A 18.3 kg rock, m, is on the edge of a 105.4 m cliff, h, as shown in the picture. Assume that air resistance is negligible. The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?

Answer:

i. 6.923 V

ii. The e.m.f. = 22.5 V

Explanation:

i. The given parameters are;

Length of potentiometer = 1 m

The resistance of the potentiometer = 10 Ω

The e. m. f. of the attached cell = 9 V

The current, I flowing in the circuit = e. m. f/(Total resistance)

The current, I flowing in the circuit = 9 V/(10 + 3) = 9/13 A

The potential difference, p.d. across the 1 m potentiometer wire = I × Resistance of the potentiometer wire

The p.d. across the potentiometer wire = 9/13×10 = 90/13 = 6.923 V

ii) Given that the 1 m potentiometer wire has a resistance of 10 Ω, 75 cm which is 0.75 m will have an e.m.f. given by the following relation;

\(\dfrac{E}{R_{balance}} = \dfrac{V}{R_{cell}}\)

Where:

E = e.m.f. of the balance point cell

\(R_{balance}\) = Resistance of 75 cm of potentiometer wire  = 0.75×10 = 7.5 Ω

\(R_{cell}\) = Resistance of the cell in the circuit = 3 Ω

V = e.m.f. attached cell = 9 V

\(\dfrac{E}{7.5} = \dfrac{9}{3}\)

E = 7.5*3 = 22.5 V

The e.m.f. = 22.5 V

To levitate the foil, the laser beam must exert enough radiation pressure to counteract the force of gravity on the foil. This radiation pressure is proportional to the intensity of the laser beam, which can be related to its power using the formula:

power = intensity x area

Assuming that the laser beam is circular and has a radius r, the area it covers on the foil is πr^2. Therefore, the power needed to levitate the foil can be expressed as:

p = (mg) / (πr^2)

where m is the mass of the foil, g is the acceleration due to gravity, and π is a constant.

This expression shows that the power needed to levitate the foil is directly proportional to its mass, and inversely proportional to the area covered by the laser beam. This makes intuitive sense, as a larger laser beam will spread the radiation pressure over a larger area, making it less effective at levitating the foil.

In practice, other factors such as the reflectivity of the foil and the absorption properties of the laser beam will also affect the power required to levitate it. However, the above expression provides a good starting point for understanding the basic physics of laser levitation.

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The energy required to remove a proton from ¹⁵N₇ is 10.2046375 MeV.

What is proton?
Proton is a subatomic particle with a positive charge. It is found in the nucleus of an atom, along with neutrons. Protons have a mass of 1.0073 amu, and their charge is equal to the charge of an electron, but opposite in sign. The protons in an atom are responsible for the atom's atomic number, which is the number of protons in the nucleus. Protons are what makes atoms of different elements different from each other. For example, the element hydrogen has one proton in its nucleus and the element helium has two protons. Protons are also responsible for holding together the nucleus of an atom, as their positive charges repel each other and keep the nucleus together.

The reaction to remove the proton is given as follows :

¹⁵N₇  ---->   ¹⁴C₆  +  H

The mass of ¹⁵N₇   =  15.000109

the mass of ¹⁴C₆ = 14.003242

The mass of H = 1.007825

The energy requires to remove a proton is given as:

E = ( 14.003242 + 1.007825 - 15.000109) u

E = 0.010958 × 9312.5 MeV

E = 10.2046375 MeV

Thus, energy is required to remove a proton from ¹⁵N₇ with the masses of the atoms ¹⁵N₇, ¹⁴C₆ and H are 15.000109 u, 14.003242 u, and 1.007825 u, respectively is 10.2046375 MeV.

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Middle part of the ear have a solid medium. The ossicles, which are bones that amplify sound waves, are located in the middle ear, therefore the medium is solid.

The outer ear is the first place that sound waves pass through, followed by the middle ear and lastly the inner ear. The first medium is gas because the external auditory canal, which is part of the outer ear, is filled with ambient air.  The ossicles, which are bones that amplify sound waves, are located in the middle ear; therefore the second medium is solid. The last medium is liquid because the inner ear is loaded with fluids like endolymph and perilymph that vibrate when sound waves pass through them.

The middle ear amplifies sound after being directed toward it by the outer ear, which is in charge of catching it.  Amplified sound waves are sent from the middle ear to the inner ear, where hair cells detect the sound waves and transmit the data to the brain.

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Volume of tank=22.8

pressure=2.16*10^5

Temperature is a numerical expression of how hot a substance or radiation is. There are three different types of temperature scales: average-based scales like the SI scale.

