A person does work equal to 2500 J in climbing a tree of height 5 m. What is the mass of the person? The value of g = 9.8 ms². (1) 250 kg (3) 49 kg (2) 51 kg (4) 500 kg​

Velocity of the body is 6.32 m/s.

The energy possessed by an object by virtue of its motion is called kinetic energy.

Here,

The mass of the body, m = 5 kg

The kinetic energy of the body, KE = 100 J

The equation for kinetic energy,

    KE = 1/2 mv²    where v is the velocity of the body

    v² = 2x KE/m

    v² = 2x 100/5

    v² = 40

    v = \(\sqrt{40}\)

Therefore, Velocity, v = 6.32 m/s

Hence, velocity of the body, v is 6.32 m/s.

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Answer:

50% of source A, and 25% of source B.

Explanation:

You see, half-life of 10mil years means half of it will be gone in 10 million years. so basically, since source a is 10mil half life, half of it will remain, while source b, since it has 5 million years of half life, will have 25% left, since 1/2*1/2=1/4. hope this helps!

Answer:

source A 50%

source B 25%

Explanation:

Half life is time it takes for something to get reduced by half. For example, if half life of my weight is 5 years and I am currently 20lbs, then in next 5 years I will become half of my original so 10lbs.

Similarly, if compound A has half-life of 10 million years, then after 10 million years, half of compound A will remain, thus 50% remains

Compound b has half life of 5 million years, so first 5 million years it will reduce by half so become 50% but then in another 5 million years (total of 10 million years) it gets reduced by another half so 50/2 = 25% remains.

As energy is transferred through a wave, water particles are set in a circular motion that is option C.

Water particles start to travel up or down as they join a wave. The energy of movement, or kinetic energy, has therefore been transmitted to them. The particles slow down as they go upward or downward towards the wave crest or trough, respectively, from their usual location. The energy of particles in a wave oscillates between kinetic and potential energy, therefore this indicates that some of their kinetic energy has been transformed into potential energy.

The frequency and wavelength of a wave are both measures of its energy, however this varies depending on the type of wave.

The most energetic waves in water are those that move quickly and have a long wavelength, like a tsunami. As speed is constant for electromagnetic waves, the most energetic waves are those with a high frequency and a short wavelength (like X-rays).

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Answer:

divide

Explanation:

make sure u do good at it

Answer:

459.195 (N).

Explanation:

in order to calculate the required value of the Fₓ:

Fₓ=F*cos(37°); Fₓ=575*0.7986≈459.195 (N).

For more info see the attachment (note, the required force Fₓ is marked with red colour).

Answer:

A is the correct answer 0.158

158 Milligrams of salt are on the table there would be 0.158 grams of salt on the table, therefore the correct answer is option A.

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

As given in the problem 158 Milligrams of salt are on the table, then we have to find out how many grams of salt is on the table,

1000 milligrams = 1 gram

1 milligram = 1 / 1000 grams

158 milligram = 158 × 1 / 1000 grams

                      =0.158 grams

Thus, there would be 0.158 grams of salt on the table, the correct answer is option A.

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The question is incomplete the complete question is,

158 Milligrams of salt are on the table. How many Grams of salt is on the table?

a .158 g

b 1.58 g

c 15.8 g

d 1,580 g

Answer:

AD

Explanation:

electromagnetic waves do not need a medium to travel, examples are ultraviolet radiation and infrared radiation.

Answer:

A and D

Explanation:

Just did it

Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

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The elongated nucleus of our galaxy is responsible for generating a wide range of phenomena, including the influence of a supermassive black hole, star formation activity, and the production of synchrotron radiation. These processes are vital to understanding the overall structure, dynamics, and evolution of the Milky Way.

The nucleus of our galaxy, also known as the galactic center, is a region that plays a crucial role in generating various phenomena. Located approximately 26,000 light-years from Earth, it is thought to have an elongated shape rather than being perfectly spherical.

