6. A 10 kg bicycle and a 54 kg rider both have a velocity of 4,2 m.s¹ east. Draw momentum vectors for: a) the bicycle ​

The cannonball goes as high a s69.84 m and time took for the cannonball to reach the peak is 3.77 seconds.

The rate of change of relegation is haste & the rate of change of haste is acceleration. using these two statements we decide equations called kinematic equations.

dv = ds/dt , da = dv/dt.

Derive equations are:

v = u + at

2as = v²−u²

s = ut + 1/2at²

For max height use the formula

vf² = vo² + 2ad

At the max height, the velocity is zero, so...

(0) = (37)² + 2(9.8)(d)

d = 69.84 m

So, cannonball reaches the height of 69.84 m

For the time to get to that height, apply

vf = vo + at

0 = 37 + (9.8)(t)

t = 3.77 sec

Time for it to reach the peak is 3.77 seconds.

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If the height of the building is 449 m and ignoring air resistance then, 93.8m/s is the speed with which the penny strikes the ground.

What is air resistance?

A type of friction (a force that resists motion) that happens between air and another object is air resistance, commonly referred to as drag. When a thing travels through the air, it experiences force. The two constant natural forces that affect every item on Earth are air resistance and gravity.

For instance, air particles pressing on an aircraft as it soars through the air make it more difficult for the aircraft to move. A feather's ability to fall is significantly influenced by air resistance.

Steps for calculation:

[tex]v^2=u^2+2gS \\where u=0, 2g=9.8m/s^2 and S=449m[/tex]

[tex]We get,\\ v^2 =2*9.8*449m^2 /s^2\\ v=93.8m/s[/tex]

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The magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.

Convert the angular speed from revolutions per minute (rpm) to radians per second (rad/s).

1 revolution = 2π radians

ω = 3800 rev/min * (2π rad/rev) / (60 s/min) = 398.11 rad/s

[tex]\theta=\omega i t + (1/2)\alpha t^2[/tex]

where θ is the angular displacement, ω_i is the initial angular velocity, α angular acceleration, t time.

At the instant the centrifuge is switched off, its angular speed is 398.11 rad/s. Angular displacement is 48 revolutions * 2π radians/revolution = 301.59 radians.

[tex]\omega f = \omega i +\alpha t[/tex]

[tex]0 = -398.11 + \alpha t[/tex]

[tex]t = 398.11/\alpha[/tex]

[tex]θ = \omega_i t + (1/2)\alpha t^2[/tex]

[tex]301.59 = (-398.11)(398.11/\alpha) + (1/2)α(398.11/\alpha)^2[/tex]

Simplifying this equation, we get:

[tex]301.59 = -398.11^2/\alpha + 398.11^2/2\alpha[/tex]

Multiplying both sides by 2α and rearranging, we get:

[tex]\alpha = 2 * 398.11^2 / (301.59 + 398.11^2/\alpha)[/tex]

Solving for α, we get:

[tex]\alpha = 3.78 rad/s^2[/tex]

Therefore, the magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.

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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears the same brightness as star B.

The amount of energy that a star or other astronomical object emits is measured by its luminosity, which is typically expressed in terms of brightness. It depends on the star's surface area, temperature, and proximity to the observer. The evolution of a star and its ultimate fate are greatly influenced by its luminosity.

Two stars are therefore equally bright. Star A is three times farther away than star B. The brightness of star A and star B are comparable.

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When producing modest swings, the amplitude frequently has no impact at all on the pendulum's period. There is a tiny but insignificant rise in the period when the pendulum's amplitude is greater.

The distance to travel increases as the amplitude rises, but when the restoring force rises as well, the acceleration rises correspondingly.

This implies that the mass can move faster and cover a bigger distance. Since these qualities cancel one another, amplitude has no bearing on period.

A straightforward harmonic oscillator's period is independent of its amplitude. with the graphs of acceleration and velocity produced by the time derivatives. These oscillators also show how kinetic and potential energy can be transferred.

