Use the universal law of gravitation to solve the following problem.

The force of gravity between Jake and his daughter Annika is 1.67 × 10–9 N. If they are 11 m apart and Jake has a mass of 110 kg, what is Annika's mass?

a. Write out the formula for this problem.

b. Plug in the values from this problem into the formula.

c. Solve the problem, writing out each step.

d. Correct answer

Answers

Answer 1

Answer:

Explanation:

Formula

Force = G * m1 * m2 / r^2

Givens

F = 1.67 * 10 - 9 NG = 6.67 × 10-11 Newtons kg-2 m2.m1 = 110 kgm2 = ?r = 11 meters.

Solution

1.67 * 10^-9 = 6.67 * 10^-11 * 110 * m2/(11)^2        Divide both sides by 10^-9

1.67 * 10^-9/10^-9 = 6.67*10^-11/(10^-9 *110*m2/121

1.67 = 6.67 * 110 * 10^-2 * m2 / 121                      Multiply both sides by 121

1.67 * 121  = 6.67 * 10 ^-2 * 110 * m2 * 121/121      Combine

202.07 = 7.337 * m2                                           Divide both sides by 7.337

202.07/7.337  =  m2

m2 = 27.54 kg


Related Questions

A 75.0 kg man pushes backward on a 300.0 kg boat with a force of 150.0N causing the boat to accelerate backward at 0.5m/s^2. What is the acceleration of the man?

A) 150.0 m/s^2
B) 8.00 m/s^2
C) 2.00 m/s^2
D) 4.00 m/s^2

Answers

Answer:

C) 2.00 m/s^2

Explanation:

F = m*a

150N = 75kg(a)

a = 150N/75kg

a = 2.0m/s²

Help me please Ima give brainiest

Answers

Sand. You can identify tiny sugar crystals.


Answer: vinegar

A heterogeneous mixture is a mixture in which the composition is not uniform throughout the mixture. ... A heterogeneous mixture consists of two or more phases. When oil and water are combined, they do not mix evenly, but instead, form two separate layers. Each of the layers is called a phase.

Hope it helps...

when a car drives in a circle there must be ?

Answers

no net force axting on it

Answer:

I think none of above

Explanation:

hioe it's right answer

used to measure temperature
used to measure force
prefix that means 1/100
prefix that means 1,000
prefix that means 1/1,000

Answers

Answer:

prefix that means 1/100 = Centi

prefix that means 1,000 = Kilo

prefix that means 1/1000 = Milli

Explanation:

Which of these is untrue about ray diagrams?
A. The arrowheads show the direction of the light

B. Lines must always be straight

C. More arrowheads on lines mean a brighter light

Answers

Answer:

The untrue option is C: "More arrowheads on lines mean a brighter light"

Explanation:

Ray diagrams are used to show how the light behaves with things like mirrors or lenses. Where we only study how the direction of the light changes when it interacts with these objects.

The "light" is represented with arrows, where again, the only thing we care is the direction of the light, so the first statement is true, the arrowheads show the direction of the light, and only that.

The intensity of the light, in this context, has no effect on how light behaves, so there is not a necessity of representing the intensity of the light, thus, more arrowheads on lines do not mean a brighter light. It may only be used to represent changes in direction of the light.

Finally, we know that light travels in straight pats (the pats can be curved in some cases, like with large gravitational fields, but this is not the case of a ray diagram) so the lines that represent the light should always be straight, thus option B is also true.

The untrue option is C: "More arrowheads on lines mean a brighter light"

DO U KNOW CARRYMINATI

Answers

Answer: Yes, I know



Explaination: Rough words and roaster

Two parallel circular rings of radius R have their centres in the X axis separated by a distance L. If each ring carries a uniformly distributed charge Q,find the electric field at points along the X axis

Answers

Answer:

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

Explanation:

The electric field due to a charged ring of radius R at a distance x from the center of the ring when the axis of the ring is located on the x - axis is

E = Qx/4πε₀[√(x² + R²)]³

Since the rings are separated by a distance L, the electric field at point x due to the second ring is E' = -Q(L - x)/4πε₀[√((L - x)² + R²)]³. It is negative since it points in the negative x - direction.

