A planet has mass M = 8.00 × 1023 kg. At what distance will the centripetal acceleration of an orbiting space station be equal to the gravitational acceleration on Earth’s surface? (G = 6.67 × 10–11 m3·kg–1·s–1)answer is 2.33 x10^6 m. Can someone show the work on how to get this answer?

Answer:

Ek = Ekv + Ekh = 4.101 + 0.914 = 5.015J

Explanation:

A 0.0780 kg lemming runs off a 5.36 m high cliff at 4.84 m/s. What is its potential energy (PE) when it lands

The potential energy PE, relative to the ground, will be zero, because the lemming is at the ground level.

HOWEVER, a much better question would be:

A 0.0780 kg lemming runs off a 5.36 m high cliff at 4.84 m/s. What is its kinetic energy (KE) when it lands?

Let’s review the 4 basic kinematic equations of motion for constant acceleration (this is a lesson – suggest you commit these to memory):

s = ut + ½at^2 …. (1)

v^2 = u^2 + 2as …. (2)

v = u + at …. (3)

s = (u + v)t/2 …. (4)

where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.

In this case, u = 0, a = 9.81m/s^2, s = 5.36m

So we find v using equation (2)

v^2 = u^2 + 2as

v^2 = 0 + 2(9.81)(5.36) = 105.1632

So the kinetic energy resulting from the vertical drop is Ekv = ½mv^2

Ekv = ½(0.078)(105.16) = 4.101J

BUT we need to add in the kinetic energy resulting from the horizontal velocity, which did not change during the vertical drop.

Ekh = ½(0.078)(4.84^2) = 0.914J

So the total kinetic energy is Ek = Ekv + Ekh = 4.101 + 0.914 = 5.015J

The potential energy of the object with a mass of 0.0780 kg  moving from a height of 5.36 m is 4.09 J.

Potential energy of an object is generated by virtue of its position at a height from the ground. It is stored in the object when it is at rest, Whereas,  kinetic energy is generated by virtue of the motion of the body.  These energies are together called mechanical energy of the object.

When the object starts moving from rest, its potential energy starts to convert into kinetic energy and when it stops the reverse occurs . The potential energy of  a body is dependant on its mass and height by the equation:

p = mgh

Given that, mass of the object = 0.078 kg

height  h = 5.36 m

acceleration due to gravity g = 9.8 m/s²

then potential energy p = 0.078 × 9.8 m/s² ×5.36 m = 4.09 J

Therefore, the potential energy of the lemming is 4.09 J.

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This question is incomplete because the options are missing; here is the complete question:

A runner starts at point A, runs around a 1-mile track, and finishes the run back at point A. Which of the following statements is true?

A. The runner's displacement is 1 mile.

B. The runner's displacement is zero.

C. The distance the runner covered is zero.

D. The runner's speed was zero.

The answer to this question is B. The runner's displacement is zero

Explanation:

Displacement always implies a change of position; this means an object or individual moves from point A to point B, and therefore the original position is different from the final position. Additionally, in displacement, other related factors such as the total distance the body moved and the direction of movement. In the case presented, it can be concluded there was no displacement or the displacement is zero because even when the runner moved and ran two miles, he returned to the initial position, and without a change in the position, there is no displacement.

Answer:

it is transverse wave

I know this because there is crest and trough where as longitudinal wave has compression and rarefraxtion

Answer:

 v₀ = 11.72 m / s

Explanation:

This is a missile launch exercise. Let's write the relations for the final position

        x = v₀ₓ t

        y = \(v_{oy}\) t - ½ g t²

Let's use trigonometry to find the initial velocities

      sin 45 = v_{oy} / v₀

      cos 45 = v₀ₓ / v₀

      v_{oy} = v₀ sin 45

     v₀ˣ = v₀ cos45

we substitute

      x = v₀ cos 45 t

      y = v₀ sin 45 t - ½ g t²

     in this equation system we have two unknowns and two equations for which it can be solved, let's substitute the values

     7 = v₀ 0.707 t

     3.5 = v₀ 0.707 t - ½ 9.8 t²

we clear the time in the first equation and substitute in the second

     3.5 = v₀ 0.707 (7 / v₀ 0.707) - 4.9 (7 / v₀ 0.707) 2

     3.5 = 7 - 480.345 / v₀²

      480.345 / v₀² = 7-3.5

      v₀² = 480.345 / 3.5

      v₀ = √ 137.24

      v₀ = 11.72 m / s

Explanation:

A. Up along the page

Using the law of the right hand

Answer:

Ver respuesta en el procedimiento

Explanation:

En este caso, necesitamos la expresión que nos permite hallar el Trabajo realizado por un objeto a través de una distancia dada. Esa expresión es:

W = F * x   (1)

Donde:

W: Trabajo en Joules (J)

F: Fuerza en Newton (N)

x: Distancia o radio en metros (m)

En este caso, solo tenemos una masa de 800 lb, y la distancia que se esta recorriendo. No tenemos ningún dato adicional que nos diga si por ejemplo, es empujado por una persona o parecido, solo los datos de la masa que lleva la carreta. Por lo tanto, la única fuerza que podemos asumir se está ejerciendo, sería la fuerza del peso del objeto que se calcula así:

P = mg   (2)

Donde:

g: aceleración de gravedad (9,8 m/s²)

Ahora bien si reemplazamos (2) en (1) nos queda:

W = mgx  (3)

Y antes de realizar el cálculo debemos convertir la unidad de masa en libra a kilogramo, usando la siguiente conversión:  1 lb -----> 0,454 kg por tanto:

m = 800 * 0,454 = 363.2 kg

Ahora podemos usar (3) y calcular el trabajo:

W = 363,2 * 9,8 * 100

W = 355936 J o simplemente 355,936 kJ

Espero te sirva.

PD: También puedes usar el valor de gravedad como 10 m/s² y tendrás un resultado de 363200 J o 363,2 kJ.

Answer:

f = 459.8 Hz

Explanation:

When a trumpet is playing it is an open tube at both ends, therefore there is a belly in each one, the resonance occurs to

           λ = 2L             1st harmonic

           λ = 2L /2        2nd harmonic

           λ = 2L /3       3rd harmonic

the speed of the wave is

           v = λ f

           λ = v / f

we substitute in the third harmonic

            \(\frac{v}{f} = \frac{2L}{3}\)            (1)

            L = \(\frac{3}{2} \ \frac{v}{f}\)

            L = \(\frac{3}{2} \ \frac{343}{ 510}\)

            L = 1.009 m

indicates that to  add ΔL = 0.110 m, so the total length is

            L_total = L + ΔL

            L _total = 1.009 + 0.110

            L _total = 1,119 m

we use equation 1

            f =  \(\frac{3}{2} \ \frac{v}{L_{total}}\)

            f = \(\frac{3}{2} \ \frac{343}{1.119}\)

            f = 459.8 Hz

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

To determine the acceleration due to gravity on the distant planet, we can follow these steps:

1. Find the time period (T) of one oscillation:
Since the pendulum completes 100 oscillations in 360 seconds, the time period for one oscillation is:
T = 360 s / 100 oscillations = 3.6 s

2. Use the formula for the period of a simple pendulum:
T = 2π√(L/g)
where L is the length of the pendulum (1.20 m) and g is the acceleration due to gravity.

3. Solve for g:
Square both sides of the equation:
T² = 4π²(L/g)
Now, isolate g:
g = 4π²L/T²

4. Substitute the known values:
g = (4 * π² * 1.20 m) / (3.6 s)²
g ≈ 9.8 m/s²

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

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The molar mass of a compound can be found by adding the molar masses of all of the atoms in the compound.

The molar mass of an atom can be found on the periodic table by looking at the atomic mass listed for that element.

For example, to find the molar mass of water (H2O), we would add the molar masses of two hydrogen atoms (2 x 1.01 g/mol) and one oxygen atom (16.00 g/mol) to get a total molar mass of 18.02 g/mol.

Another way is by finding the molecular formula of the compound, it can be done by analyzing the compound's chemical and physical properties and then using the mass spectrometer to determine the molecular weight.

In conclusion, the molar mass of a compound can be found by adding the molar masses of the atoms in the compound using the atomic masses listed on the periodic table, or by determining the molecular formula of the compound and using a mass spectrometer to find the molecular weight.

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The condition under which a system of forces is reduced to a single force is - One can replace the force - couple system at O by a single force R acting along a new line of action if R and vector M₀ are mutually perpendicular.

What is a force?

Hence, the only condition is if R and vector M₀ are mutually perpendicular, then the system of forces can be reduced to a single force.

