a satellite of mass m takes time t to orbit a planet. if the satellite had twice as much mass, the time 169) for it to orbit the planet would be

Air pressure must  be supplied to remove water from the ballast tanks is  9.8*105  N/m^2.

Buoyancy  is the upward force exerted by a liquid that opposes the weight of a partially or fully submerged object. In a liquid column, the pressure increases with depth due to the weight of the liquid above. Therefore, the pressure at the bottom of the liquid column is higher than the pressure at the top of the column. Similarly, the pressure at the bottom of an object immersed in liquid will be greater than at the top of the object. A pressure differential results in a net upward force on an object. The magnitude of the force is proportional to the pressure difference and corresponds to the weight of the liquid (as explained by Archimedes' principle). This is the displaced liquid that would otherwise occupy the underwater volume of the object.

We know that pressure below the surface of water is P1 = Po +hdg

                    pressure at the surface of water is P2 = Po

Then pressure difference is P = P1 -P2 = hdg

h = depth = 100 m

d = density of water = 1000 kg/m3

g = 9.8 m/s2

Then P = 100*1000*9.8 = 9.8*105  N/m^2

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If the light travels along the length of a 1500 nm , then

(a) if the wavelength is 500 nm then there will be a peak at other end .

(b) if the wavelength is 1000 nm then there will be a valley  .

Wavelength is defined as the distance between two consecutive peaks or valleys .

given the length is = 1500 nm ;

we know that , the formula is L = nλ ;

Part (a) ;

for peak at other end ,

n should be a whole number ;

So , λ = 500 nm

n = 1500/500 = 3 ,

Part(b)

λ = 1000 nm ;

n = 1500/1000

= 1.5

Therefore , (a) There will be a peak at other end .

(b) There will not be a peak at other end .

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The kWh used per week by the electric range whose voltage and current is 240 V and 11 A respectively is 18.48 kWh.

A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).

To calculate the kWh per week of the electric range, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the kWh used per week is 18.48 kWh.

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The diameter of the ball is 0.4998 m.

Given,

F=581n

Density of water pw= 1.0 x 10³ kg/m³

Density of styrofoam pfoam=95.0 kg/m³

Fb=Buoyancy force

W= Weight of ball

from the Figure

f+w=Fb

Fb-W=f

4/3πR³pwg-4/3πRpfoamg=f

4/3πR³(1000-95) x 9.81=581

R=0.2499m

then the diameter of the ball

d=2R

d=2 x 0.2499

d=0.4998m

the diameter d of the ball = 0.4998m

In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.

Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.

Variety of Forces :

* Frictional Forces

* Tension force.

* Spring force.

* Gravitational pressure.

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The diameter of the ball is 0.4998 m.

What is diameter?

Any straight line segment that cuts through the centre of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.

F=581n

Density of water pw= 1.0 x 10³ kg/m³

Density of styrofoam pfoam=95.0 kg/m³

Fb=Buoyancy force

W= Weight of ball

from the Figure

f+w=Fb

Fb-W=f

4/3πR³pwg-4/3π Rpfoamg =f

4/3πR³(1000-95) x 9.81=581

R=0.2499m

then the diameter of the ball

d=2R

d=2 x 0.2499

d=0.4998m

the diameter d of the ball = 0.4998m

In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.

Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.

Variety of Forces :

* Frictional Forces

* Tension force.

* Spring force.

* Gravitational pressure.

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Relative to the observer in on the shore, the velocity of the boat is 6.5 m/s, NE.

What is relative velocity?

The velocity of an object in relation to another observer is known as its relative velocity.

We cay say that the relative velocity is equal to the vector difference between the velocities of two objects. The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.

The diagram below shows the calculation where AC is relative speed, AB is speed of the boat and BC is the speed of stream.

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Composition and texture is the primary classification trait used to explain how scientists divide rocks into the three classification.

Rocks can be categorized in one of two ways: first, according to the processes by which they form, with rocks being categorized as either sedimentary, igneous, or metamorphic. Grain or crystal size is another common way to categorize rocks.

Two criteria—texture and composition—are used to categorize rocks. The sizes, shapes, and relationships between the various mineral grains and other components that make up a rock are what determine its texture. The process that created the rock controls these elements.

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The speed of the bullet before it strikes the rod is 67 m/s. To determine the speed of the bullet before it strikes the rod, we need to consider the conservation of angular momentum.

The moment of inertia of a thin rod about its center is given by the following formula:

where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.

Substituting the values given in the problem, we find that the moment of inertia of the rod is

In this case, the bullet strikes the rod, transferring some of its linear momentum to the rod in the form of angular momentum. The change in angular momentum of the rod is equal to the angular momentum of the bullet.

