If the hiker starts climbing at an elevation of 350 ft, what will their change in gravitational potential energy be, in joules, once they reach the top

Answers

Answer 1

Answer:

352,088.37888Joules

Explanation:

Complete question;

A hiker of mass 53 kg is going to climb a mountain with elevation 2,574 ft.

A) If the hiker starts climbing at an elevation of 350 ft., what will their change in gravitational potential energy be, in joules, once they reach the top? (Assume the zero of gravitational potential is at sea level)

Chane in potential energy is expressed as;

ΔGPH = mgΔH

m is the mass of the hiker

g is the acceleration due to gravity;

ΔH is the change in height

Given

m = 53kg

g = 9.8m/s²

ΔH = 2574-350 = 2224ft

since 1ft = 0.3048m

2224ft = (2224*0.3048)m = 677.8752m

Required

Gravitational potential energy

Substitute the values into the formula;

ΔGPH = mgΔH

ΔGPH = 53(9.8)(677.8752)

ΔGPH = 352,088.37888Joules

Hence the gravitational potential energy is 352,088.37888Joules

Answer 2

The change in gravitational potential energy be, once the hiker reach the top of the mountain is 352088 joules or 352.1 kJ.

What is gravitational potential energy?

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational force and (h) is the height of the body.

The mass of the hiker is 53 kg and the height of the climb is 2574 ft.

Now, the hiker starts climbing at an elevation of 350 ft. Thus, the net height of the hiker has to climb is,

[tex]h=2574-350\\h=2224\rm\; ft[/tex]

Convert this into the meter by multiplying 03048 as,

[tex]h=2224\times0.3048\\h=677.8752\rm\; m[/tex]

It is known that the value of g is 9.8 m/s². Plug in all the values as,

[tex]U=53\times9.8\times677.8752\\U=352088J\\U=352.1 \;\rm kJ[/tex]

Thus, the change in gravitational potential energy be, once the hiker reach the top of the mountain is 352088 joules or 352.1 kJ.

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Related Questions

Now write a short paragraph comparing "fast" to "speeding up quickly" and "slow" to "speeding up slowly".

Answers

Answer:ok yes

Explanation:yes of course

Why would a baseball traveling at 20 m/s have more kinetic energy than a baseball traveling at 5 m/s?

Answers

Answer:

because formula of kinetic energy is K=1/2mv^2 that means more the velocity then more kinetic energy

5. A man has a weight of 100 Newtons. How much work is done if he climbs 4 meters up a ladder? Plug numbers under the equation. Solve and circle your answer. Include the proper units.

Answers

Answer:

400 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 100 × 4

We have the final answer as

400 J

Hope this helps you

Each mass in the figure is 3 kg. Find the magnitude and direction of the net gravitational force on mass A due to the other masses.


A. 2.45 × 10–7 N toward B
B. 3.75 × 10–7 N toward C
C. 2.00 × 10–7 N toward D
D. 1.15 × 10–7 N toward D

Answers

Answer:

THE ANSER IS B

Explanation:

The magnitude and direction of the net gravitational force on mass A due to the other masses is 1.15 × 10⁻⁷ N toward D.

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In this case, all of the masses are equal to 3 kg, and the distance between mass A and mass D is 3 m.

The gravitational force between mass A and mass D is therefore:

F = G * m_A * m_D / r²

= 6.674 × 10⁻¹¹ N m² / kg² * 3 kg * 3 kg / 3 m²

= 1.15 × 10⁻⁷ N

The direction of the gravitational force is towards mass D.

Therefore, the net gravitational force on mass A due to the other masses is 1.15 × 10⁻⁷ N toward D.

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the pilot of a new stealth helicopter which has a mass of 15000 kg and was traveling 180 m / s accelerated to 250 m / s in six seconds to make sure he could rescue those in need how much force was used to accelerate the helicopter and what was the helicopters final momentum ​

Answers

Answer:

pf = 3750000 kg.m/s

F = 175000 N

Explanation:

Constant Acceleration

An object moves with constant acceleration if its velocity changes uniformly in time.

