A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the end of the slide traveling horizontally. As the drawing shows, one person hits the water 5.00 m from the end of the slide in a time of 0.270 s after leaving the slide. Ignore friction and air resistance, find the height H in the drawing.

Answers

Answer 1

Answer:

17.86 m

Explanation:

The first step is to find the velocity of the swimmer.

Velocity, v = s/t

Velocity, v = 5 / 0.27

Velocity, v = 18.52 m/s

Then, we find the height

h = ½gt²

h = ½ * 9.8 * 0.27²

h = 4.9 * 0.0729

h = 0.36 m

Next, we apply the law of conservation of energy

mgH = mgh + ½ mv²

9.8Hm = m(9.8 * 0.36 + 0.5 * 18.52²)

9.8H = 3.528 + 171.4952

9.8H = 175.02

H = 175.02 / 9.8

H = 17.86 m

Therefore, the needed height is 17.86 m


Related Questions

(TIMED) Sally Diamond observes that light striking a sheet of material at 26.7 degree angle to the surface is bent to an angle of 36 degrees relative to the normal as it passes through the material. Through what material is the light passing?

Pyrex
Ruby
Water
Crown glass

Answers

Answer:

Crown glass

Explanation:

We can use Snell's Law to determine the material through which the light is passing.

Snell's Law states that n1 sinθ1 = n2 sinθ2, where n1 and n2 are the indices of refraction of the two materials, θ1 is the angle of incidence, and θ2 is the angle of refraction.

In this case, we know that the angle of incidence is 26.7 degrees, and the angle of refraction is 36 degrees. We also know that air has an index of refraction of approximately 1.

Using Snell's Law, we can solve for the index of refraction of the material:

1 sin 26.7 = n2 sin 36

n2 = (1 sin 26.7) / (sin 36)

n2 ≈ 1.52

The index of refraction of the material is approximately 1.52. This corresponds to the index of refraction of crown glass, which is a common optical material used in lenses and prisms. Therefore, the light is most likely passing through crown glass.

I need help with this question

I need help with this question

Answers

Explanation:

a boy walks at 2m/s for 30sec and run at 5m/s for 20sec. what is his average speed

A capacitor is formed from two square plates of edge length a and separation d, with d <

Answers

Answer:

A capacitor is formed from two square plates of edge length a and separation d, with d <

Explanation:

A capacitor is formed from two square plates of edge length a and separation d, with d <

A ball is dropped from the top of a building.
When does the ball have the least potential energy?
O after it has hit the ground
O half way through the fall
O as it is released
O just before it hits the ground

Answers

Answer:

after it has hit the ground

.........

Answer: A. after it has hit the ground

A ball is dropped from the top of a building.When does the ball have the least potential energy?O after


Two different liquids are poured into a jar until it is half full. The jar is then sealed shut and shaken. The liquids undergo a chemical reaction that releases thermal energy and also
emits a new gas into the far. The new gas increases the pressure inside the jar. After the far is sealed, it is an example of an)

Answers

Answer:

A closed system.

Explanation:

The three major types of system are: open, closed and isolated. Open system interacts with its surroundings with respect to its particles and energy. A closed system interacts with its surroundings with respect to energy but not its particles. While an isolated system does not interact with its surroundings in any way.

Therefore, after the jar is sealed, it is an example of a closed system. This is because the emitted gas could not escape into the surroundings, but thermal energy was emitted into its surroundings after the chemical reaction has taken place.

A football player kicks a field goal from a distance of 45 m from the goalpost. The football is launched at a 35° angle above the horizontal. What initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground? Ignore air resistance and the dimensions of the football.

Answers

Answer:

The initial Velocity IS 3.53 cm

Explanation:

The initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground is 13.7 m/s.

Projectile

Projectile is the curved motion experienced by an object which is thrown in space.

Given an angle (θ) = 35°, acceleration due to gravity (g) = 10 m/s². u is initial velocity

The maximum height (h) is:

\(h=\frac{u^2sin^2\theta}{2g}\)

For the ball to reach 3.1 m above the ground:

\(3.1=\frac{u^2sin^2(35)}{2(10)} \\\\u=13.7 \ m/s\)

The initial velocity is required so that the football just clears the goalpost crossbar that is 3.1 m above the ground is 13.7 m/s.

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A woman does 236 J of work
dragging her trash can 24.4 m to
the curb, using a force of 18.9 N.
At what angle was her force
directed?

