A 100 kg bungee jumper leaps from a bridge. The bungee cord has an un-streched equilibrium length of 10 m, and a spring constant of 35 N/m. What is the greatest vertical distance below the bridge surface that the bungee jumper will reach? Enter your answer as a positive number in meters, but do not enter units.

Answers

Answer 1

Answer:

11.78meters

Explanation:

Given data

Mass m = 100kg

Length of cord= 10m

Spring constant k= 35N/m

At the greatest vertical distance, the spring potential energy is equal to the gravitational potential energy

That is

Us=Ug

Us= 1/2kx^2

Ug= mgh

1/2kx^2= mgh

0.5*35*10^2= 100*9.81*h

0.5*35*100=981h

1750=981h

h= 1750/981

h= 1.78

Hence the bungee jumper will reach 1.78+10= 11.78meters below the surface of the bridge

Answer 2

Answer:

[tex]X=74.7[/tex]

Explanation:

From the question we are told that:

Mass [tex]m=100kg[/tex]

Length [tex]l=10m[/tex]

Spring constant [tex]\mu=35N/m[/tex]

Generally the equation for potential energy of mass is mathematically given by

 [tex]P.E_m=mgh[/tex]

Since

 [tex]P.E_m=P.E_s[/tex]

Where

 P.E_s =potential energy of spring

Therefore

[tex]m*g*(x+10) = 0.5*k*\mu^2[/tex]

[tex]100*9.8*(x+10) = 0.5*35*\mu^2[/tex]

[tex]980*(x+10) = 17.5*\mu^2[/tex]

[tex]980*x+9800 = 17.5*\mu^2[/tex]

 [tex]17.5*\mu^2 - 980*\mu - 9800 = 0[/tex]

Comparing the equation above with standard quadratic equation

 [tex]17.5*\mu^2 - 980*\mu - 9800 = 0[/tex]

 [tex]ax^2+bx+c=0[/tex]

Giving

  [tex]a=17.5\\ b=-980\\ c=-9800[/tex]

Solving Quadratic equation the roots of the equation is given as

 [tex]\mu_1=64.66[/tex]

 [tex]\mu_2=-8.661[/tex]

Since

[tex]\mu[/tex] can not be -ve

Therefore

The vertical distance attained by the bungee jumper is given as

 [tex]X=\mu+l[/tex]

 [tex]X=64.7+10[/tex]

 [tex]X=74.7[/tex]


Related Questions

A projectile is launched from the ground with an initial velocity of 12ms at an angle of 30° above the horizontal. The projectile lands on a hill 7.5m away. The height at which the projectile lands is most nearly

A- 1.78m
B- 3.10m
C- 5.34m
D- 6.68m
E- 12.0m

Answers

Answer:

A. 1.78 m

Explanation:

Given;

initial velocity of the, u = 12 m/s

angle of projection, θ =  30°

the range of the projectile, R = 7.5 m

To obtain the height through which the projectile lands, we must calculate the maximum height reached by the projectile.

[tex]H = \frac{u^2\ sin^2\theta}{2g} \\\\H = \frac{(12)^2\times (sin(30))^2}{2 \times 9.8} \\\\H = \frac{144 \times (0.5)^2}{19.6} \\\\H = 1.84 \ m[/tex]

Therefore, the height is most nearly 1.78 m

A car accelerates at a rate of 13m/s^2[S]. If the car's initial velocity is 120km/h[N]. What will its final velocity be in m/s, after two seconds.

Answers

Answer:

the final velocity of the car is 59.33 m/s [N]

Explanation:

Given;

acceleration of the car, a = 13 m/s²

initial velocity of the car, u = 120 km/h = 33.33 m/s

duration of the car motion, t = 2 s

The final velocity of the car in the same direction is calculated as follows;

v = u + at

where;

v is the final velocity of the car

v = 33.33 + (13 x 2)

v = 59.33 m/s [N]

Therefore, the final velocity of the car is 59.33 m/s [N]

Where was the first FIFA World Cup held?
(HINT: The host country won the tournament

Answers

Answer:

The 1930 FIFA World Cup was the inaugural FIFA World Cup, the world championship for men's national association football teams. It took place in Uruguay from 13 to 30 July 1930.