We can use the conservation of angular momentum to write the following equation:

where I1 is the initial moment of inertia of the rod, w1 is the initial angular velocity of the rod, J is the angular momentum of the bullet, I2 is the final moment of inertia of the rod, and w2 is the final angular velocity of the rod.

Since the initial angular velocity of the rod is zero, we can simplify the equation as follows:

J = I2 * w2

Substituting the values given in the problem, we find that the angular momentum of the bullet is

To determine the speed of the bullet before it strikes the rod, we need to consider the bullet's mass and the angle at which it strikes the rod. The mass of the bullet is given as 3.0 grams, which is equivalent to 0.003 kg. The angle at which the bullet strikes the rod is given as 60 degrees.

We can use the following formula to calculate the speed of the bullet before it strikes the rod:

Substituting the values given in the problem, we find that the speed of the bullet before it strikes the rod is (6.7 kg*m^2/s / 0.003 kg) * sin(60 degrees) = 67 m/s. This is the final answer.

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A balanced chemical reaction shows the element created by the reaction, phase changes during the reaction, and the number of atom involved in it.

What are balanced chemical equation?

A balanced chemical equation is a chemical equation in which the number of atoms for each element in the reaction are equal on both sides of the equation. This is important in chemistry because it ensures that mass is conserved in a chemical reaction. For example, the combustion of methane (CH4) can be represented by the following balanced chemical equation:

CH4 + 2O2 → CO2 + 2H2O

In this equation, there are 4 atoms of carbon (C) on the left side and 4 atoms of carbon on the right side, indicating that all of the carbon has been accounted for in the reaction. There are also 8 atoms of oxygen (O) on the left side and 8 atoms of oxygen on the right side, 4 atoms of hydrogen (H) on the left side and 4 atoms of hydrogen on the right side, and 4 atoms of oxygen (O) on the left side and 4 atoms of oxygen on the right side, indicating that all of the elements have been accounted for in the reaction.

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The final velocity of the object after 5 seconds it was dropped is determined as 50 m/s.

The final velocity of the object after 5 seconds it was dropped is calculated by applying the following kinematic equation as shown below.

v = u + at

where;

During the vertical motion of an object, the vertical velocity of the object decreases as the object moves upwards and eventually becomes zero as the object reaches maximum height.

The vertical velocity of the object starts to increase again when the object start falling downwards and becomes maximum before the object hits the ground.

v = 0  +   ( 10 m/s² ) ( 5 s )

v = 50 m/s

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The complete question is below:

if the object falls from the  cliff falls with a constant acceleration of 10 m/s2. Find its speed after 5 seconds it was dropped.

The required force is F = 3240 N.

As a result,

1200 kg is the car's mass.

Initial speed of the vehicle, u = 0.

The car's final speed is 27 meters per second.

Thus we have to first calculate the acceleration and then substitutes its value in the force formula

Taking time, t = 10 s

F = m a, where a represents the vehicle's acceleration, is the formula for the required force.

a= v - u / t

thus a = 27 - 0/ 10

a = 27/ 10

F = 1200 X 27 / 10

F = 3240 N.

Therefore, this is the necessary solution.

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Refer to the attached photos. I would appreciate a rate :)

The option that is more likely to happen if coastal north Carolina increased implementation of wind energy is The production of greenhouse gases would decrease.

A gas that produces the greenhouse effect by both absorbing and emitting radiant radiation in the thermal infrared range is referred to be a greenhouse gas. The five main greenhouse gases in the atmosphere of Earth are ozone, carbon dioxide, methane, and water vapor.

A renewable energy source is wind energy. It is non-polluting, never runs out, and reduces the demand for fossil fuels, which are the source of greenhouse gases that cause global warming.

By increasing the implementation of wind energy,

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Option (B)is correct

depends on the choice of axis of rotation

What does m in a moment of inertia mean?

Formula for Moment of Inertia

Moment of inertia is defined in general form as I = m r2,

where m is the sum of the product of the mass.

r is the separation from the rotational axis.

What elements affect inertia?

The position and orientation of the rotational axis affect a body's moment of inertia. It also depends on the body's size, shape, and how its mass is distributed around a particular axis. Q.

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The velocity of third mass of watermelon is 3.12m/sec if it explodes into three equal masses.

We know that we need to conserve the momentum of watermelon in a certain direction.Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

Now,initial momentum of watermelon=0Kg-m/sec

Alos,we know that momentum =mass× velocity

Now,suppose watermelon has mass m.When it explodes into three equal parts,then the mass of each watermelon pieces is m/3

=>So,final momentum of piece moving to east=(m/3)×15

Similarly final momentum of second and third piece are

(m/3)×10×1/√2 and (m/3) × v × (1/√2)

So,conserving momentum,we get

=>0=(m/3) × 15 +((m/3)×10×1/√2 ) + (m/3)×10×1/√2 )×v

=> - (15 + 10/√2) = (10/√2)×v

=> - (15√2 + 10) = 10v

=>v = (15√2 + 10)/10

=>v= -(21.21+10)/10

=>v= -31.21/10

=>v= -3.12m/sec

Here negative sign shows that mass will move opposite direction to first piece.

