Please help this is urgent

Consider a planet and an asteroid in the solar system. Both their orbits can be considered as a circle. Their distance to the center of the sun differ by a factor of 4. rB = 4 rA

When r increases by a factor of 4, how do period T, angular velocity ω, and linear speed v change respectively?

1. [tex]T_{B}[/tex] = ___ [tex]T_{A}[/tex]

2. [tex]\omega_{B}[/tex]=___[tex]\omega_{A}[/tex]

3. [tex]v_{B}[/tex] = ___[tex]v_{A}[/tex]

Mass of the fertilizer bag is 165.82 kg

According to Newton's law,

F = m*a

So, m= F/a

m= 131/0.790

m= 165.82 kg

Mass is the measure of matter of a body.

Newton has stated three laws of motion. The first law states that every object will remain at rest or in uniform motion in a straight line unless an external force compels it to change its state of action .

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

The third law states that every action has an equal and opposite reaction.

To know more such numericals, visit :

https://brainly.com/question/14633087

#SPJ4

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.

Learn more about electric kilowatt-hour (kWh) here: https://brainly.com/question/13494371

#SPJ1

4.71 s long (in s) does it take a child on a swing to complete one swing if her center of gravity is 5.53 m below the pivot.

The average position of an object's weight is known as its center of gravity. Any object's travel through space may be entirely explained in terms of how its gravitational center moves from one location to another and, if it is free to spin, how it rotates around that center of gravity. Calculations combining gravitation and dynamics may be made much simpler by treating an object's mass as though it were concentrated at a single location.

T=2π√(l/g)

T=2π√(5.53/9.81)

T=4.71

T =4.71 s

To know more about center of gravity visit:

https://brainly.com/question/20662235

#SPJ4

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

Learn more about the rotational inertia in

https://brainly.com/question/22513079

#SPJ4

The maximum height an object will reach if it is thrown vertically upwards at 24.0 m/s will be equal to 29.35 meters.

Kinetic energy is the term used in physics to describe the force that a moving item has.

It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.

As per the given information in the question,

The formula of kinetic energy is,

K.E = 1/2 mv²   (i)

The formula of gravitational potential energy is,

u = mg     (ii)

Equate equations (i) and (ii)

1/2 mv² = mgh

h = 1/2 v²/g

h = 1/2 (24)²/9.81

= 576/19.62

h = 29.35 meters.

To know more about Kinetic energy:

https://brainly.com/question/26472013

#SPJ1

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

Learn more about Buoyancy here:

https://brainly.com/question/451053

#SPJ4

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.

To know more about velocity, visit here:

https://brainly.com/question/18084516

#SPJ4

Answer:

Explanation:

Fg = W = mg = (5.0 kg)(9.8 m/s²) = 49 N

Fnormal = W = 49 N

Ff = μFn = (0.10)(49 N) = 4.9 N

Fnet = 15 N - 4.9 N = 10.1 N

a = Fnet/m = (10.1N)/(5.0kg) = 2.02 m/s²

The second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

To determine the location of the second weight that will keep the meter stick balanced, we need to consider the principles of equilibrium.

The weight of the meter stick can be calculated as follows:

Weight of meter stick = mass * acceleration due to gravity

= 24 g * 9.8 m/s^2

= 235.2 N

The total weight of the two hanging weights is 96 g + 96 g = 192 g = 1.92 N.

The sum of the forces acting on the meter stick is equal to zero when:

235.2 N + 1.92 N = 0

This equation tells us that the sum of the forces acting on the meter stick is equal to zero when the total weight of the two hanging weights is equal to the weight of the meter stick.

To determine the location of the second weight, we also need to consider the moments about the pivot point. The moment of a force is calculated as the product of the force and the distance from the pivot point. The moments about the pivot point are equal to zero when the sum of the moments of the forces on one side of the pivot point is equal to the sum of the moments of the forces on the other side of the pivot point.

The moment of the weight of the meter stick about the pivot point is calculated as follows:

Moment of the weight of meter stick = force * distance from pivot point

= 235.2 N * 0.4 m

= 94.08 N*m

The moment of the weight hanging from the 9 cm mark about the pivot point is calculated as follows:

Moment of weight hanging from 9 cm mark = force * distance from pivot point

= 1.92 N * 0.09 m

= 0.1728 N*m

To keep the meter stick balanced, the moment of the second weight must be equal in magnitude but opposite in direction to the moment of the weight hanging from the 9 cm mark. The moment of the second weight can be calculated as follows:

Moment of second weight = force * distance from pivot point

= 1.92 N * distance from pivot point

Substituting the value of the force and setting the moment equal to the negative of the moment of the weight hanging from the 9 cm mark, we get the following equation:

1.92 N * distance from pivot point = -0.1728 N*m

Solving for the distance from the pivot point, we find that the second weight must be located at a distance of 0.09 m from the pivot point, or 9 cm. This is the same distance from the pivot point as the weight hanging from the 9 cm mark.