Explanation:

hope it helps if so pls give it the brainliest answer

Answer:

[tex]\huge\boxed{Uruguay\hookleftarrow}[/tex]

The first FIFA World Cup Championship took place in Uruguay from from 13 July 1930 to 30 July 1930.

When will electric charges flow?
A. When the circuit is open.
B. When the circuit is incomplete.
C. When the circuit is closed.
D. When the switch is off.

Answers

c. when the circuit is closed

Answer:

A

Explanation:

What is the product of an oxidation reaction?
Ozone
Oxygen
Oxide

Answers

Answer:

Oxide

Explanation:

Ozone and oxygen are oxidising agents

[tex]O _{3} \: \: ozone \\ \\ O _{2} \: \: oxygen[/tex]

Answer:

Oxygen

Explanation:

The name oxidation actually originates from the word oxygen so the question answers it's self.

In case you don't know what oxidation is:

Oxidation occurs when an atom, molecule, or ion loses one or more electrons in a chemical reaction. When oxidation occurs, the oxidation state of the chemical species increases. Oxidation doesn't necessarily involve oxygen! Originally, the term was used when oxygen caused electron loss in a reaction.

Have a great day <3

Ellie cycled from her home to her friend’s house. She stayed at her friend’s house and then travelled home.
a. At what time did Ellie leave home?
b. How far was Ellie from home while visiting her friend?
c. How long did Ellie stay at her friend’s house?

Answers

I think the answer. Is C

For every 120 joules of energy input a car wastes 85 joules , find the useful energy output of the car ?

Answers

Answer:

35 Joules

Explanation:

Applying

Input Energy(Q) = Useful energy output(U)+Wasted Energy(W)

Q = U+W.............................. Equation 1

Make U the subject of the equation

U = Q-W................... Equation 2

From the question,

Given: Q = 120 Joules, W = 85 Joules

Substitute these values into equation 2

U = 120-85

U = 35 Joules

Help please, with #18, it’s a basketball question

Answers

Answer: D

Explanation:

Answer:

C. A lob pass.

Hope this helps!!

If a person displaces a mass of
60kg through 300 metres in 1
Minute, what is the power?
?​

Answers

Answer:

Power = 2940 Watts

Explanation:

Given the following data;

Mass = 60 kg

Height = 300 meters

Time = 1 minutes = 60 seconds

To find the power;

First of all, we would determine the potential energy possessed by the person due to height.

We know that acceleration due to gravity is equal to 9.8 m/s².

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

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

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Substituting into the formula, we have;

P.E = 60 * 9.8 * 300

P.E = 176400

Next, we find the power using the following formula;

Power = energy/time

Power = 176400/60

Power = 2940 Watts

A monochromatic beam of light has a frequency of 6.5 x 10" hertz. What color is the light?
O orange
O yellow
O violet
O blue

Answers

Answer:

violet

Explanation:

See the picture and Anwser This

Answers

Answer:

20 m/s

Explanation:

Look at the time on the x-axis. Go up from 2 seconds until you reach a point. From that point go to the left and read from the y-axis.

The power of crane is 30000 watt. What work will be done by it in 10 sec? ​

Answers

Explanation:

power =work done/time

work=power ×time

work =30000×10

work =300000j

stay safe healthy and happy.

Tyra made the following bar graph shown to represent the relative distances of four different astronomical bodies from Earth.

The title of the bar graph is Distance of Bodies in Space from Earth. Four bars are labeled A, B, C, and D. Bar C is the shortest. Bar D is about three times the size of bar C. Bar A is about six times the size of bar C. Bar B is about eight times the size of bar C.

If D represents Mercury, which of the following could be represented by B and C?

B could be the moon, and C could be Venus.
B could be Venus, and C could be the moon.
B could be the moon, and C could be Jupiter.
B could be Jupiter, and C could be the moon.

