The eye of a category 2 hurricane is 450 nautical miles away and forecast to come ashore at your coastal location. the tropical storm-force winds extend 150 nautical miles. if the hurricane's forward speed is 20 knots, how long before tropical storm-force winds begin to affect your community?

The initial speed of the long jumper is calculated by finding the upward component of her velocity caused by her jumping at a 20-degree angle and achieving a maximum height of 0.6 m, then determining the total velocity by dividing this by the sine of the launch angle. The distance of her jump is found by applying these values in the formula for the range of a projectile. Both calculations assume no air resistance.

In this problem, the initial speed of the jumper is determined using the physics concepts of projectile motion.

To find the initial speed, first, we compute the upward component of the velocity using the formula ਙ = √(2*g*h), where g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the maximum height (in this case, 0.6 m). The upward component of the velocity comes out to be approximately 3.443 m/s.

Second, we determine the initial speed by dividing the upward component of the velocity by the sine of the angle, which in this case is 20 degrees. This gives us an initial speed of approximately 10 m/s.

The distance of the jump (or the range of the projectile) can be calculated using the formula R = (vₒ²/g) * sin(2θ), where R is the range, vₒ is the initial velocity, g is the acceleration due to gravity, and θ is the launch angle. Substituting the values, the range comes out to be approximately 6.59 m.

These answers are based on ignoring any effects of air resistance.

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Answer:

Explanation:

Scalar quantity is described as such quantities measured which has only magnitude but not direction.

Force when applied on any object is always denoted and comes with direction. It is always necessary to represent force is acting on which direction.

Hence force is not a scalar quantity. It is a vector quantity as it has magnitude as well as direction.

Final answer:

An astronaut could theoretically throw a wrench approximately 73.5 meters high on the Moon, which is about 6 times higher than on Earth, due to the lower gravitational acceleration.

Explanation:

The question is about how high an astronaut could throw a wrench on the Moon compared to the Earth given the same starting speed. The gravitational acceleration on the Moon is 0.170 g, or approximately 1.6 m/s², which is about 1/6 of that on Earth (9.8 m/s²). Therefore, if an astronaut can throw a wrench 12.0 meters high on Earth, we can calculate how high it would go on the Moon using the ratios of the accelerations due to gravity.

First, we recognize that the maximum height reached by an object thrown vertically is inversely proportional to the local gravitational acceleration. Mathematically:

Height on Earth / Height on Moon = Acceleration due to gravity on Moon / Acceleration due to gravity on Earth

Substituting the given values:

12.0 m / Height on Moon = 1.6 m/s² / 9.8 m/s²

Solving for the height on the Moon gives:

Height on Moon = 12.0 m * (9.8 m/s² / 1.6 m/s²) = 12.0 m * 6.125 = 73.5 m

Therefore, the astronaut could throw the wrench approximately 73.5 meters high on the Moon, assuming no air resistance and the same initial throwing speed.

we know that

[tex] 1 [/tex] nanometer is equal to [tex] 10^{-9} [/tex] meters

so

[tex] 650\ nm [/tex]------> convert to meters

by proportion

[tex] \frac{1}{10^{-9}}\frac{nm}{m} = \frac{650}{x} \frac{nm}{m} \\ \\ x=650*10^{-9} \ nm\\ \\ x=6.5*10^{-7} \ m [/tex]

[tex] Wave\ length\ of\ red\ light = 6.5*10^{-7}\ m [/tex]

[tex] Wave\ length\ of\ a\ water = 2\ m [/tex]

To calculate how much bigger is the wavelength of a water

Divide [tex] 2\ m [/tex] by [tex] 6.5*10^{-7}\ m [/tex]

so

[tex] \frac{2}{6.5*10^{-7}} =3.08*10^{6} [/tex]

therefore

the answer is

[tex] 3.08*10^{6}\ times\ bigger [/tex]

The wavelength of the water wave is 3 x 10⁶ times bigger than that of the red light.

The wavelength of a waveform signal that is propagating in space or over a wire is measured by the separation between identical points, adjacent crests in the adjacent cycles.

Given that the wavelength of red light is 650 nanometers.

We know that 1 nanometer = 10⁻⁹meter

In order to convert 1 nanometer into meter, it should be multiplied by 10⁻⁹.

So, 650 nm = 650 x 10⁻⁹

650 nm = 0.65 x 10⁻⁶

The wavelength of the given water wave = 2 m

So, comparing the wavelength of the red light with that of the water wave,

2/ 0.65 x 10⁻⁶ = 3 x 10⁶

Therefore, the wavelength of the water wave is 3 x 10⁶ times bigger than that of the red light.