Answers

Answer:

workdone = force × distance 236J = 18.9cos(o) × 24.4236/24.4 = 18.9cos(o)(0.5117)cos^-1 = (o)59.21°

A woman does 236 J of workdragging her trash can 24.4 m tothe curb, using a force of 18.9 N.At what angle

unit 3 test waves sps4 physics need all answers

Answers

Answer:

What is the question on the testtt

Question is the answer period.

A 151 kg crate is pulled along a level surface by an engine. The coefficient of kinetic friction between the crate and the surface is 0.399. How much power must the engine deliver to move the crate at a constant speed of 6.04 m/s

Answers

Answer:

3566.26 Watts

Explanation:

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

Mass (m) of crate = 151 kg

Coefficient of kinetic friction (μ) = 0.399

Velocity (v) = 6.04 m/s

Power (P) =?

Next, we shall determine the normal reaction. This can be obtained as follow:

Mass (m) of crate = 151 kg

Acceleration due to gravity (g) = 9.8 m/s²

Normal reaction (R) = mg

Normal reaction (R) = 151 × 9.8

Normal reaction (R) = 1479.8 N

Next, we shall determine the force applied to move the crate. This can be obtained as follow:

Coefficient of kinetic friction (μ) = 0.399

Normal reaction (R) = 1479.8 N

Force (F) =?

F = μR

F = 0.399 × 1479.8

F = 590.44 N

Finally, we shall determine the power used to move the crate as follow:

Velocity (v) = 6.04 m/s

Force (F) applied = 590.44 N

Power (P) =?

P = F × v

P = 590.44 × 6.04

P = 3566.26 Watts

Therefore, the power used to move the crate is 3566.26 Watts.

what is the right optionA box is standing on a conveyor belt that is not in motion. At one point the belt starts moving with some acceleration. At that point the box starts moving too (without slipping). Which force is responsible for the acceleration of the box. a. The air resistance force. b. The force of the pull. c. The force of friction. d. The normal force.Answer only part B.

what is the right optionA box is standing on a conveyor belt that is not in motion. At one point the

Answers

After reaching a certain velocity and the belt continues to move at the constant velocity(to the right).

Let's select the correct free body diagram for the box.

When the belt was at rest and the belt was placed, the horizontal velocity was zero.

When the belt started moving with some acceleration, the force of friction will try moving the box to the opposite direction.

But in this case, the belt has attained a certain velocity which makes it to start moving at a constant velocity. At constant velocity acceleration iz zero.

Since it is moving at a constant velocity, the net force is zero since there is no acceleration.

Therefore, there will be no acceleration, there is zero net force.

The free body diagram will be:

Therefore, the correct free body diagram is option b.

ANSWER:

B.

what is the right optionA box is standing on a conveyor belt that is not in motion. At one point the

A slingshot consists of a light leather cup containing a stone. The cup is pulled back against two parallel rubber bands. It takes a force of 15 N to stretch either one of these bands 1.0 cm. (a) What is the potential energy stored in the two bands together when a 47-g stone is placed in the cup and pulled back 0.22 m from the equilibrium position?(b) With what speed does the stone leave the slingshot?

Answers

(A)  The potential energy stored in the two rubber bands together will be 9.90 J. (B) the speed of the stone when it leaves the slingshot will be 10.5 m/s.

To solve this problem, we need to use the formula for potential energy stored in a spring:

U = (1/2)kx²

where U is the potential energy, k is the spring constant, and x is the displacement from the equilibrium position.

(a) To find the potential energy stored in the rubber bands, we need to first calculate the spring constant. We know that it takes a force of 15 N to stretch one rubber band by 1.0 cm, so the spring constant for one rubber band is:

k = F/x = 15 N / 0.01 m = 1500 N/m

The two rubber bands are in parallel, so the effective spring constant for both of them together is:

ktotal = 2k = 3000 N/m

To calculate the displacement of the slingshot when the stone is pulled back. The equilibrium position is where the rubber bands are unstretched, so the displacement is:

x = 0.22 m

Finally, we can calculate the potential energy stored in the rubber bands:

U = (1/2)ktotal × x² = (1/2)(3000 N/m)(0.22 m)² = 9.90 J

Therefore, the potential energy stored in the two rubber bands together is 9.90 J.

(b) To find the speed of the stone when it leaves the slingshot, we need to use the conservation of energy:

U = K

where U is the potential energy stored in the rubber bands and K is the kinetic energy of the stone when it leaves the slingshot.

