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

1. How much heat is released when a 25 g sample of water (c = 4.184) is cooled from 99 °C
to 75 °C?

Answers

you use the following formula Q=mc(T-T) and Q=25x4.184x(75-99) and the final answer is approximately 2500j is lost


1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?

Answers

The amount of potential energy the block contains is 2,822.4 Joules

Given the following data:

Mass of block = 12 kgHeight of platform = 24 meters.

We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].

To determine the amount of potential energy the block contains:

Mathematically, potential energy (P.E) is given by the formula;

[tex]P.E = mgh[/tex]

Where:

m is the mass of object.g is the acceleration due to gravity.h is the height of an object.

Substituting the parameters into the formula, we have;

[tex]P.E = 12 \times 9.8 \times 24[/tex]

Potential energy (P.E) = 2,822.4 Joules

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What is the net force on a 4,000-kg car
that doubles its velocity from 15 m/s west
to 30 m/s west over 10 seconds?

Answers

Answer:

6000 N toward west

Explanation:

F = ma

a = 30-15/10 = 1.5 m/s^2 towards west

m = 4000 kg

F = 4000 x 1.5 = 6000 N towards west

State the general purpose of an experiment, using the terms dependent and independent variable

Answers

Answer:

Image result for State the general purpose of an experiment, using the terms dependent and independent variable

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable

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The person is in motion
relative to...

Answers

Answer:

muscular force in relative to this

Which is larger, the sun's pull on earth or earth's pull on the sun?.

Answers

Answer:

the suns pull

Explanation:

The Sun's pull on Earth is twice as large as Earth's pull on the much larger Sun.

Suppose cars start at a car race. In how many ways can the top 3 cars finish the race?.

Answers

Answer:

there is six ways the top three cars can finish the race

A block of mass m is initially at rest on a rough horizontal surface when a constant force F is exerted on it, as shown. The block accelerates to the right and is moving with speed v once it has moved a distance d. Which of the following equations can be used to solve for the force of friction exerted on the block by the surface?

Answers

The equations that can be used to solve for the force of friction exerted on the block by the surface is F- f = mv² / d

The constant force F is exerted on the block of mass and it accelerates with a speed, v and covering a distance of d in the direction of the force. The force of friction is an opposing force to the applied force.

Therefore,

using Newtons third law

F - f = ma

a = v/t

t = d/v

F - f = m × v / t

F- f = m × [tex]\frac{v}{\frac{d}{v} }[/tex]

F- f = m × v²/d

Therefore,

F- f = mv² / d

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What is the mass of an object that weighs 20N on earth? Use g=9.8 N/kg

Answers

Answer: Therefore, the mass of the object is 2.222 kg on the Earth, Moon, Saturn, Mercury and everywhere else it goes.

Explanation:

Answer:

the mass is 2.04

Explanation:

The weight of an object is calculated by: W=Mg

Solving for M:  M=W/9

M=20/9.8 = 2.04

sports photographers often use large aperture, long focal length lenses. what limitations do these lenses impose on the photographs?

Answers

Answer:

The depth of focus achievable with those lenses is small.

Explanation:

A larger aperture makes it much harder to focus on more than one object. When using a telephoto lens (the ones the question is referring to), the depth of focus is very small. For example, using a telephoto lens to take a photo of a runner might get the runner in focus, but certainly not the track, or the audience behind them. If you look at photos, especially older photos, of Olympians in almost any sport you can see this.

Hope this helps!

a person weighing 500 N climbs 3 m how much power. is needed to make the climb in 5 s?

Answers

Answer:

300watts

Explanation:

Answer:

300 watts

lol hoped this helped

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Calculate torque using angular momentum

Answers

Answer:

The equation net τ=ΔLΔt net τ = Δ L Δ t gives the relationship between torque and the angular momentum produced.

To solve a problem using the equation for Kepler’s third law, Enrico must convert the average distance of Mars from the Sun from meters into astronomical units. How should he make the conversion? multiply the average distance by 1. 5 × 1011 multiply 1. 5 × 1011 by the average distance divide the average distance by 1. 5 × 1011 divide 1. 5 × 1011 by the average distance.

Answers

The conversion from meters to astronomical units is done by dividing the average distance by 1. 5 × 10^11.

Just as different areas of human endeavor has different units, the unit of length in astronomy is astronomical units. The astronomical unit is defined as the distance between the center of the earth and the sun.

To  solve a problem using the equation for Kepler's third law, Enrico must convert the average distance of Mars from the Sun from meters into astronomical units. This is done by dividing the average distance by 1. 5 × 10^11.

