Rhea, with a radius of 7.63 x 105 m, is the second-largest moon of the planet Saturn. If the mass of Rhea is 2.31 x 1021kg, what is the acceleration due to gravity on the surface of this moon?

Answer:

4.5s

Explanation:

Same amount of time it takes for the package to land if it was dropped from an helicopter hovering on the spot. As long as the plane wasn't diving towards the victims - but at that point it wouldn't be traveling horizontally, the supplies have no starting vertical velocity, so they take

[tex]100 m = \frac12 (9.81 ms^-^2)t^2 \rightarrow t^2 \approx 20.39 s^2 \rightarrow t \approx 4.5s[/tex] to hit the ground, air resistance notwithstanding. The plane speed will just tell you that the package will land a bit short of 300 meters in the direction the plane was traveling.

Answer:

See below

Explanation:

2√t/(3(√t)^2)        I added parentheses for what I think you were asking ​

This equals   2/3  *  t^1/2  / t

                       = 2/3  * t ^-1/2

  derivative is     -1/2  * 2/3  * t ^(-1/2 -1)

                             - 1/3 t^(-3/2)

Answer:

In a rhetorical essay you only analyze and cite 1 source in a persuasive essay you cite and analyze many different sources

Explanation:

Velocity is the rate of change of displacement with time while acceleration refers to the rate of change of velocity with time.

Deceleration means the amount a speed or velocity decreases.

Velocity = displacement / time

Velocity is measured in m/s ( meters per second)

Acceleration = velocity / time and is measured in m/s2 ( meters per second square )

This also means that velocity differ from acceleration in that they have different unit as velocity is measured in m/s and acceleration is measured in m/s2

Velocity can simply be defined defined as the rate of change of velocity with time. It is a derived quantity. That is, a quantity which is obtained from the combination of one or more fundamental quantities. The units of derived quantities are called derived units.

So therefore, velocity is the rate of change of displacement with time while acceleration refers to the rate of change of velocity with time. Deceleration means the amount a speed or velocity decreases.

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Answer:

interpolation

Explanation:

I got it right on the test.

15.8m/s is the final velocity

Deceleration is calculated by dividing the final velocity minus the initial velocity by the time it takes for this velocity to drop. Here the acceleration formula can be used with a negative sign to determine the deceleration value.

The rate of change of the velocity of an object in the time is known as Acceleration . Velocity is defined as the speed of an object in motion by time.

here we know that the initial velocity is 32m/s.

the deceleration is -1.5m/s2 and the time taken is 10.8s

so from the formula

                                       V=U + at

  = 32+-1.5 x10.8

  =15.8m/s          

So the final velocity is 15.8m/s

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a. The the smallest radius of curvature for the track that the train can tolerate is 4.44 km

b. The speed must the train mantain to keep the acceleration at the limit is 25 m/s

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

Making r subject of the formula, we have

r = v²/a

Given that the train has a speed of 181 km/hr and its acceleration must not exceed 0.058g, we have that

So, substituting the values of the variables into the equation for r,we have

r ≥ v²/a

r ≥ (50.28 m/s)²/0.569 m/s²

r ≥ 2528.0784 m²/s²/0.569 m/s²

r ≥ 4443.02 m

r ≥ 4.44 km

So, the the smallest radius of curvature for the track that the train can tolerate is 4.44 km

Using the equation for centripetal acceleration, we find the radius of the circle the train can tolerate.

So, centripetal acceleration a = v²/r where

Making v subject of the formula, we have

v = √ar

Given that there is a curve of radius 1.100 km and its acceleration must not exceed 0.058g, we have that

So, substituting the values of the variables into the equation for r,we have

v = √ar

v = √(0.569 m/s² × 1100 m)

v = √(625.9 m²/s²)

v = 25.02 m/s

v ≅ 25 m/s

So, the speed must the train mantain to keep the acceleration at the limit is 25 m/s

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The autographed baseball rolled off at 0.3762m/s before it fell off.

Acceleration is the rate of change of the velocity of an object with respect to time.

Given the following data:

Initial velocity = 0 m/s (assuming it started from rest).

Vertical distance = 1.2 meters

Horizontal distance = 0.76 meters

Acceleration due to gravity = 9.81

To find how fast the autographed baseball was rolling on the desk before it fell off:

we will use the second equation of motion to determine the time required:

S = ut + 1/2at²

Where:

S is the displacement or distance covered.

u is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting the given values into the formula, we have;

S = ut + 1/2at²

=0*t + 1/2 * 9.81 * t²

t = 2.02 seconds

Next, we would determine the horizontal speed:

horizontal speed= horizontal distance/time

horizontal speed=0.76/2.02

horizontal speed=0.3762m

Horizontal speed = 0.3762m/s

Therefore, the autographed baseball rolled off at 0.3762m/s before it fell off.

