answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas
4 days ago
10

A merry-go-round initially at rest at an amusement park begins to rotate at time t=0. The angle through which it rotates is desc

ribed by θ(t)=πk(t+ke−t/k), where k is a positive constant, t is in seconds, and θ is in radians. The angular velocity of the merry-go-round at t=T is
Physics
1 answer:
ValentinkaMS [1.1K]4 days ago
5 0

Respuesta:

La velocidad angular del carrusel es πk - 1 cuando t= T

Descripción:

Según el planteamiento:

\theta(t) = \pi k(t+k_e-\frac{t}{k} )..........................(1)

ya que, matemáticamente, la velocidad angular se define como:

\omega(t) = \frac{d\theta(t)}{dt}........................(2)

al sustituir el valor de θ(t) de la ecuación 1 en la ecuación (2) obtenemos:

\omega(t) = \frac{d\theta(t)}{dt} = \frac{d\pi k (t + k_e - \frac{t}{k} )}{dt}............................(3)

al derivar la ecuación (3) con respecto al tiempo, llegamos a:

ω(t) = πk(1 -\frac{1}{k}) = πk - 1, lo cual es la velocidad angular del carrusel.

Por ende, la velocidad angular del carrusel es πk - 1 cuando t= T

You might be interested in
The two sides of the DNA double helix are connected by pairs of bases (adenine, thymine, cytosine, and guanine). Because of the
kicyunya [1011]

Answer:

Explanation:

An image of the bond resulting from the search is attached.

Consider the force directed towards thymine as negative.

For the O-H-N combination:

The resulting force from this combination is:

F=-F_{OH}+F_{ON}\\\\=\frac{Ke^2}{r^2}+\frac{Ke^2}{r'^2}\\\\=Ke^2(\frac{-1}{r^2}+\frac{1}{r'^2})\\\\=(9.0\times 10^9Nm^2/kg^2)(1.6\times 10^{-19}C)^2[\frac{1}{[(0.280-0.110)\times 10^{-9}m]^2}+\frac{1}{0.280\times 10^{-9}m)^2}]\\\\=-5.03354\times 10^{-9}N

In the case of the N-H-N combination:

The total force acting from this combination is:

F'=F_{NN}-F_{HN}\\\\=\frac{Ke^2}{r^2}-\frac{Ke^2}{r'^2}\\\\=Ke^2(\frac{-1}{r^2}+\frac{1}{r'^2})\\\\=(9.0\times 10^9Nm^2/kg^2)(1.6\times 10^{-19}C)^2[\frac{1}{[0.300\times 10^{-9}m]^2}-\frac{1}{((0300-0..110)\times 10^{-9})m)^2}]\\\\=-3.822\times 10^{-9}N

The force that thymine applies on adenine is:

F_{net}=F+F'\\\\=-5.03354\times 10^{-9}N-3.822\times 10^{-9}N\\\\=-8.8558\times 10^{-9}N

When rounded to three significant figures, the net force is 8.86\times 10^{-9}N

b)

The negative value indicates that the force is attractive, as it is aimed towards thymi.

c)

The force acting on the electron due to the proton is:

F=\frac{Ke^2}{r^2}\\\\=\frac{(9.0\times 10^9Nm^2/C^2)(1.6\times 10^{-9}C)^2}{(5.29\times 10^{-11}m)^2}\\\\=8.233\times 10^{-8}N

Since the electron and proton carry opposite charges, the force on the electron points towards the proton.

d)

The ratio of the above forces is:

\frac{F}{F_{net}}=\frac{8.233\times 10^{-8}N}{8.233\times 10^{-8}N}\\\\=9.3

Therefore, the bonding strength of the electron in the hydrogen atom is 9.3 times greater than the bonding force between adenine and thymine molecules.

5 0
3 days ago
The water level in a tank is 20 m above the ground. a hose is connected to the bottom of the tank, and the nozzle at the end of
serg [1189]

Respuesta:

P_(bomba) = 98,000 Pa

Explicación:

Se nos proporciona;

h2 = 30m

h1 = 20m

Densidad; ρ = 1000 kg/m³

Primero, entendemos que la suma de las presiones en el tanque y la bomba es igual a la del boquilla,

Así, se puede expresar como;

P_(tanque)+ P_(bomba) = P_(boquilla)

Ahora, la presión se daría como;

P = ρgh

Y así,

ρgh_1 + P_(bomba) = ρgh_2

<ppor lo="" tanto="">

P_(bomba) = ρg(h_2 - h_1)

<pal sustituir="" los="" valores="" pertinentes="" obtenemos="">

P_(bomba) = 1000•9.8(30 - 20)

P_(bomba) = 98,000 Pa

</pal></ppor>
5 0
2 days ago
When jumping, a flea accelerates at an astounding 1000 m/s2 but over the very short distance of 0.50 mm. If a flea jumps straigh
Yuliya22 [1153]

Answer:

A flea can attain a maximum elevation of 51 mm.

Explanation:

Hello!

