According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other.

Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.

Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.


Which of the following statements is true about the planets?
A.
Planet B is more attracted to its star than Planet A.
B.
Planet B will keep orbiting its star longer than Planet A.
C.
Planet A orbits its star faster than Planet B.
D.
Planet A has a longer year than Planet B.

Answer:

Newton's second law says that F=ma, so if the force applied is zero, then the acceleration must also be zero.

Explanation:

Let's set the equation to 0 = ma. If mass is a nonzero value, then the acceleration must be zero to solve the equation. Therefore, if the force applied to an object is zero, then it will not accelerate (i.e. change speed or direction).

Answer:

It might help u

Explanation:

Newton's First Law states that an object with no net force acting on it remains at rest or moves with constant velocity in a straight line.

Newton's  Second Law states that the acceleration of an object is directly proportional to the net force on the object and inversely proportional to the mass of the object

                      F=ma

So both show relation between force and acceleration that's why we can say both are inter-related

The Newton 2nd law is Basically introduce so that we can obtain a specific relation ship between force and acceleration.

Answer: Helium=4 is the answer

Explanation:

took the test and got it right that'

s the answer.

Answer:

It's b

Explanation:

I took the quiz on EDGE and got it right.

Answer:

fitness is very important to me

Answer:

Cytokinesis occurs differently in animal and plant cells. In animal cells, the plasma membrane of the parent cell pinches inward along the cell's equator until two daughter cells form. In plant cells, a cell plate forms along the equator of the parent cell.

Explanation:

Answer:

mass

Explanation:

Answer:

A wheel on a car, however, rotates around the car's axle, so it does have rotational motion. For this example, if you were to pick a single point on the edge of the wheel, you could also say that it has circular motion.

Answer:

0.5 m/s²

Explanation:

Applying,

F = ma............... Equation 1

Where F = Force applied to the chair, m = mass of the student, a = acceleration of the chair

make a the subject of the equation

a = F/m............ Equation 2

From the question,

Given: F = 35 N, m = 70 kg

Substitute these values into equation 2

a = 35/70

a = 0.5 m/s²

Hence the new acceleration of the chair is 0.5 m/s²

The current through the circuit after 12.5 ms is 2.5864 A.

The characteristic time constant of a 23.2 mh inductor that has a resistance of 4.21 ω is 5.82115 ms.

If it is connected to a 12.0 v battery, the current after 12.5 ms will be 2.5864 A.

Below are the steps to get to the answer:(a) Calculate the characteristic time constant of the circuit using the formula:τ = L/RWhere τ is the time constant, L is the inductance of the inductor, and R is the resistance of the circuit.tau=23.2mH/4.21Ω=5.82115ms

Hence, the characteristic time constant of the circuit is 5.82115 ms.

(b) To calculate the current through the circuit, we need to use the formula:i = (V/R) [1 - e(-t/τ)]Where i is the current, V is the voltage of the battery, R is the resistance of the circuit, t is the time, and τ is the characteristic time constant of the circuit.i = (12/4.21) [1 - e(-12.5/5.82115)]i = 2.5864

Hence, the current through the circuit after 12.5 ms is 2.5864 A.

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A vector which is perpendicular to the level curve of f through the point (2, 4) in the direction in which f decreases most rapidly is -4.18i + 4.08j

The level curve of f through the point (2, 4) is the set of points (x, y) in the domain of f such that f(x, y) = f(2, 4). Since f(2, 4) is a constant, this level curve is a curve in the xy-plane.

The gradient of f is given by:

∇f(x, y) = ⟨fₓ(x, y), fᵧ(x, y)⟩ = ⟨e^x cos y - 1, -ex sin y⟩

At the point (2, 4), we have:

∇f(2, 4) = ⟨e^2 cos 4 - 1, -2e^2 sin 4⟩ ≈ ⟨4.18, -4.08⟩

This gradient vector is perpendicular to the level curve of f through (2, 4), because the gradient vector is always perpendicular to level curves of a function.

To find the direction in which f decreases most rapidly, we need to find the negative of the gradient vector, which is:

-∇f(2, 4) ≈ ⟨-4.18, 4.08⟩

This vector is a normal vector to the tangent plane of the surface z = f(x, y) at the point (2, 4, f(2, 4)). It is also a direction vector for the direction in which f decreases most rapidly.

Therefore, a vector which is perpendicular to the level curve of f through the point (2, 4) in the direction in which f decreases most rapidly is:

⟨-4.18, 4.08, 0⟩ ≈ -4.18i + 4.08j

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An object's mass rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force experienced by a body. The weight of a body can be different as it depends on where and under what conditions it is kept.

However mass is the measure of the amount of matter contained in a body and it is always constant.