So, the resultant electric field at x is E" = E + E' = Qx/4πε₀[√(x² + R²)]³ + {-Q(L - x)/4πε₀[√((L - x)² + R²)]³}

E" =  Qx/4πε₀√[(x² + R²)]³ - Q(L - x)/4πε₀√[((L - x)² + R²)]³

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[((L - x)² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L² - 2Lx + x² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L - 2x)L + (x² + R²)]³})

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

So, the electric field at points along the x axis is

E" =  Q/4πε₀√[(x² + R²)]³(x - {(L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

Which nutrients are needed in soil in larger doses?
Mineral Nutrients

Macronutrients

Non-mineral Nutrients

Micronutrients

Answers

Answer:

The primary nutrients are nitrogen, phosphorus and potassium.

The intermediate nutrients are sulfur, magnesium, and calcium.

The remaining essential elements are the micronutrients and are required in very small quantities.

Answer:

The primary nutrients are nitrogen, phosphorus and potassium.

The intermediate nutrients are sulfur, magnesium, and calcium.

The remaining essential elements are the micronutrients and are required in very small quantities.

Explanation:

If a serve hits the net, what happens?

• Re-do
• Dead Ball
• Other teams point
• Play the ball

Answers

Answer:

Depends: Is it tennis or volleyball?

Explanation:

If it's volleyball, it's C, the other teams point.

If it's tennis, it's A, you get a re-do.

The unit of area is a derived unit. Why?

Answers

Explanation:

area=length(m) ×breadth(m) . The unit of area is expressed in terms of fundamental units m^2.thus it is derived unit

The dependent variable measured was the ______
a. fan speed
b. mass
c. acceleration

Answers

Answer:

a

Explanation:

Fan speed is the answer

Why is a person not a good blackbody radiator?
O A. A person emits only visible light.
OB. A person emits only infrared radiation.
O C. A person absorbs most of the light that hits him or her.
O D. A person reflects little of the light that hits him or her.

Answers

Answer:

O C. A person absorbs most of the light that hits him or her.

Explanation:

Answer:

Option D hope it's helpful mark me as brainlist

Una prenda de 320gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene 40 cm y gira con una frecuencia de 4 hz halla el periodo la velocidad angular la fuerza con la que gira la prenda y la velocidad lineal de la lavadora

Answers

Answer:

Período del tambor: [tex]T = 0.25\,s[/tex], fuerza sobre la prenda: [tex]F \approx 80.852\,N[/tex], velocidad lineal del tambor: [tex]v \approx 10.053\,\frac{m}{s}[/tex], velocidad angular del tambor: [tex]\omega \approx 25.133\,\frac{rad}{s}[/tex].

Explanation:

La expresión tiene un error por omisión, su forma correcta queda descrita a continuación:

"Una prenda de 320 gramos de ropa gira en el interior de una lavadora si dicha lavadora tiene un radio de 40 centímetros y gira con una frecuencia de 4 hertz. Halle a) el período, b) la velocidad angular, c) la fuerza con la que gira la prenda y d) la velocidad lineal de la lavadora."

El tambor gira a velocidad angular constante ([tex]\omega[/tex]), en radianes por segundo, lo cual significa que la prenda experimenta una aceleración centrífuga ([tex]a[/tex]), en metros por segundo al cuadrado. En primer lugar, calculamos el período de rotación del tambor ([tex]T[/tex]), en segundos:

[tex]T = \frac{1}{f}[/tex] (1)

Donde [tex]f[/tex] es la frecuencia, en hertz.

([tex]f = 4\,hz[/tex])

[tex]T = \frac{1}{4\,hz}[/tex]

[tex]T = 0.25\,s[/tex]

Ahora determinamos la fuerza aplicada sobre la prenda ([tex]F[/tex]), en newtons:

[tex]F = m\cdot a[/tex] (2)

[tex]F = \frac{4\pi^{2}\cdot m \cdot r}{T^{2}}[/tex] (2b)

Donde:

[tex]m[/tex] - Masa de la prenda, en kilogramos.

[tex]r[/tex] - Radio interior del tambor, en metros.

([tex]m = 0.32\,kg[/tex], [tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])

[tex]F = \frac{4\pi^{2}\cdot (0.32\,kg)\cdot (0.4\,m)}{(0.25\,s)^{2}}[/tex]

[tex]F \approx 80.852\,N[/tex]

La velocidad lineal de la lavadora es:

[tex]v = \frac{2\pi\cdot r}{T}[/tex] (3)

([tex]r = 0.4\,m[/tex], [tex]T = 0.25\,s[/tex])

[tex]v = \frac{2\pi\cdot (0.4\,m)}{0.25\,s}[/tex]

[tex]v \approx 10.053\,\frac{m}{s}[/tex]

Y la velocidad angular del tambor de la lavadora:

[tex]\omega = \frac{2\pi}{T}[/tex]

([tex]T = 0.25\,s[/tex])

[tex]\omega = \frac{2\pi}{0.25\,s}[/tex]

[tex]\omega \approx 25.133\,\frac{rad}{s}[/tex]

What is kinetic and potential energy?

