any two masses will be

a) The pressure at 4.5 m below the surface is 19620 Pa.

(b) The pressure at 5.5 m below the surface is 9810 Pa.

c)  The closer spacing of the bands near the base ensures that the tower is strong enough to withstand the higher pressure.

The pressure at a certain depth in a liquid depends on the density of the liquid and the depth. The pressure at a point below the surface of a liquid can be found using the equation:

P = ρgh

where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the depth.

(a) The pressure at 4.5 m below the surface can be calculated as follows:

P = ρgh

P = (1000 kg/m³) × (9.81 m/s²) × (6.4 m - 4.5 m)

P = 19620 Pa

Therefore, the pressure at 4.5 m below the surface is 19620 Pa.

(b) The pressure at 5.5 m below the surface can be calculated as follows:

P = ρgh

P = (1000 kg/m³) × (9.81 m/s²) × (6.4 m - 5.5 m)

P = 9810 Pa

Therefore, the pressure at 5.5 m below the surface is 9810 Pa.

(c) The metal bands on the water storage tower are more closely spaced near the base of the tower because the pressure at the base is higher than at the top. The bands provide additional support to the tower, preventing it from collapsing due to the higher pressure at the base. The closer spacing of the bands near the base ensures that the tower is strong enough to withstand the higher pressure.

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When the net force exerted on each car is identical. after 10 seconds, the amount of momentum is same for all cars.

The change in momentum is equal to the product of impact force applied while colliding and time for that impact.

F. t = m (Vf -Vi)

where, Vf is the final velocity and Vi is the initial velocity.

For car X, Fx x t = Mx Vx

For car Y, Fy x t = My Vy

For car Z, Fz x t = Mz Vz

The force applied is same for all and the the time is also same equal to 10 seconds. The impulse is same for all the cars.

Thus, the three cars have same momentum.

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Answer:

Explanation:

Cosmologists refer to a "surface of last scattering" when the CMB photons last hit matter; after that, the universe was too big. So when we map the CMB, we are looking back in time to 380,000 years after the Big Bang, just after the universe was opaque to radiation. But the CMB was first found by accident.

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The distance the bicyclist would travel during the time of the race is  32.5 m.

The distance the bicyclist would travel during the time of the race is calculated by applying the following formula as shown below.

s = ( v + u ) / 2 x t

were;

The distance travelled by the bicyclist is calculated as follows;

s = ( 0 m/s  + 26 m/s ) / 2  x ( 2.5 s )

s = 32.5 m

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The complete question is below:

If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 26m/s, how far would she travel during this race if the total time is 2.5 seconds?

We will have the following:

The reason behind these materials being used to specifically protect against electrical hazards is that, they are insulators, at least to some degree; this means that when electricity enters in contact with the material it has trouble moving through and thus protects the user from the electricity (To certain degree).

Using similar triangles, we can set up the following proportion:

height of tree / length of tree's shadow = height of flagpole / length of flagpole's shadow

Plugging in the values we know:

6 / 4 = x / 50

Solving for x:

x = 75

Therefore, the flag pole is 75 meters long.

To find the height of the flag pole, we can use similar triangles. The tree and its shadow form one triangle, while the flag pole and its shadow form another. Since the two triangles are similar, we can set up a proportion: the height of the tree over the length of its shadow is equal to the height of the flag pole over the length of its shadow. We can then cross-multiply and solve for the height of the flag pole. Specifically, we can write 6/4 = h/50, where h is the height of the flag pole, and solve for h. This gives us h = 75 meters, so the height of the flag pole is 75 meters.

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Newton’s law of motion can be divided by three types that is 1st law, 2nd law and 3rd law and it is law of gravity. The three laws are simple and sensible.

The first law states that a force must be applied to an object in order to change its velocity. When the object’s velocity is changing that mean it is accelerating, which implies a relationship between force and acceleration.

The second law, the acceration of an object is directly proportional to the net force acting on it and is inversely proportional to its mass. The direction of the acceleration is in the direction of the acceleration is in the direction of the net force acting on the object.

Finally, the third law, whenever we push on something, it pushes back with equal force in the opposite direction.

Explanation:

Distance is the length of the path traveled.  Displacement is the difference between the final position and initial position.

Distance = 224 m + 156 m + 84 m + 248 m = 712 m

Displacement = 224 m − 156 m + 84 m − 248 m = -96 m

Displacement = 96 m westward

Answer:

hi = 12mm or 1.2cm

Explanation:

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A slide projector has a magnification of 50. 12mm or 1.2cm.

