a ladybug falls into small hole. it takes 8.6s for the ladybug to hit the bottom. how deep is the hole? (take g=9.81 m/s²)

Answers

Answer 1

Answer:

Length of hole (s) = 362.77 m (Approx)

Explanation:

Given:

Time taken to hit the bottom (t) = 8.6 s

Acceleration due to gravity (g) = 9.81 m/s²

Find:

Length of hole (s) = ?

Computation:

Initial velocity (u) = 0 m/s

S = ut +1/2(gt²)

S = (0)(8.6) +1/2(9.81)(8.6)(8.6)

S = 1/2(9.81)(8.6)(8.6)

S = 1/2(9.81)(8.6)(8.6)

S = 362.7738

Length of hole (s) = 362.77 m (Approx)


Related Questions

An electric field is = (400 N/C) for x > 0 and = (–400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the net outward flux through the entire cylindrical surface?

Answers

Answer:

0 Nm²/C

Explanation:

We calculate the total flux Ф = ∫E.dA for -15 < x < 0 and 0 < x < 15

which is the flux through the curved sides + the flux through its ends.

So, Ф₁ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA this is the flux through the curved sides of the cylinder

Ф₁ = ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

Ф₁ = ∫₋₁₅⁰EdA + ∫₀¹⁵EdA  

Ф₁ = E∫₋₁₅⁰dA + E∫₀¹⁵dA

= E∫₋₁₅⁰2πrdx + E∫₀¹⁵2πrdx

= E2πr∫₋₁₅⁰dx + E2πr∫₀¹⁵dx

= E2πr[x]₋₁₅⁰ + E2πr[x]¹⁵₀

= E2πr[0 -(-15)] + E2πr[15 - 0]

= (-400 N/C)2πr[15]  + (+400 N/C)2πr[15]

= -800 N/Cπ(0.30 m )[0.15 m]  + 800 N/Cπ(0.30 m)[0.15]

= (-36επ  + 36επ)  Nm²/C = 0

the flux through the ends is

Ф₂ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA

= ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

= ∫₋₁₅⁰EdA + ∫₀¹⁵EdA

= E∫₋₁₅⁰dA + E∫₀¹⁵dA

= (-400 N/C)πr² + (400 N/C)πr²

= 0

So, the total flux equals Ф = Ф₁ + Ф₂ = 0 + 0 = 0 Nm²/C

What happens to energy “lost” during an energy transformation? A. It turns into heat energy. B. It turns into kinetic energy. C. It turns into potential energy. D. It turns into kinetic energy and potential energy.

Answers

Answer:

I think it turns into heat (thermal) energy if I'm right

Rutherford tracked the motion of tiny, positively charged particles shot through a thin sheet of gold foil. Some particles
traveled in a straight line and some were deflected at different angles.
Which statement best describes what Rutherford concluded from the motion of the particles?

Answers

Answer:

C

Explanation:

I just took the quiz

The average kinetic energy of the molecules of an ideal gas at 10∘C has the value K10. At what temperature T1 (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. View Available Hint(s) T1 T 1 T_1 = nothing ∘C Part B The molecules in an ideal gas at 10∘C have a root-mean-square (rms) speed vrms. At what temperature T2 (in degrees Celsius) will the molecules have twice the rms speed, 2vrms? Express the temperature to the nearest integer. View Available Hint(s) T2 T 2 T_2 = nothing ∘C

Answers

Answer:

A) T1 = 566 k = 293°C

B) T2 = 1132 k = 859°C

Explanation:

A)

The average kinetic energy of the molecules of an ideal gas is givwn by the formula:

K.E = (3/2)KT

where,

K.E = Average Kinetic Energy

K = Boltzman Constant

T = Absolute Temperature

At 10°C:

K.E = K10

T = 10°C + 273 = 283 K

Therefore,

K10 = (3/2)(K)(283)

FOR TWICE VALUE OF K10:

T = T1

Therefore,

2 K10 = (3/2)(K)(T1)

using the value of K10:

2(3/2)(K)(283) = (3/2)(K)(T1)

T1 = 566 k = 293°C

B)

The average kinetic energy of the molecules of an ideal gas is given by the formula:

K.E = (3/2)KT

but K.E is also given by:

K.E = (1/2)(m)(vrms)²

Therefore,

(3/2)KT = (1/2)(m)(vrms)²

vrms = √(3KT/m)

where,

vrms = Root Mean Square Velocity of Molecule

K = Boltzman Constant

T = Absolute Temperature

m = mass

At

T = 10°C + 273 = 283 K

vrms = √[3K(283)/m]

