A stone sphere of radius 7.00 m rests in a flat field. Relative to the ground, what is the gravitational potential energy of a 90.0-kg person sitting on the very top of the sphere?
a. 7.76 x 104 J
b. 1.23 x 104 J
c. 3.88 x 104 J

Answers

Answer 1

Answer:

(B)  1.23 x 10 J

Explanation:

Given;

radius of the sphere, r = 7.0 m

diameter of the sphere, d = 2r = 14.0 m

mass of the person sitting on the sphere, m = 90.0 kg

The gravitational potential energy of the person is given by;

P.E = mgh

where;

g is acceleration due to gravity = 9.8 m/s²

h is the height above the ground level = d = 14.0 m

P.E = mgh

P.E = (90)(9.8)(14)

P.E = 12348 J

P.E = 1.2348 x 10 J

Therefore, the gravitational potential energy of the person is 1.2348 x 10 J


Related Questions

A projectile is projected from the origin with a velocity of 45.0 m/s at an angle of 30.0 degrees above the horizontal. What is the velocity when the projectile hits the ground?

Answers

Answer:

velocity = 44.98 m/s

Explanation:

given data

velocity = 45.0 m/s

angle = 30.0 degrees

solution

first we get here time that is

time = 2u × sin θ ÷ g   .............1

time = 2×45 × sin 30 ÷ 9.8

time = 4.59 sec

and

velocity = [tex]\sqrt{vx^2+vy^2}[/tex]   .....................2

here

vx = 45 cos30 = 38.97 m/s

vy = uy - gt

vy = 45 sin30 - 9.8 ×  4.59  = -22.48 m/s

so velocity will be

velocity = [tex]\sqrt{38.97^2+22.48^2}[/tex]

velocity = 44.98 m/s

Does the weight of the projectile affect the horizontal range?

Answers

Answer:

no

Explanation:

This downward force and acceleration results in a downward displacement from the position that the object would be if there were no gravity. The force of gravity does not affect the horizontal component of motion; a projectile maintains a constant horizontal velocity since there are no horizontal forces acting upon it.

In a computational model of energy changes experienced by an object in free fall, the value of 9.8 appears in several of the formulas. What does this value represent ? (1 point)

Answers

Answer:

1. acceleration due to gravity

2. =$B$2-9.8*C2

3. the total energy stays the same over time

4. the total energy of the object will decrease

5. the initial potential energy will increase

Explanation:

Answer:

The person below or above me is correct use this answer.

Explanation:

What would happen if there was a sudden increase in the amount of greenhouse gases in Earth’s atmosphere?

Earth would suddenly cool down because more heat would leave the Earth system and go back to space.
Earth would suddenly cool down because solar radiation would not be able to flow through the atmosphere.
Earth would suddenly warm up because more heat from the atmosphere would be radiated toward Earth’s surface.
Earth would suddenly warm up because more heat from the Sun would be allowed to enter the atmosphere.

Answers

Answer:

Earth would suddenly warm up because more heat from the Sun would be allowed to enter the atmosphere.

Explanation:

The greenhouse gasses would make the ozone layer thinner letting in more harmful rays on the sun.

Hope this helps!! :)

Also I need one more brainliest if you dont mind giving it to me :)

Answer:

Earth would cool down because it would reflect more solar radiation.     it would be A.

Explanation:

In a two-slit experiment using coherent light, the distance between the slits and the screen is 1.10 m, and the distance between the slits is 0.0400 mm. If the second order bright fringe is measured to be 4.20 cm from the centerline on the screen, what is the wavelength of light?
A) 620 nm
B) 200 nm
C) 401 nm
D) 763 nm
E) 381 nm

Answers

Answer:

D) 763 nm

Explanation:

Calculation for the wavelength of light

Using this formula

Wavelength of light=Delta Y*Distance / Length

Where,

Delta Y represent the 2nd order bright fringe

Length represent the distance between both the slits and the screen

Distance represent the Distance between the slits

Let note that cm to m = (4.2) x 10^-2 and mm to m= ( 0.0400x 10^-3)

Now Let plug in the formula

Wavelength of light=[(4.2 x 10^-2m)(0.0400 x 10^-3m) / 2(1.1m)]*10^-7 meters

Wavelength of light=[(0.042m) (0.0004m)/2.2m]*10^-7 meters

Wavelength of light =(0.0000168m/2.2m)*10^-7 meters

Wavelength of light =7.63 *10^-7 meters

Wavelength of light =763 nm

Therefore the Wavelength of light will be 763 nm

A horizontal force of 100 N is required to push a 50 kg crate across a factory floor at a constant speed. What is the acceleration on the cart?​