The potential energy stored in the rubber bands is 9.90 J, and the kinetic energy of the stone when it leaves the slingshot is:

K = (1/2)mv²

where m is the mass of the stone and v is its velocity.

We know the mass of the stone is 47 g, which is 0.047 kg. We can solve for the velocity:

v = √(2K/m) = √(2(9.90 J)/0.047 kg) = 10.5 m/s

Therefore, the speed of the stone when it leaves the slingshot is 10.5 m/s.

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Competition in the Los Angeles Flower District results in
higher floral prices
better quality flowers
poor customer service

Answers

Competition in the Los Angeles Flower District results in better quality flowers.

Why quality is the standard in flower competition?

Competition results in better quality flowers because in the competition, best quality of flowers will be selected as a winner so the competitors produces best quality of flowers in order to claim the prize so we can conclude that Competition in the Los Angeles Flower District results in better quality flowers

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Equipotential Surfaces: A region of space contains a uniform electric field directed in the positive x direction as shown. Among the following the correct statements about the electric potential is: Select one: VYYc b. V₁ V₂ Ve d. We can't judge ​

Equipotential Surfaces: A region of space contains a uniform electric field directed in the positive

Answers

The true statement about the electric potential for the equipotential surface is  \(V_A = V_B = V_C\)

What is equipotential surface?

A surface with an equipotential potential is one where all points on the surface have the same electric potential. .

That is an equipotential surface is that surface at every point of which, the electric potential is the same.

The formula for the potential across every point on the surface is given as;

V = F/Q x R

V = ER

where;

E is the electric field across the surfaceR is the distance or position of the charge

Since the surface is equipotential with uniform electric across the surface, the electric potential at any point across the surface will be the same.

So \(V_A = V_B = V_C\)

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Give reason:
a) In 'coin on card' experiment a smooth card is used.​

Answers

Answer:

Please mark as brainliest!!

Explanation:

In coin card experiment smooth card is used so that the card can slide easily from glass.

Answer:

In coin card experiment smooth card is used so that the card can slide easily from glass.

What does the law of conservation of energy state?
energy cannot be destroyed but it can change forms
energy always gets used up in every chemical reaction
energy can be destroyed but not created
energy is always the same and it cannot be changed

What does the law of conservation of energy state?energy cannot be destroyed but it can change formsenergy

Answers

I think it is "energy cannot be destroyed but it can change forms".

Help with Physical Science question?

Help with Physical Science question?

Answers

Answer: The answer is a because that's where it would be after it bounced

Which describes how the spring constant affects the potential energy of an object for a given displacement from an equilibrium position?
A the higher the spring constant, the greater the gravitational potential energy.
B The lower the spring constant, the greater the gravitational potential energy.
C The higher the spring constant, the greater the elastic potential energy.
D The lower the spring constant, the greater the elastic potential energy

Answers

Answer:

Based on the answer choices provided, the correct answer is:

C, The higher the spring constant, the greater the elastic potential energy.

Explanation:

The spring constant is best defined as the measure of a spring's resistance to force (in regards to factors such as stretching and compression).

Thus, the higher the spring constant, the stiffer the string - this equates to greater elastic potential energy (think of stretching a rubber band or using it as a slingshot).

Hope this helps!

Answer:

C.) The higher the spring constant, the greater the elastic potential energy.

Explanation:

statics and strength of materials

statics and strength of materials

Answers

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is 0.8 kN.

What is the force P?

The magnitude of the force P provided that the stress in the part AB is two times that of BC part is calculated as follows;

Take moment about the joint to determine the magnitude of the force along part BC.

120 kN x 750 mm  =  F x 1000 mm

F = ( 120 kN x 750 mm ) / ( 1000 mm )

F = 90 kN

Stress is given as force divided by area. The following equation can be used to determine the magnitude of force P.

Stress in AB = 2 times stress in BC

P/A₁  = 2F/A₂

where;

A₁ is the area of segment ABA₂ is the area of segment BC

A₁ =  πd²/4  =  π(50 x 10⁻³)²/4

A₁ = 1.96 x 10⁻⁵ m²

A₂ = πd²/4  =  π(75 x 10⁻³)²/4

A₂ = 4.42 x 10⁻³ m²

P/A₁ = 2F/A₂

P = (2F x A₁) / (A₂)

P = (2 x 90 kN x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = (2 x 90,000 N x 1.96 x 10⁻⁵ m² ) / ( 4.42 x 10⁻³ m² )

P = 798.2 N

P = 0.798 kN

P ≈ 0.8 kN

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A sphere with the same mass and radius as the original cylinder, but a smaller rotational inertia, is released from rest from the top of the ramp. KS and KC are the sphere's and cylinder's total kinetic energy at the bottom of the ramp, respectively. How do KS and KC compare, and why

Answers

Answer:

The Kinetic energy of Sphere is higher than the cylinder.

