A force of 20. Newtons is exerted on a cart for 15. seconds. How long must a 100.-newton force act to produce the same impulse

Answer:

crest

Explanation:

The wave front of longitudinal wave consists of a lower depression called trough and inflated curve called crest. The amplitude of the wave is known as the maximum displacement of the wave.

The approximate height of the balloon from the ground is calculated to be 28.98 m.

Based on the given information, you can draw a right triangle where the hypotenuse side is given as 30 m and the ground makes 75° with the hypotenuse.

Let x be the height of the balloon from the ground.

And α be the given angle.

sin α = opposite side / hypotenuse

The opposite side gives the height of the balloon from the ground.

So, sin 75° = x/30

0.966 = x/30

x = 28.98 m

Thus, the height of the balloon from the ground is calculated to be 28.98 m.

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When a light rain falls after oil and gasoline have leaked onto the road surface, it can cause the car to become less responsive and more difficult to control.

This is because the oil and gasoline act as a slippery layer on the road surface, which reduces the friction between the tires and the road. The rainwater can then mix with the oil and gasoline, making the layer even more slippery and reducing the vehicle's grip on the road.

To help mitigate this issue, drivers should be aware of their surroundings and the potential for slippery surfaces, and should adjust their speed and driving accordingly. Additionally, using tires with greater tread, or using more aggressive tires designed for wet and slippery conditions, can also help increase the vehicle's grip on the road.

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Answer:

To calculate the angular momentum of the car, you will need to use the formula:

angular momentum = mass * velocity * radius

Plugging in the values you provided:

angular momentum = 2000 kg * 30 mph * 0.5 m

This gives us an angular momentum of 3000 kg*m^2/s.

Is there anything else I can help you with?

Explanation:

Answer:

30000 kg*m^2/s

Explanation:

To calculate the angular momentum of the car, we can use the formula L = I * omega, where L is the angular momentum, I is the moment of inertia, and omega is the angular velocity.

We can calculate the moment of inertia of the car as follows:

I = mr^2

Plugging in the values, we get:

I = 2000 kg * (0.5 m)^2

= 500 kg*m^2

Next, we need to calculate the angular velocity of the car. To do this, we can use the formula omega = v/r, where v is the linear velocity and r is the radius of the curve.

Plugging in the values, we get:

omega = 30 mph / 0.5 m

= 60 rad/s

Now that we have the moment of inertia and the angular velocity, we can calculate the angular momentum as follows:

L = I * omega

= 500 kgm^2 * 60 rad/s

= 30000 kgm^2/s

Therefore, the angular momentum of the car is 30000 kg*m^2/s.

According to the given statement -109.3°F is this temperature in °f.

The elastic potential energy of a particles in an item is measured by its temperature. The velocity of these particles likewise increases as the temperature rises. A thermometer or just a calorimeter is used to determine the temperature. The degree to which an object is hot or cold is measured by its temperature.

To convert a temperature from °C to °F, you can use the formula:

°F = (9/5) * °C + 32

So, -78.5°C = (9/5) * -78.5 + 32 = -109.3°F

It's important to note that dry ice, also known as solid carbon dioxide, sublimates directly from a solid to a gas at -78.5°C (109.3°F) without passing through a liquid state. It's commonly used as a refrigerant and a cooling agent in various industrial and scientific applications.

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"Modern seismographs rely on inertia to record the ground motion from an earthquake."

As the seismograph shakes under the mass, the recording device on the mass records the relative motion between itself and the rest of the instrument, thus recording the ground motion.

Seismometers are devices used to measure and record seismic waves. Elastic vibrations known as seismic waves pass through the earth. A seismometer is a device used to capture these vibrations, and the graph that results from this capture is known as a seismogram.

Other magnitude scales measure various aspects of the earthquake, but the Richter scale measures the biggest wobble on the recording.

Modern Global Seismology, is a complete, self-contained primer on seismology, featuring extensive coverage of all related aspects from observational data through prediction and emphasizing the fundamental theories and physics governing seismic waves, both natural and anthropogenic.

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The rate at the first stage is 0.74 m/s, the rate at the castle gate is 1.40 m/s, the rate at the third checkpoint is 1.61 m/s, and indeed the speed at the end of the race is 1.89 m/s, according to the stated statement.

The pace at which an object's location changes in any direction is referred to as its speed. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.

Jack turns off Annie's vest but soon discovers he can't interrupt the train just save Jane since she's bound and thus the keys are lost. Jack rushes up his train as causes it to entirely derail in a last-ditch effort to survive, finally erupting into the streets.