If we call vo to the initial speed, vf the final speed, and t the time, then the acceleration is calculated as:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The new stealth helicopter was traveling at vo=180m/s and changed to vf=250 m/s in t=6 seconds, thus the acceleration was:

[tex]\displaystyle a=\frac{250-180}{6}[/tex]

[tex]a=11.67~m/s^2[/tex]

Please note this number is shown rounded to the nearest hundredth, but it was stored in the calculator's memory with full precision. This fact affects the next calculation as will be noted below.

The acceleration must be produced for some net force that can be calculated by:

F = m.a

Where m=15000 Kg is the mass of the helicopter. Thus:

F = 15000 * 11.67

F = 175000 N

The above product would lead to the inaccurate result of 175050 if the acceleration would have not used with its full representation in the calculator's memory.

The momentum of an object of mass m and velocity v is:

p = m. v

The final momentum of the helicopter is:

pf = m.vf = 15000*250 m/s

pf = 3750000 kg.m/s

Note: When performing calculations over intermediate results, it's important to keep them as accurate as possible to preserve the accuracy of the final result.

A film of soapy water ( n= 1.33 ) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?

Answers

Answer:

620nm

Explanation:

The most strongly reflected color will be "Orange".

According to the question,

Refractive index, n = 1.33Thickness, t = 233 nm

As we know,

→ [tex]t = \frac{\lambda}{2n}[/tex]

or,

→ [tex]\lambda = 2tn[/tex]

By putting the values, we get

      [tex]= 2\times 233\times 10^{-9}\times 1.33[/tex]

      [tex]= 620 \ nm[/tex]

Thus the above response is correct.

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Can you make predictions about what will happen in a crash when
you know the object's momentuo?
LAB SCIENCE

Answers

After the crash the momentum before the crash is equal to the momentum after the crash

What is the approximate efficiency of the engine?
A heat engine has a temperature of 1800 K. Some of the
heat from the engine flows to the surroundings, which
are at a temperature of 160 K.
0 16%
O 91%
O 103%
O 109%

Answers

Answer:91% I think

Explanation:

The typical engine efficiency for a modern petrol combustion engine is from 20 to 30 percent. The remaining 70 to 80 percent of the heat energy of the petrol is released from the engine as friction loss, mechanical sound energy, or exhaust heat. Thus, option B is correct.

What approximate efficiency of the engine?

An engine's efficiency is measured by the heat produced divided by the amount of useful work done. Is the task complete. Is the task finished. Please be aware that the phrase “work done” refers to the force applied to the clutch or driveshaft.

Utilizing the following formula, efficiency may be represented as a ratio: output input. Output, often called work output, is the entire quantity of productive work completed, excluding waste and spoilage.

You may determine the efficiency by figuring out what proportion of the energy input results in the desired output: Efficiency is defined as Energy Out/Energy In 100%.

Therefore, This implies that the work produced by thermodynamic expansion is reduced by the friction and other losses.

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A bag of groceries has a weight of 44 Newton’s. Find it’s mass in kilograms

Answers

Answer:

It's mass would be 4.486768kg..

From the 1780s to the late 1800s, people thought the amount of land and resources in the West was limited

Answers

Answer:true

Explanation:

I need the answer asap thank you !!!

Answers

Answer:

whats the question??????

Which describes an interaction in which organisms work together so that all organisms in the group benefit? cooperation parasitism commensalism competition

Answers

Answer:

Cooperation

Explanation:

Cooperation: Both organisms benefit in the relationship.

Parasitism: One organism benefits and the other is harmed in this relationship.

Commensalism: One organism benefits, while the other neither benefits of is harmed.

Competition: Organisms compete for resources.

The option that describes an interaction in which organisms work together so that all organisms in the group benefit is known as Cooperation.

What is Species interaction?

