The 5.0-m-long rope in (Figure 1) hangs vertically from a tree right at the edge of a ravine. A woman wants to use the rope to swing to the other side of the ravine. She runs as fast as she can, grabs the rope, and swings out over the ravine.
When she's directly over the far edge of the ravine, how much higher is she than when she started?
Given your answer to Part A, how fast must she be running when she grabs the rope in order to swing all the way across the ravine?

Answers

Answer 1

She is 1.0 m higher than she is when she started. The speed at which the woman must be running when she grabs the rope is 4.427 m/s

Suppose we consider the Figure 1 to be a right-angle triangle;

where;

the hypotenuse is the rope = (5.0 m),the opposite side is the ravine = (3.0 cm) and;the adjacent is the slant imaginary distance = (x)

Using Pythagoras rule;

(hyp)² = opp² + adj²

5.0² = 3.0² + x²

x² = 25 - 9

x² = 16

x = √16

x = 4 m.

When she is directly over the far edge of the ravine, the height at which she is far higher than where she started is:

= 5cm - 4cm

= 1 cm

The speed at which the woman must be running when she grabs the rope can be determined by taking both the potential energy and kinetic energy of the system, which can be computed as:

mgh = 1/2 mv²

Making the speed the subject of the formula, we have:

[tex]\mathbf{v = \sqrt{2gh}}[/tex]

[tex]\mathbf{v = \sqrt{2\times 9.8 \times 1.0}}[/tex]

v = 4.427 m/s

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Related Questions

Now explore friction force. Set the piece of plastic or wood on the table and push it steadily across the tabletop using your fingertip. Note how much opposition to your push you feel. Repeat the steps, but this time push the piece of plastic or wood across a rug, carpet, or piece of fabric. If you’re using fabric, be sure to secure the fabric so it doesn’t move. How does the opposition to the motion on the tabletop compare with that of the rug, carpet, or fabric? (I don't wanna do this so can someone answer this please)

Answers

Answer: If there is a higher friction, the opposition force is higher so that it can reduce our speed. So, a factor that affects friction is the roughness or smoothness of the surface of the object. In comparison of the table with the fabric, the fabric will have a more opposition force. As the surface of the fabric is usually rougher than the surface of a smooth table. As there is more friction on a fabric, we will feel more opposition force on our finger tip.

Hope it helped! :>

given a force of 88N and an acceleration of 4 m/s 2, what is the mass?

Answers

Answer:22kg

Explanation:

from F=ma, 88=4m, m=22kg

a race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds , how far does it move during this time

find distance and acceleration

PLEASEEEE HELP I HAVE A PHYSICS EXAM TOMORROW AND IM STRUGGLING

Answers

Answer:

add 44m/s and 22m/s then multiply it by 11

Explanation:

A race car traveling at 44m/s slows at a constant rate to a velocity of 22m/s over 11 seconds, Acceleration is -2 m/s² (deceleration), and distance is 242 meters.

To solve this problem, it is given:

Initial velocity ([tex]\(v_i\)[/tex] ) = 44 m/s

Final velocity ([tex]\(v_f[/tex] ) = 22 m/s

Time ([tex]\(t\)[/tex] ) = 11 s

We have two tasks: finding the acceleration (a) and then using it to calculate the distance (d).

1. Calculate Acceleration (a):

[tex]\[a = \frac{v_f - v_i}{t} \\\\= \frac{22 \, \text{m/s} - 44 \, \text{m/s}}{11 \, \text{s}} \\\\= -2 \, \text{m/s}^2\][/tex]

The negative sign indicates deceleration (slowing down).

2. Calculate Distance (d):

Using the kinematic equation:

[tex]\[d = v_i \cdot t + \frac{1}{2} \cdot a \cdot t^2\][/tex]

Plugging in the values:

[tex]\[d = (44 \, \text{m/s}) \cdot (11 \, \text{s}) + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (11 \, \text{s})^2\][/tex]

Calculating the first part:

[tex]\[d = 484 \, \text{m} - 121 \, \text{m} \\\\= 363 \, \text{m}\][/tex]

Calculating the second part:

[tex]\[d = 363 \, \text{m} + \frac{1}{2} \cdot (-2 \, \text{m/s}^2) \cdot (121 \, \text{s}^2) \\\\= 363 \, \text{m} - 121 \, \text{m} \\\\= 242 \, \text{m}\][/tex]

The total distance the race car moves during this time is 242 meters.