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The complete question is-

Calculate the speed of the car at each checkpoint by dividing the distance between each checkpoint in meters by the change in time. Record your answers in Table C of your Student Guide.

The speed at the first quarter checkpoint is m/s.

The speed at the second quarter checkpoint is m/s.

The speed at the third quarter checkpoint is m/s

The speed at the finish line is m/s.

Answer:

Calculate the speed of the car at each checkpoint by dividing the distance between each checkpoint, in meters, by the change in time. Record your answers

A greater refractive index means that light will bend more when traveling through the material. It is also an indication of a material's optical density, which can affect the quality of light passing through it.

A greater refractive index means that light will bend more when traveling through a material. This is because the material has a higher optical density, which causes light to be refracted at a greater angle. This can be seen in the way that light will bend when it passes through a glass prism, for example. A higher refractive index also means that light will travel at a slower speed through the material, which can affect how the light is perceived. This can be beneficial for certain applications, such as in lenses and optical instruments, which rely on light being slowed down and refracted in order to create a desired effect.

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The pressure exerted on an object under 0.76 meters of mercury is 101,292.8 Pascals

Pressure is defined as force exerted per unit area.

P = F/A

Where:

F = force

A = area

In this case the force is the gravitational force or weight.

w = mg

where m = mass of the substance

Since mass is equal to density times volume:

m = ρ . V

Hence,

P = mgh/A = ρgh

Where:

ρ = density of the substance.

The parameters in the problem are:

ρ = density of mercury = 13,600 kg/m³

h = 0.76 meters

g = 9.8 m/s²

The pressure is:

P = 13,600 x 9.8 x 0.76

  = 101,292.8 Pascals

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If the scattering is to cause a 10.0 change in wavelength. The wavelength of the photon should be 2.65 x[tex]10^{-5}[/tex] nm.

In physics, a periodic wave's wavelength is the length that it repeats over in space. It is a characteristic of both traveling and standing waves as well as various spatial wave patterns. It is the separation between two wave points that are sequentially linked and in the same phase, such as two close-by zero crossings, crests, or troughs. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda, sometimes known as the "wavelength," is a typical way to depict it. Wavelength is commonly used to describe the sinusoidal wave envelopes, modulated waves, and waves produced by the interference of several sinusoids.

To find the wavelength of the incident photon in which results in scattering as :

The incident ray wavelength= [tex]\lambda[/tex]

The scatter ray wavelength= = 1.1 [tex]\lambda[/tex].

The wavelength is given using the equation of scattering as,

[tex]\lambda_{1} -\lambda=\frac{h}{m_{p}c }(1-cosx)[/tex]

Substituting as,

[tex]\lambda_{1} -\lambda=\frac{6.626\times 10^{-34}(1 - cos 180) }{1.6726\times 10^{-27}\times3\times 10^{8} }( 0.1\lambda)[/tex]=2.65

Hence, The wavelength in which scatters is 2.65x[tex]10^{-5}[/tex] nm.

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The potential W  for given positive charge moves in electric field is 7.388KJ. The Electric potential energy and kinetic energy at a point is 3.739KJ.

It is impossible to produce or destroy energy. The law of conservation of energy states that energy can only be changed from one form to another. For instance, when an object falls from a specific height, its potential energy is converted to kinetic energy, and the total mechanical energy is constant throughout.

Positive charge = 912.1C

Potential at point M = 8.10V

Change in Kinetic energy = amount of work done

Potential energy = charge x potential difference

                              = 912.1 x 8.10

                              = 7.388 KJ

The electric potential energy = the kinetic energy

                                                 = 912.1 x 4.10

                                                = 3.739 KJ

The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy.

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When you blow on your hands to warm them, you add kinetic energy to the air molecules, which in turn raise the temperature of the air near your hands. This increase in temperature causes the molecules to move faster and transfer energy to your hands, warming them up.

When you blow on a bowl of hot soup, you transfer the kinetic energy from your breath to the molecules of the soup, which cools down the soup by reducing its temperature. Since the molecules are moving slower than they would at a higher temperature, less energy is transferred to your hands as you touch it.

Answer:

a=3.5m/s^2

Explanation:

f=ma(f=force m=mass a=acceleration)

1575=450a

a=1575/450

a=3.5m/s^2

Answer:

3.5ms^-2

Explanation:

m = 450kg, F = 1575N, a = ?

Since F = ma

Making acceleration subject of the formula

We have;

a = F/m

Substituting we have;

a = 1575/450

a = 3.5ms^-2

Answer:

B. ability to react with oxygen

Explanation:

—Characteristics such as melting point, boiling point, density, solubility, color, odor, are PHYSICAL PROPERTIES.

