a boat in the trough of a wave takes 3 s to reach the highest point of the wave. the velocity of the wave is 5 m/s. what is its wavelength?

Answer:

Let No be initial no of atoms

N = N0 / 2      after 1 half-life

N = N0 / 4     after 2 half-lives

So after 2 half-lives 20 of the 80 atoms remain

Answer:

13.23 \(ms-2\)

Explanation:

59,500 divided by 4,500.

To find the acceleration of the jet aircraft during takeoff, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration:

F_net = m * a

where F_net is the net force, m is the mass, and a is the acceleration.

In this problem, the thrust force of the engine is the net force acting on the aircraft during takeoff. Therefore, we can write:

F_net = 59,500 N

m = 4,550 kg

Substituting these values into the equation above, we get:

59,500 N = 4,550 kg * a

Solving for a, we get:

a = 59,500 N / 4,550 kg

a ≈ 13.08 m/s^2

Therefore, the magnitude of the jet's acceleration during takeoff is 13.08 m/s^2.

We can use the formula for the torque on a current loop in a magnetic field:

$\vec{\tau} = \vec{\mu} \times \vec{B}$

where $\vec{\mu}$ is the magnetic dipole moment of the loop and $\vec{B}$ is the magnetic field. For a rectangular loop with sides $a$ and $b$, carrying a current $I$, the magnetic dipole moment is given by:

$\vec{\mu} = Iab \hat{n}$

where $\hat{n}$ is a unit vector normal to the plane of the loop.

The torque on the loop can be calculated as the magnitude of the cross product:

$|\vec{\tau}| = |\vec{\mu}||\vec{B}|\sin\theta$

where $\theta$ is the angle between $\vec{\mu}$ and $\vec{B}$. In this case, since the loop lies in the plane of the magnetic field, $\theta = 90^\circ$ and $\sin\theta = 1$.

Substituting in the given values, we get:

$4.80 \times 10^8\ \mathrm{N\ m} = Iab(0.040\ \mathrm{T})$

We also know that the total length of the wire in the loop is constant:

$2a + 2b = \mathrm{constant}$

or

$b = \mathrm{constant} - a$

Substituting this expression for $b$ into the equation for the magnetic dipole moment, we get:

$\vec{\mu} = Ia(\mathrm{constant} - a) \hat{n}$

Taking the magnitude of $\vec{\mu}$, we get:

$|\vec{\mu}| = Ia(\mathrm{constant} - a)$

Substituting this expression for $|\vec{\mu}|$ into the equation for torque, we get:

$|\vec{\tau}| = Ia(\mathrm{constant} - a)(0.040\ \mathrm{T})$

Since we are looking for the current $I$, we can rearrange this equation to isolate $I$:

$I = \frac{|\vec{\tau}|}{a(\mathrm{constant} - a)(0.040\ \mathrm{T})}$

Substituting in the given values, we get:

$I = \frac{(4.80 \times 10^8\ \mathrm{N\ m})}{(4.0 \times 10^{-2}\ \mathrm{m})(0.060\ \mathrm{m})(0.040\ \mathrm{T})} \approx \boxed{7.5\ \mathrm{A}}$

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The air speed of the helicopter has the ground speed of 250 km/h is 233 km/h  

The ground speed of the helicopter = 250 km/h

The wind speed of the helicopter = 17 km/h

The air speed of the helicopter can be found using the formula,

            G = W + A
where G is the ground speed of the helicopter

           W is the wind speed of the helicopter

           A is the air speed of the helicopter

Let us rearrange the equation in order to get the airspeed,

          A = G - W

Let us substitute the known values in the above equation, we get

          A = 250 - 17

              = 233 km/h  

Therefore, the air speed of the air speed is 233 km/h

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Answer: 55 degrees celsius

Explanation:

The measured temperature of the mixture of water was 50°C.

When two physical systems are connected by a heat-permeable path, they are in thermal equilibrium if there is no net flow of thermal energy between them.

The zeroth law of thermodynamics governs thermal equilibrium. A system is said to be in thermal equilibrium with itself if the temperature within it is uniform and constant over time.

