The elevation at the base of a ski hill is 350 m above sea level. A ski lift raises a skier (total mass=72 kg, including equipment) to the top of the hill. If the skier's gravitational potential energy relative to the base of the hill is now 9.2 x 105 J, what is the elevation at the top of the hill?

Answers

Answer 1

The elevation at the top of the hill is 1,653.85 m.

The given parameters;

initial height of the skier, h₁ = 350 mlet the final height of the skier at the hill top, = h₂total mass, m = 72 kggravitational potential energy of the skier, P.E = 9.2 x 10⁵ J

The elevation at the top of the hill is calculated as follows;

[tex]P.E = mg\Delta h\\\\P.E = mg(h_2 -h_1)\\\\h_2 -h_1 = \frac{P.E}{mg} \\\\h_2 = \frac{P.E}{mg} + h_1\\\\h_2 = \frac{9.2 \times 10^5 }{72 \times 9.8} \ + \ 350 \ m\\\\h_2 = 1,653.85 \ m[/tex]

Thus, the elevation at the top of the hill is 1,653.85 m.

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Related Questions

Contrast the behavior of a water wave that travel by a stone barrier to a sound wave that travels through a door
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Explanation:

here the file has everything

73 ml of water is followed by 25 ml of juice. What is the percent strength of juice?

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Total liquid: 73 + 25 = 98 ml

Percent juice = (25/98) x 100 = 25.5 %

Which performs a function that is most like the function of a retina?

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Answer:

The answer is ciliary body and focus the pupil. In addition, the ciliary body is a portion of the eye that contains the ciliary muscle that reins the shape of the lens and the ciliary epithelium that yields the aqueous humor. The ciliary body is a share of the uvea which is the layer of tissue that transports oxygen and nutrients to the eye nerves while the pupil is a hole positioned in the midpoint of the iris of the eye that permits light to foray the retina. It looks black since light rays incoming the pupil are moreover engrossed by the tissues in the eye openly or engrossed after diffuse reflections in the eye that typically miss leaving the fine pupil

Explanation:

Answer:the eye has many parts that must work together in order to produce clear vision

Explanation: correct on my test

Just need the answer

Answers

Answer:

1.  1, 2, 4 all show some form of refraction as the bending of a light ray when passing from one media to another.

Explanation:

Number 4 is the most accurate as it also shows some light being reflected and the bending of the refracted light ray in the correct direction for going from a medium of low refractive index (air) into a higher refractive index material (crown glass)

identify the following prefixes:
1) Di-
2) Tetra-
3) Deca-
4) Hepta-

Answers

Explanation:

Di -. 2

Tetra. -3

deca. -. 10

Hepta. -- 7

It velocity of light scalar or vector equality ​

Answers

Answer:

velocity is a vector quantity

Explanation:

velocity is a vector quantity because it has a mass and a direction

The control center of human body is * 1/1 heart
brain  
liver
  We have ________ sense organs * 1/1
6
4
5    
Which energy we get by burning of fuels * 1/1
Solar
Heat
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  Sources of energy that can be used again and again will never run out * 1/1 Non renewable energy Renewable energy   Running water   What is called structure that build on rivers to get electricity * 1/1 Dam   Check dam Tunnel   Which nutrients protect us from diseases * 1/1 Carbohydrate Vitamin and Mineral   Protein   When is the best time of the day to water your lawn * 1/1 Early morning and late evening   Afternoon Night   Which of these ways to wash the car saves the most water? * 1/1 Wash it in the driveway with the garden hose Drive it into the lake Take it through a car wash that recycles water     Why do we keep food and vegetables in refrigerator? * 1/1​

Answers

The brain: the control center of the body.5. The sense organs — eyes, ears, tongue, skin, and nose — help to protect the body.Key Concept: When fuels are burned, the chemical energy that is released can be used to generate another form of energy, such as heat, light, motion, or electricity. A fuel is a substance that provides energy as a result of a chemical change.However, scientists are continually addressing these challenges, working to improve feasibility and reliability of renewable resources. Renewable resources include biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.Many dams are built for more than one purpose; for example, water in a single reservoir can be used for fishing, to generate hydroelectric power, and to support an irrigation system. Water-control structures of this type are often designated multipurpose dams.Antioxidants — such as vitamins C and E and carotenoids, which include beta-carotene, lycopene and lutein — help protect healthy cells from damage caused by free radicals.Water in the early morning – between 6 a.m. and 10 a.m. Midday watering leads to wasteful evaporation, while nighttime watering causes droplets to cling to grass overnight, increasing the chance of lawn diseases.Use a bucket instead of a continuous water flow from a hose. If you are using a hose, use one which has a spray handle that automatically shuts off the nozzle as you leave it. According to the Department of Environment, Maryland, USA, a 100 gallon car wash reduces to 30 gallons in such an arrangement.We refrigerate food to keep bacteria, yeasts, and molds from the favorable temperature they need to grow. The moisture-control available in many refrigerators also helps slow the deterioration of foods, so that two of the three favorable situations for microorganism growth are eliminated.

How is heat transferred by convection?

Answers

Answer:

Convective heat transfer is the transfer of heat between two bodies by currents of moving gas or fluid. In free convection, air or water moves away from the heated body as the warm air or water rises and is replaced by a cooler parcel of air or water.

Explanation:

Hope this helped and have a great day

Heat can be transferred by convection through liquids. Heat travels where warmer liquid rises and cooler liquid sinks. An example of this can be heating up a pot of water. Hope this helps!

A man walks 30m to the west, then 5m to the East in 45 seconds. What is the total distance walked?

Answers

Answer:

In this problem basically we will use directions to find displacement and distance .

(Keep in mind that displacement is vector while distance is scalar quantity)  

And then we will use displacement and distance to find average velocity and average speed.

Explanation:

To get the dimmest bulbs with two batteries and two bulbs you would connect the batteries in ____ and the bulbs in ____.

Answers

Answer:

batteries in parallel connection and bulbs in serial connection

To get the dimmest bulb with two batteries and two bulbs you would connect the batteries in parallel and the bulbs in series.

What is Parallel and series circuits?

When two-terminal components and electrical networks that can be connected in series or parallel. This will result in two terminals in the electrical network, and may themselves participate in a series or parallel topology. When a two-terminal "object" is an electrical component or electrical network is a matter of perspective.

A circuit is said to be in series when the same current flows through all the components in the circuit where the current has only one path. A circuit is said to be parallel when there are multiple paths for the electric current to flow through it where the components which are part of the parallel circuit will have a constant voltage across all their ends.

Thus, to get the dimmest bulb with two batteries and two bulbs you would connect the batteries in parallel and the bulbs in series.

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1. How far does a train travel in the fourth second if it starts from rest with a uniform
acceleration of 2.0 m/s2?

Answers

Answer:

Explanation:

d = ½(2.0)4² - ½(2.0)3² = 7 m

calculate the speed of longitudinal waves in aluminum (assuming the elastic modulus = 6.89 x 10^4 MPa)

Answers

The expression for the speed of waves in materials allows us to find the result for the speed of sound in aluminum is:

Sound speed is:   v = 5050 m / s

The speed of a wave in a material is determined by the relationship between its volumetric modulus and its density, it is given by the expression.

                                   

               v = [tex]\sqrt{ \frac{B}{\rho} }[/tex]  

where v is the speed of the wave in the material (sound), B is the volume modulus and ρ the density.

They indicate that the volumetric or elastic modulus of aluminum is;

            B = 6.89 10⁴ Mpa ( [tex]\frac{10^6 \ Pa}{1 \ MPa}[/tex] ) = 6.89 10¹⁰ Pa

The density of aluminum is tabulated  ρ = 2.7 10³ kg / m³

We calculate.

              v = [tex]\sqrt{ \frac{6.89 \ 10^{10} }{2.7 \ 10^3 }}[/tex]  

              v = 5.05 10³ m / s

In conclusion using the expression for the speed of waves in materials we can find the result for the speed of sound in aluminum is:

     v = 5050 m / s

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6) The modern atomic model is called the _____.
A) central atom model
B) plum pudding model
C) nuclear atomic model
D) electron growth model

Answers

The modern atomic model is called the nuclear atomic model.

Therefore the correct answer is option C.

What are atomic models?

There are many types of atomic models proposed in past based on their individual assumptions and the experimentations

John Dalton's atomic model.

The Plum Pudding Model, developed by J.J. Thomson,

Rutherford's model provided an explanation for the presence of a nucleus inside the atom.

In accordance with the current atomic model, atoms have a nucleus made up of protons and neutrons and an ethereal gradient or cloud surrounding them that houses electrons;

The modern atomic model is called the nuclear atomic model.

Thus, the correct answer is option C.

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why does air pressure decrease with increasing altitude?

Answers


Answer:
The weight of the air above is smaller

Explanation:

As altitude increases, the amount of gas molecules in the air decreases. The air becomes less dense than air nearer to sea level. This is what people mean by “thin air”. Thin air exerts less pressure than air at a lower altitude.

A magnesium ion has a charge of +2 and an oxygen ion has a charge of –2. What is the chemical formula of the compound made of these ions? (correct answer gets brainliest)

A) Mg2O2
B) MgO
C) MgO2
D) Mg2O

Answers

MgO
the charges cancel out :)

từ độ cao h=2m một vật bắn lên với vận tốc ban đầu V0=10(m/s), hợp với phương ngang 1 góc 30 độ.Hãy xác minh
a. Thời gian chuyển động của vật ?
b. Độ lớn vận tốc tại điểm chạm đất

Answers

Answer:

A IS THE ANSWER

Explanation:

HOPE IT HELPS AND PLEASE MARK AS BRAINLIST

A 1.5 kg cart is attached to a spring with spring constant of 5 N/m. The cart & spring is pulled to stretch the spring by 3 meters.

What is the SPE?​

Answers

22.5 J

Explanation:

Given:

x = 3 m

[tex]k = 5\:\text{N/m}[/tex]

The spring potential energy [tex]PE_s[/tex] is

[tex]PE_s = \frac{1}{2}kx^2 = \frac{1}{2}(5\:\text{N/m})(3\:\text{m})^2[/tex]

[tex]\:\:\:\:\:\:\:=22.5\:\text{J}[/tex]

The figure shows a rear view of a loaded two-wheeled wheelbarrow on a horizontal surface. It has balloon tires and a weight W = 684 N, which is uniformly distributed. The left tire has a contact area with the ground of AL = 6.20 × 10-4 m2, whereas the right tire is underinflated and has a contact area of AR = 9.20 × 10-4 m2. Find (a) the force from the left tire, (b) the pressure from the left tire, (c) the force from the right tire, (d) the pressure from the right tire that each tire applies to the ground.

Answers

Answer:

Explanation:

Summing moments about the CG to zero will show that the two normal forces are equal and have a value of FL = FR = 684/2 = 342 N

Pressure on the left

PL = 342 / 6.20e-4 = 551,612.9032... = 5.5e5 Pa

Pressure on the right

PR = 342 / 9.20e-4 = 371,739.1304... = 3.7e5 Pa

A) The force from the left tire is; FL = 342 N

B) The pressure from the left tire is; PL = 551613 N/m²

C) The force from the right tire is; FR = 342 N

D) The pressure from the right tire is; PR = 371739 N/m²

We see that;

FL and FR are upward forces

W is the downward force.

We know that in equilibrium;

Sum of upward forces = sum of downward forces

Thus;

FL + FR = W

We are given W = 684 N

Since W is at the center, it means that FL = FR. Thus;

FL = FR = 684/2

FL = FR = 342 N

We are given;

Contact area of left tire; AL = 6.2 × 10⁻⁴ m²

Contact area of right tire; AR = 9.2 × 10⁻⁴ m²

Formula for pressure is;

Pressure = Force/Area

Pressure on the left tire;

PL = FL/AL

PL = 342/(6.2 × 10⁻⁴)

PL = 551613 N/m²

Pressure on the t right tire;

PR = FR/AR

PR = 342/(9.2 × 10⁻⁴)

PR = 371739 N/m²

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Students were asked to create roller coasters for marbles. The only requirement is that the roller coaster include at least one hill that the marble must roll over in order for the roller coaster to be considered a success. Students are building their designs with marbles and foam tubing so there will be some air resistance and friction. What should the students keep in mind if they want to create a successful roller coaster?

Question 23 options:

1)


Without an extra push at the bottom of the first hill, there is no way the car will make it back up a hill of any height because the marble doesn't have enough mass or velocity

2)


The hill should be at least a little lower than the starting height because some of the kinetic energy at the bottom of the first hill will be converted to other types of energy due to friction so it will not have as much potential energy at the top of the next hill

3)

The hill should be taller than the starting height because the marble will pick up speed on the downward hill and the increased velocity will allow it to travel higher on the next hill

4)


The hill should be the exact same height as the starting height because 100% of the kinetic energy at the bottom of the first hill will be converted back to potential energy at the top of the next hill

Answers

Since energy is lost in the roller coaster due to friction, the hill should little lower than the starting height since some of the kinetic energy at the bottom of the first hill is lost  due to friction so it will not have as much potential energy at the top of the next hill.

A roller coaster is a good way to demonstrate the principle of conservation  of energy. Recall that energy is neither created nor destroyed but can be converted from one form to another.

In a roller coaster, all the heights are not the same because energy is lost along the line. Therefore, the students must bear in mind that  the hill should be at least a little lower than the starting height because some of the kinetic energy at the bottom of the first hill will be converted to other types of energy due to friction so it will not have as much potential energy at the top of the next hill.

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When 587.9 nm passes through a single slit 0.73 mm wide, it creates a diffraction pattern. (a) What distance away is the wall if the first minimum is 0.86 mm from the central maximum

Answers

From Young's single slit experiment, the distance away from the wall will be 1.068 m

Given that 587.9 nm of wavelength of light passes through a single slit 0.73 mm wide, it creates a diffraction pattern.

From the question, the following parameters are given:

The wavelength of the light λ  =  587.9 nm

The width of the slit a = 0.73 mm

Fringe width X = 0.86 mm

The distance away from the wall D = ?

The fringe width is related to the wavelength  of the light source by the equation:

X = ÷ a

Substitute all the parameters into the formula

0.83 × [tex]10^{-3}[/tex] = 587.9 × [tex]10^{-9}[/tex] D ÷ 0.73 ×

Cross multiply

587.9 × [tex]10^{-9}[/tex] D = 6.278 × [tex]10^{-7}[/tex]

make D the subject of the formula

D = 6.278 × [tex]10^{-7}[/tex] ÷  587.9 × [tex]10^{-9}[/tex]

D = 1.068 m

Therefore, the distance away from the wall is 1.068 m

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If the first minimum is [tex]0.86 mm[/tex] from the central maximum, the distance away is 1.07 meters.

Given the data in the question;

Wavelength; [tex]\lambda = 587.9nm = 5.879*10^{-7}m[/tex]Width of slit; [tex]a = 0.73mm = 0.00073m[/tex] First minimum; [tex]y = 0.86mm = 0.00086m[/tex]Since its first, order number; [tex]m = 1[/tex]Distance;  [tex]L = \ ?[/tex]

From Thomas Young's single slit experiment:

[tex]\frac{a*y}{L} = m * \lambda[/tex]    

Where a is the width of the slit, y is first minimum, L is the distance, m is the order number and λ is the wavelength.

We substitute our values into the equation

[tex]\frac{0.00073m\ *\ 0.00086m}{L} = 1\ *\ ( 5.879*10^{-7}m)\\\\\frac{0.0000006278m^2}{L} = 5.879*10^{-7}m\\\\L = \frac{0.0000006278m^2}{5.879*10^{-7}m} \\\\L = 1.07m[/tex]

Therefore, if the first minimum is [tex]0.86 mm[/tex] from the central maximum, the distance away is 1.07 meters.

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Which item is not a solid-state component?

an integrated circuit
a vacuum tube
a diode
a transistor

Answers

Answer:

a vacuum tube is NOT a solid state component

What is the frequency of a photon that has the same momentum as a neutron moving with a speed of 1000 m/sm/s

Answers

Explanation:

Since the neutron is only moving at 1000 m/s, we are going to ignore the relativistic effects on its mass and energy. The mass of a neutron in [tex]m_n = 1.67×10^{-27}\:\text{kg}[/tex] so its kinetic energy KE is

[tex]KE = \frac{1}{2}m_nv^2[/tex]

[tex]\:\:\:\:\:\:\:\:= \frac{1}{2}(1.67×10^{-27}\:\text{kg})(10^3\:\text{m/s})^2[/tex]

[tex]\:\:\:\:\:\:\:\:= 8.35×10^{-22}\:\text{J}[/tex]

A photon's energy E is defined as

[tex]E = h\nu[/tex]

where [tex]\nu[/tex] is the photon's frequency and h is the Planck's constant. Solving for the frequency, we get

[tex]\nu = \dfrac{E}{h} = \dfrac{8.35×10^{-22}\:\text{J}}{6.63×10^{-34}\:\text{J-s}}[/tex]

[tex]\:\:\:\:\: = 1.26×10^{12}\:\text{Hz}[/tex]

which is right around the infrared radiation range.

Which of the vectors in the graph below is the negative of the vector v
A. a
B. d
C. c
D. b

Answers

Answer:

Option c.

Explanation:

Clothes stick together when you pull them out of the dryer because


clothing is a conductor.


clothing is an inductor.


they are not charged.


of static electricity.

Answers

it is because of static electricity

what is the meaning of word thermodynamics​

Answers

Answer:

physics that deals with the mechanical action or relations of heat.

1.25 is the closest to 1.04 or not I want to answer please. I think it's true, but I want to prove it scientifically, please.

Answers

Answer/Explanation:

It False, because if You Round Both of them..

1.25= 1.30

1.04= 1.00

it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is a lot more than 4 cents.

a stone weight 490 N on a planet whose acceleration due to gravity is half that of the Earth. Calculate (1) the mass of a stone​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Acceleration due to gravity on that planet is half than that of om earth ~

that is ~

[tex] \dfrac{9.8}{2} \: \: m/ {s}^{2} [/tex]

[tex]4.9 \: \: m/s {}^{2} [/tex]

And it's weight is equal to ~

[tex]490 \: \: N[/tex]

now, As we know ~

[tex]f = m \times g[/tex]

here ,

f = Weight = 490 Newtons

m = mass of stone = ?

g = Acceleration due to gravity on that planet = 4.9 m/s²

let find the mass of stone ~

[tex]490 = m \times 4.9[/tex]

[tex]m = \dfrac{490}{4.9} [/tex]

[tex]m = 100 \: \: kg[/tex]

Mass of the stone is 100 kg ~

I hope it helped

Which of the following can cause an object to accelerate?
Select one:
a. Force
b. Inertia
c. Mass
d. Kinetic Energy

Answers

I think force can accelerate

Explanation:

i think force of an object

difference between speed and velocity​

Answers

Answer:

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Explanation:

5 kg block of iron is heated to 800°C. It is placed in the tub containing 2 L of water at 15°C. Assuming all the water is brought to the boil rapidly, calculate the mass of water which boils off. (The specific heat capacity of iron 800°C is 220 J kg-1 K-1)

Answers

Answer:

Heat Loss = 5 kg * 700 deg K * 220 J / (kg*deg K) = 7.70E5 J

Since there are 4.186 J/cal

Heat Loss = 7.70E5J / 4.186 J/cal = 1.84E5 cal

Heat Gain = 2000 g * 85 deg K / cal / (deg K g) + M * 540 cal/g

Heat Gain = 1.70E5 cal + M * 540 cal/g

M = (1.84 - 1.70) E5 g / 540

25.9 g

25.9 g or 25.9 cm^3 or .0259 L   of water will boil away

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