Therefore, the second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

Learn more about Mass here:

https://brainly.com/question/19385703

#SPJ4

Three helium-4 nuclei (alpha particles) are turned into carbon by a series of nuclear fusion processes known as the triple-alpha process.

What results from the triple-alpha procedure as the finished product?

The triple-alpha process and the alpha process are two classes of nuclear fusion reactions that stars use to change helium into heavier elements. The alpha process is also referred to as the alpha ladder. [1] Only helium is used in the triple-alpha process, which also yields carbon.

Which statement concerning alpha particles in an atom is accurate?

Two protons and two neutrons make up alpha particles, which are identical to helium nuclei and have a positive charge.

Learn more about Alpha Particle

Visit:

https://brainly.com/question/17464734

#SPJ4

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 .

Learn more about Wavelength here

https://brainly.com/question/19542918

#SPJ4

The heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

Styrofoam is a trademarked brand of foam insulation and craft material manufactured by the Dow Chemical Company. It is made from expanded polystyrene (EPS) beads that are fused together with steam and pressure. EPS is a lightweight and rigid material that is used for insulation, packaging, and soundproofing. Its properties make it an ideal material for crafting, floristry, model building, and other art projects. Styrofoam is stable in most environments and is resistant to water, oil, and most chemicals. It can be cut, shaped, and painted easily and is an excellent thermal insulator. In addition, it is also non-toxic and non-carcinogenic, making it a safe and economical choice for many applications.

Assuming that the wall is a perfect insulator, the heater will have to provide enough power to make up for the heat lost due to conduction and convection. The rate of heat loss per unit area is given by:

Q = λ*A*(T2 - T1)/d
Where:
λ = thermal conductivity of styrofoam (see table above)
A = Area of wall (3*3) = 9 m2
T2 = Temperature inside the house (25C)
T1 = Temperature outside the house (0C)
d = thickness of styrofoam insulation (2.5 cm)

Plugging in the values we get:
Q = 0.045*9*(25-0)/0.025 = 540 W
Therefore, the heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

To learn more about Styrofoam
https://brainly.com/question/29332536
#SPJ4

Answer:

Below

Explanation:

Normal force will be   mg cos 15° = 1.5*9.81 cos 15°   Newtons

Downplane force will be  mg sin 15° = 1.5 * 9.81  sin 15°    N

Acceleration

F = ma

F/m = a

1.5 ( 9.81) sin 15° / 1.5   m/s^2  = a

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

The kinetic energy is 939.87 J.

Kinetic energy is the power that an object has as a result of motion. If we want to accelerate an object, we have to exert force. Applying force requires effort on our part. The object will be moving at a new, constant speed once the work is done because energy has been transferred to it.

A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion. Kinetic energy is used by objects in motion like a person walking, a baseball being thrown, food falling from a table, and charged particles in an electric field.

Kinetic energy = 1/2mv²

Kinetic energy =  1/2×0.06×177²

Kinetic energy = 939.87 J.

To know more about kinetic energy visit:

https://brainly.com/question/26472013

#SPJ4

M is the mass, and R is the body's radius, hence g=R2GM (planet).The pendulum's time period varying as its acceleration with respect to gravity changes.

Example: On the surface of the earth, a basic pendulum swings for a period of time T 0. This straightforward pendulum would have a period of 12 /xT 0 on a planet with an earth-like density but a radius four times that of the earth.

Answer: T 0 = 2 π√g / L is the formula for a simple pendulum's time period.

The value of g changes in accordance with the mass of a different planet that we visit.

g=  GM / R² is the result.

M, which stands for mass, and R, which stands for body radius (planet).

Given, the radius is four times larger for a different planet with the same density.

Given, the radius is four times larger for a different planet with the same density.

M=density, volume, and p = 4/3 πR³

g=  G * (p 4/3 πR³ / R² = G * p 4/3 π R

Here, R = 4R

⇒ G×ρ 3 / 4 π(4R)=4g

T 0 represents the new time frame.

T0 = 2π √ L/4g = T0/2

Consequently, 12/ x = 2 /1 x=6 because of =T 0 /2.