Initial temperature of 100 mL of water is 20°C

and Initial temperature of 100 mL of water is 80°C

Let at thermal equilibrium, temperature of the mixture is t° C.

Hence, at thermal equilibrium,

100 mL × ρ × ( t - 20°C) × s = 100 mL × ρ × ( 80°C -t) × s

t - 20° C = 80°C -t

2t = 100°C

t = 50°C

Hence, the measured temperature of the mixture of water was 50°C.

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Answer:

First, let's think in the vertical problem:

The acceleration will be the gravitational acceleration:

g = 9.8 m/s^2

a = -9.8 m/s^2

For the velocity, we integrate over time:

v(t) = (-9.8 m/s^2)*t + v0

Where v0 is the initial velocity, in this case  v0 = 30m/s.

v(t) =  (-9.8 m/s^2)*t + 30m/s

Now, for the position we integrate again over time, and get:

P(t) = (1/2)*(-9.8 m/s^2)*t^2 + 30m/s*t + p0

Where p0 is the initial position, as the ball is launched from the ground, we can use p0 = 0m

p(t) = (-4.9m/s^2)*t^2 + 30m/s*t

Now, the maximum vertical height is reached when:

v(t) = 0m/s = -9.8m/s^2*t + 30m/s

t = 30m/s/9.8m/s^2 = 3.06s

Now we can evaluate the vertical position in t = 3.06s

p(3.06s) = (-4.9m/s^2)*(3.06)^2 + 30m/s*3.06 = 62m

So, rounding down, the correct option is: C. 60 m

Answer:

Total resistance = 9Ω

Explanation:

Combine the resistors in parallel to create one

The formula for resistors in parallel is ;

I/R = 1/R₁ + 1/R₂

1/R = 1/2 + 1/2

1/R= 1 Ω

Rc= 1 Ω --------where Rc is the combined resistance of the two resistors in parallel

Then the combination will be all in series, where you now have four 2Ω resistors and one 1Ω resistor.

The total resistance now will be;

Rt= 4(2Ω) + 1Ω = 8+1 =9Ω

Answer:

This question is incomplete, the options are:

A) The object absorbs most white light and refracts most green light.

B) The object refracts most white light and absorbs most green light.

C) More green light is absorbed while more red and blue light is reflected.

D) More green light is reflected while more red and blue light is absorbed.

The answer is D.

Explanation:

Light is an electromagnetic wave that contains different colours at different wavelength. The colour of light that is seen depends on the wavelength of light that is REFLECTED, while other wavelengths of light are ABSORBED. This feature is dependent on the properties of each object that received the sunlight.

For example, an object will appear GREEN because it has properties that enables it to REFLECT most of the GREEN LIGHT but absorbs most of the RED AND BLUE LIGHT in the sunlight passing through the object.

Answer:

D

Explanation:

More green light is reflected while more red and blue light is absorbed.

Answer: 37.5 km

Explanation:

The question is that

If you ran 15 km/hr for 2.5 hours, how much distance would you cover ?

Where

Speed = 15 km/ hr

Time = 2.5 hours

Using the formula for speed.

Speed = distance/time

Substitute speed and time into the formula

15 = distance/ 2.5

Make distance the subject of formula by cross multiplying.

Distance = 15 × 2.5

Distance = 37.5 km.

Answer:

2 m/s

Explanation:

the axillary method of taking temperature is advisable for commonly used in children

The axillary (armpit) technique is a simple approach to take a child's temperature, especially for children who are unable to hold a thermometer in their mouths.

The most frequent method for measuring a temperature is the axillary approach. Rectal temperature measurement is NOT advised for an active youngster. The pulse rate is the number of times the heart beats each minute.

Although the values are impacted by ambient temperature, axillary measures are pleasant for patients and pose no safety concern. Many experts advise against using axillary measurements to identify fever due to their poor accuracy.

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Answer:

Advice on how to stay safe and have fun during the pandemic becuase most people are in lockdown and they are having trouble trying to have a fun but they can

(105 N/m) x (0.1 m)  =  10.5 Newtons.

Answer:

(105 N/m) x (0.1 m) = 10.5 Newtons.