Hence, required velocity is 3.12m/sec.

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A normal snowflake may contain 1,000,000,000,000,000,000, or one quintillion, water molecules.

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The time period of the small oscillations for the simple pendulum is found to be  3.14 seconds.

The pendulum is located in an elevator that is accelerating upwards with an acceleration of 6m/s² and length of the pendulum is 4m.

Because the elevator is accelerating in the upper direction the net acceleration of the pendulum will be (10 + 6)m/s².

The period of small accelerations for this pendulum will be given by the relation,

T = 2π(l/a)

Where,  l is the length of pendulum and a is the net acceleration.

Putting values,

T = 2π(4/16)

T = 2π(1/2)

T = π seconds.

T = 3.14 seconds.

So, the time period of this small oscillations for this pendulum is 3.14 second.

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Answer:

.Answer: d. All electromagnetic waves have the same frequency.

All living organisms are mainly composed of the elements: Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus.

The correct answer choice is option c.

Living organisms are those things that has life. They include plants and animals. Living organisms be it plants or animals are composed of important elements such as carbon, oxygen and others.

However, there are certain characteristic features which living organisms possess. Some of these characteristics of living things are as follows:

Other characteristics of living organisms are:

In conclusion, we can now confirm from above the explanation given above that living things are made up of certain elements.

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Most photons that leave the sun's surface have a surface temperature of 6,000 K, which corresponds to the visible light region of the electromagnetic spectrum.

The electromagnetic spectrum is a continuous range of wavelengths and frequencies that includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. The wavelengths and frequencies of these different types of electromagnetic radiation are all different and correspond to different regions of the spectrum.

The visible light region of the electromagnetic spectrum is the portion of the spectrum that can be seen by the human eye. It ranges from about 400 nanometers (nm) to about 700 nm in wavelength, and corresponds to frequencies of about 7.5 x 10^14 Hz to about 4.3 x 10^14 Hz. Photons with wavelengths and frequencies in this range have enough energy to excite the photoreceptors in the human eye, allowing us to see them.

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The equation for the motion of a mass on the end of a spring with a period of 0.66 seconds and a stretch of 8.8 cm from equilibrium is

y = (8.8cm)cos(3πt).

Newton's second law, which states that the force acting on a body is equal to that force multiplied by the acceleration of the center of mass of that body, or F = ma, is the basic equation of motion in classical mechanics.

As we are aware, the SHM equation is as follows:

y = Acos(ωt)

Here, we are aware of

ω = 2π/T

Here it is

T = 0.66s

now that we

ω = 2π/0.66

ω = 3π

We now have

y = (8.8cm)cos(3πt).

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The magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.

Magnitude is a measure of the size or intensity of a physical quantity. It is usually defined as the absolute value of the numerical value of the physical quantity, and is often expressed in terms of a unit of measurement. Magnitude can refer to a variety of different physical quantities, such as size, intensity, brightness, or energy. Magnitude can also refer to the relative size or intensity of two or more physical quantities, when compared to each other.

The resultant force on the horizontal gate is equal to the sum of the hydrostatic forces acting on the gate.
Since the gate is horizontal, the hydrostatic forces acting on the gate will be equal to the pressure difference between the top and bottom of the gate.
This pressure difference is equal to the product of the fluid density, gravitational acceleration, and the gate width.
Therefore, the magnitude of the resultant force on the gate will be:
F = w * r * g
The location of the resultant force on the gate will be at the center of the gate, which is point A.
Therefore, the magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.

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Answer: Hookes law states F=kX where F is the force applied, k is the spring constant, and X is the extension of the spring from its resting point.Substituting the values in, we get:F=100*(0.65-0.5)=100*0.15=15N

The results that we get from the experiment is accurate within the limits of experimental error. Option E

We know that an experiment is the way by which we can be able to establish a cause and effect relationship. In this case, we can see that there is an inelastic collision that has occurred between the two blocks that have collided in the instance that we can see here.

Looking at the set up of the experiment, it is clear that the  block is given an initial speed toward block , which is initially at rest. the blocks are on a track that has a motion detector set up, as shown above.

All of the set up is okay based on the way that such an experiment ought to be arranged to enable us to get a very accurate result out of the work that has been done here.