The average kinetic energy of the particles in an object is measured by its temperature. The velocity of these particles likewise increases as the temperature rises. A thermometer or a calorimeter is used to determine the temperature.

The direction of heat transfer when two bodies with different temperatures are kept in touch depends on the temperature. The kelvin is the SI unit (K).

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Answer:

b, i think

Explanation:

Answer:

G M m / R^2      attraction of Jupiter to sun where m is mass of Jupiter

m V^2 / R      centripetal force acting on Jupiter

R = G M / V^2

The radius would be unchanged, and its orbit would be unchanged

More than one of the above. If an apple experiences a constant net force, it will have a constant acceleration. Its speed and velocity may change depending on the direction of the force.

If an apple experiences a constant net force, its acceleration will be constant. This means that the apple's speed and velocity can change over time. If the force acts in the same direction as the apple's initial motion, the apple's speed will increase. Conversely, if the force acts in the opposite direction, the apple's speed will decrease. The apple's position will also change over time due to its changing velocity. However, it's important to note that if the net force acting on the apple is zero, its speed, position, and velocity will remain constant due to the absence of acceleration.

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Answer:

d. sexual reproduction

Explanation:

A single cell divides to make two cells and these two cells then divide to: we call this process "cell division" and "cell reproduction," and there are two ways cells divide—mitosis and meiosis. This is all part of sexual reproduction.

Answer:

\(2.8\; {\rm s}\).

Explanation:

The velocity of vehicle \(2\) relative to vehicle \(1\) is:

\(\begin{aligned}& \text{velocity of 2 relative to 1} \\ =\; & (\text{velocity of 2 relative to ground}) \\ &- (\text{velocity of 1 relative to ground}) \\ =\; & 33\; {\rm m\cdot s^{-1} - 28\; {\rm m\cdot s^{-1}} \\ =\; & 5\; {\rm m\cdot s^{-1}} && (\text{to the east})\end{aligned}\).

The displacement of vehicle \(2\) relative to vehicle \(1\) is currently \(0\; {\rm m}\). The rate at which this displacement increases is equal to the velocity of vehicle \(2\!\) relative to vehicle \(1\!\), which is \(5\; {\rm m\cdot s^{-1}}\).

Thus, it would take \((14 \; {\rm m}) / (5\; {\rm m\cdot s^{-1}}) = 2.8\; {\rm s}\) for this displacement to reach \(14\; {\rm m}\).

Answer:

Explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\ \)

From the question we have

\(density = \frac{10.5}{19.3} \\ = 0.54404145...\)

We have the final answer as

Hope this helps you

Answer:

At point A, the comet has the least kinetic energy because the comet is resting. 3. From point B to point D its orbit's potential energy is decreasing and its kinetic energy is increasing meaning it's moving more and more

Sirius, the brightest star in the night sky, is actually a binary star system. Sirius A is a main-sequence star, and Sirius B is a white dwarf. Nearly all the visible light we see from Sirius comes from Sirius A. But when we photograph the system with X-ray light, as shown , Sirius B is the brighter of the two stars because As a white dwarf, Sirius B is much hotter than Sirius A and thus emits more X-rays.

Sirius is a binary star system made up of two stars called Sirius A and Sirius B.  Sirius A is the larger and more massive star, while Sirius B is a smaller, denser, and hotter white dwarf. Sirius A is a main-sequence star, similar to our Sun, while Sirius B is the remnant of a star that has exhausted all of its nuclear fuel and has collapsed down to a dense core.

Although Sirius A is much brighter than Sirius B in visible light, as mentioned, Sirius B is actually the brighter of the two stars when observed in X-ray light. This is because as a white dwarf, Sirius B has a much smaller surface area than Sirius A, but is much hotter and therefore emits more energy per unit area.

The high temperature of Sirius B's surface causes it to emit a significant amount of X-ray radiation, which is why it appears brighter than Sirius A in X-ray images of the system.

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The probable question may be:

sirius, the brightest star in the night sky, is actually a binary star system. sirius a is main-sequence star and sirius b is a white dwarf. nearly all the visible light we see from sirius comes from sirius a. but when we photograph the system with x-ray light, as shown here, sirius b is the brighter of the two stars. why?