( KS > KC )

Explanation:

Given - A sphere with the same mass and radius as the original cylinder, but a smaller rotational inertia, is released from rest from the top of the ramp. KS and KC are the sphere's and cylinder's total kinetic energy at the bottom of the ramp, respectively.

To find - How do KS and KC compare, and why ?

Proof -

We know that,

The total energy of an object =  Potential energy +  linear kinetic energy + rotational kinetic energy.

⇒E = mgh + \(\frac{1}{2} mv^{2}\) + \(\frac{1}{2} l\omega^{2}\)  

Now,

Mass of sphere = m

Radius of sphere = r

So,

The moment of inertia of a uniform solid sphere = \(\frac{2}{5} mr^{2}\)

Also,

Mass of cylinder = m

Radius of cylinder = r

So,

The moment of inertia of a uniform solid cylinder = \(\frac{1}{2} mr^{2}\)

Now,

Total energy for the sphere , Es = mgh + \(\frac{7}{10} mv^{2}\)

Total energy for the cylinder, Ec =  mgh + \(\frac{3}{4} mv^{2}\)

As they always have the same total energy,

So, for height h of the sphere's velocity has to be higher.

Therefore,

The Kinetic energy of Sphere is higher than the cylinder.

Answer:

KS < KC

Explanation:

Two plane mirrors are stood vertically making a right angle between them. How many images of an object close to and in front of the mirrors can be seen

Answers

Answer:

3

Explanation:

When two plane mirrors are placed side by side such that they make some angle, θ, with each other, the number of images, n, of an object placed close to and in front of these mirrors is given by;

n = (360 / θ) - 1         ------------(i)

From the question;

θ = 90°            [since they stood making a right angle with each other]

Substitute this value into equation (i) as follows;

n = (360 / 90) - 1

n = 4 - 1

n = 3

Therefore, the number of images formed is 3

How is adding the gray wolf back into the food web most likely to affect other species in the food web?

Answers

Answer:

The Grey Wolf will most likely kill off the other animals in the food web and throw off the pattern/cycle. Adding it back would probably be the death of many other animals.

Explanation:

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A ball is thrown from the catcher to the 3rd baseman with a speed of 20
meters per second. If it travels 30 m, how long did it take to get to the 3rd
baseman?

Answers

Answer:

The ball took 1.5 seconds to get to the 3rd baseman

Explanation:

Constant speed motion

If a body travels the same distance per unit of time, the body has a constant speed. The equation for the distance x is:

x=v.t

Where v is the constant speed and t is the time.

Solving for t:

\(\displaystyle t=\frac{x}{v}\)

The ball is thrown with a speed of v= 20 m/s and travels x=30 m, thus the time taken is:

\(\displaystyle t=\frac{30}{20}=1.5\)

The ball took 1.5 seconds to get to the 3rd baseman

How long does it take for a current of 9.3x10-3 A to transfer a charge of 12 C?

Answers

Given:

Current = 9.3 x 10⁻³ A

Electric Charge = 12 C.

Let's find how long it will take for the current to transfer the electric charge.

To find the time, t, apply the formula:

\(Q=It\)

Where:

Q is the electric charge = 12 C

I is the electric current = 9.3 x 10⁻³ A

t is the time in seconds

Let's rewrite the equation for t:

\(t=\frac{Q}{I}\)

Thus, we have:

\(t=\frac{12}{9.3\times10^{-3}}=1290.3\)

Therefore, it will take 1290.3 seconds for the current to transfer the charge.

ANSWER:

1290.3 s

If you hold a 35.27 cm square plane mirror 60.02 cm from your eyes and can just see the full length of a 4.93 m flag pole behind you, how far are you from the pole?

Answers

We are given the following situation:

Where:

\(\begin{gathered} h_0=height\text{ of the object} \\ h_i=\text{ height of the image} \\ d_i=\text{ distance to the image} \\ d_0=\text{ distance of the object} \end{gathered}\)

We will determine the height of the image by determining the height of the mirror. To do we use the area of the mirror. If the mirror is a square then its area is given by:

\(A=h^2\)

Substituting the value of the area:

\(35.27cm^2=h^2\)

Now, we take the square root to both sides:

\(\sqrt{35.27cm^2}=h\)

Solving the operations:

\(5.9cm=h\)

Therefore, the height of the image is 5.9cm.