Answers

Answer:

a = 2m/s^2

Explanation:

Force (F) = 100 N

Mass (m) = 50 kg

Here,

F = m×a

100 = 50 × a

a = 100÷50

a = 2m/s^2

Thus, the acceleration on the cart is a = 2m/s^2

-TheUnknownScientist

Which is the MOST accurate description of this type of cell?
O A) It is a eukaryotic cell.
OB) It is a prokaryotic cell.
OC) It does not contain DNA.
OD) It does not contain a membrane-enclosed nucleus.

helpppppppp first person who answers gets a brainly if it’s right

Answers

It would be

O A) It is a eukaryotic cell.

According to Ohm’s law, which combination of units is the same as the unit for resistance? volt ÷ ampere ampere × volt volt + ampere ampere ÷ volt

Answers

Answer:

volt ÷ ampere

Explanation:

The mathematical form of Ohms law is given by :

V = IR

Where V is voltage

I is current

R is resistance

[tex]R=\dfrac{V}{I}[/tex]

The unit of voltage is volt and that of current is ampere

Unit of resistance :

[tex]R=\dfrac{\text{volt}}{\text{ampere}}[/tex]

So, volt ÷ ampere is the same as the unit of resistance. Hence, the correct option is (a).

Answer:

The answer is: volt ÷ ampere

Explanation:

Hope this helps. :)

If it's right, can you mark me as Brainliest.

A rotating wheel requires 8.00 s to rotate 27.0 revolutions. Its angular velocity at the end of the 8.00-s interval is 99.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel?

Answers

Answer:

∝ = 28.92 rad/s²

Explanation:

Applying third equation of motion to the angular motion, we have:

2∝θ = ωf² - ωi²

where,

∝ = angular acceleration = ?

θ = angular displacement = (27 rev)(2π rad/1 rev) = 169.64 rad/s

ωf = final angular velocity = 99 rad/s

ωi = initial angular velocity = 0 rad/s

Therefore,

(2)∝(169.64 rad) = (99 rad/s)² - (0 rad/s²)

∝ = (9801 rad²/s²)/(38.8 rad)

∝ = 28.92 rad/s²

My solar system has two types of planets: terrestrials and jovians. The solar nebula hypothesis offers what explanation for the different compositions of these two types of planets? A. The large gravitational forces of Jupiter tended to prevent planet formation in the inner solar system and eventually attracted most of the material into the region of the Jovian planets. B. During condensation, the heavier elements tended to sink nearer the Sun and, being rare, only provided enough material to build the relatively small terrestrial planets. C. The terrestrial planets were formed near the Sun where, because of the high temperatures, only heavier elements were able to condense. D. During the collapse of the gaseous nebula, most of the material tended to collect far from the Sun because of the large centrifugal forces, which provided the necessary material to build the large Jovian planets.

Answers

Answer:

B. During condensation, the heavier elements tended to sink nearer the Sun and, being rare, only provided enough material to build the relatively small terrestrial planets.

D. During the collapse of the gaseous nebula, most of the material tended to collect far from the Sun because of the large centrifugal forces, which provided the necessary material to build the large Jovian planets.

Explanation:

The solar nebular hypothesis is the theory of how the earth came to be as proposed and believed by most scientists. It states that the solar system was formed from a nebular which is a large collection of dust. As the condensation of the nebular progressed, the heavier materials which could withstand higher temperatures formed closer to the sun. Because these materials were not so much the planets formed by them were not large in size.

However, the Jovian planets formed beyond the frost line which could sustain icy compounds. The ices that formed these planets were much thus accounting for their larger sizes. Solar winds blew off the lighter hydrogen and helium elements leading to their accumulation far away from the sun.

uses of concave lens​

Answers

Answer:

Concave Lens Uses. Telescope and Binoculars Spectacles Lasers Cameras FlashlightsPeepholes. ...

Used in telescope and binoculars. ...

Concave lens used in glasses. ...

Uses of concave lens in lasers. ...

Use of concave lens in cameras. ...

Used in flashlights. ...

Concave lens used in peepholes.

A basketball has a coefficient of restitution of 0.821 in collisions with the wood floor of a basketball court. The ball is dropped on such a floor from a height of 2.07 m . How high is its fourth bounce?

