a super man I sitting on a tree 98m high with a he has rescued from a claws of a tiger. unfortunately the child shift and falls with an initial velocity of 0m/s supposed reached what was happened 2 second later and flow to catch the child at a speed of 39.2m/s find the time super man will fly before catching the child, and the distance super man fly to catch the child​

Answer:

29.4 m.s

Explanation:

Vf = vo + at       v o = original velocity = 0 in this case

Vf = at

   = 9.81 m/s^2 * 3 = 29.4 m/s

Answer:

525 j

Explanation:

Work = force * distance

               350 N * 1.5 m =

The weight of the 100 kg object on the surface of the planet is approximately 8.9 × 10¹² Newtons.

To calculate the weight of a 100 kg object on the surface of a planet, we need to use the formula for gravitational force:

F = (G * M * m) / r²

Where:

F is the gravitational force (weight)

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹ N m²/kg²)

M is the mass of the planet (4.8 × 10²⁴ kg)

m is the mass of the object (100 kg)

r is the radius of the planet (diameter / 2)

Given that the diameter of the planet is 12,000 km, we can find the radius by dividing it by 2:

r = 12,000 km / 2 = 6,000 km = 6,000,000 m

Now, we can substitute the values into the formula:

F = (6.67430 × 10⁻¹¹ N m²/kg² * 4.8 × 10²⁴ kg * 100 kg) / (6,000,000 m)²

Simplifying the expression:

F = (6.67430 × 10⁻¹¹ N m²/kg² * 4.8 × 10²⁶ kg) / 36,000,000,000 m²

F ≈ 8.9 × 10¹² N

Therefore, the weight of the 100 kg object on the surface of the planet is approximately 8.9 × 10¹² Newtons.

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It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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It is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

Quantitative research is any type of investigation based on scientific variables that express their values as a continuous range of variation.

For example, there are genetic traits such as height and weight that show quantitative variation, thereby they need to be expressed as ranges.

In conclusion, it is important to be able to describe a system quantitatively because there exist many variables that show a continuous range of variation.

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The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.

Let's break down the distances and calculate the time for each part of the journey:

Distance from the student to the first cliff: 330 meters

Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second

Distance from the first cliff to the second cliff: 990 meters

Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds

Distance from the second cliff back to the student: 990 meters

Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds

Now, we can calculate the total interval between the first and second echo by adding up the individual times:

Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds

Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.

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Note the complete questions is:

A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?

Intuition involves relying on assumptions and beliefs about the world, whereas empirical observation involves making direct observations of the world.

Intuition refers to the process of using past experiences, beliefs, and assumptions to make quick, unconscious judgments or decisions about the world.

It is often associated with feelings or gut reactions and can be influenced by factors such as emotions, biases, and prior knowledge.

Empirical observation, on the other hand, refers to the process of gathering information about the world through direct sensory experience, such as seeing, hearing, touching, and measuring.

Empirical observations are the foundation of scientific inquiry as they provide the raw data that can be used to test and refine hypotheses and theories.

Unlike intuition, empirical observations are objective and uninfluenced by personal biases or assumptions.

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The speed of the wave from the calculation that we have done is 14 m/s

To find the wave speed, we need to know the frequency and wavelength of the wave. These values can be measured experimentally or calculated based on the properties of the medium through which the wave is traveling.

For example, the wavelength of a sound wave can be determined by measuring the distance between two consecutive points of maximum compression or rarefaction, while the frequency can be measured using a frequency meter or calculated based on the properties of the sound source.

We know that;

Frequency = 7 cycles/s

Wavelength = 2 m

Wave speed = λf

= 7 cycles/s * 2 m

= 14 m/s

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The bottom right picture that says “goal” is a reminder to stay focused on what you are striving to achieve. It is a visual representation of the end point of your journey.

Striving is the act of exerting effort, of pushing oneself to reach a goal. It is a conscious effort to achieve success, often through hard work and determination. Striving involves setting objectives, making plans to attain them, and then working to make those plans a reality. It also involves dealing with challenges or roadblocks that may arise along the way. Striving is a continuous process that requires dedication and resilience. It is often a difficult journey, but those who strive often find themselves achieving more than they ever thought possible. Striving can be applied to any aspect of life and is essential for personal growth and development.

It is a way to keep you motivated and remind you of why you are doing what you are doing. It is also a reminder to keep setting and reaching for your goals, no matter how difficult they may seem. By keeping your goal in mind, you can stay on track and continue working towards achieving it.

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Answer:

a = (V2 - V1) / t = (0 - 14.6) / 3 = -4.87 m/s^2

It might be useful to convert 14.6 m/s to mph

14.6 m/s * 39.37 in/m = 575 in /s

575 in/s / 12 in/ft = 47.9 ft/sec

47.9 ft/s / 88 ft/sec *  60 mph = 32.6 mph

Answer:

The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.