Thus, acceleration is -2 m/s² (deceleration), and distance is 242 meters.

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#SPJ3

Why are saturn's rings so noticeable?.

Answers

Answer:

Why are Saturn's rings so noticeable? They are made of lots of fresh, bright icy particles from a recent breakup.

Explanation:

Compare the amplitude of these waves.

Answers

Answer:

a smooth

b less smooth

c faster

d faster than fast c

e to fast for fast

Explanation:

is putting water in a water bottle increasing its mass?

Answers

Answer:

No

Explanation:

Answer:

yes

Explanation:

Rubies are used in electronics.
Please select the best answer from the choices provided
) Т
) F

Answers

False, rubies are not used in electronics because they are bad conductors.

Voltage ______

Question 1 options:

is measured in Volts


causes current


pushes free electrons around a circuit


all of the choices

Answers

all of the choices.

Explanation:

....

Which of the following correctly describes the law of conservation of matter?
Group of answer choices

A.) Matter can only be created, but not destroyed in chemical equations

B.) Matter can neither be created nor destroyed during a chemical reaction

C.) Matter can be destroyed during a chemical reaction as long as it is created again in a different reaction

D.) Matter makes up 98% of stuff in the universe, so it has to be created and destroyed sometimes

Answers

Answer:

C

Explanation:

Tama Po yan don't worry

A sports car accelerates from 0 to 60mph ,27 m/s ,in 6.3 secounds .The car exerts a force of 4106N . What is the mass of the car

Answers

The car accelerates 60 mph in 6.3 seconds. Thus, the acceleration is [tex]\frac{60}{6.3}[/tex]. [tex]f=ma[/tex], so [tex]4106 = m(\frac{60}{6.3})[/tex], so [tex]m=431.13[/tex].

1. When a 50,000 kg rocket blasts off there is a large force that acts on the rocket at the moment
of take off. In 0.137 seconds, the rocket suddenly has traveled 4.2 meters. What force from
the rocket engines caused the acceleration? (Hint: first find acceleration.)

Answers

Hi there!

We can begin by calculating the acceleration using the kinematic equation:

d = vit + 1/2at²

Since the rocket starts from rest, we can rewrite this as:

d = 1/2at²

Plug in given values:

4.2 = 1/2a(0.137²) ⇒ a = 447.55 m/s²

Now, we can use Newton's Second Law to find the appropriate force:

∑F = m · a

∑F = 50,000 · 447.55 = 22,377,500 N

How do atoms join together?

Answers

Answer:

Atoms can be joined together by chemical bonds.

Explanation:

When atoms form bonds, they can achieve a stable electron arrangement. To achieve a stable electron arrangement atoms can lose, gain or share electrons. There are many different types of bonds that hold atoms together.

Answer:

Atoms come together to form molecules because of their electrons. Electrons can join (or bond) atoms together in two main ways. When two atoms share electrons between them, they are locked together (bonded) by that sharing. These are called covalent bonds.

Explanation:

You are carrying a heavy bag of sand, not realizing it has a hole in the bottom. As you are walking, the bag becomes easier to carry. Explain this situation using Newton's Second Law​

Answers

Newtons second law of motion states that, the force acting on a body is directly proportion to the mass times the acceleration of the body

The equation use to represent the second law is given below

F = ma

Explanation of the situation: When the heavy bag was being carried initially , the full weight will be felt, but as the bag keeps losing more sand the weight will be reducing and so the force the person carrying the bag will feel will become less and this will go on as more sand keeps dropping off the bag

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What quantity is represented by the mass number minus the atomic number?.

Answers

Answer:

Mass = mass of nucleus

Atomic Number = number of protons (charge) of nucleus

Mass - Atomic Number = number of neutrons

How does the radius of a string affect centripetal force.

Answers

Answer:

because a raduis is half of 25% of a cicrle.

Explanation:

An object of mass 10 kg is moving along positive x- axis with velocity 5 m/s. At some point it breaks into two parts of 6 kg and 4 kg. 6 kg moves making 600 with x –axis and 4 kg moves making -300 with axis. What is velocity of their centre of mass after breaking?