FOR TWICE VALUE OF vrms:

T = T2

Therefore,

2 vrms = √(3KT2/m)

using the value of vrms:

2√[3K(283)/m] = √(3KT2/m)

2√283 = √T2

Squaring on both sides:

(4)(283) = T2

T2 = 1132 k = 859°C

A) The temperature at which the average kinetic energy will have a value of 2K10 is; T1 = 293 °C

B) The temperature at which the molecules have twice the rms speed, 2vrms is; T2 = 859 °C

A) We are given;

Initial temperature; T = 10°C = 283 K

Initial kinetic energy; KE = K10

Final kinetic energy; KE1 = 2K10

Now,formula for average kinetic energy of the molecules of an ideal gas is given as;

KE = (3/2)kT

Where;

k is Boltzmann constant

T is temperature

We are told that in the second case, KE = 2K10. Thus;

2K10 = (3/2)kT1

K10 = ¾kT1 - - - (eq 2)

In the first instance, we have;

K10 = (3/2)kT - - - (eq 1)

Put (3/2)kT for K10 in eq 2 to get;

(3/2)kT = ¾kT1

k will cancel out to get;

(3/2)T = ¾T1

Make T1 the subject to get;

T1 = 2T

Thus;

T1 = 2 × 283

T1 = 566 K

Converting to °C gives;

T1 = 293 °C

B) We want to find the temperature T2 (in degrees Celsius) at which the molecules will have twice the rms speed, 2v_rms.

Formula for kinetic energy is also;

KE = ½mv²

Thus;

½m(v_rms)² = (3/2)kT

v_rms = √(3kT/m) - - - (eq 1)

When rms speed is 2v_rms, we have;

½m(2v_rms)² = (3/2)kT2

v_rms = √(¾kT2/m) - - - (eq 2)

Thus;

√(3kT/m) = √(¾kT2/m)

Square both sides to get;

(3kT/m) = (¾kT2/m)

4T = T2

T2 = 283 × 4

T2 = 1132 K

Converting to °C gives;

T2 = 859 °C

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Which properties are characteristics of non metals

Answers

Non - Metals:

Non- metals are bad conductor of electricity ( except Graphite ).

Non- metals are also bad conductor of heats. ( except diamond )

Non - metal are neither malleable nor ductile. They are brittle.

Non-metal are not strong.

Non-metal are not sonorous.

Some terms:

★ Malleable: This means that metals can be beaten into thin sheets with hammer.

★ Ductile: This means that metals can be drawn into thin wires.

★ Brittle: This means that non-metal break into pieces on hammering.

★ Sonorous: This means capable of producing a ringing sound.

The temperature of the air in a valley begins to increase after the sun comes up and heats the valley floor. What will
happen to the velocity of sound in this valley?
-The velocity will increase
-The veocity will decrease
-The velocity will not change
-The velocity will drop to zero.​

Answers

Explanation:

I think it will increase a little bit ... just image ... if the temperature is 0, the velocity will be 0 too. because the vibration of atom is so weak and the sound cant progation.

Answer:

The velocity will increase.

Explanation:

Wave velocity and the temperature of the medium are directly proportional so if the temperature increases, the velocity will increase.

Which statement is part of Dalton's atomic theory?
A. Atoms are composed of protons, neutrons, and electrons.
B. Elements can have atoms that are isotopes.
C. One type of atom cannot be changed to another type by a chemical reaction.
D. Electrons move around the nucleus in an electron cloud.

Answers

A. Atoms are composed of protons, neutrons, and electrons.

In the first section of his thesis, he claims that all matter is composed of indivisible atoms. The second part of the theory states that every atom in a certain element has the same mass and properties. Compounds, according to the third section, are combinations of two or more different kinds of atoms. Thus, option A is correct.

What best define about Dalton's atomic theory?

Atoms are the incredibly minuscule building blocks of all stuff. A given element's atoms are all the same size, mass, and other characteristics. Distinct elements' atoms have different mass, size, and other characteristics. Atoms can never be divided, produced, or eliminated.

Atoms are indivisible units that cannot be created or destroyed during a chemical process. Each atom of a certain element has the same mass and chemical properties. Atoms of various elements have weights and chemical properties that differ.

Therefore, Compounds are created when atoms combine in ratios of small whole numbers.

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What is true about the force between charges?

Answers

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

k is electrostatic constant

r is distance between charges

The force between charges is directly proportional to the product of charges and inversely proportional to the square of the distance between them.  