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Final answer:

The radius of curvature for a car rounding a curve with a constant speed of 10 m/s and a centripetal acceleration of 5 m/s2 is calculated to be 20 meters.

Explanation:

The problem requires us to find the radius of curvature when a car is rounding a curve with a centripetal acceleration. Centripetal acceleration (a) is given by the formula a = v² / r, where v is the constant speed of the car and r is the radius of curvature. Knowing that the car has a constant speed (10 m/s) and a centripetal acceleration (5 m/s²), we can rearrange this formula to solve for the radius r as follows:

r = v² / a

Substituting the given values:

r = (10 m/s)² / (5 m/s²)

r = 100 m²/s² / 5 m/s²

r = 20 m

Therefore, the radius of curvature of the curve is 20 meters.

The acceleration of an airplane will be "4 m/s²".

According to the question,

The velocity is:

The time is:

As we know,

The formula of acceleration is:

→ [tex]A = \frac{Change \ in \ velocity}{Time}[/tex]

or,

→ [tex]A = \frac{v_2-v_1}{t}[/tex]

By substituting the values, we get

→     [tex]= \frac{80-0}{20}[/tex]

→     [tex]=\frac{80}{20}[/tex]

→     [tex]= 4 \ m/s^2[/tex]

So the above answer is right.

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Density of given salt solution is 1.14 gram / milliliter

Given:

Mass of salt solution = 57 gram

Volume of salt solution = 50 milliliter

Find:

Density of a salt solution

Computation:

⇒ Density = Mass / Volume

⇒ Density of a salt solution = Mass of salt solution / Volume of salt solution

⇒ Density of a salt solution = 57 / 50

⇒ Density of a salt solution = 1.14 gram / milliliter

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Final answer:

To compute the flea's acceleration, Newton's second law is employed, considering the vertical and horizontal forces separately, and then combining these to find the magnitude and direction using trigonometry.

Explanation:

The question involves calculating the direction and magnitude of the acceleration of a flea, considering both the force exerted by the flea and the force of the breeze, as well as the gravitational force. To find the acceleration, we apply Newtons second law, which states that the acceleration of an object is equal to the net force acting upon it divided by the object's mass, or № = F / m. We can break down the forces into two components: vertical and horizontal.

Vertically, the flea exerts a force downward and gravity pulls it downward, while horizontally, the breeze exerts a force. To find the acceleration in the vertical direction, add the force exerted by the flea to the weight of the flea (mass times gravitational acceleration) and divide by the flea's mass. For the acceleration in the horizontal direction, divide the force of the breeze by the mass of the flea. Since these accelerations are perpendicular, we can use Pythagorean theorem to find the resultant magnitude and trigonometry to find the overall direction of the acceleration.

No, because a single distance could

correspond to a variety of different positions of the objects.

The recoil velocity of the machine is 0.11 m/s in opposite direction.

According to the law of conservation of momentum, when two or more bodies are operating upon one another in an isolated system, their combined momentum stays constant unless an external force is added. Because of this, momentum cannot be created or destroyed.

The mass of the pitching machine is : M = 54.6 kg

The mass of the baseball is: m = 0.149 kg.

The velocity of the baseball is: v = 42.6 m/s.

The velocity of the machine is: V = ?

From law of conservation of momentum;

Momentum of the machine = - momentum of the ball

MV = - mv

V = -mv/M

= - (0.149×42.6)/54.6 m/s

= - 0.11 m/s.

Hence, the recoil velocity of the machine is 0.11 m/s in opposite direction.

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Mass and weight are often used interchangeably on Earth because the force of gravity is relatively constant. However, in science, mass and weight have distinct meanings. Mass is the measure of how much matter is in an object, while weight is the measure of the force of gravity acting on an object.

Mass and weight are often used interchangeably in everyday language, but in science, they have distinct meanings. Mass is the measure of how much matter is in an object, while weight is the measure of the force of gravity acting on an object. On Earth, weight and mass are used synonymously because the force of gravity is relatively constant across the planet. However, it is important to remember that weight can vary in different locations, whereas mass remains constant.

Having and drinking hygienic water is human right and is vital to life. The water should be tested, treated and filtered to remove any contaminants that can lead do sickness. Some of the strategies in which local municipality is implementing in addressing the topic of lack of clean water are:
1. Good monitoring of the water supplies
2. Desalination – this is removal of mineral components from saline water especially salt. The procedure is more expensive but is a way to reuse water 
3. Campaign for more proficient and more wisely usage of the water in order to make the people conscious of the fact how important the natural resource water is.