—Properties that describe how a substance changes identity to produce a new substance are CHEMICAL PROPERTIES.

John Harrison invented the marine chronometer so navigators were able to measure their longitude at sea precisely.

John Harrison was a self-taught carpenter and watchmaker from England. He learned his craft independently. At that time there were many disasters at sea caused by bad navigation. The British Parliament also formed the Board of Longitude which was tasked with finding someone to develop the chronometer.

Harrison also volunteered to complete the project. The chronometer was completed in 1735. Harrison continued to make improvements to the chronometer. In 1762, a marine chronometer named H4 was completed. This chronometer is notable because, after a trip to Jamaica, it was shifted by at least five seconds (1 1/4′ of longitude).

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Tectonic plates move several centimeters each year because of convection within Earth.

Tectonic plates lie on top of partially molten layer of rock known as asthenosphere. Due to the convection of the asthenosphere and lithosphere, tectonics plates move relative to each other at different rates. Each year these plates moves from 2cm to 15cm or 1 inch to 6 inch.

The movement of plates take place because of heat from radioactive processes within the planet's crust. Thes plates move toward each other and sometimes away from each other.  These plates are large slab of rocks that divide earth's crust and remain move constantly to reshape the earth's landscape.

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a) The free body diagram of the ball attached.

b) The surface of the rump pushes the ball is mg ( cos35° + tan35° sin35°)

c) The tension on the wire is mg tan35°.

A free body diagram is a graphical representation used to show the applied forces, moments, and consequent reactions on a body. It shows a body or group of connected bodies along with all the applied forces and reactions that the body experiences.

According to the FBD,

mg sin35° = T cos 35°

T = mg tan35°.

And, N = mg cos 35° + T sin35° = mg ( cos35° + tan35° sin35°)

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The frequency change, in accordance with the presented description, is 636 Hz.

The quantity of occurrences of a recurring event per unit of time is its frequency. It is distinct from angular frequency, and for clarification, it is sometimes referred to as sampling rate. One occurrence per second, or hertz (Hz), is the unit of frequency.

Speed (v1) = 36 m/s

Speed (v2) = 45 m/s

Frequency (f) = 500 Hz

Speed of sound (s) = 343 m/s

We are aware of the modification of frequency formula, which

Frequency = s+v1/ s+v2(f) -------(1)

Put a value here and apply equation (1).

We'll use v2 = -45 since it's the other way.

Frequency = s+v1/ s-v2(f)

Frequency = 343+36 / 343-45(500)

Frequency = 636

Thus, the frequency shift is 636 Hz.

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The complete question is-

A truck moving at 36 m/s passes a police car moving at 45 m/s in the opposite direction. If the frequency of the siren relative to the police car is 500 Hz, what is the frequency heard by an observer in the truck after the police car passes the truck? (The speed of sound in air is 343 m/s.)

a). 396 Hz

b). 636 Hz

c). 361 Hz

d). 393 Hz

e). 617 Hz

The acceleration of the bike is given as 1.67 m/s^2.

We know that the acceleration has to do with the rate of the change of the velocity of the object with time and we can be able to obtain the acceleration by the use of the Newton second law and that would now be able to give;

F = ma

F = force on bike

m = mass of the bike

a = acceleration

Then we can be able to substitute the values and obtain.

a = F/m

a = 150 N/90 Kg

a = 1.67 m/s^2

Thus is it going to have an acceleration of 1.67 m/s^2.

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When a hair dryer is plugged into a switch, it begins to operate and converts electrical energy into heat energy. Because of this, the hair dryer produces hot air when we use it.

A atom's charged particles can move an item or start an action by using electrical energy. Electrical energy is produced by the transfer of electrons of one atom to another. A toaster or a phone charger is powered by electricity each time you plug them into a wall outlet.

Electricity is used by people as lighting, heating, cooling, & refrigeration as well as to run machines, computers, electronics, appliances, and public transit systems. In 2021, the United States consumed over 3.93 trillion kWh, which is 13 times more power than it did in 1950.

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Time for the bat and the ball to be in contact is 0.15 x 10⁻³ s.

Given;

mass of baseball, m = 0.15 kg

initial velocity of the baseball, u = 20 m/s

applied force in the opposite direction, F = -5000 N

final velocity in opposite direction, v = 20 m/s

impulse received by the body = change in momentum of the  body

Ft = Δmv

Ft = mv - mu

Ft = m(v-u)

t = m(v-u) / F

t = 0.15 ×10-³s

Therefore, the bat and the ball were in contact for 0.15 x 10⁻³ s

The ball flies off in the opposite direction from where it originally came from due to the momentum of the bat, as is typical in ball-bat collisions. When the bat weight is increased to 25 oz. and swung at the same speed, the bat momentum significantly increases, which raises the ball exit velocity.