At the heart of the galactic nucleus lies a supermassive black hole called Sagittarius A* (Sgr A*). This black hole is responsible for generating intense gravitational forces, which influence the motion and behavior of surrounding stars, gas, and dust. Additionally, Sgr A* is a major source of X-ray and radio emissions, contributing to the overall energy output of the galaxy's core.

The galactic center also exhibits a high degree of star formation activity. Massive, young stars in this region emit intense ultraviolet radiation, which in turn ionizes the surrounding gas clouds. This process leads to the creation of H II regions, which are areas of glowing ionized gas. These regions not only serve as stellar nurseries but also contribute to the overall appearance and structure of the galactic nucleus.

Furthermore, the interaction of energetic particles, magnetic fields, and turbulent gas flows in the galactic nucleus generates synchrotron radiation, which is emitted at various wavelengths, including radio, infrared, and X-ray. This radiation is an important tool for astronomers to study the complex processes occurring within the core of our galaxy.

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Answer:

  96 m

Explanation:

The average velocity over those 4 seconds is the velocity after 2 seconds:

  30 m/s -(2 s)(3.0 m/s^2) = 24 m/s

The displacement is the product of this average velocity and the duration of the acceleration:

  d = (24 m/s)(4 s) = 96 m

The boat covered 96 m while being accelerated.

So, the coefficient of kinetic friction approximately 0.16.

Hi ! Here I will help you to solve the problem of the coefficient of kinetic friction. When an object moving on a rough surface, there will be a frictional force called kinetic friction. Remember that friction is also a force, but reduces the value of the force acting. Kinetic friction force is affected by the normal force (N) and the coefficient of kinetic friction. The greater the value of the normal force (N) and/or the coefficient of friction, the greater the value of the kinetic friction force. The normal force is also affected by the mass and the gravity acceleration [See the attached image to see the direction of the friction force].

For kinetic friction, there are the following equations that you will use in various problem conditions. However, the equation in the box is the formula you use for solve this problem.

\(\sf{\sum F = m \cdot a}\)

\(\sf{F - f_k = m \cdot a}\)

\(\boxed{\sf{\bold{F - \mu_k \cdot m \cdot g = m \cdot a}}}\)

With the following condition:

We know that:

What was asked ?

Step by step:

\(\sf{F - \mu_k \cdot m \cdot g = m \cdot a}\)

\(\sf{115.0 - \mu_k \cdot 25.0 \cdot 9.8 = 25 \cdot 3}\)

\(\sf{115.0 - \mu_k \cdot 245 = 75.0}\)

\(\sf{-\mu_k \cdot 245 = 75-115}\)

\(\sf{-\mu_k \cdot 245 = -40}\)

\(\sf{\mu_k = \frac{-40}{-245}}\)

\(\boxed{\sf{\mu_k \approx 0.16}}\)

So, the coefficient of kinetic friction approximately 0.16.

The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N

The gravitaional force between two objects can be obtained by using the following formula:

F = GM₁M₂ / r²

Where

The following data were obtained from he question:

The gravitaional force can be obtained as shown below:

F = GM₁M₂ / r²

F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²

F = 1.63×10³ N

Thus, the gravitational force is 1.63×10³ N

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Answer:

To control the speed of an electric motor without changing the voltage, you can send pulses of electricity to it. The faster and longer the pulses are, the faster the motor will spin. Alternatively, the voltage can be altered to speed it up or slow it down.

Explanation:

Answer:i would say measuring the speed of the tires

Explanation:

Answer:

more

Explanation:

the higher the density the more closely/tighter the particles in the object will be

Answer:

E = mc² relation between mass and energy

Explanation:

hope it will help you :)

Answer:

35m/s south

Explanation:

Answer:

It's C

Explanation:

Your welcome!

Answer:

The quantity of heat given to body depends on: (i) The mass of the body, (ii) The rise (or fall) in the temperature of the body, and (iii) Nature of the material of the body.