Active transport includes the utilization of vitality to move particles against a main impetus or, as such, up an electrochemical angle. There are two essential types of Active transport: Primary active utilizes the vitality source (ATP) to straightforwardly ship atoms.

Further Explanation:

Force driving:

Main impetus is a term having more extensive importance than the term Force. To place it in basic words, the Cause of any wonder in nature is the Driving Force of/in that marvel. This reason can likewise be an option that is other than the Force (as saw by and large, which is mechanical power estimated in Newton or pounds).  

transport mechanism:  

To move substances against a focus or electrochemical angle, a cell must utilize vitality. Dynamic vehicle components do only this, consuming vitality (frequently as ATP) to keep up the correct centralizations of particles and atoms in living cells.  

the two kinds of transport machanism:  

The two principle kinds of transport into and out of cells incorporate aloof transport and dynamic transport.  

Active transport:  

Active transport is the development of particles over a film from an area of their lower focus to a locale of their higher fixation against the focus inclination. Dynamic vehicle requires cell vitality to accomplish this development.  

Passive transport:

Passive transport is a development of particles and other nuclear or atomic substances crosswise over cell layers without need of vitality input. In contrast to Active transport, it doesn't require a contribution of cell vitality since it is rather determined by the propensity of the system to develop in entropy.

Subject: physics

Level: High School

Keywords: Force driving, transport mechanism, the two kinds of transport mechanism, Active transport, Passive transport.

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The force driving all of these transport mechanisms is the diffusion down the concentration gradient.

Diffusion is the process of movement of molecules under the higher-to-lower concentration gradient. Transport by diffusion of the molecule down its concentration gradient. The transport mechanism is a spontaneous process that requires no energy.

The transport mechanism is of two types that transport molecules through any biological membrane. These are active and passive transport. Passive transport is the common mechanism called diffusion, which occurs along a concentration gradient from high to low concentration. No energy is required for this process.

Hence, the force driving all of these transport mechanisms is because of diffusion down the concentration gradient.

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Why does a gun recoil when a bullet is fired?

When a bullet is fired, the gun exerts a force on the bullet through the trigger (this is action) in a particular direction. According to Newton's Third Law, we know to every action there is an equal and opposite reaction; action and reaction act on different bodies. So, the bullet will also exert an equal and opposite reaction on the gun in the opposite direction. That is why a gun recoils when a bullet is fired from it.

ray4918 here to help

The centripetal acceleration (a ) of an object moving in a circular path of radius  r at a constant speed and v is  = a = v²/r

The riders are subjected to a centripetal acceleration that is 1.50 times the acceleration due to gravity, a = 1.50 × g.

a = r  ×ω ²  

1.50 g = r  ×ω ²  

ω ²   = √1.50 g / r

rpm =  ω/2π  ×60

rpm=  √1.50⋅g/ r/2 π  ×60

rpm = 9.50

Therefore,  the riders will be subjected to approximately 9.50 revolutions per minute.

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The actual car is 5.46 meters long.

To determine the length of the actual car based on its scale model, first note the given details:

We can calculate the length of the actual car using the formula:

Length of actual car = (Length of model car in cm) × (Scale factor in meters/cm)

Substituting the given values:

Length of actual car = 18.2 cm × 0.3 meters/cm = 5.46 meters

Thus, the actual car is 5.46 meters long.

Answer:

B: calcium and sodium

Explanation:

you can see it on the pie chart, sodium and calcium make up 7%

Answer:

Mass = 30.6 kg

Explanation:

Given

Weight scale reading W = 300 N

Solution

Weight W = Mass (m) x Acceleration due to gravity (g)

W = mg

m = W/g

m = 300 / 9.81

m = 30.6 Kg

A bathroom scale measures weight which is a force in newtons or pounds. It is calibrated to provide information about mass by dividing the weight measurement by 9.80 in most countries. In this case, if each scale reads 300 N, Larry's mass would be approximately 30.61 kg.

A bathroom scale measures weight, which is a force in newtons or pounds. When you stand on a bathroom scale, the springs inside the scale compress in proportion to your weight, similar to rubber bands expanding when pulled. This compression provides a measure of your weight.

However, the scale is calibrated to provide information about mass, so the weight measurement is divided by 9.80 in most countries to give a reading in mass units of kilograms.

In this case, if each scale reads 300 N, we can use the formula F = mg, where F is the force (300 N), m is the mass (unknown), and g is the acceleration due to gravity (approximately 9.80 m/s²). Rearranging the formula, we have m = F/g. Substituting the given values, we get m = 300 N / 9.80 m/s² = 30.61 kg.