Explanation:

apex quiz

Using a saltwater aquarium to model the ocean has limitations, such as showing only a small part of the actual ocean and being unable to replicate the vastness and complexity of the ocean ecosystem.

One limitation of using a saltwater aquarium to model the ocean is that it can only show a small part of the actual ocean. Since an aquarium is confined and limited in size, it cannot realistically replicate the vastness and complexity of the ocean ecosystem. For example, it may not have the space to accommodate large marine animals like whales or the turbulent currents that exist in the open ocean. Therefore, it is important to recognize that while a saltwater aquarium can provide some insights into the ocean, it cannot fully capture the dynamic nature and diverse interactions found within the entire ocean ecosystem.

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Answer:

All fluids exert pressure like the air inside a tire. The particles of fluids are constantly moving in all directions at random. As the particles move, they keep bumping into each other and into anything else in their path. These collisions cause pressure, and the pressure is exerted equally in all directions.

Explanation:

they work less effectively due to the lack of friction on the road when it is wet

pls mark brainliest

Answer: Not really

Explanation: When it's wet, and you slam on the brakes, there's not enough friction with the ground for it to not go spiraling out of control.

Refer to the attached image.

The L'Hospital's rule states that if two functions tend to the same limit, then their derivatives also tend to the same limit. In the case of the pulley problem, when the system reaches equilibrium, the value of x is the limit of the ratio of the forces acting on the pulley.

To solve this problem, we need to use L'Hopital's Rule, which states that if the limit of the ratio of two functions f(x) and g(x) is in the form of 0/0 or ∞/∞, then the limit of the ratio can be found by taking the derivative of both functions and finding the limit of the new ratio. In this case, we are given the equation: f(x) = g(x) Taking the derivative of both sides gives us:

Now we can plug in the values for f(x) and g(x) and solve for x:

Setting the two derivatives equal to each other and solving for x gives us:

Therefore, when the system reaches equilibrium, the value of x is 2.

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Answer:

Please feel free to edit this:

A lunar eclipse can be photographed sometimes when Earth is in between the sun and the moon.

A lunar eclipse is when Earth prevents sunlight from reaching the moon (when the moon passes through Earth's shadow). There are (at least) two reasons that a lunar eclipse cannot be photographed every time the Earth is between the Sun and the moon. One concerns the shadow(s) and the other concerns the orbit of the moon around Earth.  A lunar eclipse occurs when the earth's shadow falls on the moon. For this to happen, the earth has to be between the sun and the moon. During a total eclipse, the sun, earth, and moon are perfectly lined up, and the only light hitting the moon is what is scattered by the edges of our atmosphere. It is mostly red light that makes it through, which is why during a total lunar eclipse, the moon appears red. During a partial eclipse, the earth is still between the sun and moon, but they are not perfectly lined up, so only part of the moon is in shadow.

Here's my message to Eric Wu telling him when a lunar eclipse can be photographed:

A lunar eclipse can occur only at full moon. A total lunar eclipse can happen only when the sun, earth and moon are perfectly lined up anything less than perfection creates a partial lunar eclipse or no eclipse at all. And you can only photographed Lunar Eclipse when the Moon passes through the Earth's shadow, just as a solar eclipse occurs when part of the Earth passes through the Moon's shadow. First, regarding shadows. There are three "types" of shadow cast by Earth called the Umbra, Penumbra, and Antumbra. The umbra is the darkest part of the shadow and is where all illuminate from the Sun is blocked by Earth. The penumbra is the lighter outer part of the shadow where only a portion of the Sun is covered. The Antumbra is another lighter shadow which occurs where Earth appears smaller than the Sun so that the edges of the Sun can be seen as a ring around Earth. The Antumbra occurs at large distances from Earth. In Earth or Moon lunar eclipses, only the umbra and penumbra are important because the antumbra begins outside of the moon's orbit.