Answers

Explanation:

Correct option is

B

−3m/s

2

Given,

m=10kg

u=10m/s

v=−2m/s

t=4sec

The acceleration is rate of change of velocity,

a=

t

v−u

a=

4

−2−10

a=

4

−12

=−3m/s

2

The correct option is B.

what is radiation?....​

Answers

Answer:

the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles which cause ionization.

is called radiation

Answer:

Radiation is energy that comes from a source and travels through space at the speed of light

Explanation:

I hope it's help u

A train is running at a speed of 60 m/s . what will this speed be in km/h ?​

don't answer if u don't know
spammers = reported

Answers

Speed= 60 m/s

for converting m/s to km/h =multiply with 5/18

for converting km/h to m/s= multiply with 18/5

so, 60 × ( 18/50) = 216 km/h

2. physical quantities which do not depend on any physical quantities for their measurements are known as​

Answers

Answer:

Fundamental quantities

How many minutes did it take for all of the gold in the sample to change from solid to liquid? Time taken minutes =​

Answers

Calculate the amount of time it takes to heat the water by dividing the power used to heat the water, which was determined to be 1.867 with the heater element rating, listed in kW. So if your heater element rating was 3.6 kW, your equation would look like this: heating time = 1.867 ÷ 3.6, or heating time =0.52 hours.

Some houses are built with very thick walls. Explain how these walls help to keep the houses
warm in the winter.
Thicker walls provide more materal for .......
to travel through from the inside to outside, so the
is less, keeping the houses warmer.
(2 marks)

Answers

Answer:  It banks night-time cool to bring temperatures down in the day, and warms up over the course of the day and then releases the warmth at night. Thick walls or exposed solid floors can provide thermal mass. The shape of buildings matters too, and the orientation around each other so that the wind moves in particular ways. Hope this helps, tell me if I need to add anything. :))

31. TRUE or FALSE A cheese puff must contain C since CO2 was produced when it was burned,

I

Answers

Answer:

True

Explanation:

Will a dead animal decay faster if it died in the hot summer or in the cold winter?

Answers

Answer:

hot summer

Explanation:

it's common sense

Answer:

Hot summer

Explanation:

If the body is exposed to heat then it would decompose faster because the climate is more humid. Whereas if it was in the cold winter then it would decompose slower (not to mention that it could freeze causing it not to decompose at all).

Solve 100N up 90N down for net force

Answers

Answer:

10 Newtons up

Hope this helps!

A 46.5-kg ball has a momentum of 57.2 kg m/s. What is the ball's speed?

Answers

Answer:

1.23 m/s

Explanation:

p=mv

57.2 = 46.5v

v= 57.2/46.5

v= 1.23

If you want to verify your answer, just insert the value of v in the equation.

choose 3 ways to keep our bodies healthy
. play in the mud
.sanitize your hands
. break a window
. eat vegies
. eat burgers
. take daily showers
. bite your arm
(i already know it)

Answers

Sanitize your hands, eat veggies, take daily showers. Hope this helped! (No explanation needed lol)



This was fun to answer.

Taking Earth to be a perfect sphere, find the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation. The 32nd parallel north is a circle of latitude that is 32 degrees north of the Earth's equatorial plane. Take the Earth's radius to be 6,371,000 m

Answers

The linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s

We find the linear speed of a point on the 32nd parallel from v = rω where r = radius of 32nd parallel north = Rcos32° (since it is the radius of the small circle at the 32nd parallel) where R = radius of earth = 6,371,000 m and ω = angular speed of the earth = 2π/T where T = period of earth = 24h = 24 × 60 × 60 s = 86400 s.

So, v = rω

v = Rcos32° × 2π/T

v = 2πRcos32°/T

substituting the values of the variables into the equation, we have

v = 2πRcos32°/T

v = 2π × 6,371,000 m × cos32°/86400 s.

v = 2π × 6,371,000 m × 0.8480/86400 s.

v = 33947512.5035 m/86400 s

v = 392.91 m/s

So, the linear speed of a point located on the 32nd parallel, as a result of Earth’s rotation is 392.91 m/s

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I couldn't answer this question may someone please help me

Answers

Distance (s) =20 m

Initial velocity =0 m/s

g=10 m/s²

By using the formula:

v²= u²+ 2as

v²=0²+ 2×10×15

v²= 300

V= 10root over 3

[tex]10 \sqrt{3} [/tex]

For calculating time,

v= u+ at

10 root over 3 = 0+ 10t

10 root over= 10t

t = 1 root over 3

t = 1.73 s

[tex]1 \sqrt{3} [/tex]

The the stone will hit the ground with a velocity of 10 root over 3 m/s in 1 root over 3 sec.

What can the magnetic fields influence?

A) It can cause objects to be pulled towards the magnet and pushed away from the magnet.