In young's double silt experiment if the distance between the silts is 0.5 and the distance between the silts and screen is 2 times.Then what will be the width of bands

Answers

Answer: The width of bands will be 2λ

Explanation: Please see the attachments below

An object started at
x = -22 meters and undergoes
a displacement of -10.4 meters.
What is its final position?
(Unit = m)

Answers

Answer:

According to me, I think this is the answer

Explanation:

initial position= -22 meters.

this indicates that object is in the negative direction as a negative sign is used to represent the location.

displacement is indicated as -10.4 meters. this is also in the negative direction.

initial + displacement= final

= -22 + (-10.4)

= -32.4 meters

this would be the final position, away from the origin.

displacement is a vector quantity; both magnitude and direction matter.

If the total momentum of a system of an old woman pushing a shopping cart is 450 kg×m/s, both with a velocity of 3 m/s, and the woman has a mass of 50 kg, what is the mass of the cart?

Answers

Answer:

100kg

Explanation:

Momentum is defined as the product of mass times velocity:

[tex]p=mv[/tex]

The total momentum M must be equal to the sum of momentums of the system components, in this case the momentum of the lady plus the momentum of the cart:

[tex]M=m_{woman}v_{woman}+m_{cart}v_{cart}[/tex]

since both the woman and the shopping cart have the same velocity:

[tex]v_{woman}=v_{cart}=v[/tex]

the equation becomes:

[tex]M=m_{woman}v+m_{cart}v\\M=v(m_{woman}+m_{cart})[/tex]

and since we need the mass of the cart we solve for [tex]m{cart}[/tex]:

[tex]m_{woman}+m_{cart}=\frac{M}{v} \\\\m_{cart}=\frac{M}{v} -m_{woman}[/tex]

the values given by the problem are the following:

total momentum: [tex]M=450kgm/s[/tex]

mass of the woman: [tex]m_{woman}=50kg[/tex]

velocity: [tex]v=3m/s[/tex]

we substitute all of them in the equation to find the mass of the shopping cart:

[tex]m_{cart}=\frac{450kgm/s}{3m/s} -50kg\\\\m_{cart}=150kg-50kg\\\\m_{cart}=100kg[/tex]

the mass of the cart is 100kg.

Please help me out
1. A 5.0 V battery contains 775 C of charge. How much electricity energy can it produce?
2. 200 C of charge passes through a circuit in 20 minutes. What is the current?
3. A battery can produce 337 joules of energy for every 9.5 coulombs of charge. What is its voltage?

Answers

Answer:

1.3875 Joules. 2. 0.17A 3. 35.47volts

Explanation:

1. Energy = Q × V = 5 × 775 = 3875 Joules.

Q is quantity of electricity in Columbs

V is Voltage in volts

2. From Q = I × t

Q is quantity of electricity in Columbs

T is time taken

I is current

Now we define I as the quantity of electricity in 1 sec; hence;

200= I × 20× 60 [ 20minutes converted to seconds ]

I = 200/ 20× 60.= 200/1200=0.1667

= 0.17A( to the nearest hundredth)

3.v = E/ Q ( from equation in question 1)

V = 337/9.5 = 35.47volts

In any case, resistance of a material is a measure of the quantity of

present in the materials.

Answers

Answer:

free electrons

Explanation:

Answer:

free electrons

Explanation:

36- Why are sneakers and tires grooved?

Answers

SNEAKERS and tires are grooved so that there is some kind of interlock with it and the surface . This interlocking creates more friction and this friction enable the object to have some grip on the surface . If the sneakers or tires werent grooved,then with sneakers we might slip and fall and with tyres the car would skid  

When only ________ acts on an object's mechanical energy is conserved.
A.) Gravity
B.) Friction
C.) Air resistance
D.) Momentum

help ASAP

Answers

Answer:

Gravity

Explanation:

Distance travelled can be found from the
A area under a velocity-time graph
B area under an acceleration-time graph
C gradient of a force-time graph
D gradient of a velocity-time graph

Answers

Answer:

A

Explanation:

This is because distance traveled (i.e. displacement) is the integral of the velocity function, and velocity is the first derivative of the displacement function. To put this in perspective, the area bounded by a curve can be found by taking the integral of the equation of the curve, taking values on the x-axis as limits.

which forces causes oppositely charged particles to attract each other?

Answers

Answer:

Electromagnetism causes like-charged objects to repel each other and oppositely charged objects to attract each other. The electromagnetic force binds negative electrons to the positive nuclei in atoms and underlies the interactions between atoms.