Answers

Answer: D

Choice A calls B the moon which is incredibly tiny compared to Venus so this is wrong, choice B calls B Venus which is a relatively small planet and C the moon... that is a bit overkill so no. Choice C says B is the moon and C is Jupiter, Jupiter being the largest planet this is a easy no, leaving D to be the only logical and correct answer.

Explanation: MARK ME BRAINLIEST PLZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer: Answer D. because B. Jupiter is the farthest from Earth from those answer choices and C. is the moon because it is the closest out of those answer choices.

So, the answer is D: B could be Jupiter, and C could be the moon.

Explanation: Please give Brainlist.

Hope this helps!!!!

What is the characteristic of image formed by a convex lens that is placed at the focal length of the lens?

Answers

Answer:

The image will be real, inverted, and enlarged. For convex lenses, when the object is placed inside F, the image will be on the same side of the lens as the object and it will be virtual, upright, and enlarged.Feb

Which of these scenarios describes circular motion?
es )
A)
The moon orbiting the Earth
B)
A cannonball flying from a cannon
C)
A car moving along a straight track
D)
The pendulum of a grandfather clock

Answers

A)

The moon orbiting the Earth

(c) Another spring has a spring constant of 250 N/m.
Calculate the work done in stretching the spring by 0.30 m.
State the unit.
Use the equation
E = 12 x K x x2

Answers

It is E=something which leases another something equaling another something

A student uses 80 joules of energy to lift a backpack in a time of 0.75 seconds. How much power
does the student have?

Answers

Answer:

P = 106.7 W

Explanation:

Given that,

Work done in lifting a backpack, W = 80 J

It is lifted in 0.75 seconds

We need to find the power of the student. The power of an object is defined as work done per unit time. So,

[tex]P=\dfrac{W}{t}[/tex]

Put all the values,

[tex]P=\dfrac{80}{0.75}\\\\P=106.7\ W[/tex]

So, the power of the student is 106.7 W.

In the eastern US, hurricanesusually form over the warm waters of the Caribbean Sea and travel north. When they are over the cold waters of the North Atlantic Ocean, would they become more powerful or less powerful than they were when they were over the warm Caribbean? Explain why.



please answer no files links answer ASAP please

Answers

Answer:

Less powerful

Explanation:

Hurricanes rely on warm water. It sucks heat energy from the water to use for fuel. Warmer water means more moisture, which also mean a bigger and/or stronger hurricane. The North Atlantic is definitely much colder than the Caribbean so the hurricane will not have much fuel.

Have a great day!

a sample contains 110 g of a radioactive isotope. how much radioactive isotope will remain in the sample after 1 half-life?

a. 100g
b. 25 g
c. 75 g
d. 50 g

Answers

Answer:

The half-life of a radioactive isotope is the time such that the initial amount of the isotope is reduced to its half.

Thus, if we start with A grams of a given radioactive isotope, after a 1 half-life, we will have A/2 grams of the radioactive isotope.

In this case, we know that the sample has 110g of a radioactive isotope.

Then, after 1 half-life, we should have half of 110g, which is:

110g/2 = 55g

Then we should have 55 g of a radioactive isotope.

The answer that is closer to this result is option d (50 g), so that is the correct one.

calculate the frequency of a wave using an equation​

Answers

Answer:

1. f=1T. where: f is the frequency of the wave in hertz. T is the period of the wave in seconds.

2. f=vλ where: f is the frequency of the wave in hertz. v is the velocity of the wave in meters per second. λ is the wavelength of the wave in meters

3. f=cλ

Explanation:

Can anyone answer this its a science question NO LINKS!!!

Answers

Answer:

The correct answer is C I took the mastery test

Explanation:

Answer:

d last one

Explanation:

The upper layer of soil consisting of rock particles, water, air, and organic matter is the​

Answers

Answer: Bedrock

Explanation:

Bedrock is the solid layer of rock beneath the soil. Soil is a mixture of rock particles, minerals, decayed organic material, air, and water. The decayed organic material in soil is humus, a dark-colored substance that forms as plant and animal remains decay.