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The rotational inertia of the wheel which has a radius of 0.34 m is 4.782 kgm²

The force applied tangentially to the wheel = 16.88 N

The radius of the wheel = 0.340 m

The angular acceleration of the well = 1.20 rad /s²

The rotational inertia can be found using the formula,

             I = F x r / α

where I is the rotational inertia

          F is the force applied

          r is the radius of the wheel

          α is the angular acceleration

Let us substitute the known values in the above equation, we get

              I = 16.88 x 0.34 / 1.20

                = 5.7392 / 1.20

                = 4.782 kgm²

Therefore, the rotational inertia is 4.782 kgm²

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A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.

While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.

Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.

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300 kelvin  temperature, in kelvins, will atoms of a monatomic gas have an average kinetic energy equal to this needed electrical potential energy.

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy.

Our knowledge of the cosmos and how we fit into it depends on potential energy. In fact, potential energy and the labor necessary to move an item are determined by the position of the object in the universe. Everything we do has an impact on something's potential energy.

KE=3/2KT

=6.21*10(-21)

=3/2*1.30*10(-23)*T

T=300 kelvin

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Neglecting the gravitational acceleration due to jupiter , the gravitational acceleration at the surface of moon b is 8 m/s².

The gravitational acceleration at the surface of the moon is determined using the equation G*M/r^2, where G is the gravitational constant, M is the mass of the object, and r is the radius of the object.

Calculate the gravitational acceleration at the surface of moon a, using the equation for gravitational acceleration:

g = G * M / r2

where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.

g = 6.67x10-11 Nm2/kg2 * M / r2

g = 6.67x10-11 Nm2/kg2 * (mass of moon a) / (radius of moon a)2

g = 2 m/s2

Step 2: Calculate the gravitational acceleration at the surface of moon b, using the equation for gravitational acceleration:

g = G * M / r2

where G is the gravitational constant (6.67x10-11 Nm2/kg2), M is the mass of the moon, and r is the radius of the moon.

g = 6.67x10-11 Nm2/kg2 * (2 * (mass of moon a)) / (2 * (radius of moon a))2

g = 8 m/s²

Therefore, the gravitational acceleration at the surface of moon b is 8 m/s².

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A minimal time period is required to accelerate through x=3.00m because maximal static friction produces the force that creates maximum acceleration.

acceleration is the rate of change in both direction and speed of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because of direction is always shifting, motion on a circle accelerates even while the speed is constant.

A person moves by the help of frictional force, as a result of gtound reaction. So, the formula for frictional force is:

F = μR

where,

F = frictional force

μ = coefficient of friction

R = Normal Reaction = Weight of Body = W = mg

Therefore,

F = μmg

but, from Newton's 2nd Law of Motion:

F = ma

Comparing both equations, we get:

μmg = ma

a = μg   ---------- equation (1)

Now, to calculate the distance moved by a body, we use 2nd equation of motion:

s = (Vi)(t) + (0.5)at²

using equation (1), we get:

s = (Vi)(t) + (0.5)μgt²

where,

s = distance moved by body

Vi = initial velocity of body

t = time taken to cover the distance

g = acceleration due to gravity

(a)

Vi = 0 m/s

g = 9.8 m/s²

s = 3.2 m

μ = 0.5

t = ?

Therefore,

3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²

t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)

t = √1.30612 s²

t = 1.14 s

(a)

Vi = 0 m/s

g = 9.8 m/s²

s = 3.2 m

μ = 0.5

t = ?

Therefore,

3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²

t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)

t = √1.30612 s²

t = 1.14 s

(a)

Vi = 0 m/s

g = 9.8 m/s²

s = 3.2 m

μ = 0.87

t = ?

Therefore,

3.2 m = (0 m/s)(t) + (0.5)(0.87)(9.8 m/s²)t²

t² = 3.2 m/(0.5)(0.87)(9.8 m/s²)

t = √0.75 s²

t = 0.87 s

The rate of change in displacement is known as velocity. Acceleration is the rate at which speed changes. The fact that velocity contains both magnitude and orientation makes it a vector quantity. Acceleration is also a vector quantity since it is simply the rate during which velocity varies.

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Answer: Down below is the answer in complete sentences!

Explanation:

PART A:

Gravity and Acceleration are two additional forces acting upon the sled.

PART B:

Gravity will affect the sled by pulling it down, since the slope of the hill is negative.

Acceleration will affect the sled by gradually increasing it's speed, since the slope is downwards, which in addition to the initial force exerted plus gravity increases the speed, thus the sled accelerates.

The correct expression for the resulting velocity is -1/2 vcar. The correct option is c.

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

A car travels down a road at a certain velocity, is Vcar.

Let the initial velocity of the car travel downward be -V car

It is also, given, that the driver slows down so that the car is traveling only half as fast as before.

Resulting velocity = -1/2 vcar

Therefore, the correct option is c. -1/2vcar.

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