Species interaction may be defined as a type of process through which the population of one species interacts with the population of other species that significantly lives in the same locality. This process either benefits or harm the population.

The categories of species interaction are as follows:

Cooperation: It is a type of +,+ interaction where both organisms benefit in the relationship. This is also known as mutualism. Parasitism: It is a type of +,- interaction where one organism benefits and the other is harmed. Commensalism: It is a type of +,0 interaction where one organism benefits, while the other neither benefits nor is harmed.Competition: It is a type of -,- interaction where both organisms are harmed and compete for the same resources.

Therefore, the option that describes an interaction in which organisms work together so that all organisms in the group benefit is known as Cooperation.

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When Danny Diver who weighs 500 N steps off a diving board 10 m above the water, he hits the water with kinetic energy of

Answers

Answer:

5000 J

Explanation:

Given that,

Weight of Danny Diver, F = 500 N

He steps off a diving board 10 m above the water

We need to find the kinetic energy of the water with which it hits. Let its is K. It is given by :

E = mgh

Where g is acceleration due to gravity

[tex]E=500\ N\times 10\ m\\\\=5000\ J[/tex]

So, he hits the water with kinetic energy of 5000 J.

A small apple weighs 0.8N. How much would an apple that is 4 times as massive weigh?

Answers

Answer:

W=31.99 N

Explanation:

W= 8 N (N= kg*m/ s^2)

W= m* g

8 N= m * 9.8 m/s^2

m= 0.816 kg

m*4= (0.816)4

= 3.264 kg

W= mg

= (3.264 kg)(9.8 m/s^2)

W=31.99 N

A loop of radius r = 3.0 cm is placed parallel to the xy-plane in a uniform magnetic fieldB= 0.75 Tˆk. The resistance of the loop is 18 Ω. Starting at t = 0, the magnitude of thefield decreases uniformly to zero in 0.15 seconds. What is the magnitude of the electric currentproduced in the loop during that time?

Answers

This question is incomplete, the complete question is;

A loop of radius r = 3.0 cm is placed parallel to the xy-plane in a uniform magnetic field B = 0.75 Tˆk.

The resistance of the loop is 18 Ω. Starting at t = 0, the magnitude of the field decreases uniformly to zero in 0.15 seconds.

What is the magnitude of the electric current produced in the loop during that time?

Answer

a 2.1 mA

b 0.79 mA

c 1.7 mA

d 0.20 mA

e 3.9 mA

Answer: option (b) 0.79 mA is the correct answer

Explanation:

Given that;

radius r = 3 cm = 0.03 m

Magnetic field B = 0.75

Resistance R = 18

time t = 0.15s

Area A = πr² = π(0.03)² = 0.002827 m²

we know that

Induced EMF ∈ = -BA / T

and ∈ is also = IR

so, IR = -BA/t

I = -BA / Rt

we substitute our values into the equation

I = [- (-0.75 × 0.002827)] / [18 × 0.15]

= 0.002120 / 2.7

= 0.0007851 A ≈ 0.00079 A ≈ 0.79 mA ( milliamperes )

Therefore option (b) 0.79 mA is the correct answer

Freida wants to model the way atoms move when a substance changes its state. To do this, Freida makes a pyramid of marshmallows. Then, she knocked down the pyramid causing the marshmallows to fall. If the marshmallows represent the atoms in the substance, which change of state is Freida modeling?

Answers

Answer:melting 2020 edge

Explanation:

:)

Answer:

Melting

Explanation:

What is the ratio of the radii of curvature for a proton and an an electron traveling through this apparatus

Answers

Answer:

hello your question is incomplete below is the missing part of the question

Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.55 T.

answer :   ≈ 42

Explanation:

Ratio of the Radii of curvature for a proton and an electron travelling through this apparatus

= [tex]\frac{Rp}{Re}[/tex] = 0.025 m / 5.94 * 10^-4 m = 42.08

Rp = 0.025 m ( calculated )

Re = 5.94 * 10^-4 ( calculated )

it is rate for any motion to

a. stay the same for very long
b. change quickly
c. increase in velocity
d. decrease in speed

Answers

Answer:

a. stay the same for very long

Explanation:

It is rare for any motion to stay the same for a very long time. The force applied on a body causes changes in the magnitude of motion.