Explanation:

Hope this helps

have a great day

~Zero

Answer:

Smart Meters measure both the amount of electrical energy used and the time at which it is being used because they are used to monitor the energy consumption at real time, such that the time of use of energy can be monitored, thereby enabling several utility functions for load sharing and maintenance, including;

i) Time of use  tariffs, where energy is billed based on peak and off peak periods, which increases profits to the producer, reduces cost for some consumers, encourages more even hourly and daily usage of electricity, lower maintenance cost, lower capital expenditure for peak stations, and reduces carbon emission

ii) Guarantees more accurate energy consumption measurement and billing

iii) Accurate crew dispatch to fault locations

iv) Prevent fraud due to tampering with meter

v) Increase customer confidence in billing

Explanation:

  When U-236 undergoes fission and yields Ba-141 and Kr-92 as fragments, the number of neutrons released in this process is 3.

  In a nuclear fission reaction, the nucleus of an atom splits into two or more smaller fragments, along with the release of neutrons and energy. U-236 can fission into various fragments, but in this specific case, it yields Ba-141 and Kr-92.

   During the fission process, typically, multiple neutrons are released. These neutrons can go on to initiate further fission reactions in a chain reaction. The number of neutrons released can vary depending on the specific fission reaction and the conditions.

  In the given scenario, it is stated that Ba-141 and Kr-92 are the fragments. To maintain conservation of both mass and charge, three neutrons must be released in this process. This means that the fission of U-236 into Ba-141 and Kr-92 is associated with the release of three neutrons.

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The area (A) of the shaded region under the velocity vs. time graph is equal to 30 meters.

Velocity can be defined as the distance covered by an object per unit of time. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction. Also, velocity can be measured as meter per seconds.

A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.

By critically observing velocity vs. time graph (see attachment), we can infer and logically deduce that shaded region is a rectangle and as such its area is given by:

Area = length × breadth

Area = 0.6 × 50

Area = 30 meters.

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Answer:

the stars which are red in color are cool.

Explanation:

The stars which has reddish color are cool in nature while those stars which has white and blue in color are very hot in nature. The stars change its color when they becomes hotter , first the star color reddish when they are cool but with increasing temperature it changes the color from reddish to orange then yellow. After yellow it turns green and finally get blue color when the stars are very very hot.

An object is thrown upward from a height of 640ft with an initial velocity of 48f(t)/(s), the time take for the object to reach the ground is  1.5 seconds.

The given problem can be solved by using the formula for the time of motion of an object in free fall, i.e., t = (v-u)/g, where v is the final velocity, u is the initial velocity, and g is the acceleration due to gravity, which is equal to 32 ft/s². It is important to note that the initial velocity in this case is positive as the object is being thrown upwards.

The given initial velocity is 48 ft/s and the object is thrown upward from a height of 640 ft, so the initial displacement is also positive, i.e., s₀ = 640 ft.

The final velocity is 0 ft/s as the object comes to rest on the ground.

Therefore, using the formula, t = (v - u) / g⇒ t = (0 - 48) / (-32)⇒ t = 1.5 seconds.

So, the time taken by the object to reach the ground is 1.5 seconds.

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To solve this problem, we can use the principle of conservation of energy. The initial kinetic energy of the truck will be equal to the final potential energy gained as it moves uphill on the ramp. The gravitational potential energy gained by the truck can be calculated using the formula:

PE = m * g * h

Where:

PE is the potential energy,

m is the mass of the truck,

g is the acceleration due to gravity (approximately 9.8 \(m/s^2\),

h is the vertical height gained by the truck.

The vertical height gained by the truck can be calculated using the distance traveled along the ramp and the angle of inclination:

h = d * sin(θ)

Where:

h is the vertical height gained,

d is the distance traveled along the ramp, and

θ is the angle of inclination.

Substituting the given values into the equation, we have:

h = 163 m * sin(13.5°)

Now, we can equate the potential energy gained to the initial kinetic energy of the truck:

PE = KE

m * g * h = (1/2) * m * \(v^2\)

Where:

KE is the kinetic energy,

v is the initial speed of the truck.

Simplifying the equation and canceling the mass (m) on both sides:

g * h = (1/2) * \(v^2\)

Now we can solve for v:

v^2 = 2 * g * h

v = √(2 * g * h)

Substituting the known values:

v = √(2 * 9.8\(m/s^2\) * (163 m * sin(13.5°)))

Calculating this value, we find:

v ≈ 31.6 m/s

Therefore, the truck's initial speed was approximately 31.6 m/s when it pulled onto the runaway-truck ramp.