To Learn more About pendulum's time period refer To:

https://brainly.com/question/26524032

#SPJ4

The system that is more energy efficient is system A because it makes use of electricity to produce more results.

Energy efficiency is the use of less energy to perform the same task or produce the same result.

Energy-efficient homes and buildings use less energy to heat, cool, and run appliances and electronics, and energy-efficient manufacturing facilities use less energy to produce goods.

Energy efficiency has the following benefits:

According to this question, the following applies:

Based on the above explanation, it can be observed that system A is more energy efficient because it uses the same electricity to achieve more.

Learn more about energy efficiency at: https://brainly.com/question/28939461

#SPJ1

Answer:

D

Explanation:

distance does not factor in when you are calculating the gravitational force of an object

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.

To learn more about relative velocity from the given link

https://brainly.com/question/19260269

#SPJ1

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.

To learn more about magnitude
https://brainly.com/question/24468862
#SPJ4

The weight of the bucket suspended by rope held in your hand is 20 N.

Newton's third law of motion states that for every action there is an equal and opposite reaction. That is the force applied or exerted on an object is equal to the reaction of the object.

Mathematically, the formula for the Newton's third law of motion is given as;

Fa = Fb

where;

The applied force and the reaction force are equal in magnitude but opposite in direction.

Thus, if the tension holding a bucket upward is 20 N, then there must be an equal and opposite force pushing the bucket downwards. The downward force of the bucket or the weight of the bucket must be equal to the tension holding the bucket upwards.

Learn more about weight here: https://brainly.com/question/2337612

#SPJ1

The kind of spring should be held constant so as to improve the validity of the experiment.

Hooke's law states that the force that acts on a spring is directly proportional to the extension of the spring as long as the elastic limit is not exceeded.

As such, we can now understand that we can only be able to talk about the Hooke's law if there is no way in which the material has passed the elastic limit of the material. In this case, we are told that the students just embarked on a kind of experiment and they want to be able to verify the validity of the Hooke's law.

We saw that the masses that were hanged were increased but the springs were also changed. This would not allow us to determine the force constant and the Hooke's law accurately.

Learn more about Hooke's law:https://brainly.com/question/29126957

#SPJ1

According to the information available in the question, the force constant is 6.83N/m.

Using the relation;

T = 2π√m/k

T = period = 0.340 s

m = mass in kilograms = 0.0200 kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π^2m/T^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 6.83 N/m

In physics, force is that power that can change the motion of an item. It also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.

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 force.

Learn more about Force here:-brainly.com/question/12785175

#SPJ4

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.

To learn more about velocity, refer to the link:

https://brainly.com/question/18084516

#SPJ1

All galaxies outside the Local Group are moving away from us, and the farther away they are, the faster they're going.

We may learn a lot about the nature of the cosmos from Hubble's rule, which states essentially that a known universe velocity (or, as it is commonly displayed, its redshift) is precisely proportionate to its distance. The relationship between distance and speed should not exist if the cosmos is constant and unchanging.

The Hubble-Lemaître law, commonly referred to as Hubble's law, is the finding in astrophysics that planets are eloping from Earth at rates proportionate to their separation. In other words, they are travelling away from Earth more quickly the more away they are.

To know more about Hubble visit:

https://brainly.com/question/29766816

#SPJ4

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.

Learn more about Inertia

Visit

https://brainly.com/question/1358512

#SPJ4

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.

To know more about force you may visit the link:

https://brainly.com/question/28875770

#SPJ4

The kinetic energy of the object is 64 joule.

According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion.

As a scalar quantity, kinetic energy can only be fully defined by its magnitude.  SI unit of kinetic energy is Joule.

Given that: mass of the object: m = 2 kg.

Velocity of the object: v = 8 m/s.

Hence, kinetic energy of it   =1/2* mass* velocity^2

=  1/2*mv^2

= 1/2 × 2 × 8^2 joule

= 64 joule.

Hence the kinetic energy is 64 joule.

Learn more about kinetic energy here:

https://brainly.com/question/999862

#SPJ1

The new acceleration would be 24.0 m/s/s.

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the result of applying a force to an object, and can be described mathematically as the change in velocity (or speed) divided by the time it takes for the acceleration to occur. Acceleration can also be caused by a change in the direction of motion and is measured in meters per second squared (m/s2). It is an important concept in physics, and is used to describe motion in objects ranging from cars to planets.

The new acceleration would be 24.0 m/s/s. This is because the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. Therefore, doubling the mass of the object would halve the acceleration, since the force applied to the object remains the same.

To learn more about acceleration
https://brainly.com/question/605631
#SPJ1

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