Conservation of Matter states that the reactants have to equal the _______.
A.products B.enablers

2. Products and reactants in a balanced chemical reaction have the same number of _______ of each element.
A.atoms B.molecules

3. If the equation on the board had shown 3 atoms of carbon on the reactants side, how many atoms of carbon would need to be represented on the products side?
A.2 B.3

Answers

Answer:

1. A. Products

2. A. Atoms

3. B. (3)

Explanation:

1. Conservation of Matter states that the reactants have to equal the products.

2. Products and reactants in a balanced chemical reaction have the same number of atoms of each element.

3. Three (3) atoms of carbon would need to be represented.

Number of atoms on the left and on the right side of the balanced chemical reaction is the same, for example: Mg + 2HCl → H₂ + MgCl₂. There are two hydrogen atoms, two chlorine atoms and one magnesium atom on both side of chemical reaction.

Object A and Object B have the same volume of 10 cm³. Object A has a mass of 20 grams. Object B has a mass of 50 grams. Which object will have the greater density and why?​

Answers

Answer:

Object B has greater density

desity A=20/10=2 g cm^-3 . density B=50/10=5 g cm^-3

the object that has greater mass has the greater density because the volume of the those two objects are same

How death rate helps in changing population​

Answers

Both the birth and death rate are expressed per 1000 of the population.

Help please!!


What are the three criteria that determine if a wave is a sound wave?

Answers

Answer:

Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed. The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave

Answer: Sound wave can be described by five characteristics: Wavelength, Amplitude, Time-Period, Frequency and Velocity or Speed.

Explanation:

The minimum distance in which a sound wave repeats itself is called its wavelength. That is it is the length of one complete wave.

A scientist wants to spend her summer conducting research on the effects of very cold temperatures on the human body. Which part of the world would be the best place to conduct her summer research?

Answers

The best place for the scientist to do her research is Alaska

Answer:

Antarctica

Explanation:

ap3x

Part II. True or False 1. Bernoulli's principle is a statement of energy conservation in static fluids. 2. For most solids, the coefficient of volume expansion is proportional to the coefficient of linear expansion. 3. Latent heat of a material does not affect the amount of heat transfer across a slab by conduction. 4. If the net force acting upon a body is zero, the particle is always at rest. 5. A football kicked at an angle 0 with respect to the horizontal means that the acceleration is 9.8m/s2 at all times. 6. Equilibrant force is the combination of all the forces acting on an object. 7. Reflection occurs when there is the presence of medium where light can travel. 8. Diverging Lenses always have negative focal length. 9. The total mechanical energy in the system must always be equal to zero. 10. Electric field is the strongest when it is close to the charged particle creating the field.

Answers

Answer:

True 1, 2,3, 6, 8 and 10

False 4, 5, 7 and 9

Explanation:

In this exercise, several situations will be analyzed, to know if they are true/false

1) True. Bernoulli's equation is the conservation of energy

2) True. The volumetric expansion is approximately 4 times the linear expansion

3) True. Latent heat is the heat used in a phase transformation and does not change the temperature of the body and the conduction is proportional to the change in temperature.

4) False. The particle can be at rest or at constant velocity

5) False. Acceleration depends on the force of the kick

6) True. The sum of force must be zero

7) False. Reflection occurs at the interface between two different media

8) True. Diverging lenses the focal length is negative

9) False. Manganic energy is the sum of the energies, therefore it must be different from zero

10) True. The electric field is inversely propositional to the square of the distance

mechanical energy is two types ??​​​​​​​​​

Answers

Answer:

Yes Kinetic and Potential energy

Yup kenitkick and potatoes wnergy

A(n) _______ studies physical components and characteristics of celestial objects.

The answer is ASTROPHYSICIST!

Answers

Answer:

Astronomers?

Explanation:

Answer:

Astrophysicist?

Explanation:

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