For motion to remain constant, there must not be a net force acting on the body All the forces on the body must be balanced. This is very hard to come by. Motion changes very frequently.

A dog walks 24 steps north and then walks 55 steps west to bury a bone. If the dog walks back to the starting point in a straight line, how many steps will the dog take and in which direction will the dog walk? On paper, use the graphical method to find the magnitude of the net displacement.

Answers

Answer:

The dog should walk 60 steps to the southeast to return to its starting point.

Explanation:

To solve the present mathematical problem, we must use the Pythagorean theorem. This establishes that in right triangles the sum of their squared legs is equal to the hypotenuse squared, that is:

A ^ 2 + B ^ 2 = X ^ 2

Thus, in the case, the calculation would be the following:

24 ^ 2 + 55 ^ 2 = X ^ 2

576 + 3,025 = X ^ 2

√3,601 = X

60 = X

Therefore, the dog should walk 60 steps to the southeast to return to its starting point.


A 56 kg woman climbs the stairs to a height of 5 m. Determine: a) what mechanical work
she performed; b) what work the woman will do when climbing the stairs and carrying a 5 kg load.

Answers

Answer:

a) W = 2746.8[J]

b) W = 2992.05 [J]

Explanation:

Work is defined as the product of force by distance. We must bear in mind that the force that performs the work is the one that acts in the same direction of displacement.

For this case, we must calculate the weight of the woman, the weight is defined as the product of mass by gravity.

[tex]w=m*g\\[/tex]

where:

w = weight [N] (units of Newtons]

m = mass = 56 [kg]

g = gravity acceleration = 9.81 [m/s²]

[tex]w=56*9.81\\w=549.36[N][/tex]

a)

[tex]W=F*d[/tex]

where:

F = weight = 549.36[N]

d = distance = 5 [m]

[tex]W = 549.36*5\\W = 2746.8[J][/tex]

b)

The new mass will be the combination of the mass of the woman plus that of the load.

[tex]m_{new} = 56+5\\m_{new}=61[kg][/tex]

[tex]w_{new}=61*9.81\\w_{new}=598.41[N][/tex]

The new work done.

[tex]W =598.41*5\\W=2992.05[J][/tex]

A toy rocket is launched straight up by using a spring. The rocket is initially pressed down on the spring so that the spring is compressed by 9 cm. If the spring constant is 830 N/m and the mass of the rocket is 50 g, how high will the rocket fly?

Answers

Answer:

6.86 meters

Explanation:

Let the compression of the string be represented by x, and the height of projection of the toy rocket be represented by h.

So that;

x = 9 cm = 0.09 m

In its rest position (i.e before the launch), the spring has a stored potential energy which is given as;

PE = [tex]\frac{1}{2}[/tex] K[tex]x^{2}[/tex]

    = [tex]\frac{1}{2}[/tex] x 830 x [tex](0.09)^{2}[/tex]

    = 415 x 0.0081

    = 3.3615

The potential energy in the string = 3.36 Joules

Also,

PE = mgh

where: m is the mass, g is the gravitational force and h the height.

m = 50 g = 0.05 kg, g = 9.8 m[tex]s^{-2}[/tex]

Thus,

PE = 0.05 x 9.8 x h

3.3615 = 0.05 x 9.8 x h

3.3615 = 0.49h

⇒ h = [tex]\frac{3.3615}{0.49}[/tex]

      = 6.8602

The height of the toy rocket would be 6.86 meters.

One particle has mass m and a second particle has mass 2m. The second particle is moving with speed v and the first with speed 2v. How do their kinetic energies compare?

Answers

Answer:

Explanation:

The formula for kinetic energy to be used here is 1/2mv².

If the first particle is "particle a" and the second particle is "particle n"; there kinetic energies (K.E) will be

K.Eₐ = 1/2.m2v² = mv²

K.Eₙ = 1/2.2mv² = mv²

From the above, it can be said that there kinetic energies are the same.

NOTE that the m and v used in the question means mass and velocity respectively.

I'm not quite sure how the formula works. I thought it was
55*6*9.81 = N
Weight * acceleration * gravity = N
My answer was wrong. Could anyone help me understand this question, please?

"When landing after a spectacular somersault, a 55.0 kg gymnast decelerates by pushing straight down on the mat. Calculate the force (in N) she must exert if her deceleration is 6.00 times the acceleration of gravity."

Answers

Answer:

See the explanation below.

Explanation:

Of course yes, after my explanation you will understand very well how to analyze this type of problems.

First, we must differentiate the weight of the mass, the mass has units of kilograms or pounds, while the weight is the product of the mass by gravitational acceleration. In this way, we have the following formula for the weight of anybody.

w = m*g

where:

w = weight [N] (units of Newtons]

m = mass [kg]

g = gravity acceleration = 9.81 [m/s²]

When we have the product of these units [kg]*[m/s²], We are always going to get as a result the units of Newtons [N], The Newton is a unit of force.

Now, to solve this problem we must use Newton's second law, which tells us that the sum of forces on a body must be equal to the product of mass by acceleration.

ΣF = m*a

where:

ΣF  = forces acting over the gymnast [N]

m = mass = 55 [kg]

a = desacceleration = 6*9.81 = 58.86 [m/²]

Now we have two forces acting over the gymnast the first one is his or her weight (the mass by the gravity acceleration) and the second force is the one made it by his or her legs upwards in order to be standing. Let's take as positive signs the movements and forces upwards and negative downwards

- (m*g) + Fl = m*a

where:

Fl = force made it by the legs [N]

As the deceleration is upward because it prevents the person from continuing to go down, it is taken as a positive sign.

- (55*9.81) + Fl = (55*58.86)

Fl =  (55*58.86) + (55*9.81)

Fl = 3776.85 [N]

I hope you can understand :)

A Young's double-slit experiment is performed using light that has a wavelength of 631 nm. The separation between the slits is 5.25E-5 m. Calculate the angle that locates the first-order bright fringes on the screen.

Answers

Answer:

 θ = 1.21  10⁻² rad

Explanation:

The double slit experiment is described for constructive interference

           d sin θ = m λ

where d is the separation between the slits, λ the wavelength used, m a stereo that represents the order of interference

The first order of interference corresponds to m = 1 and the separation of the slits is d = 5.2 10⁻⁵ m

        sin θ = m λ / d

        θ = sin⁻¹ (m λ / d)

     

let's calculate

          θ = sin⁻¹ (1 631 10⁻⁹ / 5.2 10⁻⁵)

          θ = 1.21  10⁻² rad

in the one pulley system when you move the Mass from The 20-centimeter Mark to the 15 centimeter mark it moves to my 5cm how far did you pull the string?

5 cm
10cm
15cm
20cm​

Answers

Answer:

5 cm

Explanation:

Remember that in the pulley system the rope moves the same distance in both ends of the pulley, what the pulley system does is creating a mechanical advantage which basically means that it takes less effort to pull than the actual effort it would take, so for example if you have to lift a box that is 800 N, with a pulley system and the mechanical advantage you'd have to pull with less force.


How should the student change the circuit to give negative values for current and
potential difference?

Answers

Answer:

Reversing the polarity of the battery reverses the polarity in the circuit.

Explanation:

In a DC circuit, the polarity of the potential difference and the current is determined by the polarity of the battery or the power source.

Reversing the polarity of the battery reverses the polarity in the circuit.

In the case of current, the direction of the movement of the electrons is reversed and in the case of the potential difference, this is measured with respect to a minimum fly in general taken as zero.

How much energy is transported across a 1.25 cm2 area per hour by an EM wave whose E field has an rms strength of 38.5 mV/m

Answers

Answer:

The energy transported per hour is 4.92 x 10⁻¹⁰ J.

Explanation:

Given;

root mean square strength of the field, [tex]E_{rms}[/tex] = 38.5 mV/m

area per hour, A = 1.25 cm²/hr = 1.25 x 10⁻⁴ m²/hr

The peak strength of the field is given by;

E₀ = [tex]E_{rms}[/tex]√2

E₀ = (38.5 mV)√2

E₀ = 54.45 mV

the average intensity is given by;

[tex]I_{avg} = \frac{c\epsilon E_o^2}{2}\\\\ I_{avg} = \frac{(3*10^8)(8.85*10^{-12})(54.45*10^{-3})^2}{2}\\\\I_{avg} = 3.936*10^{-6} \ W/m^2[/tex]

Energy transported per hour is given by;

[tex]E = \frac{P}{t} = \frac{I*A}{t} = (\frac{A}{t})(I)\\\\E = (1.25*10^{-4} \ \frac{m^2}{hr} )(3.936*10^{-6} \ \frac{W}{m^2} )\\\\E = 4.92*10^{-10} \ J[/tex]

Therefore, the energy transported per hour is 4.92 x 10⁻¹⁰ J.

The earth rotates every 86,160 seconds. What is the tangential speed (in m/s) at Livermore (Latitude 37.6819° measured up from equator, Longitude 121.

Answers

Answer:

The tangential speed at Livermore is approximately 284.001 meters per second.

Explanation:

Let suppose that the Earth rotates at constant speed, the tangential speed ([tex]v[/tex]), measured in meters per second, at Livermore (37.6819º N, 121º W) is determined by the following expression:

[tex]v = \left(\frac{2\pi}{\Delta t}\right)\cdot R \cdot \sin \phi[/tex] (1)

Where:

[tex]\Delta t[/tex] - Rotation time, measured in seconds.

[tex]R[/tex] - Radius of the Earth, measured in meters.

[tex]\phi[/tex] - Latitude of the city above the Equator, measured in sexagesimal degrees.

If we know that [tex]\Delta t = 86160\,s[/tex], [tex]R = 6.371\times 10^{6}\,m[/tex] and [tex]\phi = 37.6819^{\circ}[/tex], then the tangential speed at Livermore is:

[tex]v = \left(\frac{2\pi}{86160\,s} \right)\cdot (6.371\times 10^{6}\,m)\cdot \sin 37.6819^{\circ}[/tex]

[tex]v\approx 284.001\,\frac{m}{s}[/tex]

The tangential speed at Livermore is approximately 284.001 meters per second.

A local AM radio station broadcasts at a frequency of 627 kHz. Calculate the wavelength at which it is broadcasting. Wavelength

Answers

Answer:

Wavelength = 478.46 m

Explanation:

It is given that,

A local AM radio station broadcasts at a frequency of 627 kHz, f = 627000 Hz

We need to find the wavelength at which it is broadcasting. The wavelength is given by :

[tex]\lambda=\dfrac{c}{f}\\\\=\dfrac{3\times 10^8}{627\times 10^3}\\\\=478.46\ m[/tex]

So, the wavelength is 478.46 m.

will mark brainliest
On a weather map, what does the symbol shown below represent?

A circle is shown with a vertical diameter drawn. The top right quadrant is shaded.
Cloud cover
Flurries
Snow
Wind speed

Answers

The blue line with triangles are a cold front. The red line with half circles are a warm front. The black H is high pressure. The black L is low pressure. The black dot is overcast skies. Finally the white circle with a line down and 4 lines off of that line is 40-knot wind

idk and dont understand

Answer:

Wind speed.

Explanation:

I took the test and I promise this is right.

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