Therefore, the length of time is unrelated to the vibration's magnitude. Time period is unchanged by doubling the oscillation's amplitude.

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The frequency of the oscillation can be calculated as the inverse of the period: f = 1 / T = 1 / 4 units.

Based on the description, we can see that the waveform has a period of 4 units on the x-axis since it completes one full cycle over that distance.

Therefore, the frequency of the oscillation can be calculated as the inverse of the period:

f = 1 / T = 1 / 4 units

Expressing the frequency to two significant figures and including the appropriate units, we get:

f = 0.25 [tex]units^{-1}[/tex]

The frequency of this wave can be calculated by measuring the distance between two consecutive points of maximum amplitude, which in this case is one complete cycle.

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Answer:

The light bulb would flash on and then immediately shut off.

Explanation:

[tex]1.6 x 10^{-4} N[/tex] of magnetic force is exerted towards the Earth on wires carrying current. surface.  

What is magnetic force?

When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron. Among fixed electric charges, there are electric forces; among moving electric charges, there are both electric and magnetic forces. The influence of a magnetic field generated by one charge on another charge can be referred to as the magnetic force between two moving charges. The direction of the magnetic force acting on a moving charge is at a right angle to the plane formed by the direction of the charge's motion and the direction of the magnetic field around it.

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The centripetal force of the object with a mass of about 100g will be 31.42 Newtons.

A centripetal force is a net force which acts on an object to keep it in the state of motion along a circular path.

The angular velocity is defined as "the angle changing over time."

From the given of the problem:

m = 100g

rate of revolution = 50 rev / min

Therefore, using the formula:

angular velocity = rate of revolution x 2*pi / revolution

Angular velocity = (50 revs / min) x (2*pi radians / rev) = 100*pi radians / min

Centripetal force = mass × angular velocity

Centripetal force = 0.1 × 100π

Centripetal force =  31.42 Newtons

Therefore, the centripetal force will be 31.42 Newtons.

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The direction of the wind is largely influenced by the temperature differences in the atmosphere.

During the day, the sun heats up the Earth's surface, causing the air to warm and rise, leading to the formation of a low-pressure area. As the air rises, cooler air from higher atmospheric levels moves in to replace it, causing wind to blow towards the low-pressure area.

At night, the Earth's surface cools down, leading to a drop in temperature, and the air cools and contracts. The air near the ground becomes denser and heavier, causing a high-pressure area to form. The cool and dense air sinks, displacing the warmer air, and creating wind that blows from the high-pressure area to the low-pressure area.

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The required charge on the dielectric when current on it and time are specified is calculated to be 12 C.

The relation between current, charge and time is known to be,

i = q / t

where,

i is current

q is charge

t is time

Current on a dielectric is given as 4 A.

Time is given as 3 s.

Now, we should calculate the charge stored in the dielectric.

Making q as subject, we have,

q = i × t = 4(3) = 12 C

Thus, the required charge on the dielectric is calculated to be 12 C.

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Answer:

Explanation:Force applied by atmosphere = atmospheric pressure × ares of table

F=P×A

F=1.013×[tex]10^{5}[/tex] ×(2×1)=2.026×[tex]10^{5}[/tex]N

"If a meteor with a 20 m in diameter impacts Earth on land, approximately the crater is 200-400 m in diameter." Correct option is A.

A meteor is a small rock or piece of debris that travels through space and enters the Earth's atmosphere. When a meteor enters the Earth's atmosphere, it encounters friction and heat due to the atmospheric resistance, causing it to ignite and create a bright trail or shooting star in the sky. If a meteor is able to reach the surface of the Earth, it is called a meteorite.

When a meteor strikes a planet, there will almost certainly be a hole made at the site of impact. As the item moves more quickly, gets bigger, or is heavier, the crater will grow bigger. The meteor's mass and velocity are the best indicators of the magnitude of the impact crater.