Weight is defined as the amount of force exerted on a body by a moving gravitational field or any other field at the surface of the earth. It is measured in Newton (N)

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Answer:

Explanation:

180mile/hour

Answer:

Carbon (see below)

Explanation:

To identify an element on the period table, you can use its atomic number—or its number of protons.

The atomic number of an element is located in the upper left-hand corner of each square in the periodic table. Refer to IMAGE.A for more info.

If you look at the periodic table, you can spot carbon in the nonmetals.

Carbon's upper left-hand corner has a 6. Refer to IMAGE.B for more info.

Carbon is pulled from the atmosphere in the carbon cycle through the process of photosynthesis. Details about photosynthesis can be found below.

Photosynthesis is the process whereby green plants obtain their nutrition by utilizing energy from sunlight.

Green plants absorb carbon in the form of carbon dioxide from the atmosphere and use it in the photosynthetic process.

This means that one way that carbon is removed from the atmosphere during the carbon cycle is through photosynthesis.

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Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

Answer:

the Battery of the phone contains chemical energy which transfers Light and Sound energies.

Answer:

I do have the answer

Explanation:

6.6 * \(10^{5}\) V/m is the electric field amplitude of an electromagnetic wave whose magnetic field amplitude is 2.20 mT

Magnetic field amplitude = Bm = 2.20 mT = 2*\(10^{-3}\) T

Electric field amplitude = Em = ?

An electric field is a field created by electrically charged particles that attracts or repels other electrically charged particles surrounding it.

The greatest strength of the electric and magnetic fields is known as the electric field amplitude.

It can be said to be,

Em = c * Bm

Where, c is the speed of light(c = 3 * \(10^{8}\) m/s)

Bm is the magnetic field amplitude

On substituting the values we get,

Em = c * Bm

Em = 3 * \(10^{8}\) m/s * 2.20 * \(10^{-3}\) T

Em = 660000 V/m

Em = 6.6 * \(10^{5}\) V/m

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Since all three cars have the same final velocity, the one with the greatest mass, which is car X, will have the most amount of momentum after 10 seconds.

The amount of momentum each car has after 10 seconds will depend on both its mass and its velocity. Since all three cars experience the same net accelerating force, they will all have the same acceleration. However, because car X is more massive than car Y, which is more massive than car Z, it will take more force to accelerate car X to the same acceleration as car Y and car Z.

Therefore, after 10 seconds, all three cars will have the same final velocity (assuming they all started from rest), but car X will have a greater amount of momentum than car Y and car Z because of its greater mass.

The formula for momentum is:

momentum = mass x velocity. Since all three cars have the same final velocity, the one with the greatest mass, which is car X, will have the most amount of momentum after 10 seconds.

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Answer:

57 m

Explanation:

Given:

v₀ = 25 m/s

v = 13 m/s

t = 3 s

FInd: Δx

Δx = ½ (v + v₀) t

Δx = ½ (13 m/s + 25 m/s) (3 s)

Δx = 57 m

The half-life of 40K is approximately 1.3 billion years. Given a ratio of 40Ar/40K as 3/1 in a granite sample, we can estimate the age of the sample by understanding the decay process.  Based on the given 40Ar/40K ratio, the age of the sample is approximately 650 million years.

Since the half-life of 40K is 1.3 billion years, this means that after each half-life, half of the 40K atoms will have decayed into 40Ar. Therefore, if the ratio of 40Ar/40K is 3/1, it suggests that three-quarters (or 75%) of the original 40K atoms have decayed into 40Ar.

To determine the age, we can calculate the number of half-lives that have occurred based on the remaining 25% of 40K. Since each half-life is 1.3 billion years, dividing the remaining 25% by 50% (half) gives us 0.5. Thus, the sample has undergone 0.5 half-lives.

Multiplying 0.5 by the half-life of 1.3 billion years gives us an estimated age of 0.65 billion years, or 650 million years, for the granite sample.

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(a) The current through each bulb is (IA)  ≈ 0.33 A and (IB) ≈ 3.33 A.

(b) The resistance of each bulb is (RA) ≈ 360 Ω and (RB) ≈ 3.6 Ω.

(c) Charge passing thrοugh bulb A ≈ 1 C and bulb B ≈ 10 C.

(d) Energy used by bulb A = 0.12 kWh and bulb B = 0.12 kWh.

(e) Lightbulb B requires larger diameter wires fοr pοwer cοnnectiοn.

An electric bulb refers tο an electric lamp which cοnsists οf a translucent οr transparent glass hοusing. It is alsο knοwn as a light bulb. This simple device has been used fοr the purpοse οf illuminatiοn fοr mοre than a century. Electric bulb refers tο a device which prοduces light οn the applicatiοn οf electricity.