Now, we determine the magnification using the following formula:

\(M=\frac{h_i}{h_0}\)

Substituting the values in the formula we get:

\(M=\frac{0.059m}{4.93m}=0.012\)

The magnification is also equal to:

\(M=-\frac{d_i}{d_o}\)

Now, we solve for the distance of the object. First, we multiply both sides by the distance of the object:

\(Md_o=-d_i\)

Now, we divide both sides by the magnification:

\(d_o=-\frac{d_i}{M}\)

Now, we plug in the values:

\(d_o=\frac{-60.02cm}{0.012}\)

Solving the operations:

\(d_o=-5015.23cm\)

Now, the distance from the observer to the pole is the difference between the distance of the object and the distance of the image:

\(d=d_0-d_i\)

Substituting we get:

\(d=5015.23cm-60.02cm=4955.2cm\)

Therefore, the pole is at 4955.2 cm.

If you hold a 35.27 cm square plane mirror 60.02 cm from your eyes and can just see the full length of

7.2
8
How is kinetic
molecular
model of matter helpful in
differentiating various states
of matter?
V

Answers

Answer:

The kinetic molecular theory of matter asserts that: Matter is made up of particles that are continually moving. All particles contain energy, however the energy fluctuates depending on the temperature the sample of matter is in. This in turn decides whether the material exists in the solid, liquid, or gaseous form.

Explanation:

Hope it helps:)

Because it helps us figure out differences of

A uniform30 cmruler of mass50 gis attached to a friction-less vertical wall by a nail through one end. A horizontal force F=0.545 Nis applied to the end of the rod. If the rod is tilted at 40∘ from the vertical, what is the angular acceleration of the rod (around the nail) at this instant? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g.0.23,−2,1e6, 5.23e-8

Answers

The value of the angular acceleration of the rod is approximately equal to 0.0055 rad/s².

To find the angular acceleration of the rod, we need to first determine the torque acting on the rod around the nail. The torque is given by the formula:

torque = force * distance * sin(angle)

Where: 'force' is the applied force F, 'distance' is the distance between the point where the force is applied and the point around which the torque is calculated (in this case, the nail) and 'angle' is the angle between the force and the distance vector

Plugging in the values, we get:

torque = 0.545 N * 30 cm * sin(40°) = 4.14 N cm

We can then use the formula for torque to calculate the angular acceleration:

torque = moment of inertia * angular acceleration

The moment of inertia of a rod about an end is given by:

moment of inertia = mass * length² / 12

Plugging in the values, we get:

moment of inertia = 50 g * (30 cm)² / 12 = 750 g*cm^2

Solving for angular acceleration, we get:

angular acceleration = torque / moment of inertia = 4.14 N cm / 750 gcm² = 0.0055 rad/s².

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(Ic) Asmall ball carrying a charge of -3.0x10-12C experiences an east ward force of 8.0×10 N due to its charge when it is suspended at a certain point in space. What is the magnitude and direction of Eat that point? ​

Answers

The magnitude of the electric field is \(2.67*10^6 N/C\), and its direction is westward.

To determine the magnitude and direction of the electric field at the point where the small ball is suspended, we can use the formula for the electric field:

Electric field (E) = Force (F) / Charge (q)

Given:

Charge of the ball (q) = \(-3.0*10^{(-12)} C\)

Force experienced by the ball (F) = \(8.0*10^{(-6)}\) N (eastward)

Plugging in the values into the formula:

E = F / q

E = \((8.0*10^{(-6) }N) / (-3.0*10^{(-12)} C)\)

Let's calculate the electric field:

E = -\(2.67*10^6 N/C\)

The magnitude of the electric field is\(2.67*10^6 N/C\). The negative sign indicates that the electric field is pointing in the opposite direction to the force experienced by the ball, which in this case is westward.

Therefore, the magnitude of the electric field is \(2.67*10^6 N/C\), and its direction is westward.

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If 600 J of energy of chemical energy is contained inside the gasoline in a gas tank, how much work can the engine perform on the car? What kinetic energy can be achieved?

Answers

Kinetic energy will be 600J. According to law of conservation energy: All the energy in a system will simply change the state, and no more nor less energy will be created or lost during the operation of the system. In this case, then all 600J of energy will be transformed during the operation of car.