The size of the crater created by a meteorite impact depends on many factors, such as the composition of the meteorite and the density of the material that it impacts. A crater with a dimension of 200–400 metres would be produced by a meteorite with a 20 m diameter.

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a. the average speed of the car is 15 m/s.

b. the car travels 60 meters in 4 seconds.  

c.  the constant acceleration of the car is 2 m/s².

d. we find the the final speed of the train as 25 m/s.

a)

We find the  total distance traveled by the car as:

0 + 2 + 8 + 18 + 32 = 60 meters.

Average speed = Total distance / Total time

= 60 meters / 4 seconds

= 15 m/s

b) The distance traveled by the car in 4 seconds =  total distance traveled

= 60 meters

c)

Acceleration = (Final velocity - Initial velocity) / Time

Acceleration = (Final velocity - Initial velocity) / Time

Acceleration = (8 m/s - 0 m/s) / (4 s - 0 s)

Acceleration = 8 m/s / 4 s

Acceleration = 2 m/s²

d.

Final velocity = Initial velocity + (Acceleration * Time)

Final velocity = 10 m/s + (1 m/s² * 15 s)

Final velocity = 10 m/s + 15 m/s

Final velocity = 25 m/s

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The name for a burst of activity on an EEG in the early stages of sleep is "sleep spindle".

A burst of brain activity during non-rapid eye movement (NREM) sleep is known as a sleep spindle and can be seen on an electroencephalogram (EEG). Although it can occur in other NREM sleep stages as well, it is a hallmark of Stage 2 sleep.

Sleep spindles are characterized by a burst of rhythmic brain activity that spans from 11 to 16 Hz and are short (often lasting only a few seconds). The thalamus, a region of the brain that is essential for transmitting sensory data to the cerebral cortex, is the source of this activity. The thalamus absorbs sensory input during sleep and modifies the information flow to the cortex, enabling the brain to filter out unimportant inputs and concentrate on significant ones.

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Each proton resonance (or peak) is divided into N+1 parts, where N is the number of non-equivalent surrounding protons to which the atom links. If no hydrogen atoms are nearby, the resonance will be a single peak (singlet, s)

Its low-resolution NMR spectra will have three peaks because the hydrogen atoms reside in three separate habitats. Because the ratio of hydrogen atoms in the various surroundings is 3:2:3, the ratio of peak areas will be 3:2:3. There are two peaks because the hydrogens are in two separate environments: in the CH3 group and connected to oxygen in the COOH group. They reside in various parts of the spectrum because they require somewhat varying external magnetic fields to achieve resonance at a certain radio frequency.

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Answer:107

Explanation:TOOK THAT

The depicted paths allow the positively charged particle at point a to travel to places b, c, or d. The electric field has the most influence over the particle along path a to b.

A charged particle is a particle that has an electric charge. The charge can be either positive or negative, and the unit of charge is the Coulomb. Charged particles can be found in nature and in man-made environments. For example, the nucleus of an atom contains positively charged protons, and electrons are negatively charged particles that orbit the nucleus. Other examples of charged particles include ions, which are atoms or molecules that have gained or lost one or more electrons, and free electrons, which are electrons that are not bound to an atom or molecule. Charged particles interact with electric and magnetic fields, and these interactions are fundamental to many areas of physics and engineering.

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The complete question is:

(Figure 1) shows four equipotential surfaces. The positively charged particle located at Point a can move to Points b, c, or d by the paths indicated. Along which path is the greatest work done on the particle by the electric field?

- Path a to b

- Path a to c

- The work done is equal along all three paths.

- Path a to d

The period of motion when the mass-spring system is displaced from equilibrium by 15.0 cm is 6.0 seconds.

The period of a mass-spring system is given by:

[tex]T = 2pisqrt(m/k)[/tex]

where m is the mass and k is the spring constant.