Tο answer the questiοns, we'll use the fοllοwing infοrmatiοn:

Lightbulb A:

Rated vοltage (V) = 120 V

Pοwer (P) = 40 W

Lightbulb B:

Rated vοltage (V) = 12 V

Pοwer (P) = 40 W

Part A: Current thrοugh each bulb

We can use Ohm's Law (V = I * R) tο calculate the current (I) flοwing thrοugh each bulb. Since the pοwer (P) is given, we can alsο use the fοrmula P = V * I. Rearranging the fοrmula, we have I = P / V.

Fοr Lightbulb A:

Current (IA) = 40 W / 120 V ≈ 0.33 A

Fοr Lightbulb B:

Current (IB) = 40 W / 12 V ≈ 3.33 A

Part B: Resistance οf each bulb

We can use Ohm's Law (V = I * R) tο calculate the resistance (R) οf each bulb. Rearranging the fοrmula, we have R = V / I.

Fοr Lightbulb A:

Resistance (RA) = 120 V / 0.33 A ≈ 363.64 Ω ≈ 360 Ω

Fοr Lightbulb B:

Resistance (RB) = 12 V / 3.33 A ≈ 3.60 Ω ≈ 3.6 Ω

Part C: Charge passing thrοugh each bulb in 3 hοurs

Charge (Q) is related tο current (I) and time (t) by the fοrmula Q = I * t.

Fοr Lightbulb A:

Charge passing thrοugh bulb A (QA) = 0.33 A * 3 hr ≈ 0.99 As ≈ 1 C

Fοr Lightbulb B:

Charge passing thrοugh bulb B (QB) = 3.33 A * 3 hr ≈ 9.99 As ≈ 10 C

Part D: Energy used by each bulb in 3 hοurs

Energy (E) is related tο pοwer (P) and time (t) by the fοrmula E = P * t.

Fοr Lightbulb A:

Energy used by bulb A (EA) = 40 W * 3 hr ≈ 120 Wh ≈ 0.12 kWh

Fοr Lightbulb B:

Energy used by bulb B (EB) = 40 W * 3 hr ≈ 120 Wh ≈ 0.12 kWh

Part E: Diameter οf wires fοr pοwer cοnnectiοn

The diameter οf wires required depends οn the current flοwing thrοugh them. Since Lightbulb B has a higher current (3.33 A) cοmpared tο Lightbulb A (0.33 A), it wοuld require larger diameter wires tο handle the higher current. Therefοre, Lightbulb B requires larger diameter wires fοr pοwer cοnnectiοn.

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Answer: Although low frequency sound travels further than high-frequency sound, calls at higher frequencies give the bats more detailed information--such as size, range, position, speed and direction of a prey's flight. Thus, these sounds are used more often.

Explanation:

The estimated diameter of the sun using the given information is approximately 864,000 miles.

To estimate the diameter of the sun during a solar eclipse, we can use the concept of similar triangles.

The distance between the earth and the moon is approximately 240,000 miles, and the moon's diameter is about 2160 miles. In comparison, the distance between the earth and the sun is approximately 93 million miles.

During a solar eclipse, the moon lies directly between the earth and the sun. The moon's apparent diameter from the earth is nearly the same as the sun's apparent diameter.

Using the concept of similar triangles, we can set up the following proportion:

(2160 miles) / (240,000 miles) = (Sun's diameter) / (93 million miles)

Simplifying the equation, we can solve for the Sun's diameter:

Sun's diameter = (2160 miles) × (93 million miles) / (240,000 miles) ≈ 864,000 miles

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1) Experiment to find the density of the wood block without using a weighing scale:

a) Fill the pyrex beaker with a known volume of water.

b) Measure and record the initial water level in the beaker.

c) Carefully lower the wood block into the water, ensuring it is fully submerged.

d) Measure and record the new water level in the beaker.

e) Calculate the volume of the wood block by subtracting the initial water level from the final water level.

f) Divide the mass of the wood block (obtained from the second experiment) by the volume calculated in step e to determine the density of the wood block.

2) Experiment to measure the density of the wood block using a weighing scale:

a) Weigh the wood block using a weighing scale and record its mass.

b) Fill the pyrex beaker with a known volume of water.

c) Measure and record the initial water level in the beaker.

d) Carefully lower the wood block into the water, ensuring it is fully submerged.

e) Measure and record the new water level in the beaker.

f) Calculate the volume of the wood block by subtracting the initial water level from the final water level.

g) Divide the mass of the wood block by the volume calculated in step f to determine the density of the wood block.

Comparing the results from both experiments will provide insights into the porosity of the wood block. If the density calculated in the first experiment is lower than in the second experiment, it suggests that the wood block is porous and some of the water has been absorbed.

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The electronic throttle control (ETC) system offers the ability to eliminate certain components and mechanisms.

The electronic throttle control (ETC) system is a technology that replaces traditional mechanical linkages between the accelerator pedal and the engine throttle with an electronic sensor and actuator. By doing so, it provides several advantages in terms of efficiency, control, and safety. One significant benefit is the elimination of various components and mechanisms found in conventional throttle systems.