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Answer:

Your answers are A and C.

Explanation:

Have an amazing day/night. I am so sorry I do not have the explanation you are looking for. But I did get this right on the assignment.

Dream theories have in common that they are related to conceptions about reality.

Dream theories are a series of theories that focus on explaining the dreams that an individual experiences when sleeping.

There are three main theories about dreams that are:

Activation-synthesis theory: This theory states that the brain is randomly activated during sleep and that brain activity is generally associated with memories and sensory information.

Theory of psychoanalysis: This theory states that dreams contain unconscious information for the individual about his interpretation of reality. This information is later synthesized and processed by reason so that the individual takes it as a meaningful message.

Threat Rehearsal Theory: This theory states that dreams are "rehearsals" of risk situations in which situations that are considered dangerous to the individual are simulated and in which the brain is trained to act in them.

The main similarity that these three theories have is that they are related to the interpretation that the individual has of his reality and the sensory information of his interaction with the environment.

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The braking distance of the car, given the data from the question is 145.784 m

From the question given above, the following data were obtained:

The breaking distance of the car can be obtained as illustrated below:

s = ut + ½at²

s = (60 × 2.44) + (½ × -0.207 × 2.44²)

s = 146.4 + (-0.616)

s = 146.4 - 0.616

s = 145.784 m

From the calculation made above, we can conclude that the breaking distance of the car is 145.784 m

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The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 and the arc length separating the two hands is 1.0 m is  81.8°.

The angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 m and the arc length separating the two hands is 1.0 m is determined as follows:

Total angle in a clock = 360°

radius of the clock, r = 0.70

Circumference of the circle = 2πr

Length of the arc = 1.0 m

Angle that makes the arc length = θ

Length of arc, l = θ/360 * 2πr

Angle that makes the arc length, θ = l * 360/2πr

Angle that makes the arc length, θ = 1.0 * 360 * 7/ (2 * 22 * 0.7)

Angle that makes the arc length, θ = 81.8°

In conclusion, the angle of rotation (in degrees) between two hands of a clock if the radius of the clock is found from the length of the arc and the  radius of the clock.

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Answer: the trapping of the sun's warmth in a planet's lower atmosphere, due to the greater transparency of the atmosphere to visible radiation from the sun than to infrared radiation emitted from the planet's surface.

Explanation:

Answer:

The greenhouse effect is a process that occurs when energy from a planet's host star goes through its atmosphere and heats the planet's surface, but greenhouse gases in the atmosphere prevent some of the heat from returning directly to space, resulting in a warmer planet

The dimension of the amplitude, A is L.

The amplitude of a wave is the maximum displacement of the wave.

The amplitude of a wave is measured in the units of meters.

The given displacement of the light wave;

x = A sin(2πft)

where;

Since amplitude of a wave measures the wave's displacement, then amplitude will have the same dimension as displacement.

A = meters = L

Thus, the dimension of the amplitude, A is L.

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The Force of Gravitational Attraction is 34.85 ×10²¹N

Gravitational Force is the force acting between two masses separated by a distance. It is dependent on the magnitude of the masses and the distance between the two masses.

The mathematical relation is as follows:

F = Gm₁m₂/r²

where G is Gravitational Constant

m₁ is mass of first body

m₂ is mass of second body

r is the distance between the two masses

Given,

m₁ = 1.989×10³⁰

m₂ = 5.974×10²⁴

r = 1.5×10¹¹

G = 6.6×10⁻¹¹Nm²/kg²

On Substituting the above values,

F = 6.6×10⁻¹¹ × 5.974×10²⁴×1.989×10³⁰/(1.5×10¹¹)²

F = 34.85 ×10²¹N

Hence, the Force of Gravitational Attraction is 34.85 ×10²¹ N

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Answer:

b

Explanation:

Answer:

The Newton's Laws Review includes 60 questions of varying type. Questions pertain to Newton's three laws of motion with an emphasis on the following concepts: inertia, mass, force, the Newton, weight, gravity, free-body diagrams, normal force, tension, spring force, friction, coefficient of friction, force of gravity, net force, acceleration, free fall, acceleration of gravity, air resistance, and terminal velocity. All mathematical analyses are restricted to physical situations in which the object moves in one-dimension - usually either horizontally or vertically (but never both at the same time).

The car reaching to the given speed at the time, t = 0.264 s

To know the time of the car reaching to the given time use formula,

s = d / t

where,

s is speed

d is distance

t is time

Given,

distance, d = 125m

speed, s = 33m/s

time, t = ?

