A 5 kg rock is dropped down a vertical mine shaft. How long does it take to reach the bottom, 79 meters below?

Answers

Answer 1

Answer:

The time for the rock to reach the bottom is 4.02 seconds.

Explanation:

Given;

mass of the rock, m = 5 kg

height of the rock fall, h = 79 meters

The time to drop to the given height is given by;

[tex]t = \sqrt{\frac{2h}{g} }[/tex]

where;

t is the time to fall to the bottom

g is acceleration due to gravity = 9.8 m/s²

[tex]t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2*79}{9.8} }\\\\t = 4.02 \ s[/tex]

Therefore, the time for the rock to reach the bottom is 4.02 seconds.


Related Questions

THIS QUESTION Blow my brains out I need helpppp y'all

Answers

Answer:

I am a math genus and this one is hard 3142 i think you multiple

Red light of wavelength 633 nmnm from a helium-neon laser passes through a slit 0.400 mmmm wide. The diffraction pattern is observed on a screen 2.90 mm away. Define the width of a bright fringe as the distance between the minima on either side.

Required:
a. What is the width of the central bright fringe?
b. What is the width of the first bright fringe on either side of the central one?

Answers

Answer:

a

 [tex]y_1 = 0.004589 \ m[/tex]

b

 [tex]y_2 =0.009179 \ m[/tex]

Explanation:

From the question we are told that

   The wavelength of the red light is  [tex]\lambda _r = 633 \ nm = 633 *10^{-9} \ m[/tex]

    The width of the slit is  [tex]d = 0.40 mm = 0.40 *10^{-3} \ m[/tex]

    The distance of the screen from the point of diffraction is [tex]D = 2.9 \ m[/tex]

Generally the width of the central bright fringe is mathematically represented as

       [tex]y_1 = \frac{\lambda * D}{d}[/tex]

=>    [tex]y_1 = \frac{633 *10^{-9} * 2.90 }{0.40 *10^{-3}}[/tex]

=>    [tex]y_1 = 0.004589 \ m[/tex]

Generally the width of the first bright fringe on either side of the central one is mathematically represented as

     [tex]y_2 = 2 * y_1[/tex]

=>   [tex]y_2 = 2 * 0.004589[/tex]

=>   [tex]y_2 =0.009179 \ m[/tex]

A family member wants to get into better shape. Choose an individual sport and explain how the family member's health

Answers

Answer:

I would say Basketball, football, or swimming

Explanation:

because they are fun and you get in better shape at the same time

2. What are the three phases of water?
solid, liquid, gas
conduction, convection, radiation
high, medium, low
positive, negative, neutral

Answers

Answer:

solid, liquid, gas

Explanation:

The three phases of water are the three states of matter water can be found in, and that is:

solid (as in ice)

liquid (as in water)

gas (as in water vapor)

Why is science important for society? (2 points)

a
It helps make decisions based on scientific reasoning.

b
It proves that all questions can be answered using science.

c
It emphasizes the importance of human choice in decision making.

d
It shows that all social problems can be solved using scientific knowledge.

Answers

Answer:

i think its d

Explanation:

i took this quiz and got 100 percent

What is the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum

Answers

Explanation:

We need to find the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum.

The wavelength in any medium is given by :

[tex]\lambda_m=\dfrac{\lambda}{n}[/tex]

Where, [tex]\lambda[/tex] is wavelength in vacuum and n is refractive index of the medium.

[tex]n=\dfrac{\lambda}{\lambda_m}\\\\n=\dfrac{\lambda}{0.671\lambda}\\\\=\dfrac{1}{0.671}\\\\=1.49[/tex]

So, the medium can be PMMA (acrylic, plexiglas, lucite, perspex) which have a refractive index of 1.49.

The index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.

What is the index of refraction of a material?

The index of refraction of a material is the ratio of wavelength of the wave in vacuum to the wavelength of the wave in the given medium.

The index of refraction is inversely proportional to the wavelength. It can be find out using the following formula.

[tex]n=\dfrac{\lambda}{\lambda_m}[/tex]

Here, (λ) is the wavelength in vacuum and (λm) is the wavelength in a medium.

The index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum (0.671×λ).

Plug in the values in the above formula,

[tex]n=\dfrac{\lambda}{0.671\times\lambda}\\n=1.49[/tex]

Thus, the index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.

Learn more about the index of refraction here;

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The mass of Jupiter is 0.001 solar mass. The orbital period of Jupiter is 11.9 Earth years.