These include the throttle cable, throttle position sensor, idle air control valve, and cruise control module, among others. With the ETC system, these components are no longer needed, simplifying the overall design and reducing maintenance requirements.

Instead, the ETC system relies on electronic signals and actuators to precisely control the engine throttle opening, allowing for improved responsiveness and fuel efficiency. Furthermore, the elimination of mechanical linkages reduces the risk of failures or malfunctions associated with wear and tear. Overall, the ETC system streamlines the throttle control process while enhancing performance and reliability.

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Answer:

I would say b.rainforest

The mass of the water that will boil away is 0.045 kg or 45 grams.

To solve this problem, we need to calculate the heat gained or lost by each substance involved and then determine the mass of water that will boil away.

Let's calculate the heat gained or lost by the copper:

Heat gained by copper = mass of copper × specific heat capacity of copper × change in temperature

Since the copper is initially at 950°C and the final steady temperature is 100°C, the change in temperature for the copper is:

ΔT(copper) = (100°C - 950°C) = -850°C

Substituting the given values into the equation:

Heat gained by copper = (0.3 kg) × (4.0 x 10^2 J/kg·°C) × (-850°C)

= -102,000 J

Note that the negative sign indicates heat loss.

Next, let's calculate the heat gained or lost by the water:

Heat gained by water = mass of water × specific heat capacity of water × change in temperature

Since the water is initially at 25°C and the final steady temperature is 100°C, the change in temperature for the water is:

ΔT(water) = (100°C - 25°C) = 75°C

Substituting the given values into the equation:

Heat gained by water = (0.25 kg) × (4.2 x 10^3 J/kg·°C) × (75°C)

= 78,750 J

Now, let's determine the heat required to boil away a certain mass of water. We'll assume that all the heat gained by the copper is used to vaporize water.

Heat required to vaporize water = mass of water boiled away × specific latent heat of vaporization of steam

Since we want to find the mass of water that boils away, we can rearrange the equation:

Mass of water boiled away = Heat gained by copper / specific latent heat of vaporization of steam

Substituting the given values into the equation:

Mass of water boiled away = (-102,000 J) / (2.26 x 10^6 J/kg)

≈ -0.045 kg

Note that the negative sign indicates that water is being lost. However, mass cannot be negative, so we take the absolute value:

Mass of water boiled away ≈ 0.045 kg
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The required minimum design head for the distribution main is 169 meters.The flow rate of the distribution main, based on the minimum available design head, is 22.62 ML/d.

The trunk can serve approximately 2000 people.The current population of 7000 exceeds the number of people the trunk can serve, while the future population of 10000 exceeds the current capacity even more. Immediate measures to address this inadequacy could include increasing the capacity of the distribution main and constructing additional infrastructure.

a) To calculate the required minimum design head for the distribution main, we need to consider the difference in elevation between the top water level (TWL) of the service reservoir and the minimum residual head required. The minimum design head is the sum of the TWL, the minimum residual head, and the maximum variation in the subdivision's topography. In this case, the required minimum design head is 147 m + 22 m + 105 m = 169 meters.

b) To determine the flow rate of the distribution main, we need to use the Hazen-Williams equation, considering the pipe diameter, length, roughness coefficient, and available design head. By using the given values and applying the Hazen-Williams equation, the flow rate is calculated to be 22.62 ML/d.

c) Assuming an average demand of 250 L per person per day, the peak hour capacity (PH) is four times the average demand. Dividing the PH by the average demand per person per day gives us the approximate number of people that can be served by the trunk. In this case, 4 * 250 L = 1000 L, which can serve approximately 2000 people.

(d) Shortfall and excess of population served:

Given:

Current population = 7000

Future population = 10000

Shortfall = Current population - Number of people served

Shortfall = 7000 - 4

Shortfall = 6996

Excess = Number of people served - Future population

Excess = 4 - 10000

Excess = -9996

The trunk has a significant shortfall and a large excess population served.

Immediate measures to address these inadequacies could include:

Increasing the pipe diameter: By increasing the pipe diameter, the flow rate capacity of the distribution main can be enhanced, allowing for a larger population to be served.

Implementing water conservation measures: By promoting water-saving practices and efficient water use, the average demand per person can be reduced, thus allowing for a larger population to be served with the available infrastructure

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Answer:

1.Vector are quantities which have both magnitude and direction

Scalar are physical quantities which only have magnitude

Distance is Scalar

Displacement is Vector

2. Scalar

3. Vector

Distance: The total length covered by a moving object irrespective of the direction of motion(only magnitude and no direction)

Displacement: The distance measured in a straight line(linear distance) and in a specific direction (both magnitude and direction)

the 4th & 5th question im unsure, i apologize about it