= 8

Note that:

f(3)''= -8

the function has a maximum in x=3

The maximum is:

f(3)=-4(3)^2+24(3) + 3\\\\f(3) = 39

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