Positive torque causes clockwise rotation, nonzero force applied on a rod will result in a nonzero torque unless the force is applied at the pivot point.

a. True. According to convention, a positive torque is the one that causes clockwise rotation, while a negative torque is the one that causes counterclockwise rotation.

b. False. For a nonzero force applied on a rod, its torque cannot be zero unless the force is applied at the pivot point of the rod. Torque is calculated as the product of the force and the perpendicular distance from the pivot point (moment arm) to the line of action of the force. If the force is not applied at the pivot point, the moment arm will not be zero, resulting in a nonzero torque.

c. True. The moment arm for a force and the line of action for the same force will always be perpendicular. The moment arm is the shortest distance between the line of action of the force and the pivot point, and it is perpendicular to the line of action.

d. True. In this context, the statement is true. The equation τ = F * l represents the calculation of torque, where τ is the torque, F is the magnitude of the force, and l is the moment arm (the distance from the pivot point to the point of force application on the rod).

e. True. An object with no net torque applied to it will not experience angular acceleration. According to Newton's second law for rotational motion, the net torque acting on an object is directly proportional to its angular acceleration. If there is no net torque (sum of all torques is zero), the object will not experience angular acceleration.

f. False. Force is a vector quantity, meaning it has both magnitude and direction. Torque, on the other hand, is a vector quantity as well since it involves the cross product of force and moment arm. It has both magnitude and direction, making it a vector too.

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Answer:

Potential energy is energy that is stored in an object or system. It remains unaffected by the environment outside of the object or system. Kinetic energy is the energy of an object or a system's particles in motion.

Explanation:

Answer:

The answer is density

Explanation:

They density of the air is what makes a difference.

The final speed of the train after 42 minutes is 90 km/h

We are provided with acceleration, initial speed and time after which final speed is to be found

Let us consider the motion of the train to be in one dimension

Then, formulas of one dimension can be applied to find the final speed.

Let the initial speed of the train be 'u'

Let the final speed of the train be 'v'

Let the acceleration due to gravity be 'a'

Let the time take to reach the speed 'v' be t

Now, as per the data given,

u=55km/h

acceleration due to gravity= 50km/h^2

Time taken, t= 42 minutes

Now as we can see that all units are in km/h, time must also be in hour

As we know that 1 hour= 60 minutes

therefore, 42 minutes= 42/60=7/10= 0.7 hour

Now using the formula v = u +at

v =  u +at

v = 55 + 50 x 0.7

v = 55 +35 = 90 km/hr

Hence, the final speed of the train after 42 minutes is 90 km/h

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c)5A

Explanation:

As,

\(I = \frac{P}{V} = \frac{1000}{220} = 5\)

The nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.

Nuclear fission is a nuclear reaction in which the atomic nucleus of a heavier element disintegrates or splits to produce two or more atoms of elements with smaller nuclei.

The nuclear fission reaction in which a neutron is used to bombard the nucleus of Uranium-235 atom to produce Barium-141, Krypton-92 and 3 neutrons is given below

\(_{235}U + \: _{1}n^{o} \rightarrow \: _{141}Ba+ \: _{92}Kr + 3 \: _{1}n^{o} \)

Therefore, the nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.

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The equation given as:

\(\(\[ \gamma_{d}\)

=\(\frac{G_{s} \gamma_{w}}{1+e} \]\)\)

needs to be rewritten in terms of 6. We know that e = 2.71 approximately,  the equation in terms of 6 is:

\(\(\[\gamma_d = \frac{6G_s\gamma_w}{22.26}\]\)\)

This new equation gives the value of γd in terms of 6.

so we will substitute this value in the equation to get:

\(\[\gamma_d = \frac{G_s\gamma_w}{1+2.71}\]\)

Simplifying the expression by adding the denominator terms and getting a common denominator, we get:

\(\(\[\gamma_d = \frac{G_s\gamma_w}{3.71}\]\)\)

Now, we can divide both sides of the equation by 3.71 to isolate γd on one side and write the equation in terms of 6, as follows:

\(\[\gamma_d\)

\(= \frac{G_s\gamma_w}{3.71} \times \frac{6}{6}\] \[\gamma_d \(\)

\(= \frac{6G_s\gamma_w}{22.26}\]\)\)

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Answer:

The answer of this question is =1.258*10-4

No, it is not necessary to limit the charge of your device to 60% when gaming. When it comes to gaming, it is recommended to charge your device between 40-90%.

This is because if your device is fully charged, it may reduce the lifespan of your battery and make it more vulnerable to heat-related damage.

As for light tasks such as web browsing and email, it is best to keep your device's charge between 30-60% in order to maximize battery life.

When it comes to gaming, you should make sure your device is not exposed to extremely high temperatures or charged beyond the recommended range.

Overcharging can damage the battery and lead to overheating which can reduce the performance of your device.