The period of motion is not affected by the amplitude (displacement from equilibrium) of the oscillation for small amplitudes. However, for large amplitudes, the period does depend on the amplitude.

To find the period when the system is displaced from equilibrium by 15.0 cm, we need to find the new value of k, which depends on the displacement.

When the system is displaced by 5.0 cm, we have:

[tex]5.0 cm = A = x_max[/tex]

where A is the amplitude and [tex]x_max[/tex] is the maximum displacement from equilibrium.

When the system is displaced by 15.0 cm, we have:

[tex]15.0 cm = A = x_max[/tex]

The new spring constant k' can be found by:

[tex]k' = m*(2*pi/T')^2[/tex]

where T' is the period of motion when the system is displaced by 15.0 cm.

The energy of the system is conserved, so the potential energy at the maximum displacement is equal to the kinetic energy at the equilibrium position.

At the maximum displacement, all of the potential energy is converted into kinetic energy, so:

[tex]1/2 k' A^2 = 1/2 k x_max^2[/tex]

Solving for k' and substituting into the expression for the period, we get:

[tex]T' = 2pisqrt(m/k') = 2pisqrt(m/(k*(A/x_max)^2))[/tex]

Substituting the given values, we get:

[tex]T' = 2pisqrt(m/k*(15.0 cm/5.0 cm)^2) = 6.0 s[/tex]

Therefore, the period of motion when the mass-spring system is displaced from equilibrium by 15.0 cm is 6.0 seconds.

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the spring constant was found to be as follows 61.74 N/m.

explain about spring constant ?

The spring constant, denoted by k, is a measure of the stiffness of a spring and is defined as the force required to extend or compress the spring by a certain distance. The formula for the spring constant is:

k = F / x

where F is the force applied to the spring and x is the resulting displacement. In this case, the spring extends by 10 cm when a mass of 630 g is attached to it, which means the displacement x is 0.1 m and the force F can be calculated as:

F = m * g

where m is the mass in kilograms and g is the acceleration due to gravity, which is approximately 9.8 m/s^2. Converting the mass of 630 g to kilograms gives:

m = 0.63 kg

So, the force F is:

F = 0.63 kg * 9.8 m/s^2 = 6.174 N

Now we can calculate the spring constant k:

k = F / x = 6.174 N / 0.1 m = 61.74 N/m

Therefore, the spring constant is 61.74 N/m.

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Pluto's orbit is much more eccentric and inclined compared to the orbits of the eight major planets in the solar system. This means that Pluto's orbit is more elliptical and tilted relative to the plane of the solar system, while the orbits of the major planets are generally more circular and on the same plane.


First, Pluto's orbit is much more eccentric (elongated) than the orbits of the other planets. This means that its distance from the Sun varies more dramatically over the course of its orbit. While the other planets have nearly circular orbits, Pluto's orbit is more oval-shaped.

Second, Pluto's orbit is also more inclined (tilted) relative to the plane of the Solar System. The eight major planets all orbit in roughly the same plane, but Pluto's orbit is tilted at an angle of about 17 degrees. This means that it sometimes travels above and below the plane of the Solar System during its orbit.

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Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.

The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10⁻¹⁹ Coulombs.

Rubbing the acetate strip with tissue paper transfers electrons from the tissue paper to the strip, giving the strip a negative charge.

When the negatively charged acetate strip is brought near a slow stream of running water, the water is attracted to the strip and bends towards it. This is because the water is polar, meaning it has a positive end and a negative end, and the negative end is attracted to the negatively charged acetate strip.

Predicted: When a charged vinyl strip is brought near the slow stream of water, the water should be attracted to the strip and bend towards it. This is because the vinyl strip is typically charged positively when rubbed with woolen cloth, so it will attract the negative end of the polar water molecules.

Rubbing the vinyl strip with a woolen cloth transfers electrons from the woolen cloth to the strip, giving it a positive charge. When the positively charged vinyl strip is brought near the slow stream of water, the water is indeed attracted to the strip and bends towards it, just as predicted.