What is the distance between Jupiter and the Sun?

5.2 AU
41 AU
52 AU
410 AU

Answers

Answer:

The distance between Jupiter and the Sun is 5.2 AU.

The answer would be A: 5.2 Au away from the sun (AU is the unit that is the same length as the distance between Earth and the Sun)

can superconductors conduct at 0 Kelvins?

Answers

Answer:

No, superconductors cannot conduct at 0 Kelvin's.

A hollow ball, rolls down a hill that is 9 meters high. What is the velocity at the bottom of the hill?

Answers

Answer:

13.28m/s

Explanation:

Given

Distance covered by the ball S = 9m

initial velocity u = 0m/s

Required

velocity at the bottom of the hill (final velocity)

Using the equation of motion

v² = u²+2gS

v² = 0²+2(9.8)(9)

v² = 18(9.8)

v² = 176.4

v = √176.4

v = 13.28m/s

Hence the velocity at the bottom of the hill is 13.28m/s

Calculate the height from which a body is released from rest if its velocity just before hitting the ground is 30 meter per seconds?

Answers

Explanation:

u = 0m/s

v = 30m/s

a = g = 10m/s²

s = H = ?

using the formula,

v² = u² + 2as

30² = 0² + 2(10)(H)

900 = 20H

H = 900/20

H = 45m

Answer:

the answer is

45m - height

A cannonball is launched horizontally with an initial speed of 48.0m/s. Determine
all unknowns.
m/s
initial speed:
initial horizontal speed:
initial vertical speed:
A/s
m/s
A

Answers

• initial speed: 48.0 m/s

The cannonball is shot horizontally, so

• initial horizontal speed: 48.0 m/s

• initial vertical speed: 0

A block with a mass of 10 kg is pulled at a 20 degree angle with a force of 75 N. The force of friction acting on the block is 15 N. What is the acceleration of the block in m/s??
Round your answer to the nearest tenth. (Numbers Only!
Type your answer

Answers

There are 4 forces acting on the block:

• its weight (magnitude w = m g = 98 N, where m = 10 kg and g = 9.80 m/s²), pointed downward

• the normal force (mag. n), pointed upward

• friction (mag. f = 15 N), pointing opposite the direction of motion

• the pulling force (mag. p = 75 N), pointing at a 20° angle with the positive horizontal direction

Let the direction in which the block is being pulled be the positive horizontal direction, and upward the positive vertical direction. Split up each force into their horizontal and vertical components, then apply Newton's second law. We have a net horizontal force of

F = p cos(20°) - f = m a

where a is the acceleration of the block. The net vertical force is 0, since the block gets dragged along the surface and doesn't move up or down (presumably).

Solve for a :

(75 N) cos(20°) - 15 N = (10 kg) a

a ≈ 5.4 m/s²

Yamel is heating up leftover mashed potatoes from Thanksgiving. She forgot to put gravy on them. So she puts the cold gravy on the hot mashed potatoes. Which statement best describes what will happen? A-The mashed potatoes will transfer heat into the gravy B-The gravy and mashed potatoes both transfer heat into the plate C-The gravy will transfer cold into the mashed potatoes D- The gravy transfers cold into the mashed potatoes and plate​

Answers

Answer:

The correct answer is - option A. The mashed potatoes will transfer heat into the gravy.

Explanation:

In this case, where Yamel heats the mashed potatoes but forgets to heat the gravy and put the cold gravy on the hot mashed potatoes. Heat always transfers from the high-temperature object to the low-temperature object. So the hot mashed potatoes will transfer the heat to the gravy according to option A. Cold is not a form of heat but the condition of absence of heat or very low temperature.

Thus, the correct answer is - option A. The mashed potatoes will transfer heat into the gravy.

PLEASE HELP!
A Cadillac Escalade car and a Mini Cooper car are both making a sharp right turn. The Escalade is four times more massive than the Mini Cooper. If both cars make the turn with the same constant speed, how do the centripetal forces acting on the two cars compare? Hint: use the Fc equation to consider how increasing the mass will affect the force.
The centripetal force cannot be determined without more information.
The centripetal force on the Mini Cooper is four times greater than that of the Cadillac Escalade.
The centripetal force on the Cadillac Escalade is four times greater than that of the Mini Cooper.
The centripetal force is the same for both cars.