Answers

Answer: The height of its fourth bounce = 0.43m

Explanation:

The coefficient of restitution denoted by (e), is the ratio that shows the  final velocity to initial relative velocity between two objects after collision

IT is given by the formula in terms of height as

Coefficient of Restitution, e  = √(2gh))/√(2gH) = √(h/H)

Where

Coefficient of Restitution, e= 0.821

H = 2.07 m

At fourth bounce ,   we have that

Coefficient of Restitution, e⁴  =√(h₄/H)  

Putting the given values and solving , we have,

e⁴  =√(h₄/H)  

= 0.821⁴ = √(h₄/2.07)

 (0.821⁴ )² =h₄/2.07

0.2064 x 2.07 = 0.427 = 0.43

At  fourth bounce,  h₄ height = 0.43m

Please help me!!!
How much force is required to launch a 1 kg pumpkin 10 meters away from 5 meters off the
ground at a launch angle of zero degrees if it takes the catapult 0.1 seconds to fully launch the
pumpkin?

Answers

Answer:

F= 99 N

Explanation:

Dynamics and Kinematics

This problem is a combination of dynamics and kinematics because we need formulas and concepts of both branches of physics to solve it.

We need to calculate the force required to launch horizontally a pumpkin of m=1 Kg a distance of d=10 m away from a height of h=5 m.

Since the force is:

F = m.a

We need to calculate the acceleration required to move the pumpkin from rest (vo=0) to the launching speed (vf) in a time t=0.1 seconds.

The acceleration can be calculated by using the kinematic equation:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The final launching speed vf can be calculated knowing the height and maximum horizontal distance reached by the pumpkin.

When an object is thrown horizontally with a speed vf from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v_f\cdot\sqrt{\frac {2h}{g}}[/tex]

Solving for vf:

[tex]\displaystyle v_f=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Substituting:

[tex]\displaystyle v_f=10\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]

Calculating:

[tex]v_f=9.9\ m/s[/tex]

Now we calculate the acceleration:

[tex]\displaystyle a=\frac{9.9-0}{0.1}[/tex]

[tex]a= 99\ m/s^2[/tex]

Thus, the force required is:

[tex]F=1\ Kg\cdot 99\ m/s^2[/tex]

F= 99 N

The half-life of a substance is 10 years. What percent of the substance remains after 2 half-lives.

need answer asap. i think its 2.5 but not sure

Answers

Answer:

i think its 2.5 as well

Explanation:

What is the key variable for calculating potential energy?

Answers

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Kathryn decides to take her dog for a walk one day. Her dog tries pulling on her with a force of 15N. Kathryn pulls back with force of 20N. What is the net force?

Answers

Assuming both forces act horizontally, the net force is in Kathryn's direction with a magnitude of 5 N.

If "towards Kathryn" is taken the be the positive direction, then the net force is

F = 20 N - 15 N = 5 N

In a binary star system, the average separation between the stars is 5.0 AU, and their orbital period is 5.0 years. What is the sum of their two masses?The average distance of Star A from the center of mass is four times that of Star B. What are their individual masses?

Answers

Answer:

A. 5.03 solar mass.

B. the masses of Star A and B are 1.01 solar mass and 4.02 solar mass respectively.

Explanation:

A. The sum of their two masses can be found using Kepler's third law:

[tex]\frac{P^{2}}{a^{3}} = \frac{4\pi^{2}}{G(m_{A} + m_{B})}[/tex]

Where:

P: is the period = 5 y = 1.58x10⁸ s

a: is the separation between the stars = 5 AU = 7.5x10¹¹ m

G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻²

[tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the masses of Star A and Star B respectively.    

[tex]m_{A} + m_{B} = \frac{4\pi^{2}a^{3}}{P^{2}G} = \frac{4\pi^{2}(5 AU*\frac{1.5\cdot 10^{11} m}{1 AU})^{3}}{(1.58 \cdot 10^{8} s)^{2}6.67 \cdot 10^{-11} m^{3}*kg^{-1}*s^{-2}} = 1.00 \cdot 10^{31} kg*\frac{1 M_{\bigodot}}{1.989\cdot 10^{30} kg} = 5.03 M_{\bigodot}[/tex]    

Hence, the sum of their two masses is 5.03 solar mass.  