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Answer: Fn

Explanation: Because Fn is applying force upward

Answer:

13.33 seconds

Explanation:

At maximum height, the equation of motion becomes:

v = u + at

Since the object was thrown vertically, the initial velocity (u) is zero and the acceleration (a) becomes the acceleration due to gravity (10 m/s2). The equation becomes:

v = at

v = 480 km/hr = 133.333 m/s

    10t = 133.333

       t = 133.333/10

           t = 13.33 seconds.

The time for the ball thrown vertically with a velocity of 480 km/hr to reach the maximum height is 13.33 seconds.

The stability of an air mass can usually be determined by analyzing the vertical temperature profile and lapse rate within the air mass.

If the temperature decreases at a slower rate with increasing altitude (a condition known as a stable lapse rate), the air mass tends to be stable. This means that the air parcels within the mass have a tendency to resist vertical movement and remain in their current positions.

On the other hand, if the temperature decreases at a faster rate with increasing altitude (an unstable lapse rate), the air mass is more likely to be unstable. In this case, the air parcels are prone to rise rapidly, leading to the formation of clouds, precipitation, and potentially severe weather conditions.

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The stability of an air mass depends on its temperature, humidity, and the temperature gradient with the surface beneath it. Stable air masses are generally cool and dry while unstable ones are moist and warm.

The stability of an air mass can usually be determined by its temperature and its humidity. An air mass is considered stable if it's cool and dry, because these conditions discourage rising air currents and the formation of clouds and precipitation. Conversely, an unstable air mass is moist and warm because these conditions encourage ascending air and the formation of clouds and storms.

Another determining factor is the temperature gradient (difference in temperature) between the air mass and the surface underneath it. If the air mass is cooler than the surface, it is typically stable. If the air mass is warmer, it's usually unstable. Thus, the stability of an air mass is determined by temperature, humidity, and the temperature gradient with the surface below.

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The given statement " A higher frequency is often perceived as having lower pitch" is false. Because  pitch is closely related to the frequency of a sound wave - the higher the frequency, the higher the pitch.

Pitch is a perceptual characteristic of sound that relates to the frequency of a sound wave. Frequency is the number of cycles of a sound wave that occur in one second, measured in Hertz (Hz).

Higher frequencies have more cycles per second than lower frequencies. Therefore, when we hear a sound with a higher frequency, our brain interprets it as having a higher pitch.

It is possible that the question may have been asking about the perception of the amplitude (volume) of a sound wave. In this case, it could be true that a higher frequency sound is perceived as having a lower volume, as some frequencies may be less audible to the human ear. However, it is important to note that the original question was about pitch, not volume.

Therefore, the given statement is false

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Vitalpando Winery will need to promise an annual dividend of $330,000 if investors demand a return of 11% on their preferred stock. The dividend amounts for the other required return rates are as follows: $450,000 for 15%, $240,000 for 8%, $300,000 for 10%, $180,000 for 6%, and $90,000 for 3%.

To determine the annual dividend required to satisfy the investors' demands for different return rates, we need to multiply the number of shares by the desired return rate. In this case, the winery wants to sell one million shares of preferred stock.

For option (a), where the desired return rate is 11%, the calculation would be: $30,000,000 (total funds required) multiplied by 0.11 (11% expressed as a decimal) divided by 1,000,000 (number of shares). This results in an annual dividend of $330,000.

Similarly, for the other return rates, the calculations are as follows:

(b) $30,000,000 x 0.15 / 1,000,000 = $450,000

(c) $30,000,000 x 0.08 / 1,000,000 = $240,000

(d) $30,000,000 x 0.10 / 1,000,000 = $300,000

(e) $30,000,000 x 0.06 / 1,000,000 = $180,000

(f) $30,000,000 x 0.03 / 1,000,000 = $90,000

Therefore, the annual dividends required to satisfy the investors' demands for the different return rates are as stated above.

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