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Fall height, h = 6.0 m

Initially, u = 12 m/s

Let,

The final speed is v be $

Now, according to the equation of energy conservation, = Initial total energy=Final total energy entails

1 /2  muΛ2+mgh= 1/ 2  mvΛ2\ indicates vΛ2 = uΛ2 + 2mgh \suggests vΛ2 = 12Λ2+2\ times 9.81 times\ 6.0\ implies v = 16.18 m/s$

The decision and practice of using less energy is known as energy conservation. Turning off the light when you leave a room, unplugging equipment when not in use, and walking instead of driving are all ways to save energy. Renewable energy sources are natural resources that can be transformed into these sorts of clean, useable energy: biomass, geothermal resources, sunshine, water, and wind. Bioenergy. Consuming less energy or reducing power consumption reduces the demand for energy production. There will be fewer carbon dioxide emissions, which will contribute to climate change. As a result, it will produce cleaner and healthier air.

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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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Chemical potential energy is decreased, electric energy is increased and thermal energy is increased. All the above is correct.

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Answer:

A pump draws water from reservoir A and lifts it to reservoir B as shown in Figure 4-10. The loss of head from A to 1 is 3 times the velocity head in the 150-mm pipe and the loss of head from 2 to B is 20 times the velocity head in the 100-mm pipe. Compute the horsepower output of the pump and the pressure heads at 1 and 2 when the discharge is: (a) 12 L/s; (b) 36 L/s.

Explanation:

Paki-check po kung tama, thank you :)

As one scale for another, both scales are connected. One unit on the Kelvin scale is equivalent to one degree on the Celsius scale. The zero points of the thermometer are the only distinction between these two scales.

Because the zero point is the absolute limit of how cold anything can become, the Kelvin temperature scale is also known as the absolute temperature scale. i.e., the temperature at absolute zero is  [tex]-273[/tex]Degrees Celsius (0 K).

Absolute zero (0 K) on the Kelvin scale is the temperature at which a gas's volume is zero. Since it is below zero on all temperature scales, it is the lowest possible temperature. Thus, -273.15 oC is the Kelvin scale's zero.

With the non-scientific temperature scales, absolute zero isn't even zero. The temperature is -273.15 degrees Celsius, or -459.67 degrees Fahrenheit.

Therefore, The kelvin scale has its zero set to absolute zero, which is the lowest possible temperature that exists in the universe.

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1) Solar energy

2) Mechanical energy

3) Electrical energy and light energy

4) Mechanical energy

5) Heat and light energy

6) Electrical energy

Energy transformation, also known as energy conversion, is the process by which energy is transferred from one form to another. Energy exists in many forms, including thermal energy, light energy, kinetic energy, potential energy, and chemical energy. In any energy transformation, the total amount of energy remains constant, but its form changes.

The efficiency of an energy transformation is the percentage of the input energy that is transformed into useful output energy. In some cases, some energy is lost as heat or waste, decreasing the overall efficiency of the transformation.

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2.34 C corresponds to[tex]2.34 x 10^6[/tex] Coulombs, which is equal to [tex]2.34 x 10^6 x 6.24 x 10^18[/tex]electrons, or 1.44e25 electrons.

Electron is a subatomic particle that is part of the atom. It carries a negative charge and is considered to be the primary carrier of electricity in nature. Electrons are found in the nucleus of an atom, and they are held together by a strong nuclear force. Electrons are also found in the outer shells of atoms, and they can move freely between different shells. Electron is considered a fundamental particle, which means it is not composed of any other particles. Electrons also have a mass of about 1/1836 of the mass of a proton. Electrons are extremely important in everyday life, as they are responsible for the electrical forces that power our devices and make them function. Electrons can also be used in various applications such as semiconductors, which are used in computers, cell phones, and other electronic devices.

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Once ice has been taken out of the freezer, its molecules start to travel more quickly when heat energy is supplied.

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