A projectile is launched with an initial velocity of 25 m/s at an angle of 30° above the horizontal. The projectile reaches maximum height at point p then falls to point a, which is 65 m below the cliff. What is the horizontal distance that it travels (labeled x in the diagram)

Answers

Answer:

x ≈ 56 m

Explanation:

vertical initial velocity =[tex]v_{0y}(t)[/tex] = 25 m/s* sin(30°)= 12.5 m/s

height = h

[tex]h =v_{0y}t+\frac{at^{2}}{2} \\\\65m = 12.5m/s*t + \frac{9.8m/s^{2}*t^{2}}{2} \\\\t=2.584 s[/tex]

t- time is found solving quadratic equation.

horizontal velocity = [tex]v_{0x}=25m/s*cos(30^{o})=21.65 m/s[/tex]

Horizontal velocity is constant, so distance [tex]x=v_{0x}*t =21.65 m/s *2.584 s=55.9 = 56 m[/tex]

The horizontal distance travelled by the object will be "111.07 m".

According to the question,

[tex]u_v = u sin\Theta[/tex]

    [tex]= 25 \ sin30^{\circ}[/tex]

    [tex]= 12.5 \ m/s[/tex]

As we know,

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

 [tex]-y = u_vt-\frac{1}{2}gt^2[/tex]

[tex]-65 =12.5t - \frac{1}{2}\times 9.8t^2[/tex]

   [tex]0 = 4.9t^2-12.5t-65[/tex]

    [tex]t = \frac{12.5 \pm \sqrt{(-12.5)^2-4\times 4.9\times (-65)} }{2\times 4.9}[/tex]

       [tex]= 5.13 \ s[/tex]

hence,

The horizontal distance will be:

→ [tex]u_x = ucos \Theta[/tex]

       [tex]= 25 cos 30^{\circ}[/tex]

       [tex]= 21.65 \ m/s[/tex]

or,

→ [tex]x = 21.65\times 5.13[/tex]

     [tex]= 111.07 \ m[/tex]

Thus the response above is right.  

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what is the efficiency of a machine that can carry a load of 100 kg with an effort of 20N when its velicity ratio is 10​ ASAP

Answers

Answer:

Efficiency of machine=4.9

Explanation:

We are given that

Mass of load=100 kg

Effort=20 N

Velocity ratio=10

We have to find the efficiency of machine.

Load=[tex]mg=100\times 9.8=980 N[/tex]

Efficiency=[tex]\frac{Load}{effort}\times \frac{1}{velocity\;ratio}[/tex]

Using the formula

Efficiency of machine=[tex]\frac{980}{20}\times \frac{1}{10}[/tex]

Efficiency of machine=[tex]\frac{49}{10}[/tex]

Efficiency of machine=4.9

A steam power plant produces 50MW of net work while burning fuel to produce 150MW of heat energy at the high temperature. Determine the cycle thermal efficiency and the heat rejected by the cycle to the surroundings.

Answers

[tex]Nth[/tex] =[tex]\frac{W net, out}{Qh}[/tex]

50MW is our net output.

Then, we plug it in.

= [tex]\frac{50MW}{150MW}[/tex] = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150MW - 50 MW

= 100MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100MW.

100 MW of the cycle thermal efficiency and the heat is thermal energy rejected by the cycle to the surroundings.

What is  thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

N = W/Q

50 MW is our net output.

Then, we plug it in.

= 50/150  = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150 MW - 50 MW

= 100 MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100 MW

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The mass of the jupiter is 19*10^26kg &the mass of the earth is 6*10^24kg.if the distance between the jupiter &earth is 6.29*10^6km.what will be the gravitational force between these two masses?

Answers

Answer:
The Gravitational Force between the 2 masses is approximately 1.209x10^32 Newton’s

Explanation:

Your bone structure, metabolism and body fat distribution all contribute to your ______ A.Body type B. Height C. Energy levels D. Exercise habits

Answers

Answer:

Maybe [A]

Explanation:

What is the mass of a dog if it accelerates at 15 m/s^2 and has a force of 50 N?

Answers

Answer:

3.33kg

Explanation:

Force=mass×acceleration

Force=50N

Acceleration=15m/s^2

50=m×15

50=15m

50/15=15m/15

3.33=m

Therefore the mass is 3.33kg

A 4-ohm and 2-ohm resistor are wired in PARRELL. What is the TOTAL resistance?