Answers

Answer:

the energy produced in a body due to its motion is kinetic energy.

energy produced in a body due to its position is potential energy.

Explanation:

kinetic energy is the energy possessed by a body in motion

Potential energy is the energy possessed by a body by virtue of its position with respect to a reference level

Which of the following could be used to create an open circuit?

Answers

A switch
What are the answers choices

A cell has an emf of 1.5 V and an internal resistance of 0.65 Q.
The cell is connected to a resistor R.
[0[8].[4] State what is meant by an emf of 1.5 V.
[2 marks]
I
[0] 8]-[2] The current in the circuit is 0.31 A.
Show that the total power output of the cell is approximately 0.47 W.
[1 mark]
[o[s).[3] Calcutate the energy dissipated per second in resistor R.
[2 marks]
energy dissipated per second = Ist
[o[si.[4] The cell stores 14 kJ of energy when it is fully charged. The cell's emf and internal resistance are constant as the cell f discharged.
Calculate the maximum time during which the fully-charged cell can deliver energy to
resistor R.
[2 marks)
maximum time = 5

Answers

Answer:

14000 J / 0.40 J/s = 35 000 s or about 9.75 hrs

Please help!!!!! I will give brainliest. Describe four examples of acceleration you see during your day. Choose an object that is slowing down, one that is speeding up, one that is moving at a constant speed but changing direction, and one that is moving at a constant velocity with zero acceleration.

Answers

When the brake is applied to the car and comes to rest after some time is an example of an object that is slowing down.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

1. When the brake is applied to the body and comes to rest after some time is an example of an object that is slowing down.

2. When a person accelerates the car and the velocity is increasing is an example of speeding up.

3. An object moves in a circular motion moving at a constant speed but changing direction,

4. Acceleration is the rate of change of velocity. If the change in the velocity is constant the acceleration is zero is an example of moving at a constant velocity with zero acceleration.

To learn more about acceleration, refer to the link;

https://brainly.com/question/2437624

#SPJ1

HELPPP ILL GIVE BRAINLIST

Answers

Answer:

1= Kidneys

2= Ureters

3=Bladders

4=Urethra

Explanation:

Functions of kidney: Regulations of water balances, excretions of nitrogenous wastes(urea)

Functions of Liver: Detoxifications, protein synthesis

Functions of Skin: Temperature regulations, Metabolic functions, Excretion

Functions of lungs: Respiration, Water balance regulations

Tip: If you want faster and correct answers you should label your questions under the correct subject.

An elevator of 3 × 10^4N is raised to a height of 100m in 20s . The work done by electric motor is equivalent to?​

Answers

Answer:

there it is fella tried on ma own observation

A partially inflated balloon is faded over the open end of a glass beaker that contains water the beaker is placed in an ice bath which cause the water and causes the balloon to the flea what are the correct designs for the heat and work changes to the beaker and balloon system

Answers

Answer:

a

Explanation:

value of the refractive index of lens is 2.5 The curved surfaces are having The radius of curvature 10 cm and -12cm Out The focal length of the lens respectively find out the focal length of the lens?​

Answers

Answer:

4

dhsfb ffhgchbvffffggcg

Answer:

16.5

Explanation:

A student starts at position (4,4) m and undergoes three displacements:
d1 = (2, -3) m, d2 = (-5, 0) m, and d3 = (1, 6) m.
What is the final position of the student? Show your solution graphically and numerically.
please help!!

Answers

Answer:

The final position is  (2, 7)m

Explanation:

When we work with coordinate pairs, the addition works as:

(a, b) + (c, d) = (a + c, b + d)

So, for example, if we start at (a, b), and we have a displacement d = (1, 1)

we just need to solve:

(a, b) + (1, 1) = (a + 1, b + 1)

Now, in this case, we start at (4, 4)m

first, we have d1 = (2, -3) m

After this displacement, the position is:

(4, 4)m + (2, -3)m = (4 + 2, 4 - 3)m = (6, 1)m

Now we have a displacement d2 = (-5, 0) m

After this, the position is:

(6, 1)m + (-5, 0)m = (6 -5, 1 + 0)m = (1, 1)m

After this, we have the final displacement d3 = (1, 6) m, so the final position will be:

(1, 1)m + (1, 6)m = (1 + 1, 1 + 6)m = (2, 7)m

Below you can see a rough sketch of the path that the student take, where he/she starts at point A.