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Answer: The answer is B, Globular Cluster.

Explanation: Why did you delete my answer?? Anyways...

A Globular cluster has hundreds of thousands to millions of stars. Since a Globular Cluster is found to be the cluster with the most stars in it, therefore, the globular cluster is the answer.

The Globular cluster type of star system has the most stars.

It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.

Our Solar System is based on a heliocentric model in which the Sun is assumed to reside at the central point of the planetary system.

In other words, the Sun is at the center while the Earth and other planetary bodies revolve around it.

The star system that has the most stars is known as a globular cluster.

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Answer:

1. the pencil would have the momentum and would keep going until it hits the windshield. 2. when the car suddenly accelerates, the pencil would be inert and it would move toward the back of the car until a constant speed from the car is reached.

Answer:

I can msg it toyou

------->------>---->

Explanation:

Answer:

positive acceleration.

Explanation:

As its slowing down gradually, its positive acceleration. When the ball slows down, its acceleration vector is in the opposite direction of its motion. Therefore positive acceleration.

A restoring force and an equilibrium position are closely related. The restoring force is responsible for bringing an object back to its equilibrium position when it is displaced.

When an object is in its equilibrium position, it experiences a net force of zero. This means that the forces acting on the object are balanced, resulting in a stable position. However, if the object is displaced from its equilibrium position, a restoring force comes into play. The restoring force is a force that acts in the opposite direction of the displacement, aiming to restore the object back to its equilibrium position.

Mathematically, the restoring force is proportional to the displacement from the equilibrium position. It follows Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. This relationship is given by the equation F = -kx, where F is the restoring force, k is the spring constant (a measure of the stiffness of the system), and x is the displacement from the equilibrium position.

In summary, a restoring force and an equilibrium position are related in that the restoring force acts to bring an object back to its equilibrium position when it is displaced. This force is proportional to the displacement and follows Hooke's Law for systems like springs.

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The cotton will fall slower than the heavy stone of same mass because of the density of the substances, which affects air resistance.

Air resistance is the action of friction that slows something moving through air.

It is worthy to note the air resistance is not dependent on the mass of an object but on the velocity and density of that object.

According to this question, a heavy stone and a cotton having same masses are dropped from certain height on the surface of the Earth.

Based on difference in densities, the cotton will fall slower than the heavy stone because the density of the stone is greater.

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The International System of Units is the modern form of the metric system. It is the only system of measurement with an official status in nearly every country in the world.

Plz Mark me as brainlist

Answer: Air

Explanation:

Roffns dn b bdd

Answer:

None of the options are correct.

Explanation:

Let \(V_x\) be the initial horizontal velocity of the golf ball t be the time of flight.

The time of flight, t, is the time taken by the ball to touch the ground. The ball falls towards earth due to gravitational force which acts vertically downward, so, the horizontal velocity of the ball remains unchanged.

As the horizontal distance covered by the ball is 18 m,

As distance = speed x time, so

\(V_x t = 18\cdots(i)\)

Now, by using the equation of motion in the gravitational field,

\(s=ut+\frac 12 g t ^2\)

Here, u is the initial velocity in the vertical direction, s is the displacement traveled in time t, g=9.81 is the acceleration due to gravity.

Here, we have u=0, s=20 m (height of the cliff), \(g=9.81 m/s^2\).

\(\Rightarrow 20=0\times t +\frac 12 (9.81)t^2\)

\(\Rightarrow t^2= \frac {20\times 2}{9.81}\)

\(\Rightarrow t= \sqrt{\frac {40}{9.81}}\)

\(\Rightarrow t=2\) seconds  (approx)

From equation (i), e have

\(V_x\times 2=18\)

\(\Rightarrow V_x=18/2=9\) m/s.

So, the initial velocity of the ball is 9m/s in the hprizontal diection.

Hence, none of the options are correct.

The height of the image is 0.54cm

To solve this problem, we employ the thin lens equation:

1/f = 1/do + 1/di

where f denotes focal length, di denotes image distance, and do denote object distance.

We begin by solving for di, which gives us the image distance and height:

1/di = 1/f - 1/do

Substituting the values from the problem yields:

1/di = 1/-5 - 1/25

1/di = -0.2

di = -5 cm

The image is virtual and vertical, as indicated by the negative sign above.