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Arrays of radio telescopes can generate much better resolution compared to single-dish telescopes because they function based on the principle of interference.

An array of radio telescopes is a group of multiple radio antennas observing together creating, in effect, a single telescope several miles across. The use of arrays of radio telescopes combines the signals they receive from the same source allowing astronomers to increase the resolution power. It is because the arrays of radio telescopes work using the principle of interference.

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Answer:

1167 kg/m³

Explanation:

Density = Mass / Volume = 1400 kg/ (2 m × 3 m × 0.2 m) = 1167 kg/m³

As the point of contact between the wheel and the level road moves rearward tangentially, the frictional force must move forward.

Pure rolling refers to the motion of a round object when two bodies come into contact without any slippage or skidding. Consider a disc rolling without slipping on a flat surface as an illustration. The disc's point of contact with the ground is at rest.

The translatory motion is a sort of movement where each part of the body moves a fixed amount of space in a predetermined amount of time. Both rectilinear and curved translational motions are possible.

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Option D) is undergoing motion that can be described by the answers (A) or (C). The frictional force must move forward as the point of contact between the wheel and the level road moves rearward tangentially.

In physics, motion is the change in an object's position with respect to its surroundings during a predetermined period of time.

In physics, the position or orientation of a body affects how motion evolves over time. The act of moving along a line or curve is known as translation. Every spot on the body has an equal velocity (directed speed) and acceleration in every scenario (time rate of change of velocity). The most general kind of motion is produced by combining translation and rotation.

Every movement has a frame of reference at its core. describing a body's condition of rest.

We must give the study of motion the attention it deserves given the importance of motion in the physical world.

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"Microwave transmission systems are used for high volume, long distance, line-of-sight communications."

Microwave is a line-of-sight wireless communication technology that uses high frequency beams of radio waves to provide high speed wireless connections that can send and receive voice, video, and data information.

Due to their small wavelength and ability to be focused into narrow beams that may be targeted directly at the receiving antenna, microwave links are frequently employed for point-to-point communications. As opposed to lower frequency radio waves, which interfere with one other, this enables neighbouring microwave equipment to operate on the same frequencies.

Another benefit is that the microwave band has a very high information-carrying capacity due to its high frequency; its bandwidth is 30 times greater than that of the radio spectrum below it.

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No, if the lift is rated for weight of 8000 lbs, then the truck can not be lifted safely due to excess 500 lbs of truck weight.

To understand the ability of truck for safe lifting, we need to find the total weight of the truck being lifted. The total weight of truck being lifted will be the sum of weight of truck and weight of bed full of sod present in truck.

Keep the values in formula

Total weight = 5500 + 3000

Performing addition on Right Hand Side of the equation

Total weight = 8500 lbs

Excess weight = 8500 - 8000

Performing subtraction

Excess weight = 500 lbs

Thus, truck can not be lift safely due to extra 500 lbs.

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Electric field strength at (2.6m,1.7m) is 25.9 V/m

Therefore, the term E can be used to determine the electric field intensity at a place whose coordinates are (x,y) (x,y)

V=250 (V⋅m) /√(x²+y²),  

E = ∂V/∂x i + ∂V/∂y j

If I is a vector along the x axis, and j is a vector along the y axis, both of which are unit vectors because their magnitudes are one.

∂V/∂x = -250x

           (x²+y²)³²

         = (-250*2.6)/29.97

=>   -21.68

∂V/∂x = -250y

           (x²+y²)³²

         = (-250*1.7)/29.97

=>   -14.18

so E(2.1,3) = -21.68 i  -14.18 j

E=√(∂V/∂x i² + ∂V/∂y j²)

E= √(-21.68² + -14.18²)

E=√ (470+201)= 25.9

therefore, the electric field's strength at (2.6m,1.7m) =25.9 V/m

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A 1200 kg car moving 28 m/s decelerated until it stopped. The force of friction acting on the car is 714.9 N

Using the equation of motion:

v² = u² + 2ad

Where:

v = final velocity = 0 (since the car eventually stopped)

u = initial velocity = 28 m/s

a = acceleration

d = distance = 658 m

Hence,

0 = 28² + 2 x a x 658

a = - 0.596 m/s²  (minus sign denotes deceleration)

According to the Newton second law of motion:

F = m a

Where:

F = net force = friction force

m = mass of the car = 1200 kg

a =  0.596 m/s²

Hence, the friction force is:

F = 1200 x 0.596

 = 714.9 N

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