What is an example of a series circuit

Answers

Answer:

Explanation

The most famous and common example is Christmas tree lights. You can't tell easily by looking at them whether they are in series or parallel. But you sure know the difference when one of them burns out. When that happens, the whole string goes dead. No matter what you do (other than find out which bulb burned out) will not fix the problem.

Another example is anything that is temperature controlled. For example a furnace is controlled by a thermostat. When the room temperature reaches a certain point, the thermostat is constructed in a certain way so that it forms an open circuit and no current can flow through it. The furnace motor turns off and the furnace stops pumping hot air into a room.

which of the following items has the most inertia while at rest

Answers

Answer:

wats the following items

ASAPP PLS HELP MEE
The density of aluminum is 2.7 g/cm^3. Which of the following statement is true?

A) 1 g of aluminium has a volume of 1 cm^3

B) 2.7 g of aluminium has a volume of 1 cm^3

C) 1 g of aluminium has a volume of 2.7 cm^3

D) 2 g of aluminium has a volume of 7 cm^3​

Answers

Answer:

B) 2.7 g of aluminium has a volume of 1 cm^3

Explanation:

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

If the density of aluminum is 2.7 g/cm³, it simply means that 2.7 g of aluminium has a volume of 1 cm³

Check:

Given the following data;

Mass = 2.7 grams

Volume = 1 cm³

Substituting into the formula, we have;

[tex]Density = \frac{2.7}{1}[/tex]

Density = 2.7 g/cm³

Behaviors in deer such as herding and male deer using antlers to compete for females increase the chances of successful reproduction.

True or False

Answers

Answer:

True

Explanation:

The reproductive success of any species is the capability to produce their offspring per breeding lifetime or event.

Most of the species have to attract their partners by their physical capability and build up so that the mother can choose her partner in order to breed the best kind of off spring.

In the context, in case of deer, the size of the their antlers as well as behavior in herding is considered as the best chances for a successful reproduction to compete among the males and find their breeding mate.

Thus the answer is TRUE.

Brass is made by melting a mixture which contain 67% by mass of copper and 33% by mass of zinc if no change in volume.Calculate the density of brass​

Answers

Answer:

The density of brass is approximately 8,261.73 kg/m³

Explanation:

The percentage composition by mass of brass is given as follows;

The percentage by mass of copper = 67%

The percentage by mass of zinc = 33%

The density of copper, ρ₁ = 8.96 g/cm³

The density of zinc, ρ₂ = 7.133 g/cm³

Therefore, where we have, m = 100 g of brass, we have;

The mass of copper, m₁ = 67 g

The volume of copper, V₁ = m₁/ρ₁

∴ V₁ = 67 g/(8.96 g/cm³) ≈ 7.47767857 cm³

The volume of zinc, V₂ = m₂/ρ₂

∴ V₂ = 33 g/(7.133 g/cm³) ≈ 4.62638411 cm³

The volume of the brass, V = V₁ + V₂

V = 7.47767857 cm³ + 4.62638411 cm³ ≈ 12.104 cm³

The density of brass, ρ = m/V

∴ ρ = 100 g/(12.104 cm³) ≈ 8.26 g/cm³

The density of brass, ρ ≈ 8.26 g/cm³ = 8,261.73 kg/m³

A student starts a stop-watch when the bob reaches to point M.He counts each time the bob changes direction and stop the watch on the tenth change in direction.The watch shows a time of 12.0 seconds.calculate the time period

Answers

Answer:

m

Explanation:

.

If the amplitude of a sound wave is increased by a factor of four,how does the energy carry by the sound wave in each time interval change?

Answers

Answer:

The energy will be increased by a factor 16

Explanation:

Mathematically, we have it that the energy carried by the sound wave is directly proportional to the square of the amplitude

So we have it that;

E = k * A^2

where E is the wave energy

K is the constant value

A is the amplitude value

So;

If E1 = k * (A1)^2

E2 = k * (A2)^2

But A2 = 4A1

E2 = k * (4A1)^2

E2 = k * 16(A1)^2

Divide E2 by E1

E2/E1 = k/k * 16(A1)^2/(A1)^2

E2/E1 = 16

E2 = 16 * E1

so simply, the energy will be increased by a factor of 16

Which statement describes how chemical formulas, such as H20, represent compounds?

Answers

Answer:

They show the elements that make up a compound.

They show the three-dimensional shape of a molecule.

They show the types of atoms that make up a molecule.

They show the number of each type of atom in a molecule.