Answers

Jaiamqmqmqmqmqkqmqnqnqjwnwjqqkjqqjkqqkqqkqnq

On the surface of the Mars, gravity is 3.8 m/s2 . An astronaut has a mass of 90 kg. (a) Calculate his weight on Earth, (b) State his mass when on Mars and (c) calculate his weight when on Mars.

Answers

Answer:

(a) W = 882 N

(b) m = 90 kg

(c) Wm = 342 N

Explanation:

(a)

The weight of n object on the surface of earth is given as:

W = mg

where,

W = Weight of Astronaut on Earth = ?

m = mass of astronaut = 90 kg

g = acceleration due to gravity on surface of earth = 9.8 m/s²

Therefore,

W = (90 kg)(9.8 m/s²)

W = 882 N

(b)

Mass of a body is a universal constant. The mass of the body remains same any where in the universe. Therefore, on mars the mass of astronaut will be:

m = 90 kg

(c)

The weight of an object on the surface of Mars is given as:

Wm = m(gm)

where,

Wm = Weight of Astronaut on Mars = ?

m = mass of astronaut = 90 kg

gm = acceleration due to gravity on surface of Mars = 3.8 m/s²

Therefore,

Wm = (90 kg)(3.8 m/s²)

Wm = 342 N

What is the angle of refraction?
15 degrees
30 degrees
74 degrees

Answers

Answer:

74 degrees

Explanation:

***************

Answer:

74 degrees on edge

Explanation:

+ Which of the following statements defines a pure substance?
O A. a material that has definite physical properties but not definite chemical properties wherever it is found
OB. a material that has definite physical properties and definite chemical properties wherever it is found
O c. a material that has definite chemical properties but not definite physical properties wherever it is found
OD. a material that has neither definite physical properties nor definite chemical properties wherever it is found

Answers

Answer: B. a material that has definite physical properties and definite chemical properties wherever it is found.

Explanation: I just did this and got it right

The statement that defines a pure substance is that a pure substance is a material that has definite physical properties and definite chemical properties wherever it is found, therefore the correct answer is option B.

What is the matter?

Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gas, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

The correct response is option B since the definition of a pure substance is that it is a material with distinct physical and chemical characteristics wherever it is found.

To learn more about the matter here, refer to the link;

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Wood ducks build their nests in holes in trees near lakes. If some of the trees were removed from around the lake, how would the wood ducks be affected

Answers

Answer:

They would have to relocate to a different tree or relocate or a different area that has trees.

Explanation:

A sub-atomic event in which a uranium nucleus splits into lighter
radioactive materials, neutrons, gamma rays, and neutrinos is called a
A fusion
B chain reaction
C enrichment
D Fission reaction

Answers

Answer:

A Fusion

Explanation:

A subatomic event when a uranium nucleus splits into two lighter radioactive materials, then it is a Fission reaction. Hence, option D is correct.

What is the Fission reaction?

Nuclear fission is the process by which an atom's nucleus breaks into two lighter nuclei during a nuclear reaction. This decay may occur naturally as a result of spontaneous radioactive decay, or it may be replicated in a laboratory setting by meeting the appropriate circumstances (bombarding with neutrinos). The resultant fragments typically weigh less when combined than the initial bulk.

Fusion reactions do not produce power, but fission reactions do. However, we haven't yet created technology that can control fusion reactions effectively enough to harness them for useful purposes.

Nuclear fusion operations are distinct from fission nuclear reactions in that the latter do not produce power for consumers.

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What does aerobic refer to?

A) How your body uses oxygen

B) No answer is correct

C) With little available oxygen

D) The absence of oxygen​

Answers

Answer:

A) how your body uses oxygen

It’s the first option

Scientists monitoring and predicting future volcanic eruptions can givr people living near Mt/ St. Helens prior warning so that they can take action. What additional measures could help reduce the negative impacts of a future eruption?

Answers

Answer:

first thing first they really have to concern about this,

and second one is people should leave those hazardous places

Answer:

-Emergency evacuation roadways could be designed.

-An Evacuation plan could be organized.

-Warning Sirens could be designed.

Explanation:

Those 3 are the answer.

Scientists from NASA discovered a Nebula with doubled the mass as the Nebula from which our Solar System formed. Explain the similarities and differences between the Solar System that will form from that Nebula and our Solar System. (Note: your response must include a discussion of gravity.)

Answers

Answer:

it forms another one

Explanation:

our solar system was formed by a nebula so that nebula is supposed to form another one

A car traveling at point k the car travels south for 8.0 km it then travels west for 5.0 km next it travels for 4,0 what is the total displacement of the car

Answers

What is this?