Answers

Answer:

1.33ohms

Explanation: The formula for resistance in a parallel circuit is :

1/Rt = 1/R1+1/R2

Where Rt represents total resistance, R1 = 4ohms and R2 = 2ohms

1/Rt = 1/4+1/2

1/Rt = 1+2/4

1/Rt = 3/4

Rt = 4/3

Rt= 1.33ohms

Hence the total resistance is 1.33ohms

Two identical 82 mg dust particles very far apart (PEE 0) are moving directly toward each other at a speed of 3698 m/s. The charge on each is-719 ?C. Determine how close they will get to each other. Let k = 9x109 N-m2/C2 & ignore gravity.

Answers

Answer:

r = 4.139

Explanation:

In order to calculate how close the particles will get to each other, you take into account that all kinetic energy becomes electric potential energy between the particles when they are at the minimum distance. Then, you have:

[tex]U=K\\\\k\frac{q_1q_2}{r}=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2[/tex]         (1)

q1 = q2: charge of the dust particles = -719μC = -719*10^-6 C

m1 = m2: mass = 82mg = 82*10^-6 kg

v1 = v2: speed of both particles = 3698 m/s

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

You solve the equation (1) for r:

[tex]q_1=q_2=q\\\\m_1=m_2=m\\\\v_1=v_2=v\\\\k\frac{q^2}{r}=mv^2\\\\r=\frac{kq^2}{mv^2}[/tex]

Finally, you replace the values of all parameters:

[tex]r=\frac{(8.98*10^9Nm^2/C^2)(-719*10^{-6}C)^2}{(82*10^{-6}kg)(3698m/s)^2}\\\\r=4.139m[/tex]

hence, the distance at which both dust particle are closer to each other is r = 4.139m

When the two surfaces of a thin film are parallel and the light is incident at some angle what fringes are formed? A. Circular B. Elliptical C. Parabolic D. Straight and why?

Answers

Answer:

The correct option is;

A. Circular

Explanation:

Some of the light that impinges on the surface are reflected and the rest are transmitted to a different medium

At the surface of the next medium also, some of the light are transmitted while the others are reflected and refracted through the first medium

The speed of light (and hence the wavelength and color) refracted through the thin film is changed as the distance the refracted light travels through the thin film is increased as we move away from the point directly in the front view to some distance as the reflected light path from those distance to the eye is increased due to their inclination giving them a different wavelength which are all equal at a radial distance from the eye hence forming a circular fringes.

Gamma radiation can be significantly reduced by…

A sheet of paper

Air

A 3 mm thickness of aluminium

Several cm of lead

Answers

Answer:

Several cm of lead

Explanation:


Find the average speed of a car that is travelling 45 km in 5 hours. *
4 points
6 km/h
8 km/h
9 km/h
20 km/h​

Answers

Answer:

9 km/h

Explanation:

Speed can be found using the following formula.

s=d/t

where d is distance and t is time.

The car traveled 45 kilometers in 5 hours.

d=45 km

t=5 h

Substitute these values into the formula

s=45 km/5 h

Divide 45 by 5

s=9 km/h

The average speed of the car is 9 kilometers per hour.

The answer would be 9 ! Hope this helps !

which statement BEST compares the force of gravity on a school bus on a school day and a weekend? *

(A) The force would be lower on the school day than the weekend.
(B) The force would be higher on the school day than the weekend.
(C) The force would be different on the school day than the weekend.
(D) The force would stay the same on the school day and the weekend.

Answers

Answer:

(A) The force would be lower on the school day than the weekend.

Explanation:

In  a  school  day  the  bus  is  on  the  road  travelling  with  kids.  But  in  a  weekend  it  is  parked.  When  a  object  stays  still  that  means  the the  force  which  is  working  on  the  earth  by  the  bus  is  equal  to  the  force which  works  on  the  bus  by  the  earth. we  can  understand  it  clearly by,  Newton's second law of motion.  

This pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.  so  as  it  is  when  it  is  balanced  it  is  not  moving.

And  on  a  school  day  the  bus  is  moving  so  it  has  a  force  pulling  itself  forward .  so  it  means  that  the  force  which  the  bus  has  is  greater  than  the  gravitational  force.

A boat sends an ultrasound signal of frequency 30 kHz, and receives the signal after 6 s. If the speed of sound in water is 1500 m/s, then find the depth of the ocean.

PLEASE HELP

Answers

Answer:

4500

Explanation:

hey there!

first we convert the khz to hz=30000hz

we use the formula 2d=distance×time

2d=1500×6

d=9000/2=4500

i think this is the right answer....

hope this helps u :)

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