Explanation:

Volume of a Sphere

The volume of a sphere of radius r is given by:

\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)

The volume of each little sphere is:

\(\displaystyle V_l=\frac{4}{3}\cdot \pi\cdot 2^3\)

\(V_l=33.51\ mm^3\)

When the seven little spheres coalesce, they form a single bigger sphere of volume:

\(V_b=7*V_l=234.57\ mm^3\)

Knowing the volume, we can find the radius rb by solving the formula for r:

\(\displaystyle V_b=\frac{4}{3}\cdot \pi\cdot r_b^3\)

Multiplying by 3:

\(3V_b=4\cdot \pi\cdot r_b^3\)

Dividing by 4π:

\(\displaystyle \frac{3V_b}{4\cdot \pi}= r_b^3\)

Taking the cubic root:

\(\displaystyle r_b=\sqrt[3]{\frac{3V_b}{4\cdot \pi}}\)

Substituting:

\(\displaystyle r_b=\sqrt[3]{\frac{3*234.57}{4\cdot \pi}}\)

\(r_b=3.83\ mm\)

The surface area of the seven little spheres is:

\(A_l=7*(4\pi r^2)=7*(4\pi 2^2)=351.86\ mm^2\)

The surface area of the bigger sphere is:

\(A_b=4\pi r_b^2=4\pi (3.83)^2=184.33\ mm^2\)

The ratio between them is:

\(\displaystyle \frac{351.86\ mm^2}{184.33\ mm^2}=1.91\)

The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.

Answer:

0.198m

Explanation:

see picture for full solution

Answer:

Explanation:

There is no set way to do this. All you have to do is define left and right. Left will be minus and right will be the opposite --- plus.

That is completely arbitrary. It could be the other way around. It does not matter.

Left is minus so: - 600 N   is the force going left.

Right plus so: + 500 N

Now just add.

Net Force = +500 - 600

Net Force = - 100 N

So the Net Force is - 100 N going to the left.

Answer:

211,520 N/m^2

Explanation:

To calculate the gauge pressure at section 2, we can apply Bernoulli's equation, which states that the total energy of a fluid in a horizontal flow remains constant. Bernoulli's equation is expressed as:

P1 + 0.5 * ρ * u1^2 + ρ * g * z1 = P2 + 0.5 * ρ * u2^2 + ρ * g * z2

Given the information provided:

P1 = 200 kN/m^2

u1 = 5 m/s

d1 = 10 cm = 0.1 m (converted to meters)

d2 = 8 cm = 0.08 m (converted to meters)

z1 = z2 (since the tube is horizontal)

ρ = 960 kg/m^3 (density of the fluid)

We can calculate the velocity at section 2 (u2) using the continuity equation, which states that the mass flow rate is constant in an incompressible fluid:

A1 * u1 = A2 * u2

A1 = (π/4) * d1^2 (area at section 1)

A2 = (π/4) * d2^2 (area at section 2)

Substituting the values and solving for u2:

(π/4) * d1^2 * u1 = (π/4) * d2^2 * u2

(0.785) * (0.1)^2 * 5 = (0.785) * (0.08)^2 * u2

0.03925 = 0.03925 * u2

u2 = 1 m/s

Now we can substitute all the known values into Bernoulli's equation:

200 kN/m^2 + 0.5 * 960 kg/m^3 * (5 m/s)^2 = P2 + 0.5 * 960 kg/m^3 * (1 m/s)^2

Simplifying the equation:

200000 N/m^2 + 0.5 * 960 kg/m^3 * 25 m^2/s^2 = P2 + 0.5 * 960 kg/m^3 * 1 m^2/s^2

200000 N/m^2 + 12000 N/m^2 = P2 + 480 N/m^2

212000 N/m^2 = P2 + 480 N/m^2

P2 = 211520 N/m^2

Therefore, the gauge pressure at section 2 is 211,520 N/m^2.

The force formula can be rewritten  to solve the acceleration as:

acceleration = force/mass.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

From Newton's 2nd law of motion, we can write that:

Force = mass × acceleration

⇒ acceleration = force/mass.

Hence, the force formula can be rewritten  to solve the acceleration as:

acceleration = force/mass.

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Answer:

Explanation: The moon of the Earth is much lighter in mass than the planet itself. In addition to being smaller than Earth, the Moon is also only approximately 60% as dense. A human weighs less on the Moon because there is less gravitational attraction there than there is on Earth.

Moon has lesser mass as conpared to earth, therefore gravitational force exerted by moon on any object is lesser than that of gravitational force exerted by earth on the same object, hence we can say that astronauts weight less on moon, i.e approximately 1/6 th of their weight on earth.