Explanation:

how many significant figures are in 46 m?​

Answers

The significant figures in 46 is two.
The first is 4
And the second is 6


A block of cheese is pulled on by a string and slides to the right along a rough surface.
What is the correct free body diagram for the block of cheese?

Answers

Answer:

Explanation:

KHAN ACADEMY

The free body diagram of the cheese block is attached with the answer.

What is free body diagram?

A free body diagram consists of a diagrammatic representation of a single body or a subsystem of bodies isolated from its surroundings showing all the forces acting on it.

Given is a block of cheese is pulled on by a string and slides to the right along a rough surface.

The free body diagram of the cheese block is given with the image attached. The force applied for the forward motion of the block is greater in magnitude than the frictional force. The weight of the block is balanced by the normal reaction force. The following mathematical relations can be written -

F - F(f) = ma

and

mg = N

m = N/g

So -

F - F(f) = (N/g)a

Therefore, the free body diagram of the cheese block is attached with the answer.

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What is the magnetic field a distance 0.03 m away from a long, straight wire carrying a current of 4.4 A?

Answers

Answer:

B = 2.93 x 10⁻⁵ T

Explanation:

The magnetic field due to a straight long wire carrying a current can be found by using Biot-Savart Law, as follows:

B = μ₀I/2πr

where,

B = Magnitude of the magnetic Field = ?

μ₀ = Permeability of free space = 4π x 10⁻⁷ Tm/A

r = distance from wire = 0.03 m

I = Current = 4.4 A

Therefore,

B = (4π x 10⁻⁷ Tm/A)(4.4 A)/(2π)(0.03 m)

B = 2.93 x 10⁻⁵ T

A rock of mass 0.340 kg is spun horizontally at the end of a wire that has a diameter of 1.00 mm. If the wire gets stretched by 2.00 mm when the rock moves at a speed of 19.0 m/s, what is the Young's modulus of the wire?

Answers

Answer:

Y = 78.13 x 10⁹ Pa = 78.13 GPa

Explanation:

First we will find the centripetal force acting on the wire as follows:

F = mv²/r

where,

F = Force = ?

m = mass of rock = 0.34 kg

v = speed = 19 m/s

r = length of wire

Therefore,

F = (0.34)(19)²/r

F = 122.74/r  

now, we find cross-sectional area of wire:

A = πd²/4

where,

A = Area = ?

d = diameter of wire = 1 mm = 0.001 m

Therefore,

A = π(0.001)²/4

A = 7.85 x 10⁻⁷ m²

Now, we calculate the stress on wire:

Stress = F/A

Stress = (122.74/r)/(7.85 x 10⁻⁷)

Stress = 1.56 x 10⁸/r

Now, we calculate strain:

Strain = Δr/r

where,

Δr = stretch in length = 2 mm = 0.002 m

Therefore,

Strain = 0.002/r

now, for Young's modulus (Y):

Y = Stress/Strain

Y = (1.56 x 10⁸/r)/(0.002/r)

Y = 78.13 x 10⁹ Pa = 78.13 GPa

Is a bow and arrow by themselves potential or kinetic?

Answers

Answer:

Potential energy

Explanation:

When the string is released, the potential energy is converted to kinetic energy in the movement of the arrow. The string pushes the arrow out and is the driving force behind the motion.

It is potential energy until u pick it up and fire an arrow.

The bowling ball in the following figure is whizzing down the bowling lane at 4 m/s. If the mass of the bowling ball is 7 kg, what is its kinetic energy?

Answers

Answer:

Answer for this question is 3590792.

Answer:

56 Joules

Explanation:

We are given:

Mass of the Ball = 7 kg

Velocity of the Ball=  4 m/s

Kinetic Energy of the Ball:

We know that:

Kinetic Energy = 1/2 (Mass * Velocity²)

replacing the values

Kinetic Energy = 1/2(7 * (4)²)

Kinetic Energy = 1/2(7 * 16)

Kinetic Energy = 56 Joules

what are some possible results of constructive forces on earth's surface

Answers

Answer:

what are the choices

Explanation:

Answer:

Landforms are a result of a combination of constructive and destructive forces. Collection and analysis of data indicates that constructive forces include crustal deformation, faulting, volcanic eruption and deposition of sediment, while destructive forces include weathering and erosion.

Explanation:

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