Bringing an object as close to the eye as feasible when wishing to observe an object's details is instinctual. The angle that an object subtends at the eye increases with proximity to the eye, making it appear larger.

However, if an item is too near, the eye will no longer be able to generate a distinct image. The creation of a "virtual image" that may be comfortably observed is made possible by the use of a magnifying lens between the observer and the object.

The magnifier should be positioned exactly in front of the eye to provide the clearest image possible. Once a clear image of the thing is present, the object of interest is brought closer to the eye.

Therefore, A slide projector has a magnification of 50. 12mm or 1.2cm.

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As the distance from a charged particle, "q", increases, the electric potential decreases.

The electric potential between particles is the work done in moving a unit charge from infinity to a certain point against the electrical resistance of the field.

V = Kq/r

where;

Thus, from the formula above, as the distance from a charged particle, "q", increases, the electric potential decreases.

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FULL SOLUTION BELOW THE PIC.

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The right end of the conductor will be positive.

What is charging by conduction ?

The charging by induction process is where the charged particle is held near an uncharged conductive material that is grounded on a neutrally charged material. The charge flows between two objects and the uncharged conductive material develop a charge with opposite polarity.

When an uncharged object is placed very close to a charged conductor without touching, the nearer end acquires a charge opposite to the charge on the charged conductors and the two bodies attract. This is called charging by induction. The net charge on the bodies remains the same and body is charged until they are kept close or brought in contact.  

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Answer:

divide the number of times the event occurs by the length of time.

Explanation:

Answer:

IndoorAtlas' location technology is partly inspired by evidence that animals use the Earth’s magnetic field

not only for orientation detection but also for true navigation (Boles et al. 2003, Wlitschko et al. 1972,

Maugh et al. 1982, Mouritsen et al. 2004, Mora et al. 2004). Some animals, such as spiny lobsters, are not

only able to detect the direction of the Earth's magnetic field they can even sense their true position relative to

their destination. This means these particular animals are able to derive positional information from local cues

that arise from the local anomalies of the Earth's magnetic field.

1

Modern buildings with reinforced concrete and steel structures have unique, spatially-varying ambient

magnetic fields that can be used for positioning, in much the same way (albeit on a much smaller spatial

scale) as animals use the Earth's magnetic field. In principle, a non-uniform ambient magnetic field

produces different magnetic observations, depending on the path taken through it.

In IndoorAtlas' location technology, anomalies

(fluctuations) of ambient magnetic fields are

utilized in indoor positioning. This has been

facilitated by modern smartphones and the rapid

development of sensor technology. The image

on the right shows an example of indoor

magnetic fields present in modern buildings

(Time Warner Center, New York, US, June 2012).

Explanation:

The solidification of the planet's liquid iron core, according to scientists, is what drives the Earth's magnetic field today. The surrounding liquid iron is stirred up as the core cools and crystallizes, generating strong electric currents that produce a magnetic field that extends far into space.

Mathematically, the magnetic field is represented as a vector field. This vector field can be easily visualized as a collection of several vectors laid out in a grid. Each vector has a length based on the strength of the magnetic field and points in the same direction as a compass would.

Animals have been shown to use the Earth's magnetic field for genuine navigation as well as orientation sensing, which provided some of the inspiration for Indoor Atlas' locating technology. Some species, like spiny lobsters, can feel their actual position to their destination and the direction of the Earth's magnetic field. This indicates that these specific animals can gather location information from local cues that result from nearby magnetic field abnormalities.

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The 4.0 kg block attached to the 20 N/m spring constant spring moves with an amplitude of 6.0 meters on the frictionless horizontal surface, oscillating between -6.0 m and 6.0 m.

The amplitude of a simple harmonic motion is the maximum displacement of the object from its equilibrium position. In this case, the 4.0 kg block is attached to a spring with a 20 N/m spring constant, and it moves on a frictionless horizontal surface. The block oscillates between -6.0 m and 6.0 m.

The total range of motion for the block is the difference between the maximum and minimum displacement, which is 6.0 m - (-6.0 m) = 12.0 m. To find the amplitude, we need to calculate half of this range since the amplitude is the maximum distance from the equilibrium position.

So, the amplitude of the motion is 12.0 m / 2 = 6.0 m.

