A bush baby, an african primate, is capable of leaping vertical to the remarkable height of 2.3 m. to jump this high, the bush baby accelerates over a distance of 0.16 m while rapidly extending its legs. the acceleration during the jump is approximately constant. what is the acceleration in m/s2 and in gâs

Answer:

It is called a metric system!

Explanation:

To find acceleration using time and distance, you determine the change in velocity and divide it by the time elapsed. You can also use the relationship distance = velocity x time, derived from speed = distance/time. The SI units for acceleration are m/s².

To find acceleration given time and distance, you need to understand the underlying physics principle - Newton's second law of motion. Here's a step-by-step process:

Therefore, with known values of time and distance, you can find the acceleration. Remember, the SI units for acceleration are m/s² (metres per second squared).

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The radius of the satellite's circular orbit is approximately 11,350,000 meters or 11,350 kilometers.

Given,

Mass of satellite = 6000 kg

Revolution time = 5700s

To determine the radius of the circular orbit of a satellite orbiting the Earth, the following equation based on the laws of circular motion can be used:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

Where:

r is the radius of the orbit

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹m³ kg⁻¹ s⁻²)

M is the mass of the Earth (approximately 5.972 × 10²⁴ kg)

T is the period of the orbit

Substituting these values into the equation:

[tex]r = (\frac{G \times M \times T^2}{4\pi^2})^{(1/3)}[/tex]

[tex]r = \frac{6.67430 \times 10^{-11} \times 5.972 \times 10^{24} \times (5700)^2}{(4\pi^2)^{(1/3)}}[/tex]

r = 1.135 × 10⁷ meters

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A)

The correct answer is All three bulbs will glow. Closing the circuit allows energy to flow through all three bulbs.

Answer:

Option A is the correct answer

Explanation:

Let i represent positive X axis ( east).

A truck moves 60 kilometers east from point A to point  B

       Displacement = 60 i km

       Distance = 60 km

At point B, it turns back west and stops 15 kilometers away from point  A

       Displacement = -45 i km

       Distance = 45 km    

Total

       Displacement =60 i - 45 i = 15 i km Towards east

       Distance = 60+ 45 = 105 km    

Option A is the correct answer

This statement is in-doubtingly true

It is true that Often what one expects to see influences what is perceived in the surrounding environment.

The environment can be defined as the sum of all living and non-living elements and their effects on human life.

Non-living or abiotic elements include water, land, sunlight, rocks, and air, while all living or biotic elements are animals, plants, forests, fisheries, and birds.

The noun surroundings can refer to the immediate environment, including all nearby objects, as well as the location itself and the circumstances or conditions in which you find yourself.

When someone constructs a house, the surroundings influence which direction it faces and how many windows it has.

What one expects to see frequently influences what one perceives in the surrounding environment.

Thus, the given statement is true.

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Final answer:

The maximum height reached by the projectile is approximately 35.77 meters.

Explanation:

To find the maximum height of a projectile, we can use the equation h = (v₂sin²Θ)/2g, where h is the maximum height, v is the initial velocity, Θ is the launch angle, and g is the acceleration due to gravity. In this case, v = 35 m/s and Θ = 32°. We need to convert the launch angle to radians, so Θ = 32° * (π/180°) = 0.558 radians.

Plugging the values into the formula, we get h = (35₂sin²(0.558))/(2*9.8) = 35.77 meters. Therefore, the maximum height reached by the projectile is approximately 35.77 meters.

Answer:

False

Explanation:

The density is mass divided by volume

Answer:

Explanation:8.0m/s

Nuclear power is particularly beneficial in areas with high population concentrations and where there are few other energy resources. Due to uranium's high energy efficiency, the environmental impact is minimized, and it's a carbon-free power source, helping combat global warming. However, its benefits need to be weighed against potential safety and sustainability risks.

In which situations is nuclear power most beneficial? Nuclear power is most advantageous in scenarios where there are few other energy resources and in high-concentration population centers. The benefits of nuclear energy over fossil fuels are numerous, particularly when it comes to the efficiency of uranium. This substance generates significantly more power per unit weight or volume than coal, meaning less material needs to be mined, thus reducing environmental impact. In addition, nuclear power does not emit carbon dioxide during operation, making it a strong contender for reducing global warming.

Contrary to the proximity of fossil fuel supplies, nuclear power does not rely on nearby sources of fossil fuels, making it beneficial for isolated locations where transportation of fossil fuels would be logistically challenging or expensive. Likewise, for areas with a high concentration of people, the scalability and high-energy yield of nuclear power can meet the substantial electricity demands more effectively. However, when it comes to regions with scattered populations such as few people in scattered towns, distributed generation technologies like solar and wind might be more suitable and cost-effective.