It is important to check the power settings of your device to ensure that your device is not wasting too much power. You can do this by going to the Settings of your device and accessing the Battery menu.

From there you can check what apps are draining the most power and set up the device to reduce power usage.

It is important to maintain the charge of your device in the recommended range while playing games, between 40-90%.

Doing so will help ensure the longevity of your battery and reduce the risk of heat-related damage. Additionally, you should keep an eye on your power settings to ensure that your device is not wasting too much power.

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The force that pushes groundwater from pore space to pore space when below the water table is primarily due to the pressure gradient within the aquifer. This pressure gradient is caused by the weight of the overlying water and the force of gravity.

Below the water table, the spaces between soil or rock particles are filled with water. These spaces are known as pore spaces. The water table represents the upper surface of the saturated zone, where all the pore spaces are filled with water. gravity acts vertically downward, causing the weight of the water above a particular point to exert a downward force. As a result, the water pressure increases with depth. This increase in pressure creates a pressure gradient within the aquifer.

The pressure gradient drives the flow of groundwater from areas of higher pressure to areas of lower pressure. When a well is drilled into the aquifer below the water table, water will naturally flow into the well and rise to the level of the water table. This is because the pressure is higher below the water table compared to the lower pressure in the well.

The movement of groundwater from pore space to pore space occurs due to the pressure difference between adjacent spaces. Water will flow from areas of higher pressure to areas of lower pressure until the pressures equalize. This movement of water is known as groundwater flow or hydraulic conductivity.

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This might be a cytoskeleton

Explanation:

Because within the cytoplasm there is network of protein fibers known as the cytoskeleton. This structure is responsible for both cell movement and stability.

The force needed to keep the space shuttle moving at constant speed is 0.

The given parameters;

The mass of the space shuttle is calculated as follows;

\(W = mg\\\\m = \frac{W}{g} \\\\m = \frac{750,000}{9.8} \\\\m = 76,530.61 \ kg\)

The force needed to keep the space shuttle moving at constant speed is calculated as follows;

\(F = ma\)

\(F = 76,530.61 \times a\)

where;

a is the acceleration of the space shuttle

At a constant speed, acceleration is zero.

F = 76,530.61 x 0

F = 0

Thus, the force needed to keep the space shuttle moving at constant speed is 0.

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The following values indicates the amount of work the net force acts on a 5 kg object, speeding the object up from 2.0 m/s to 6.0 m/s that performs on the object = 80 J (option C)

The amount of work performed by the net force on the object can be calculated using the formula:

W = F x d

Where:

W is the work (J)

F is the net force (N) and

d is the displacement of the object (m)

We can also use the formula for kinetic energy to find the amount of work performed.

KE = ½ mv²

The change in kinetic energy of the object is equal to the work done on it.

Initial kinetic energy

=  ½ x 5 kg x (2.0 m/s)²

= 10 J
Final kinetic energy

= ½ x 5 kg x (6.0 m/s)²

= 90 J
Hence, the change in kinetic energy (work done) = Final kinetic energy - Initial kinetic energy

= 90 J - 10 J

= 80 J

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Answer:

The data that we have is:

Initial height = 2m

Initial vertical speed: As the sister is only pushed, we can assume that we do not have initial speed in the vertical axis.

Then at the beginning, we only have potential energy, that (using the water as the zero in our axis) can be written as:

U = m*g*h

where m is the mass of your sister, g is the gravitational acceleration, and h is the initial height:

h = 2m

g = 9.8m/s^2

Now, when your sister is about to touch the water, all the potential energy has be transformed into kinetic energy:

K = (m/2)*v^2

Then we have, at that moment:

K = U

(m/2)*v^2 = m*g*h

We want to solve this for v, that is the velocity.

v = √(2*g*h) = √(2*9.8m/s^2*2m) = 6.26 m/s

So the speed at which your sister hits the water is 6.26 m/s

Answer:

For the first one shown, the answer is Directly Proportional, The second one is Inversly Proportional, and the last is fourtl times the original value

Yes the motion is accelerated.

We have a artificial satellite that moves at a steady 25,000 km/hr in a circular orbit around earth.

We have to determine whether or not it is accelerated.

An artificial Satellite is a man - made artificial body placed in orbit round the earth or moon or another planet in order to collect information or for communication.

According to the question -

v = 25000 km/hr

Now for the motion to be accelerated the velocity must change with respect to time. But, the velocity here is constant. It should be kept in mind that the velocity is a vector quantity, its magnitude is constant but its direction keeps on changing in circular motion, and hence, its acceleration also changes.

Hence, yes the motion is accelerated.

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