Answer:

all are harmful to the body

Answer:

2.1 rad/s

Explanation:

Given that,

Mass of a tether ball, m = 0.546 kg

Length of a rope, l =  4.56 m

The maximum tension the rope can withstand before breaking is 11.0 N

We need to find the maximum angular speed of the ball. Let v is the linear velocity. The maximum tension is balanced by the centripetal force acting on it. It can be given by :

\(F=\dfrac{mv^2}{r}\\\\v=\sqrt{\dfrac{Fr}{m}} \\\\v=\sqrt{\dfrac{11\times 4.56}{0.546}} \\\\=9.584\ m/s\)

Let \(\omega\) is the angular speed of the ball. The relation between the angular speed and angular velocity is given by :

\(v=r\omega\\\\\omega=\dfrac{v}{r}\\\\=\dfrac{9.584}{4.56}\\\\=2.1\ rad/s\)

So, the maximum angular speed of the ball is 2.1 rad/s.

Answer:

19.6m/s

Explanation:

Given parameters:

Initial velocity  = 0m/s

Time  = 2s

Unknown:

Average velocity  = ?

Solution:

We can use the final velocity of the ball before landing to determines its average velocity ;

 Using;

              v  = u + gt

v is the final velocity

u is the initial velocity

g is the acceleration due to gravity

t is the time

              v  = 0 + 9.8 x 2 = 19.6m/s

It is simple to determine the size of the electric field by calculating the force per charge on the test charge. The standard metric units for electric field strength are derived from this concept.

Formulas for a vector's magnitude Magnitude Formula for a Vector with the Origin as the End Point. | v | = x 2 + y 2. When the starting points are (x1, y1) and the ending points are (x2, y2).

Equation E = kQ/r2 determines the size of the electric field (E) created by a point charge with a charge of magnitude Q at a point r distant from the point charge, where k is a constant with a value of 8.99 x 109 N m2/C2.

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a. Upthrust on the solid:

\(Upthrust = volume of solid * density of fluid * g = 1000 kg/m^3 * volume of solid * 10 m/s^2\)

b. Volume of the solid:

\(volume = mass/density = 1.3 kg / (1000 kg/m^3) = 1.3 x 10^-3 m^3\)

c. Density of the solid:

So,\(density = mass/volume = 1.3 kg / (1.3 x 10^-3 m^3) = 1000 kg/m^3\)

Upthrust is the upward force exerted on an object immersed in a fluid. It is equal to the weight of the fluid displaced by the object and acts in the opposite direction to gravity. Upthrust helps to counteract the weight of the object and keep it afloat.

a. The upthrust on an object immersed in a fluid is equal to the weight of fluid displaced by the object. The weight of fluid displaced can be calculated using the formula:

Weight of fluid = volume of fluid * density of fluid * g

Since the solid is completely immersed in water, the volume of the fluid displaced is equal to the volume of the solid. The density of water is given as 1000 kg/m^3, and the acceleration due to gravity is given as\(10 m/s^2.\)

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Answer:

B.lenses bounce light from their surface, mirrors do not

The first step towards a bill becoming a law is for the bill to be introduced in Congress.

Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.

After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.

In the next stage, the bill must go to the other chamber, to repeat the process.

After the bill is resolved in the conference committee, it goes to the president.

The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.

This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.

Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.

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Complete Question:

Use the drop down menus to complete the sentences.

The first step in a bill becoming a law is for the bill to be _____.

Next the bill goes to _____ to be marked up, dropped or sent to the floor.

After that, the bill is debated on the floor and can pass on a majority vote of ____.

In the next stage, the bill must go to the ____ to repeat the process.

After the bill is resolved in the ____, it goes to the president.

Answer:

I=0.02[amp]

Explanation:

Since the resistors are connected in series, we can find the total resistance.

\(Rt = 100 + 300+50\\Rt = 450[ohm]\)

Now we can use ohm's law which tells us that the voltage is equal to the product of resistance by the current.

\(V =I*R\\I=V/R\\I=9/450\\I=0.02[amp]\)

Answer:

waste

Explanation:

Nuclear power produces radioactive waste that can harm the human body. The material produced (usually from either U - 235 or U - 238 or some radioactive isotope) can be just as destructive to cells as in outer space.

These wastes don't directly emit greenhouse gases, but the material waste mist be disposed properly or it'll harm humans and other organisms.

Answer:

Explanation:

Let the weight of the truck be W . reaction force R = W

Maximum frictional force = μ R

= .8 x W

So for movement of truck

Pulling force = frictional force

10560 = .8W

W = 13200 N

weight of heaviest truck required = 13200 N .