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Answer:

it's gravitational potential energy would have converted to kinetic energy half way back when it's falls

Answer:

Once you have drawn the free-body diagram, you can use vector addition to find the net force acting on the object. We will consider three cases as we explore this idea:

Case 1: All forces lie on the same line.

If all of the forces lie on the same line (pointing left and right only, or up and down only, for example), determining the net force is as straightforward as adding the magnitudes of the forces in the positive direction, and subtracting off the magnitudes of the forces in the negative direction. (If two forces are equal and opposite, as is the case with the book resting on the table, the net force = 0)

Example: Consider a 1-kg ball falling due to gravity, experiencing an air resistance force of 5 N. There is a downward force on it due to gravity of 1 kg × 9.8 m/s2 = 9.8 N, and an upward force of 5 N. If we use the convention that up is positive, then the net force is 5 N - 9.8 N = -4.8 N, indicating a net force of 4.8 N in the downward direction.

Case 2: All forces lie on perpendicular axes and add to 0 along one axis.

In this case, due to forces adding to 0 in one direction, we only need to focus on the perpendicular direction when determining the net force. (Though knowledge that the forces in the first direction add to 0 can sometimes give us information about the forces in the perpendicular direction, such as when determining frictional forces in terms of the normal force magnitude.)

Example: A 0.25-kg toy car is pushed across the floor with a 3-N force acting to the right. A 2-N force of friction acts to oppose this motion. Note that gravity also acts downward on this car with a force of 0.25 kg × 9.8 m/s2= 2.45 N, and a normal force acts upward, also with 2.45 N. (How do we know this? Because there is no change in motion in the vertical direction as the car is pushed across the floor, hence the net force in the vertical direction must be 0.) This makes everything simplify to the one-dimensional case because the only forces that don’t cancel out are all along one direction. The net force on the car is then 3 N - 2 N = 1 N to the right.

Case 3: All forces are not confined to a line and do not lie on perpendicular axes.

If we know what direction the acceleration will be in, we will choose a coordinate system where that direction lies on the positive x-axis or the positive y-axis. From there, we break each force vector into x- and y-components. Since motion in one direction is constant, the sum of the forces in that direction must be 0. The forces in the other direction are then the only contributors to the net force and this case has reduced to Case 2.

If we do not know what direction the acceleration will be in, we can choose any Cartesian coordinate system, though it is usually most convenient to choose one in which one or more of the forces lie on an axis. Break each force vector into x- and y-components. Determine the net force in the x direction and the net force in the y direction separately. The result gives the x- and y-coordinates of the net force.

Example: A 0.25-kg car rolls without friction down a 30-degree incline due to gravity.

We will use a coordinate system aligned with the ramp as shown. The free-body diagram consists of gravity acting straight down and the normal force acting perpendicular to the surface.

We must break the gravitational force in to x- and y-components, which gives:

F_{gx} = F_g\sin(\theta)\\ F_{gy} = F_g\cos(\theta)F

gx

​

=F

g

​

sin(θ)

F

gy

​

=F

g

​

cos(θ)

Since motion in the y direction is constant, we know that the net force in the y direction must be 0:

F_N - F_{gy} = 0F

N

​

−F

gy

​

=0

(Note: This equation allows us to determine the magnitude of the normal force.)

In the x direction, the only force is Fgx, hence:

F_{net} = F_{gx} = F_g\sin(\theta) = mg\sin(\theta) = 0.25\times9.8\times\sin(30) = 1.23 \text{ N}F

net

​

=F

gx

​

=F

g

​

sin(θ)=mgsin(θ)=0.25×9.8×sin(30)=1.23 N

Answer:

a)    I = 13.38 kg m / s, b)    F = 1,373 10³ N

Explanation:

The impulse is given by the relation

          I = ∫ F dt = Δp

          I = p_f -p₀

          I = m (v_f - v₀)

take the ball's exit direction as positive, whereby the ball velocities

v₀ = -90mph, the final velocity v_f = + 54 m / s

Let's reduce the units to

         I = 0.142 [54- (-40.23) ]

      the SI system

        v₀ = - 90 mph (1609.34 m / 1 mile) (1h / 3600 s = -40.23 m / s

        m = 142 g (1kg / 1000) = 0.142 kg

we calculate  

          I = 0.142 [54- (-40) ]

          I = 13.38 kg m / s

b) let's use the definition of momentum

         I = ∫ F .dt

         I = F ∫ dt

         F = I / t

         F = 13.38 / 0.008

         F = 1,373 10³ N

states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

Answer:

The moon doesn’t have light of its own, the moon lights up because of the sun. So at night, as the light of the sun doesn't reach the grass directly because of the moon, it doesnt reflect any color off the grass, and so our eyes detect grass as black.