The magnification formula can then be used to get the image height:

m = -di/do

Substituting the values yields:

m = -(-5)/25 = 0.2

Because the image is virtual, we ignore the negative sign above and take the absolute value of magnification:

|m| = 0.2

Lastly, the image height is calculated by multiplying the object height by the magnification:

|m| x object height = image height

height of image = 0.2 x 2.7 cm

Height of image = 0.54 cm

As a result, the image height is 0.54 cm.

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Answer: 42

Explanation: 2 x 3 = 6 x 7 = 42

Answer:

42

Explanation

If a baseball has a negative velocity and a negative acceleration, its speed is decreasing.

Velocity is a vector quantity that includes both magnitude (speed) and direction. In this case, the negative velocity indicates that the baseball is moving in the opposite direction of a chosen positive reference direction. Acceleration, on the other hand, represents the rate of change of velocity and also includes both magnitude and direction.

When the velocity and acceleration have the same sign (both negative in this case), it means that the baseball is slowing down. This is because the acceleration is acting in the opposite direction to the velocity, which results in a decrease in speed. Therefore, the speed of the baseball is decreasing.

Answer:

friction is the force she is useing

Answer:

helped bring soviets and americans together

positively portrayed American values

showed respect for Russian culture

helped Americans gain a better understanding of the Soviet people during the Cold War

Explanation: edmentum

The pressure will become 2.68 atm when expressed in atmospheres.

The act of shifting a quantity's measurement between two units of measurement is known as unit conversion. Usually, multiplicative conversion factors are used, which change the value of the measured amount without altering its effects.

The metric system typically requires moving a decimal point in order to translate from one unit to another.

The given data is 39.5 \(lb/in^2\)

we have to convert it into atmospheres

The pressure is :

39.5  \(lb/in^2\) ×  \(\frac{1 atm}{ 14.7 lb/in^2}\)

because the conversion factor is 14.7  \(lb/in^2\)

thus the given pressure becomes ;

Pressure = 2.68 atm

The pressure will become 2.68 atm when expressed in atmospheres.

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Answer:

During winters the planetary boundary layer is thinner as the cooler air near the earth's surface is dense. The cooler air is trapped under the warm air above that forms a kind of atmospheric 'lid'. This phenomenon is called winter inversion

Explanation:

This experiment helps in understanding the laws of motion and how the height, velocity, and direction of the ball affect its trajectory and landing location.

In the objective is to observe and record the landing location of the ball for each trial. To record the landing location of the ball, a carbon paper is placed on the floor beneath the curved track. When the ball lands on the carbon paper, it leaves an impression, which can be marked with a pen or pencil to record the landing location accurately. The recorded data can be used to analyze the relationship between the initial conditions and the landing location.

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The equivalent capacitance of the new circuit is half of the equivalent capacitance of the original circuit.

Without the specific details of the circuit mentioned in the passage, it is impossible to provide an exact answer. However, in general, when capacitors are added in series, the equivalent capacitance of the circuit decreases.

The formula to calculate the equivalent capacitance of capacitors in series is:

1/Ceq = 1/C1 + 1/C2 + 1/C3 + ...

where Ceq is the equivalent capacitance and C1, C2, C3, etc. are the individual capacitances of the capacitors in series.

When an identical capacitor is added in series, its capacitance value can be represented as C4. Therefore, the new equation for the equivalent capacitance of the circuit becomes:

1/Ceq(new) = 1/C1 + 1/C2 + 1/C3 + 1/C4

Since C4 is identical to the original capacitor, the equation can be simplified to:

1/Ceq(new) = 1/Ceq + 1/Ceq

1/Ceq(new) = 2/Ceq

Multiplying both sides by Ceq:

Ceq(new) = Ceq/2

Therefore, the equivalent capacitance of the new circuit would be half of the equivalent capacitance of the original circuit.

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Answer:

31.496 inches

Explanation:

Answer:

Explanation:

A body is said to be in uniform acceleration if change in velocity with respect to time is the same in equal time interval .

A body is said to be in non uniform acceleration if change in velocity with respect to time is not the same in equal time interval.

Business writing is used in professional formal settings. For example:

In business writing it is expected messages are:

Based on this, clarity and conciseness are important because they make the documents effective.

Note: This question is incomplete because the documents are missing; due to this, I answered it based on general knowledge.

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