It is essential, however, to weigh these advantages against the sustainability and safety concerns associated with nuclear power. The production of dangerous waste that must be stored safely for thousands of years, the potential for nuclear proliferation, and the risk of accidental radiation leaks are crucial factors that need to be considered carefully by scientists, policy makers, and citizens alike.

Nuclear power is most beneficial in 1. if there is a high concentration of people, 3. if there is an isolated locations, and 4. if there are few other energy resources.

Nuclear power is beneficial in certain situations due to its capability to generate large amounts of energy without emitting air pollutants like fossil fuels. Here are the most suitable situations for nuclear power:

Other situations, such as having nearby supplies of fossil fuels or having few people in scattered towns, might not derive as much benefit from nuclear energy due to the cost and scale of nuclear power plants.

The correct explanation is that a wave is caused by a disturbance that transfers energy from one place to another without the transfer of matter.

A wave is a disturbance that travels through a medium or space, transporting energy from one location to another. The disturbance can be initiated by various sources.

For example, when a stone is dropped into a pond, the impact causes a splash and a series of ripples to move outward across the water's surface. These ripples are waves. Similarly, sound waves are caused by vibrations of objects, which create disturbances in the air, and seismic waves are generated by the sudden movement of rock within the Earth's crust.

 In all cases, waves are characterized by their ability to transport energy without the physical transport of the medium's particles. The particles of the medium (such as water, air, or rock) oscillate about their equilibrium positions as the wave passes through, and this oscillation is what carries the wave's energy.

The energy of the wave can cause subsequent particles to oscillate, thus propagating the disturbance through the medium.

The nature of the wave (whether it is transverse, longitudinal, or a combination of both) depends on the direction of the particles' oscillations relative to the direction of energy transfer.

In summary, the cause of a wave is an initial disturbance that sets particles of a medium into motion, creating a pattern that moves through the medium, carrying energy with it.

This disturbance can be the result of various forces or events, such as mechanical vibrations, gravitational pulls, or nuclear reactions, and the specific characteristics of the wave will depend on the properties of the medium and the nature of the disturbance.

Direct evidences are obtained rom the investigation area itself or directly from a sample under study and not from previous records or surveys.

Direct evidence is a type of proof that frequently utilizes the form of witness testimony or eyewitness narratives. When a witness states that they witnessed an accused person conduct a crime, overheard someone else say a certain word or words, or saw a certain act occur, these are examples of direct evidence.

The truth of an assertion is supported directly by direct evidence, i.e., without an intermediary inference. A witness describes what they personally saw or heard, but they may also use any other sense, such as scent, touch, or pain.

Other evidences collected from surveys,  or from previous records, hearing from indirect witness etc. are not take as direct evidences.

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The tennis ball will bounce to a height of approximately 1.828 meters after the third bounce when it loses 23.0% of its energy with each bounce starting from a height of 4 meters.

If a tennis ball is released from a height of 4 meters and bounces on the floor three times, each time losing 23.0% of its energy due to heating, we can calculate its height after the third bounce. The initial potential energy (PE) of the ball when released is converted into kinetic energy as it falls and then back into potential energy as it bounces upward. After each bounce, the ball retains only 77% (100% - 23%) of its energy because of the energy lost to heat. Therefore, after the third bounce, the ball has
(0.77)³ or about 45.7% of its original energy.

Here is the calculation to find the height (h) after the third bounce:

[tex]PE{initial }[/tex]= mg[tex]h_{initial}[/tex] = mg[tex]h_{final}[/tex]

[tex]h_{final}[/tex] = (0.77)³  h_initial

[tex]h_{final}[/tex] = (0.77)³
(4.0 m) = 0.457
(4.0 m) = 1.828 m.

The tennis ball will bounce to a height of approximately 1.828 meters after the third bounce.

Answer:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Explanation:

The work-energy theorem states that the amount of work done is equal to the variation of kinetic energy of the object, therefore:

[tex]W=K_f -K_i = \frac{1}{2}mv_f^2 -\frac{1}{2}mv_i^2[/tex]

Where:

m is the mass of the object

[tex]v_i[/tex] is the initial velocity of the object

[tex]v_f[/tex] is the final velocity of the object

We can calculate the velocity (v) of a wave by multiplying frequency (f) by its wavelength (λ). This can be said quantitatively as:

v = f × λ

Hope this helps! 

We can determine the velocity of a wave when given the frequency and wavelength is given.

A wave's frequency essentially indicates how frequently waves happen. In other words, frequency is the quantity of finished wave cycles in a given time interval or the quantity of waves passing a given place in a given time interval, such as per second.