This chemical energy, what is it?

kinetic energy, Chemical compounds' bonds contain energy. Chemical reactions have the potential to release chemical energy, frequently in the form of heat; these kinds of reactions are referred to as exothermic. Some of the energy from reactions that need heat input to continue may be stored as chemical energy in newly formed bonds.

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PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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A student's research indicates that Pluto's radius is 1.172 x 10 m and its mass is
1.2 x 1022 kg.

a. Calculate the gravitational field strength at Pluto's surface.

b. calculate the force of gravity at Pluto’s surface of an object with a mass of 100kg

Answers

The gravitational field strength at Pluto's surface is 5.827 x 10⁹ N/kg.

The force of gravity between the object and Pluto's surface is 5.827 x 10¹³ N.

What is the gravitational field strength at Pluto's surface?

The gravitational field strength at Pluto's surface is calculated as follows;

G_E = GM/r²

where;

M is mass of the Plutor is the radius of PlutoG is universal gravitation constant = 6.67 x 10⁻¹¹ Nm²/kg²

G_E = (6.67 x 10⁻¹¹ x 1.2 x 10²²) / (1.172 x10)²

G_E = 5.827 x 10⁹ N/kg

Force of gravity between the object and Pluto's surface

The force of gravity between the object and Pluto's surface is calculated as follows;

F = GMm/r²

F = (6.67 x 10⁻¹¹ x 1.2 x 10²² x 100) /(1.172 x 10)²

F = 5.827 x 10¹³ N

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[tex]cosx -1 =sin^{2}x[/tex] solution What is the best definition of allegory a story in which animals?. Danny and his classmates placed colored blocks on a scale during a science lab. The red block weighed 1.5 pounds and the yellow block weighed 1.056 pounds. How much more did the red block weigh than the yellow block? Gravity is the force that objects exert on each other because of their masses. The strength of the gravitational force between two objectsdepends on two factors, mass and distance. How is gravity related to mass and distance? Choose ALL the statements that apply.If one of the masses is doubled, the force of gravity between the objects is doubled.As distance between the objects increases, the force of gravity decreases.As distance between the objects increases, the force of gravity increases.The more mass two objects have, the less the force of gravity the masses exert on each otherGreater mass results in greater force. A 36,287 kg truck has a momentum of 907,175 kg meters per second. what is the trucks velocity? meters per second what is gene gun method and microinjection Answer both parts complete correct and super fast to get thumbs up and a good comment!!Part A:To find:1) Variable cost2) Average cost3) Fixed costData:Units = 25 units/hourFixed cost per unit = 15.25$Labor cost per hour = 12$ per personRequired labor per hour = 10Material cost = 0.075$ per unitPart B:One client requested 15 additional uniter per hour and willing to pay 10$ per unit for the remaining units. Determine the marginal cost? Chloes Cafe bakes croissants that it sells to local restaurants and grocery stores. The average costs to bake the croissants are $0.90 for 3,000 and $0.85 for 6,000.Required:If the total cost function for croissants is linear, what will be the average cost to bake 5,200? (Do not round intermediate calculations. Round your final answer to 4 decimal places.) A trampoline park costs $12 for the first hour and $6 for each additional hour. Flynn pays $30 at the trampoline park. Select the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour. A. 12x + 6 = 30; 3 hours B. 6x + 12 = 30; 3 hours C. 6x + 12 = 30; 2 hours D. 12x + 6 = 30; 2 hours Two angles aresupplementary. One measures7x - 9and the other measures4x + 3. Findxand the measure of thesmallerangle On the internet, the entity that looks up a domain name and retrieves information about it is the? The line plot shows the number of hours students in Mrs. Timberlakes class worked on a project. How many students are included in the data? Helppp please I need help asap!!! give two examples of organisms that are preferred to as decomposers. 50 g/cm = kg/m plz I need help Calculate the pH of each of the following solutions.(a) 7.7 104M Ba(OH)2:(Enter your answer in scientific notation.)(b) 3.7 104 M HNO3: heyyy, please answer :] Mildred knows that she will not have bonus dollars to reward her high-performing management team this year due to a shortfall in company profits. Furthermore, a company wide hiring and promotion freeze will prohibit her from hiring entry-level workers to allow existing staff to be promoted to higher levels. In response, she has arranged for her management team to attend the annual corporate planning meeting, affording them a unique opportunity to interact with and gain recognition by company executives. Mildred instituted this non monetary reward because ______ and ______ are two examples of intermolecular forces. Solve the equation. Check your Solution.-3 1/3 -1/2