B. Their individual masses can be found using the center of the mass equation:

[tex] a_{B} = (\frac{m_{A}}{m_{A} + m_{B}})a [/tex]

Where:

[tex]a_{B}[/tex] is the distance of Star B from the center of the mass

Since, [tex]a_{A}[/tex] is four times [tex]a_{B}[/tex] and a = 5 AU we have:

[tex] a_{A} = 4a_{B} [/tex]

[tex] a = a_{A} + a_{B} [/tex]

[tex] a_{B} = a - a_{A} = a - 4a_{B} \rightarrow a_{B} = \frac{a}{5} [/tex]      

Then, their individual masses are:

[tex]\frac{a}{5} = (\frac{m_{A}}{5.03 M_{\bigodot}})a[/tex]  

[tex]m_{A} = \frac{5.03 M_{\bigodot}}{5} = 1.01 M_{\bigodot}[/tex]

Now, the mass of Star B is:

[tex]m_{B} = m_{T} - m_{A} = 5.03 M_{\bigodot} - 1.01 M_{\bigodot} = 4.02 M_{\bigodot}[/tex]

Therefore, the masses of Star A and B are [tex]1.01 M_{\bigodot}[/tex] and [tex]4.02 M_{\bigodot}[/tex] respectively.

I hope it helps you!                              

What 2 things define the state of matter?

Answers

Answer:

mass and volume

Explanation:

matter is anything that has mass and occupies space(volume)

Answer:

Four states of matter are observable in everyday life: solid, liquid, gas, and sometimes plasma.

Shape is a characteristic property of matter.

The amount of matter in an object doesn't really affect the characteristic properties of the object

Explanation:

which of the following is an example of projectile motion?
a) a child tumbling down a hillside
b) a bowler rolling her ball down an alley
c) a football in flight during a field goal
d) a surfer riding a wave​

Answers

a football in flight during a field goal
Either b or c. Probably c though

If John throws a "ball” from a cliff with a speed of 15 m/s, how far from the bottom of the cliff does it land after 10 seconds?​

Answers

Answer:

wazzam blood

Explanation:

1. Which is true about atmospheric convection
currents?
A. Heat is released from the oceans and land causing wind.
B. Wind is only caused by the rotation of the Earth.
C. Wind is caused by the polar ice caps
D. Wind is caused by the gravity of planets in our solar system.

Answers

Answer:

A. heat is released from the ocean and land causing wind.

If the magnetic field of an electromagnetic wave is in the x-direction and the electric field of the wave is in the y-direction, the wave is traveling in the

Answers

Answer:

wave is in the y-direction, the wave is traveling in the

Explanation:

Telephone signals are often transmitted over long distances by microwaves. What is the frequency of microwave radiation with a wavelength of 3.5 cm?
Express your answer in GHz and using two significant figures.
f = ________GHz
Microwave signals are beamed between two mountaintops 52 km apart. How long does it take a signal to travel from one mountaintop to the other?
Express your answer in ms and using two significant figures.
t = ________ms

Answers

Answer:

1) f= 8.6 GHz

2) t= 0.2 ms

Explanation:

1)

Since microwaves are electromagnetic waves, they move at the same speed as the light in vacuum, i.e. 3*10⁸ m/s.There exists a fixed relationship between the frequency (f) , the wavelength (λ) and the propagation speed in any wave, as follows:

        [tex]v = \lambda * f (1)[/tex]

Replacing by the givens, and solving for f, we get:

       [tex]f =\frac{c}{\lambda} =\frac{3e8m/s}{0.035m} = 8.57e9 Hz (2)[/tex]

⇒     f = 8.6 Ghz (with two significative figures)

2)

Assuming that the microwaves travel at a constant speed in a straight line (behaving like rays) , we can apply the definition of average velocity, as follows:

       [tex]v =\frac{d}{t} (3)[/tex]

       where v= c= speed of light in vacuum = 3*10⁸ m/s

       d= distance between mountaintops = 52 km = 52*10³ m

Solving for t, we get:

       [tex]t = \frac{d}{c} = \frac{52e3m}{3e8m/s} = 17.3e-5 sec = 0.173e-3 sec = 0.173 ms (4)[/tex]

       ⇒  t = 0.2 ms (with two significative figures)

2). If you record a wave going 4m/s and the Period of the wave was
60s, how long was the wave?

Answers

Answer:240 meters

Explanation:60×4

Which is an example of a chemical change?

Answers

Burning a log of wood is an example of a chemical change

The achilles tendon is subjected to a large tension stress that results in a strain of 6%. if the unloaded tendon is 10 cm long, how much does it elongate as a result of this strain?

The answer is .6cm I need to understand the work to get here.