Explanation:

❣️(◍Jess bregoli◍)❣️

#keep learning!!

Other Questions
If the beginning balance in Firestone Auto Repair's inventory account was a $4,000 debit, what is the new balance in the inventory account after considering the new purchases? 1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there? Drag each tile to the correct location.Match each excerpt from the passage with the tone it conveys.out of the experience of an extraordinary humandisaster that lasted too longreinforce humanity's belief in justice, strengthen itsconfidence in the nobility of the human soul and sustainall our hopes for a glorious life for allAll this we owe both to ourselves and to the peoples ofthe world who are so well represented here today.graciousregretfuloptimistic Solve the following system graphically. y < - x y =< x - 2 Upload one solution of the system and your graph ......................... Match each term to the best description.a. Blue-gray color b. Chelating agent c. EBT d. EDTA e. Pale purple-pink color 1. Eriochrome Black T 2. Starting color, before titration 3. Molecule that has a high affinity for ions 4. Ethylenediaminetetracetlc acid 5. Color at the completion of titration help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.A. 4 unitsB. 2 unitsC. 6 unitsD. 5 units (drive) away ten minutes ago. O3.The policeman La familia Jaramillo Castillo vive en Cancn, Mxico. Es una familia mexicana. El padre(el pap) se llama Antonio Jos Jaramillo Valbuena, es mdico y trabaja en un hospital. Lamadre (la mam) se llama Ana Mara Castillo de Jaramillo y es sicloga. El seor Jaramilloy la seora Ana Mara de Jaramillo practican tenis con sus hijos los fines de semana.Los esposos Jaramillo tienen cuatro hijos, dos nios, Flix Mario y Omar Ricardo, y dosnias, Carmencita y Nora Teresa. Flix Mario estudia sicologa en la UniversidadAutnoma. Omar Ricardo, Carmencita y Nora Teresa van a la escuela. Los cuatrohermanos son muy inteligentes y simpticos.Los nios Jaramillo Castillo tienen un primo, Vicente Jos, y una prima, AmandaConsuelo. Tambin tienen dos tos, Luis y Juan Carlos, y dos tas, Cecilia y Mara Eugenia.Los tos son buenos con sus sobrinos, Flix Mario, Omar Ricardo, Carmencita y NoraTeresa.2-2 Otra vez (Again) Read the text again and complete these sentences with the missinginformation.1.Antonio Jos JaramilloValbuena es elde Ana Mara Castillo deJaramillo.2.Flix Mario y Omar Ricardo son losde Carmencita y Nora Teresa.3.Ana Mara Castillo de Jaramillo y Antonio Jos JaramilloValbuena son losPlazas, Activity File - iA conversar!de Flix Mario, Omar Ricardo, Carmencita y Nora Teresa.Los nios Jaramillo Castillo son losde Cecilia y Mara Eugenia.4. 5.Carmencita es lade Nora Teresa.Cecilia es la de los nios Jaramillo6.Castillo. Use the periodic table to determine the electron configuration for aluminum (AI) and arsenic (As) innoble-gas notationALo [Ar]3s23p!lo (He]2s22p63s23p!0 [Ne]3s23p!0 [Ne]3s23p2DONE storage,single-use,suggestive,sermons,stress,saints,sages,social,studies write these words in order as the appear in dictionary what's the difference between pseudo code and natural language Ignacio's grandmother is becoming old and frail. Which describes a technology that can help her stay in her home instead of moving to a nursing home? what is 7x+3y=9 in y-intercept form? According to the basic Dividend Discount model, the value an investor should assign to a share of stock is dependent on the length of time he or she plans to hold the stock.Is the above statement True or False? Please Explain 10. If you are under 18 years you shall not operate a motor vehicle between the hours of ....... and...... unless you aredriving to or from a scheduled event. This curfew remains in effect until you turn 18, regardless of when yourdriver's license was issued.A1 am to 5 amB. O 12 pm, 5 amc. O5 pm, 5 amD. O 10 pm, 5 am Which sentences contain a gerund? Check all that apply.I am considering a new hairstyle.Working out always makes me hungry.Playing is all the cat does.Are you going to Alexandras party?Dad scolded Miriam for skipping her chores.No one likes my cooking. The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n360 . Factor the expression. he said to me,Are you a singer? (change in indirect speech) A 59 kg block is positioned 2.0 meters away from another 59 kg block. What is the gravitational force exerted on each object?A) 5.8 10-8 NB) 2.0 10-9 NC) 9.8 10-10 ND) 1.2 10-7 N