High frequency waves are those that pass a certain place more frequently or that complete more cycles per second. Low-frequency waves travel farther and take longer to reach their destination.

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave.

We can determine the velocity of a wave when given the frequency and wavelength.

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Answer:

[tex]\rho_{stone} = \frac{56 g}{25 mL} = 2.24 g/mL[/tex]

Explanation:

Mass of the cylinder = 80 g

water added in the cylinder = 20 mL

mass of water + cylinder = 100 g

mass of water added = 100 g - 80 g = 20 g

density of water = [tex]\frac{mass}{volume}[/tex]

[tex]\rho = \frac{20 g}{20 mL} = 1 gm/mL[/tex]

now when stone is put into the cylinder then the volume reached to 45 mL

so volume displaced by the stone = 45 mL - 20 mL

V = 25 mL

mass of stone = 156 g - 100 g = 56 g

now density of stone is

[tex]\rho_{stone} = \frac{mass}{volume}[/tex]

[tex]\rho_{stone} = \frac{56 g}{25 mL} = 2.24 g/mL[/tex]

Final answer:

Collaboration and communication in science are key to disseminating research findings and advancing scientific knowledge. Through collaboration and peer review, scientific work is validated and can be further built upon. Effective communication also helps in securing funding and informing the public.

Explanation:

Collaboration and communication are crucial in science because they enable the dissemination of research findings and the advancement of scientific knowledge. Through collaboration, scientists can plan, conduct, and analyze research collectively, which enhances the quality and impact of their work. Effective communication is necessary for sharing results beyond the confines of conferences and meetings, achieving this through peer-reviewed publications. These publications undergo a process of peer review to ensure that the research is original, significant, logical, and thorough. This process also allows other scientists to reproduce the experiments and expand upon the findings, creating a foundation for further discovery and innovation.

Furthermore, effective communication skills are critical when interacting with funding agencies or the general public to convey the importance and relevance of scientific work. Without transparent communication and open collaboration, scientific progress would be stymied, and opportunities for new discoveries may be lost. Additionally, successful collaboration often relies on technology to bridge geographical distances, allowing for ongoing dialogue and exchange of ideas without the necessity of being in the same physical location.

The first movement of a classical symphony is typically composed in sonata form and features a fast tempo. The sonata form includes three sections: exposition, development, and recapitulation.

The first movement of a classical symphony is usually fast-paced and composed in a sonata form. Sonata form, also known as first-movement form, consists of three main sections: the exposition, the development, and the recapitulation. The exposition introduces the main musical themes, the development elaborates and changes these themes, and the recapitulation reprises these themes. This structure is often found in the first movements of classical symphonies, although there are exceptions.

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The number of protons and neutrons in its nucleus can be determined with the help of the following process:

Thus, the correct option for this question is C.

Protons may be defined as the type of subatomic particles that are significantly present in the nucleus of an atom along with neutrons. These subatomic particles are positively charged in nature. Protons were discovered by Ernest Rutherford.

An atomic number of an element may be characterized as the number of a chemical element in the periodic system, whereby the elements are arranged in order of increasing the number of protons in the nucleus.

The number of neutrons may be calculated with the difference between the mass number of the atom and the atomic number.

Therefore, the correct option for this question is C.

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Answer: D.

Explanation:   Orange, at 3 meters per second if you calculate the net force being applied to the system.

hope this helps! ✌

To find the coefficient of friction on a dry water slide, we use the fact that the bather takes one third the time to slide down when it's wet. This implies an acceleration due to friction, which we can relate back to the coefficient of friction using the right equations.

The student is trying to find the coefficient of friction on a dry slide. To do this, we need to use the equations for motion on an inclined plane. The two primary forces here are the gravitational force pulling the bather down the slide and the frictional force opposing this movement. The gravitational force, parallel component, is mg sinθ, while the frictional force is μmg cosθ. On a smooth slide, acceleration of a sliding body is given by g sinθ. When friction comes into play, the acceleration becomes g (sinθ - μ cosθ). Given that the bather's time on the slide is one third when it's wet (indicating friction is negligible), the frictional force on the dry slide was causing the bather to take three times longer due to hindrance.

To find the coefficient of friction μ, we can use these formulas. Since speed = distance/time and distance, on both wet and dry slide, stays the same, the time ratio should equate to the square root of the acceleration ratio. We can set up the equation as: √(1/3) = (sinθ - μ cosθ) / sinθ, and solve for μ.

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The total amount of energy remains constant in an isolated system. It implies that energy can neither be created nor destroyed, but can be change from one form to another.