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labwork [276]
3 years ago
11

The position of a particle is given by the expression x = 2.00 cos (6.00πt + 2π/5), where x is in meters and t is in seconds det

ermine the position of the particle at t = 0.330 s
Physics
1 answer:
Nana76 [90]3 years ago
8 0
The position of the particle at time t is
x(t) = 2.00 \cos (6.00 \pi t+ \frac{2}{5}\pi )
If we substitute t=0.330 s, we find
x(0.330 s)=2.00 \cos (6.00 \pi (0.330 s) +  \frac{2}{5}  \pi)=
=2.00 \cos (1.98 \pi +  0.40 \pi )=2.00 \cos (2.38 \pi) =
=2.00 \cdot (-0.72)=-1.45 m
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Two identical traveling waves, moving in the same direction, are out of phase by π/5.0 rad. What is the amplitude of the resulta
andreev551 [17]

Answer:

Therefore the amplitude of the resultant wave is =0.95 y_m

Explanation:

The equation of wave:

y=A sin (kx-ωt)

For wave 1:

y₁=A sin (kx-ωt) = y_{m}sin (kx-ωt)

For wave 2:

y₂=A sin (kx-ωt+Φ) = y_{m}sin (kx-ωt+Φ)

Where A= amplitude=y_m

The angular frequency \omega=\frac{2\pi}{T}

k=\frac{2\pi}{\lambda} , \lambda= wave length.

t= time

T= Time period

\phi = phase difference =  \frac{\pi}{5}

The resultant wave will be

y = y₁ + y₂

 =y_m sin (kx-ωt) + y_m sin (kx-ωt+Φ)

 =y_m {sin (kx-ωt) + sin (kx-ωt+Φ)}

 =y_m\  sin(\frac{kx-\omega t +\phi + kx-\omega t }2)\ cos(\frac{kx-\omega t  +\phi -kx+\omega t}2)

 =y_m\  sin({kx-\omega t +\frac\phi 2)\ cos(\frac{\phi }2)

=y_m\ cos(\frac{\phi }2) sin({kx-\omega t +\frac\phi 2)

Therefore the amplitude of the resultant wave is

=y_m\ cos(\frac{\phi }2)

=y_m\ cos(\frac{\pi }{10})

=0.95 y_m

6 0
4 years ago
Assume that in 2010 the United States will need 2.0×1012 watts of electric power produced by thousands of 1000 MW power plants.
Alex73 [517]

Answer:

1752.14 tonnes per year.

Explanation:

To solve this exercise it is necessary to apply the concepts related to power consumption and power production.

By conservation of energy we know that:

\dot{P} = \bar{P}

Where,

\dot{P} = Production of Power

\bar{P} = Consumption of power

Where the production of power would be,

\dot{P} = m \dot{E}\eta

Where,

m = Total mass required

\dot{E} = Energy per Kilogram

\eta =Efficiency

The problem gives us the aforementioned values under a production efficiency of 45%, that is,

\dot{P} = \bar{P}

m \dot{E}\eta = \bar{P}

Replacing the values we have,

m(8*10^13)(0.45) = 2*10^{12}

Solving for m,

m = \frac{ 2*10^{12}}{(8*10^13)(0.45)}

m = 0.0556 \frac{kg}{s}

We have the mass in kilograms and the time in seconds, we need to transform this to tons per year, then,

m = 0.556\frac{kg}{s}*(\frac{3.1536*10^7s}{1year})(\frac{1ton}{1000kg})

m = 1752.14tonnes per year.

8 0
3 years ago
An insulator:
fomenos
<span>An insulator resists conduction of electrons.</span>
3 0
4 years ago
A parallel circuit contains four identical lamps. The current through the energy source is 4 A. The total resistance of the circ
TEA [102]

Answer:

b. 40V , 40V

Explanation:

Connections are as per the figure.

As total current through source is 4A , current through each lamp is 1A.

As total resistance of the circuit is 10Ω ,resistance of each bulb is 40Ω because in case of a parallel circuit in which identical objects are connected , R_{eff} = \frac{R}{n} where R is the resistance of each bulb and n is the number of bulbs.

As per Ohm's law , voltage of the source =IR = 4×10 =40V.

We can see from the figure that if the voltage across the source is 40V , the voltage across each bulb is also 40V.

7 0
4 years ago
Can you help me I am in trouble plz help ​
kupik [55]

Answer:

A velocity

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