Putting values,

33m/s = 125 m / t

t = 33 m/s / 125m

t = 0.264 s

Speed is calculated as follows: speed = distance x time. Knowing units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example because the distance is measured in metres (m) and the time is measured in seconds (s).

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The speed of the second marble must be 14.8 m/s so that the two marbles reach the ground at the same time.

The time taken by the first stone to reach the ground is calculated using the formula below:

h = ut + ¹/₂gt²

where:

From the data provided;

h = 30, u = 10m/s, g = 9.8 m/s

30 = 10t  + 0.5 * 9.8t²

30 = 10t + 4.9t²

4.9t² + 10t - 30 = 0

t = 1.65 s

For the second marble, time taken = 1.65 - 0.50

t = 1.15 s

Initial velocity, u will be:

30 = u(1.15)  + 0.5 * 9.8 * 1.15²

1.15u = 30 - 12.96

u = 14.8 m/s

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Answer:

Weight

Explanation:

If it is wrong then tell me to edit my answer

Velocity is the change in displacement of an object with time, while acceleration is the change in velocity of an object with time and deceleration is the acceleration in the negative direction.

The acceleration of an object is the rate of change of velocity of the object with time.

a = Δv/Δt

where;

The velocity of an object the rate of change of displacement of the object with time.

v = Δx/Δt

where;

Deceleration is acceleration in the acceleration of an object in the negative direction.

Thus, velocity is the change in displacement of an object with time, while acceleration is the change in velocity of an object with time and deceleration is the acceleration in the negative direction.

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The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.

From the first equation of equation of motion, final velocity is the sum of the initial velocity and the product of acceleration and time.

It is expressed as;

v = u + at

Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.

Given the data in the question;

Plug the given values into the first equation of motion and solve for v.

v = u + at

v = 6m/s + ( 85m/s² × 5s )

v = 6m/s + 425ms/s²

v = 6m/s + 425m/s

v = 431m/s

The final velocity of the Maserati after accelerating at the rate of 85 m/s² for 5 seconds is 431m/s.

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A drone starts from rest and travels 50m with an acceleration of 5 m/s2. it takes 4.5s.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

u= 0m/s

s = 50m

a = 5m/s²

t = ?

s = ut + 1/2 at²

50 = 0 + 1/2 * 5 * t²

t² = 50 *2/5

t² = 20s

t = 4.47s

t = 4.5s

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Answer:

Brain imaging aka Neuroimaging explores a series of mechanisms such as cognition, information processing, and brain changes in the functioning state. In addition, MRI, Magnetic resonance imaging, is a medical imaging test that produces detailed images of the brain.

Explanation:

The correct answer is :

Unit vectors I and j along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.

We can obtain the horizontal component by applying the trigonometric identity of Cos(Ф), and if we obtain the component on the x axle, such as 22000 (m)×Cos(51°) = x, we may determine that x = 13845.05 metres. We need to obtain the vector components because we already know the distance and the angle.

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v=u+at

where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

From the question

u = 10 m/s

a = 6 m/s²

t = 20 s

Substitute the values into the above formula and solve

That's

v = 10 + 6(20)

= 10 + 120

We have the final answer as

130 m/s

The time taken for the ball to hit the ground from a height of 1.8 m is 0.61 seconds

From the question given above, the following data were obtained:

The time taken for the ball to hit the ground can be obtained as illustrated below:

h = ½gt²

1.8 = ½ × 9.8 × t²

1.8 = 4.9 × t²

Divide both side by 4.9

t² = 1.8 / 4.9

Take the square root of both side

t = √(1.8 / 4.9)

t = 0.61 s

Thus, it will take 0.61 seconds for the ball to hit the ground

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The description of the period and the group in accordance with the atomic structure can be found below.

Periodic table is the tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).

The periodic table is made up of groups and periods. The groups are the vertical columns of the periodic table arranged based on the outer shell electrons while periods are the horizontal rows of the periodic table.

Elements in the same period have the same number of outer electrons and have the same number of electron shells while elements in the same group have the same number of outermost electrons, hence, behave chemically similar.

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The heat lost in this case is obtained as 2537.1 kJ.

We know that heat is the form of energy that exists due to temperature difference between two bodies. In this case, the village blacksmith dunks a red-hot horseshoe into a large bucket of 22°C water. This led to the evaporation of  0.981 kg of water.

Now there are two distinct processes here;

The total heat lost = mcdT + mL

= 0.981 kg  * 4187 J/kg°C * ( 100 - 22) +  0.981 kg  *  2,260,000 J/kg

H = 320 kJ + 2217

H = 2537.1 kJ

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