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Question 1 of 11
The book has a mass of 2.5 kg.
What net force must act on the book to make it accelerate to the left at a rate
of 7.0 m/s2? (Hint: Use F = ma.)
O A. F = 17.5 N right
OB. F = 2.8 N right
O C. F = 2.8 N left
O D. F = 17.5 N left

Answers

Answer:

D. F= 17.5 N left

Explanation:

I just took the quiz and got it correct!

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Why there has to be a driving force to keep the car moving at a constant speed?​

Answers

Explanation:

For example, when a car travels at a constant speed, the driving force from the engine is balanced by resistive forces such as air resistance and friction in the car's moving parts. ... an object falling at terminal velocity experiences the same air resistance as its weight.

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.

Waves can be refracted.
Explain this term.


HELP PLSSS

Answers

Answer: By "waves can be refracted" they mean that refraction can occur with waves. To better explain, refraction is the "change in direction of a wave passing from one medium to another or from a gradual change in the medium."  You probably know this best when you put a pencil inside a glass of water where the pencil bends a bit. The same can happen with sound or water waves as well!

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Refraction can happen with waves

If you drag a 50kg block across the floor which has a coefficient of friction of .30, what is
the force needed to accelerated it at 2.0m/s^2 ?

Answers

Answer:

750 Newton

Explanation:

force=mass(acceleration)

When astronomers carefully examine the planets found by Kepler and draw conclusions from the Kepler sample, what do they conclude about planets the size (radius) of Earth

Answers

Given what we know about the Kepler space program, we know that the astronomers discovered that Earth-sized planets are more common than we imagined.

Kepler was launched with the intention of getting a closer look at other planets outside of our solar system using enhanced photometrics.

The idea behind this launch was to discover more Earth-sized planets, preferably within the habitable zone of their central star.

What this mission showed astronomers, is that Earth-sized planets are more common than we could have imagined, Kepler proved this by finding over 2,662 planets to date.

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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

What symbols are these?

Answers

Answer:

the bottom one is wollsiegel

we cannot see the milky way galaxy without binocular or telescopes. true or false?

Answers

Answer:

I'm pretty sure it's false

Explanation:

.

Is mixing mixing sugar and cinnamon a chemical or physical change?

Answers

Answer:

It is a physical

Explanation:

it is a physical change , u are only mixing them together , not changing their chemical makeup

A 2 kg object has a specific heat capacity of 1,700 J/(kg \cdot⋅oC)
To raise this object's temperature from 15 Celsius to 25 Celsius, the object must absorb _______ Joules of heat.

Answers

The amount of heat needed to raise the temperature of a 2kg object from 15°C to 25°C is 34000J.

HOW TO CALCULATE SPECIFIC HEAT CAPACITY:

The amount of heat absorbed by an object can be calculated by using the following expression:

Q = m.c.∆T

Where;

Q = amount of heat absorbed or released (J)m = mass of objectc = specific heat capacity (J/g°C)∆T = change in temperature (°C)

According to this question, 2 kg object has a specific heat capacity of 1,700J/kg°C and was raised from a temperature of 15 Celsius to 25 Celsius. The heat absorbed is calculated as follows:

Q = 2 × 1700 × {25 - 15}

Q = 3400 × 10

Q = 34000J

Therefore, the amount of heat needed to raise the temperature of a 2kg object from 15°C to 25°C is 34000J.

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Please help! Question is attached!​

Answers

Answer:

1. -6m/s

2. 0m/s

3. 3m/s

4.14.38N

5. 25.9 J

Explanation:

1. point A and C same height means velocity will be the same just in opposite direction,  = -6m/s

2. at max height vertical velocity is 0

3. same as point A

4. Weight is mg = 1.438*10 = 14.38N

5. total energy is KE+PE, which never changes

so TE = 32.4 and KE =6.5J then PE = 32.4-6.5 = 25.9 J

Which of the following will require most developed countries to
decrease emissions of carbon dioxide and other greenhouse gases?
a. Montreal Protocol c. Emissions Reduction Act
b. Kyoto Protocol d. Reforestation Project

Answers

Answer:

Kyoto Protocol

Explanation:

If you double the pressure of a constant amount of gas at a constant temperature, what happens to the volume

Answers

Answer: if you double the pressure, you will halve the volume. If you increase the pressure 10 times, the volume will decrease 10 times.

Explanation:

The Earth system is an example of a(n)

Answers

Dynamic system meaning a combination of interrelated, interdependent or interacting parts forming a collective whole or entity. On a macro level, the Earth system maintains its existence and functions as a whole through the interactions of its parts

When is there no atmospheric pressure pjysics.

Answers

The widely accepted boundary where space begins, which would also be the point where the air pressure is assumed to be zero, is called the Kármán line, which is located 100 km (62mi) up.

a stone is thrown vertically upward with an initial velocity of 25m/s , calculate time taken to return to the thrower

Answers

Answer:

can you give me abrainlest??

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