The following equations describe the height and velocity of the flea:

During the jump:

h = h0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

In free fall:

h = h0 + v0 · t + 1/2 · g · t²

v = v0 + g · t

Where:

h = flea's height at time t.

h0 = initial height.

v0 = starting velocity.

t = time interval.

a = flea's acceleration while jumping.

v = flea's velocity at that specific time.

g = gravitational acceleration.

Initially, we need to determine the time taken for the flea to attain a height of 0.0005 m. This will help us calculate the flea's velocity during the jump:

h = h0 + v0 · t + 1/2 · a · t²

If we assume the ground as the origin, thus h0 = 0. Since the flea starts stationary, v0 = 0. Therefore:

h = 1/2 · a · t²

We need to find the value of t when h = 0.0005 m:

0.0005 m = 1/2 · 1000 m/s² · t²

0.0005 m / 500 m/s² = t²

t = 0.001 s

Next, we calculate the velocity achieved during that time:

v = v0 + a · t (v0 = 0)

v = a · t

v = 1000 m/s² · 0.001 s

v = 1.00 m/s

At a height of 0.50 mm, the flea's velocity stands at 1.00 m/s. This initial speed will reduce due to gravity's downward pull. When the speed reaches zero, the flea will have reached its peak height. Using the velocity equation, let's determine the time taken to reach maximum height (v = 0):

v = v0 + g · t

At peak height, v = 0:

0 m/s = 1.00 m/s - 9.81 m/s² · t

-1.00 m/s / -9.81 m/s² = t

t = 0.102 s

Now, we can compute the height attained by the flea during this time:

h = h0 + v0 · t + 1/2 · g · t²

h = 0.0005 m + 1.00 m/s · 0.102 s - 1/2 · 9.81 m/s² · (0.102 s)²

h = 0.051 m

A flea reaches a maximum height of 51 mm.

5 0
15 days ago
A particle has a charge of -4.25 nC.
kicyunya [1011]

Answer:

-611.32 N/C

0.43723 m

Explanation:

k = Coulomb constant = 8.99\times 10^{9}\ Nm^2/C^2

q = Charge = -4.25 nC

r = Distance from particle = 0.25 m

The electric field can be calculated using

E=\dfrac{kq}{r^2}\\\Rightarrow E=\dfrac{8.99\times 10^9\times -4.25\times 10^{-9}}{0.25^2}\\\Rightarrow E=-611.32\ N/C

The calculated magnitude is 611.32 N/C

The electric field direction is vertically downward due to the negative charge.

E=\dfrac{kq}{r^2}\\\Rightarrow r=\sqrt{\dfrac{kq}{E}}\\\Rightarrow r=\sqrt{\dfrac{8.99\times 10^9\times 4.25\times 10^{-9}}{13}}\\\Rightarrow r=1.71436\ m

The distance from the electric field source is 1.71436 m

4 0
12 days ago
Read 2 more answers
A 1.47-newton baseball is dropped from a height of 10.0 meters and falls through the air to the ground. The kinetic energy of th
Sav [1095]

Answer:

The peak mechanical energy transformed into internal energy throughout the descent is 26.7 joules.

Explanation:

Potential Energy (PE) is calculated as the weight of the baseball multiplied by the height, which gives us 1.47N × 10m = 14.7Nm or 14.7 joules.

The kinetic energy (KE) is recorded as 12 joules.

The maximum mechanical energy that converts to internal energy during the fall can be expressed as PE + KE = 14.7 joules + 12 joules = 26.7 joules.

8 0
5 days ago
Read 2 more answers
Other questions:
  • Mrs. Gonzalez is about to give birth and Mr. Gonzalez is rushing her to the hospital at a speed of 30.0 m/s. Witnessing the spee
    8·1 answer
  • A 2600-m-high mountain is located on the equator. how much faster does a climber on top of the mountain move than a surfer at a
    14·1 answer
  • A ferris wheel of radius 100 feet is rotating at a constant angular speed Ï rad/sec counterclockwise. using a stopwatch, the rid
    7·1 answer
  • In the sport of parasailing, a person is attached to a rope being pulled by a boat while hanging from a parachute-like sail. A r
    10·1 answer
  • If low CVP precipitates a suction alarm, rapid infusion of volume can remedy the situation after dropping the P-level.
    15·1 answer
  • A locomotive is accelerating at 1.6 m/s2. it passes through a 20.0-m-wide crossing in a time of 2.4 s. after the locomotive leav
    13·2 answers
  • Assume that the cart is free to roll without friction and that the coefficient of static friction between the block and the cart
    15·2 answers
  • Two loudspeakers 42.0 m apart and facing each other emit identical 115 Hz sinusoidal sound waves in a room where the sound speed
    5·1 answer
  • A skateboarder is attempting to make a circular arc of radius r = 16 m in a parking lot. The total mass of the skateboard and sk
    10·1 answer
  • Two small diameter, 10gm dielectric balls can slide freely on a vertical channel each carry a negative charge of 1microcoulomb.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!