Explanation:

Sun appears white, but it is made up of the colors: red, orange, yellow, green, blue, indigo, and violet. When white light hits an object, it absorbs some colors and reflect the others. Grass appears green because it absorbs all the wavelengths except green. Green is reflected off the grass, so we see grass as green.

Answer:

The Kilogram

Explanation:

The S.I. Unit for mass is the Kilogram, also given by: (kg)

Answer:Kilogram (kg) I hope this helps you out

Explanation:

The SI unit of mass is the kilogram (kg). One kilogram is defined as the mass of a specific platinum-iridium alloy cylinder kept at the International Bureau of Weights and Measures in France.

The kilogram is often used to measure the mass of objects in physics, engineering, and everyday life. It is a fundamental unit of measurement in the International System of Units (SI) along with other base units like meter (for length) and second (for time).

Answer:

7.5 m

Explanation:

Therefore, even though Europa has a diameter that is only one-fourth that of Earth, her ocean may hold twice the amount of water as Earth's seas do.The immense and unfathomably depths ocean of Europa is regarded as the best area to look for life outside of Earth.

As a result of the liquid water's close proximity to the silicate mantle, Europe is one of the finest options for habitability.The amount of radiation that strikes the moons from Jupiter is a crucial component in determining whether or not they are habitable.

Europa would need to contain the necessary chemical components for life's chemistry in order to be potentially habitable.These include the frequently occurring elements carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur, which are thought to have been present on Europa at the time it originated.

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Answer: the displacement is 0

Explanation:

Displacement is defined as the difference between the final position and the initial position.

now, one time period is defined as the time that the pendulum needs to do a full cicle (so after one time period, the position of the pendulum returns to the same place) this means that the final position and the initial position is the same, then the displacement is 0.

Diagram (c) represents the force between the two charges. Like charges repel, each other, and unlike charges repel each other.

The electric force between the two charges is directly propotional to the product of the charge and inversly propotional to the square of the distance between them.

The electric force is found as;

\(\rm F = \frac{K q_1q_2}{r^2}\)

Like charges repel, each other, and unlike charges repel each other. Both the charge is of the opposite sign they attract each other.

Hence diagram (c) represents the force between the two charges.

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Blue light will scatter more compared to red light.

Blue light has a short wavelength; red light a longer wavelength. The sky looks blue because blue light is scattered far more than red light, owing to the shorter wavelength of blue light.

Scattering of light is the phenomenon in which light rays deviate from their original path upon striking an obstacle like dust, gas molecules or water vapors. Scattering of light gives rise to many spectacular phenomena such as Tyndall effect and the red hues that can be seen at sunrise and sunset.

Some example of scattering of light that we come across in day-to-day life are: Blue colour of the sky: Out of the seven components present in sunlight, blue colour is scattered the most by the particles present in the atmosphere and hence, the sky appears blue.

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The observation of a gibbous Venus through the telescope proved that the Ptolemaic model was incorrect.

In the Ptolemaic model, which was the prevailing geocentric model of the universe in ancient times, it was believed that all celestial bodies, including the planets, orbited around the Earth in perfect circles. According to this model, the size and shape of the planets' orbits remained constant.

However, with the invention of the telescope and advancements in observational astronomy, scientists like Galileo Galilei began to make detailed observations of celestial objects. One of Galileo's significant observations was the observation of Venus through a telescope.

Therefore, the observation of a gibbous Venus through the telescope played a crucial role in refuting the Ptolemaic model and supporting the heliocentric model of the solar system.

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Answer:

11.25 m

Explanation:

From the question given above, the following data were obtained:

Spring constant (K) = 1.2 N/m

Energy (E) = 76 J

Compression (e) =?

Energy stored in a spring is given by the following equation:

E = ½Ke²

Where:

E => Energy stored in the spring.

K => spring constant

e => Extention or compression

With the above formula, we can obtain how much the spring has been squashed as follow:

Spring constant (K) = 1.2 N/m

Energy (E) = 76 J

Compression (e) =?

E = ½Ke²

76 = ½ × 1.2 × e²

76 = 0.6 × e²

Divide both side by 0.6

e² = 76 / 0.6

Take the square root of both side.

e = √(76 / 0.6)

e = 11.25 m

Thus, the spring has been squashed by 11.25 m