B) It only causes a repel force between the magnets.

C)It cause only an attraction force.

Answers

Explanation:

Magnetic fields are areas where an object exhibits a magnetic influence. The fields affect neighboring objects along things called magnetic field lines. A magnetic object can attract or push away another magnetic object. You also need to remember that magnetic forces are NOT related to gravity.

Where could light travel the easiest and fastest?

A) through air
B) through empty space
C) through liquid hydrogen

Answers

Explanation:

Light travels fastest through air

Answer:

try through air

Explanation:

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Which structure is found in all eukaryotic cells?flagellalarge central vacuoleciliaGolgi apparatus Project: On Assignment as a Web DeveloperAssignment Directions:Create a web page for a fictitious company: Widgets Inc. has hired you to make a mock-up for their new website. They are on a budget and only want to have a presence on the Internet. They do not need any fancy bells and whistles. They have sent you an email message with the basic parameters of the site.The site should have at least three pages. They should include the landing page (commonly named index.htm), a contact page, and a "Meet the Company" page.Each page should have an identical header containing the company name and motto: "We make widgets fun!"Each page must include navigation back to the home page (without needing to use the Back button on the browser).All font styles and alignment must be performed with inline CSS.The company mascot is a dog, but there is no logo provided in this project. Any picture of a dog will do. Make sure it is prominently displayed on each page.Each page should display in a web browser with a title.All employees on the "Meet the Company" page can be random people's photos from the Internet. Please include Jack Sprat, President, Tom Thumb, Vice President, Sally Flag, Treasurer, and Monty Fuller, Secretary.All text for these pages can be fake. See this website to create filler paragraphs.Make up email addresses, but use the mail to: command as a hyperlink and display the person's name and not the actual address.Each page should have a link to the other pages.Link to at least three remote web pages. One of these should be formatted in an iframe.The main page should have a sample product table including the following information:Name Size Color Lead time Price Discount (for 10)W-1 1X1 Blue 1 week $200.00 10%R-2 2X2 Green 1 week $1,200.00 15%D-2 2X3 Red 2 weeks $12,000.00 20%Assignment Guidelines:Projects will be assessed on following the requirements and style. Use color (creatively), at least two typefaces, headings, bold and italics, images, background colors, and so on to make your pages.Submission Requirements:Standard HTMLQuestion # 1File UploadEnsure that you fulfill all requirements, then upload your final web page project. Is y=1/2x+7 a function what is the answer forDetermine the constant of proportionality for the graph.10 1/5 5 or 2 As a long-term investment, Fair Company purchased 20% of Midlin Company's 300,000 shares for $360,000 at the beginning of the reporting year of both companies. During the year, Midlin earned net income of $135,000 and distributed cash dividends of $0.25 per share. At year-end, the fair value of the shares is $375,000. Assume no significant influence was acquired. Record the transactions from the purchase through the end of the year, including any adjustment for the investments fair value, if appropriate. 2. Assume significant influence was acquired. Required:Record the transactions from the purchase through the end of the year, including any adjustment for the investments fair value, if appropriate. Determine if y=32z+12 is linear, quadratic, or exponential. How did the United States benefit from the Spanish American war? Ill give you The brain latest mark if you answer from the bottom of your heartIs being gay okay? the cell that is infected by a virus is called a bacteriophage find the slope and y intercept. 12. How were the attempts to enactcivil service reform ineffective anddeadly for Presidents Hayes &Garfield? Different between the Nature of these sound waves and the water waves which two houses are part of the united states congress? Due to a recent drought, a farmer has lost quite a bit of soil on his fields because:A) the rain has washed it away.B) the animals have been trying to eat the soil due to lack of food.C) the plants have absorbed the soil.D) wind has carried away the dry soil.Pls help I promise I'll give brainliest. Thanks!Southerners were concerned that Northerners were going to place restrictions on the sale of ___ at bargain prices. Christine made $143 for 11 hours of work.At the same rate, how many hours would she have to work to make $221? 2. A passenger train travels at an average speed of 45 mph and it took the passengers 27minutes (.45 hours)to get to their destination. How many miles did the train travel? 6. Challenge: Based on the weathering patterns, guess the rock type shown in each photo. Write a program that reads a list of integers, and outputs whether the list contains all even numbers, odd numbers, or neither. The input begins with an integer indicating the number of integers that follow.If the input is:5246810Then the output is:all evenIf the input is:513579 what material do you turn into if you are touched by the greek king midas