Answers

Answer: 0.6cm

Explanation:

Strain is defined as  how much an object can be stretched or deformed  when force is applied to it .  it measures the  fractional change of the object’s length when the object faces  tensional stress. It is calculated  by using the formulae

Strain =  ΔL/ L

where strain = 6%

L= Original length

ΔL= change in length

 6% = ΔL/ 10 cm

ΔL= 10cm X 0.06

ΔL=0.6cm

An object at rest will stay at rest, and an object in motion will stay in
motion, unless acted upon by an unbalanced force is known as which Law
of Motion?

Answers

Answer:

It is Newton's first law of motion also referred  to as the law of inertia.

Explanation:

Which of the following is not one of the four muscle shapes?
A. Triangular
B. Flat
C. Spindle
D. Cylindrical

Answers

Answer:

When elements bond together or when bonds of compounds are broken and form a new substance

Explanation:

where is information first stored in a human brain​

Answers

Answer:

when u learn something new it goes to ur short term memory

A skateboarder is moving at 2.00m/s and increases his velcity at a rate of 1.6m/s/s for 6.0 seconds. What is the displacement of the skateboarder during this game? Must include Given, Find , and Equation. Show all work .

Answers

Answer:

S = 40.8m

Explanation:

Given the following data;

Initial velocity, u = 2m/s

Acceleration, a = 1.6m/s²

Time, t = 6secs

Required to find the displacement

Displacement, S = ?

The displacement of an object is given by the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Where;

S represents the displacement measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.

Substituting into the equation, we have;

[tex] S = 2*6 + \frac {1}{2}*(1.6)*6^{2}[/tex]

[tex] S = 12 + 0.8*36[/tex]

[tex] S = 12 + 28.8 [/tex]

S = 40.8m

Therefore, the displacement of the skateboarder during this game is 40.8 meters.

Other Questions
Janet thought about the last time shed seen Sandra and the argument theyd had. It made her nervous to consider what might happen this time. For her part, Sandra thought it would be best if she and Janet move on, and forgot about their argument .A. First person B. Third person C. Third person omniscient D. Third person objective 2+3+7+34+7000+12242534 What is net force?A. When an object movesB. The sum of all forces actingon an objectC. The force of gravity on anobjectD. A calculation to find work PLEASE HELP!! What does a country lose when it places a quota Using the rule of thirds places items of interest in a photograph along one of the imaginary grid lines or at the point of their intersection.True or false A vacuum cleaner costs 85Fred gets 10% off the price of the vacuum cleaner.Work out how much he has to pay Which statement explains the main reason to create an outline for an informative essay?a. An outline can help a writer find evidence for a claim.b. An outline can help a writer avoid the need to make revisions.c. An outline can help a writer arrange the references to be cited.d. An outline can help a writer select an approach to a topic. Please help me vote you brainiest PLEASEEE,read the caption before you make it. Thank you in advance. I will mark you the brainiest EXCERPT FROM 'A CHRISTMAS CAROL': MARLEY'S GHOSTWhat bizarre event happens once Scrooge sits down by his fire?a)All of the bells in the house start chiming.b)He sees strange designs appear on his fireplace.c)He starts playing the bells in his house to make music.d)He starts a very low fire. Based on the weather map, state the direction of the warm front. Using complete sentences predict the effect of the warm front on any one city shown on the map. Will this prediction always come true? Why or why not? Find the slope that passes through (4,9) and (6,8) Refer to the previous question.Consider the four options from Question 2 that could be a good choice for Cal Amity's survey. Then, select the one that you think would work most effectively in this situation. Lastly, describe in detail how you would select the individuals in the survey sample. (Include details such as how you might split the population into groups and/or what process you would use to make sure the survey respondents are chosen randomly, etc.) Support your choice of a random sampling method by explaining why it would be most effective in reducing bias.The previous question:Which type of sample would not be a good choice for Cal Amity's survey, because it is known to cause bias?a convenience samplea stratified samplea systematic samplea simple random samplea cluster sample Qu van a comer?Ellos van a decidir manzanas.Ellos van a cumplir manzanas.Ellos van a comer manzanas.Ellos van a ocurrir manzanas. The number line shows the change in temperature from 7:00 a.M. To 1:00 p.M. Which expression shows how to find the difference between the temperatures at 7:00 a.M. And 1:00 p.M.? What impact did a well-trafficked American Indian trade network have on American Indians? Which items are matter? Can someone please help me answer this!!! Sudoku Company issues 26,000 shares of $8 par value common stock in exchange for land and a building. The land is valued at $235,000 and the building at $380,000. Prepare the journal entry to record issuance of the stock in exchange for the land and building. This volcano is surrounded by water. When the lava hardens, what landform will you see.