Lunar eclipses involving the umbra are readily apparent because the moon becomes nearly invisible. These eclipses are called total and partial lunar eclipses (depending on how much of the moon passes through the umbra.) Eclipses where the moon passes through Earth's penumbra (accordingly designated "penumbral lunar eclipses" ) produce only a slight darkening of the moon. Thus, while penumbral lunar eclipses are still eclipses, the shadowing is so subtle that they can be difficult to see and photograph. Now, regarding the moon's orbit and the sun, moon & Earth arrangement. At every full moon, Earth is essentially between the Sun and the moon. But lunar eclipses do not occur at every full moon (and analogously, solar eclipses do not occur at every new moon). This is because the plane in which the moon orbits Earth is not the same as the plane in which Earth orbits the Sun (called the ecliptic). Instead, the moon's orbit is inclined at ~5° from the ecliptic. As the moon orbits Earth, it changes between being above and below the ecliptic, necessarily crossing the ecliptic twice per lunar cycle (i.e., full moon-to-full moon cycle). This means that the moon is only in the same plane as the Sun and Earth twice per orbital revolution and thus there are only two times per cycle for which the Sun, Earth, and the moon are all in the same plane. But they may not be on the same line, the moon also must be in the "full" position, otherwise Earth will not be between it and the Sun. The timing of full and new moons do not always align with that of the moon reaching the crossing points called "nodes" because the time for the moon to complete a cycle of phases (29.5 days) is slightly different from the time to complete one orbit of Earth (27.3 days).

Explanation:

My explanation is in a picture, because it was more than 5000 characters.

Answer:

43.58kg

Explanation:

The equation F=ma will help here.

F=ma

523N=m(12m/s^2)

43.58kg=m

Answer:   The greatest force of gravity on the ball will occur at the point when the ball is near to hit the ground ... hope this helps have a good day :P

Answer:

yes

Explanation:

Answer:

The moon does not have weather to erode the evidence of asteroid impacts.

Answer:

Approximately \(2.69\; {\rm A}\).

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).

Electric current \(I\) is the rate of flow of electric charge.

In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:

\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).

Answer:

the answer is 4.649 liters

Answer: The answer is 4.56L

The force exerted by the output piston will be 20 N. The pressure exerted on the both end is equal.

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

It is denoted by P. The pressure relative to the ambient pressure is known as gauge pressure.

The area of the input cylinder is found as;

A₁=πR₁²

A₁=π(2)²

A₂=4π

The area of the output cylinder is found as;

A₂=πR₂²

A₂=π(4)²

A₁=16π

The pressure exerted on the both end is equal ;]

P₁=P₂

F₁A₁=F₂A₂

80 ×4 π==F₂×16 π

F₂=20 N.

Hence,the force exerted by the output piston will be 20 N.

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Work done on the gas = -1600 J, and Heat flow into the gas = -1600 J . The correct option for both questions is (option 6).

To solve this problem, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:

ΔU = Q - W

where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. Since the volume of the gas is held constant during the second part of the process, no work is done on or by the gas, so W = 0.

For the first part of the process, the pressure is constant, so we can use the equation:

W = PΔV

where P is the pressure, and ΔV is the change in volume. We can convert the volumes to cubic meters, and the pressure to Pascals:

P = 2 atm = 2 x 1.0 x 10^5 Pa

V1 = 10 L = 0.01 m³

V2 = 2 L = 0.002 m³

ΔV = V2 - V1 = -0.008 m³ (since the gas is being compressed)

W = PΔV = (2 x 1.0 x 10^5 Pa) x (-0.008 m³) = -1600 J

So, the work done on the gas during the compression is -1600 J.

To find the heat flow into the gas during the second part of the process, we can use the equation:

ΔU = Q - W

Since the internal energy of an ideal gas depends only on its temperature, and the temperature is the same at the beginning and end of the process, ΔU = 0. Therefore:

0 = Q - W

Q = W = -1600 J

So, the heat flow into the gas during the second part of the process is -1600 J.

Therefore, the answers to the questions are Work done on the gas = -1600 J (option 6), and Heat flow into the gas = -1600 J (option 6).

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Answer:

The beta decay takes place.

Explanation:

The reaction of radioactivity of carbon 14 to nitrogen 14 is

There is a beta decay.  

The reaction is

\(C_{6}^{14}\rightarrow N_{7}^{14}+\beta _{-1}^{0}+ energy\)

Here some energy is released in form of neutrino.

Answer: Refraction is the bending of light (it also happens with sound, water and other waves) as it passes from one transparent substance into another.

Explanation: