A 87 kg weight-watcher wishes to climb a

mountain to work off the equivalent of a large

piece of chocolate cake rated at 948 (food)

Calories. How high must the person climb? The

acceleration due to gravity is 9. 8 m/s

2

and 1

food Calorie is 103

calories. Answer in units of km

Answers

Answer 1

The weight-watcher must climb: approximately 4.653 km to work off the equivalent of a large piece of chocolate cake rated at 948 food Calories.

To determine how high the person must climb, we'll first convert food Calories to calories, then use the formula for potential energy.

1 food Calorie = 10^3 calories, so 948 food Calories = 948 x 10^3 = 948,000 calories.

Potential energy (PE) is given by the formula: PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

We can rearrange the formula to solve for the height (h): h = PE / (mg)

First, convert calories to joules: 1 calorie = 4.184 joules, so 948,000 calories = 3,968,112 joules.

Now, substitute the values into the formula:

h = 3,968,112 J / (87 kg x 9.8 m/s^2) = 3,968,112 / 852.6 ≈ 4653.24 meters

To convert meters to kilometers, divide by 1000:

4653.24 m / 1000 = 4.65324 km

So, the weight-watcher must climb approximately 4.653 km to work off the equivalent of a large piece of chocolate cake rated at 948 food Calories.

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Related Questions

What is the concentration of the acute leukemia cc95 combination value in micromolar (μm) units?

Answers

The concentration of the acute leukemia cc95 combination value in micromolar (μm) units is  6 × 10-4 μM.

Acute lymphocytic leukemia (ALL) is also called acute lymphoblastic leukemia. “Acute” means that the leukemia can progress quickly, and if not treated, would probably be fatal within a few months. "Lymphocytic" means it develops from early (immature) forms of lymphocytes, a type of white blood cell.

A rapidly progressing cancer that starts in blood-forming tissue such as the bone marrow, and causes large numbers of white blood cells to be produced and enter the blood stream.

In acute leukemia, the abnormal blood cells are immature blood cells (blasts). They can't carry out their normal functions, and they multiply rapidly, so the disease worsens quickly. Acute leukemia requires aggressive, timely treatment.

This corresponds to 0.6 × 10^-9 M × (1 μM/1 × 10^-6 M) = 0.6 × 10^-3 μM = 6 × 10-4 μM.

Acute myeloid leukemia (AML) is caused by a DNA mutation in the stem cells in your bone marrow that produce red blood cells, platelets and infection-fighting white blood cells. The mutation causes the stem cells to produce many more white blood cells than are needed.

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the first s-wave reaches a seismic station 22 minutes after an earthquake occurred. how long did it take the first p-wave to reach the same seismic station?

Answers

The time taken for the first p-wave to reach the same seismic station is approximately 13 minutes.

Time of travel of the P-wave

In rock, S waves generally travel about 60% the speed of P waves, and the S wave always arrives after the P wave.

Relationship between speed and time

v ∝ 1/t

v₁t₁ = v₂t₂

t₁/t₂ = v₂/v₁

t₁/t₂ = 0.6v₁/v₁

t₁/t₂ =  0.6

t₁ = 0.6t₂

t₁ = 0.6 x 22 mins

t₁ = 13.2 mins

Thus, the time taken for the first p-wave to reach the same seismic station is approximately 13 minutes.

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Two electrons are separated by a distance of 5 x 10^-5m. The charge of each electron is -1.602 x 10^-19C. Assume the Coulomb’s constant is 8.99 x 10^9N . m^2/C^2

!!Correct answer will get 20 points!!

Answers

Answer:

Explanation:

Given:

r = 5·10⁻⁵ m

q₁ = q₂ = | 1.602·10⁻¹⁹ | C - electron charge modulus

k = 8.99·10⁹  m² / C₂  -   the Coulomb’s constant

_______________

F - ? - electron repulsion force

According to Coulomb's law:

F = k·q² / r²

F = 8.99·10⁹·(1.602·10⁻¹⁹)² / (5·10⁻⁵)² ≈ 9,23·10⁻²⁰  N

Find the weight of the same object on a planet where gravitational attraction has beduced to 1/10 of the earths pull

Answers

The weight of the same object on a planet where gravitational attraction is mg /10.

Force = mg

On Earth weight = force = mg where g = acceleration of gravity

But according to your question

On a planet with gravity 1/10 of the earth is

Weight = force = mg /10.

On the Moon, gravity pulls less on objects so they weigh less. For example, a rock that weighs 1 pound weighs less on Earth than it does on the Moon. Weight is the result of the law of universal gravitation. Any two objects are attracted to each other by their masses with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The mass remains the same and the weight decreases on the moon. When flying to the moon the gravitational acceleration is less than the gravitational acceleration. That's about one-sixth of the acceleration due to gravity. If gravity is halved, atmospheric pressure is halved. This equates to climbing above 5,000 meters. This means that all humans will struggle to breathe enough oxygen, more than they can live on forever.

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Express the angular velocity of the second hand on a clock in the following units: rev/hr deg/min. omega = deg/min

Answers

To express the angular velocity in deg/min, we need to convert the revolutions per minute to degrees per minute. One revolution is equivalent to 360 degrees, so the second hand moves at a rate of 360 degrees per minute. Therefore, the angular velocity in deg/min would be 360 deg/min.

The angular velocity of the second hand on a clock can be expressed in two different units: revolutions per hour (rev/hr) and degrees per minute (deg/min).
To calculate the angular velocity in rev/hr, we need to know the number of revolutions made by the second hand in one hour. Since the second hand completes one full revolution every 60 seconds, it will complete 60*60 = 3600 revolutions in one hour. Therefore, the angular velocity in rev/hr would be 3600 rev/hr.
In summary, the angular velocity of the second hand on a clock can be expressed as 3600 rev/hr or 360 deg/min. This information is useful for understanding how quickly the second hand is rotating and can be used in calculations involving the motion of the clock's hands.

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what is the symbol end unit for electric charge ​

Answers

Answer:

The SI unit of electric charge is the coulomb and is represented by the symbol C.

\( \large\sf \leadsto\pmb{ Symbol \: Unit \: For \: Electric \: Charge}\)

\( \sf \blue {The \: SI \: unit \: of \: electric \: charge \: is \: coulomb \: which \: is \: also \: represented \: as \: C!}\)

how much power is required to carry a 120 N golden retriever up 8 meters of stairs in 30 seconds?

Answers

Answer:

Below

Explanation:

Work = F x d  = 120 N * 8 m = 960 Joules

Power = work / time = 960 J / 30 s = 32 watts

Important Formulas:

\(w=Fd\)

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

\(p=\dfrac{w}{t}\)

power(measured in watts) = work(measured in joules) / time(measured in seconds)

__________________________________________________________

Given:

\(F=120N\)

\(d=8m\)

\(t=30s\)

\(p=?\)

__________________________________________________________

Finding work:

\(w=Fd\)

\(w=120\times8\)

\(w=960J\)

__________________________________________________________

Finding power:

\(p=\dfrac{w}{t}\)

\(p=\dfrac{960}{30}\)

__________________________________________________________

Answer:

\(\fbox{p = 32 Watts}\)

Brandon buys a new Seadoo He goes 12 km north from the beach . He jumps wakes for 6 km to the east . What distance cover ? What was his displacement ?

Answers

Answer:

distance- I think it is 6 then the displacement is 13.41

Explanation:

When there are two light sources then there will be two shadows. Given below is a case where there are two light sources but one of the light sources is brighter than the other. Can you tell which shadow will be darker? Give explanation.

Answers

neither, a shadow cant be darker unless your closer to the surface your pointing the light at.

A dog starts from rest to chase after a ball. If the dog reaches a maximum speed of 5.4 m/s in 8.2 seconds, what is the acceleration of the dog?

Answers

Answer:

0.66 m/s²

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 0

Final velocity (v) = 5.4 m/s

Time (t) = 8.2 secs

Acceleration (a) =....?

The acceleration of the dog can be obtained as follow:

v = u + at

5.4 = 0 + a × 8.2

5.4 = 8.2a

Divide both side 8.2

a = 5.4/8.2

a = 0.66 m/s²

Therefore, the acceleration of the dog is 0.66 m/s².

A cricket stump has a sharp point at one end use the words force area or pressure

Answers

Answer:

using the pressure of stump

Answer: Using the pressure of a stump

What is the potential difference across a 15- mm -long, 2.0- mmmm -diameter copper wire carrying an 7.4 AA current

Answers

The potential difference across a 15-mm-long, 2.0-mm-diameter copper wire carrying a 7.4 A current is approximately 0.17 V.

Given data: Length of the copper wire, l = 15 mm = 0.015 m Diameter of the copper wire, d = 2.0 mm = 0.002 m Current flowing in the copper wire, I = 7.4 A Potential difference across the copper wire can be calculated by using the formula;

V = (π / 4) × d² × ρ × I / l

Where, V = Potential difference across the copper wireρ = Resistivity of the copper wire. To find the potential difference across a 15-mm-long, 2.0-mm-diameter copper wire carrying a 7.4 A current, we need to calculate the resistivity of copper. Resistivity is a physical quantity that describes how strongly a material opposes the flow of electric current. The symbol for resistivity is the Greek letter rho (ρ). The resistivity of copper is 1.7 x 10⁻⁸ Ωm.

Now we will substitute the given values and calculate the potential difference across the copper wire: V = (π / 4) × d² × ρ × I / l V = (π / 4) × (0.002 m)² × (1.7 x 10⁻⁸ Ωm) × (7.4 A) / (0.015 m)V ≈ 0.17 V Therefore, the potential difference across a 15-mm-long, 2.0-mm-diameter copper wire carrying a 7.4 A current is approximately 0.17 V.

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what insterment would you use to measure the force on the black

Answers

Answer:

A pair of scales

Explanation:

The ground state energy of a harmonic oscillator is 3. 5ev. What is the energy separation between adjacent quantum states?

Answers

The energy separation between adjacent quantum states is equal to the energy of the harmonic oscillator, which is 3.5 eV. Thus, the energy difference between adjacent states is 3.5 eV.

The energy separation between adjacent quantum states of a harmonic oscillator (or any quantum system) is called energy spacing. This energy spacing is equal to the difference between the energy of the higher energy state and the energy of the lower energy state.

This can be calculated using the formula En=(n+1/2)hw. For the ground state (n=0), the energy is En=hw/2. Since hw=3.5 eV, En=3.5 eV/2=1.75 eV. Thus, the energy difference between adjacent states is 3.5 eV.

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if a body is moving with constant linear positive acceleration
a) It moves with constant velocity
b) It remains at rest.
c) It decreases its velocity at constant rate.
d) It increases its velocity.​

Answers

Answer:

D

Explanation:

It says constant positive linear acceleration, which means that the velocity increases at a constant rate.

What is the momentum of an 8-kg bowling ball rolling at 2 m/s? Make sure to
include units.

Plz help ASAP

Answers

Answer:

The answer is 16 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 8 × 2

We have the final answer as

16 kg.m/s

Hope this helps you

A force of 900 N pushes a wedge 0.10 m into a log. If the work done on the log is 50 J, what is the efficiency of the wedge?
HELPPPP

Answers

Answer:

55.56%

Explanation:

We'll begin by calculating the work done in pushing the wedge. This can be obtained as follow:

Force (F) = 900 N

Distance (s) = 0.1 m

Workdone (Wd) =..?

Wd = F × s

Wd = 900 × 0.1

Wd = 90 J

Finally, we shall determine the efficiency. This can be obtained as follow:

Work output = 50 J

Work input = 90 J

Efficiency =?

Efficiency = work output / work input

Efficiency = 50 / 90 × 100

Efficiency = 55.56%

Thus, the efficiency is 55.56%


If copper (II) carbonate CuCO3 is always 5.3 parts copper to 4 parts oxygen to 1 part carbon. Why doesn't this match the formula? Why isn't the formula Cu53CO4?

Answers

The formula remains \(CuCO_{3}\) since atoms must combine in simple whole number ratios.

What is the formula?

We know that according to the Dalton atomic theory, when atoms, combine, they do so in simple whole number ratios. Thus the combination of the atoms can not be fractional. This is the first thing that we must have in mind as we discuss this given issue.

Even if we have 5.3 parts copper to 4 parts oxygen to 1 part carbon, we have to ensure that a whole number ratio is maintained in the formula of the compound thus the formula remains \(CuCO_{3}\).

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Question 5 of 10
What happens when a loop of wire turns between two permanent magnets in
a generator?
A. A current flows through the loop of wire.
O B. Electrical energy transforms into mechanical energy.
O C. A current flows through the permanent magnets.
D. Mechanical energy transforms into electromagnetic radiation.

Answers

Answer:

B. Electrical energy transforms into mechanical energy.

Explanation:

In the case when the wire loop transforms between the two permanent magnets in a generator so here the electrical energy turns to mechanical energy as there is a working principle behind the generator that the electrical energy would turns into mechanical energy

Therefore as per the given scenario, the option b is correct

And, the rest of the options are wrong

Jaipal measures a circuit at 1. 2 A and 24. Using Ohm’s law, what can he calculate for the circuit? current (C) current (I) voltage (V) voltage (A).

Answers

Jaipal can calculate for the voltage (V) in the circuit

Ohm's laws states as follow:

V = IR

Where:

V is the voltage (unit V)

I is the current (unit A)

R. Is the resistance (unit ohm)

From the question given above, we were given the following:

Current (I) = 1.2 A

Resistance (R) = 24 ohms

Voltage (V) =?

From the above we can see that the voltage is missing.

Thus, using ohm's law, Jaipal can calculate for the voltage (V) in the circuit

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Jaipal can calculate the Voltage in the circuit from the current and resistance he measured.

The given parameters:

current measured in the circuit, I = 1.2 Aresistance of the circuit, R = 24 ohms

According to Ohms law, the voltage across a conductor is directly proportional to the current flowing the conductor.

V = IR

where;

V is voltage in the circuit

V = 1.2 x 24

V = 28.8 V

Thus, Jaipal can calculate the Voltage in the circuit from the current and resistance he measured.

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when you blow across the top of a soda bottle it acts like a closed pipe. if it creates a fundamental frequency of 680 Hz, how deep is the bottle? (Speed of sound = 343 m/s) (Unit = m)

Answers

Answer:

0.125

Explanation:

acellus

what is a circumpolar star? what is a circumpolar star? a star that appears to make a full circle around us each day a star that rises in the east and sets in the west a star that appears to circle from the north celestial pole to the south celestial pole a star that always remains above your horizon a star that is visible from the north or south pole

Answers

Circumpolar stars, such as those in the Big and Little Dippers in the northern hemisphere, are stars that completely circle a celestial pole. They don't set; they just hang out in the night sky.

The stars known as circumpolar stars never set below the horizon. (The horizon is the line that marks the boundary between the sky and the ground.) While circumpolar stars appear to revolve around the South Star or Sigma Octantis in the Southern Hemisphere, the North Star or Polaris, in the Northern Hemisphere. A circumpolar star is one that appears to be close to one of the celestial poles and never sets below the horizon when seen from a particular latitude on Earth. The celestial equator is not far from these stars.Their name derives from the celestial pole around which they revolve. The northern celestial pole star in the northern hemisphere is Polaris. These stars can be found close to the celestial pole.

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Two 10.-ohm resistors have an equivalent resistance of 5.0 ohms when connected in an electric circuit with a source of potential difference. Using circuit symbols found below, draw a diagram of this
circuit.

Two 10.-ohm resistors have an equivalent resistance of 5.0 ohms when connected in an electric circuit

Answers

The resistors are connected in parallel between the terminals of a battery.

Note: If those resistors are connected in parallel, then their equivalent resistance is already 5 ohms, even if they're still in the drawer or in a box on the shelf. They don't have to be connected to a source of voltage for that to happen.

please answer asignment due today

Answers

Answer:

Give me some time okkkk

Describe the three methods of thermal energy transfer and provide a sketch that depicts each:
Conduction:
Convection:
Radiation:

Answers

Answer:

a)the process by which heat or electricity is directly transmitted through the material of a substance when there is a difference of temperature

b)the movement caused within a fluid by the tendency of hotter and therefore less dense material to rise, and colder, denser material to sink under the influence of gravity, which consequently results in transfer of heat

c)radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium.

a bomb sitting at rest on a table explodes into four pieces of equal mass. the first piece travels to the south at a velocity of 55.0 m/s. the second piece travels to the west at a velocity of 80.0 m/s. the third piece travels at a velocity of 40.0 m/s [30.0 w of n]. what is the velocity of the fourth piece?

Answers

The velocity of the fourth piece after the explosion is 118.5 m/s at 14.7⁰ east of north.

Conservation of linear momentum

The principle of conservation of linear momentum states that the sum of the initial momentum is equal to sum of final momentum.

Initial momentum of the bomb before explosion is equal to the final momentum of pieces of bomb after explosion.

Pi = Pf

0 = P₁ + P₂ + P₃ + P₄

0 = mv₁ + mv₂ + mv₃ + mv₄

0 = v₁ + v₂ + v₃ + v₄

Resolve the velocity into x and y components

Consider x-y plane for the velocity of the piece of bomb;

Let southward = negative directionLet northward = positive directionLet eastward = positive directionLet westward = negative direction

\(0 = (v_1x + v_1y) + (v_2x + v_2_y) + (v_3x + v_3_y) + (v_4_x + v_4_y)\\\\0 = (0 - 50y) + (-80x + 0) + (-40cos30x + 40sin30y) + (v_4_x + v_4_y)\\\\0 = -50y -80x - 34.64x + 20y + v_4_x + v_4_y\\\\0 = -30y - 114.64x + v_4_x + v_4_y \\\\v_4_x + v_4_y = 114.64x + 30y\\\\|v_4| = \sqrt{114.64^2 + 30^2} \\\\|v_4| = 118.5 \ m/s\\\\tan(\theta ) = \frac{30}{114.64} \\\\tan(\theta) = 0.262\\\\\theta = tan^{-1} (0.262)\\\\\theta= 14.7 \ ^0\)

Thus, the velocity of the fourth piece is 118.5 m/s at 14.7⁰ east of north.

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when observing a binary counter circuit on the oscilloscope, why is it advisable to trigger off the lowest (counter) counter frequency signal?

Answers

The most comprehensive variety of oscilloscope software for applications-specific debugging, compliance, and debugging is provided by Keysight.

Which Oscilloscope Probe Do You Need?For oscilloscopes from the Infinitives and Infinium Series, Keysight offers a wide selection of voltage, current, and optical probing solutions. For information on the best probe for your testing requirements, consult this page.Your Keysight oscilloscope and the software are fully compatible, and the program gives you the knowledge you need to rapidly and efficiently innovate your greatest designs. Learn how automated software testing may help you produce, test, and validate your designs more quickly. You can also use the more than 50 compliance test software packages to keep up with the current requirements.Guide to Selecting Oscilloscope Probes : Making precise measurements depends on being aware of typical probing errors. In your system, probes can cause jitter, noise, and loading. Your measurement results are significantly impacted by the electrical behavior of your probes, which may even affect how well your device works. This eBook will teach you how to steer clear of typical oscilloscope probing hazards.

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Energy in inductors: you need an inductor that will store 20 j of energy when a 3. 0-a current flows through it. what should be its self-inductance?

Answers

The self inductance can be calculated as 4.444 Henry.

The inductor will store energy = 20 joule,

current = 3 ampere.

What is Self inductance?

     The current carrying conductor which allows or opposes the change of flow of current is known as self-inductance. The rate of change of current can also be given through self inductance.

Formula can be given  for the energy in the inductor as,

                      E = 1 / 2 × L × I² joule.

where as,    E - Energy

                    L - Inductance

                    I - Current flowing through the coil.

The equation can be rearranged as,

                      L =  2 E/ I²

                         =  2 × 20 / 3²

                         =  40 / 9

Hence,           L =  4.4444 Henry

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Which is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA?​

Answers

Answer:

Space Launch System (SLS)

Explanation:

Space Launch System (SLS) is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA.

-TheUnknownScientist 72

Select the incorrect comment(s) about the phospholipid bilayer Phospholipids can move from one layer to another in a membrane when the temperature changes in the cell. Fatty acid chains are sequestered to the center of the bilayer. Phospholipids orient themselves in such a way that a layer of the fatty acid chains associate with the aqueous cytosol. The phosphate region of a phospholipid is much more likely to form hydrogen bonds than the fatty acid tail region. Most phospholipids in a membrane have two fatty acid tails but some have three. The polar phospholipid head of a lipid attaches to the fatty acid tail of adjacent lipids in a membrane.

Answers

Most phospholipids in a membrane have two fatty acid tails but some have three. In reality, all phospholipids in the membrane have two fatty acid tails, which are hydrophobic and nonpolar, and a polar phosphate head, which is hydrophilic.

The incorrect comment about the phospholipid bilayer is Most phospholipids in a membrane have two fatty acid tails but some have three.

This unique structure of phospholipids allows them to spontaneously arrange themselves in a bilayer with the hydrophilic heads facing the aqueous cytosol and the hydrophobic tails oriented toward the center of the membrane. This arrangement provides a stable barrier that separates the intracellular environment from the extracellular environment, while allowing for the selective transport of molecules across the membrane. As for the other comments in the list, they are all correct. Phospholipids can move laterally from one layer to another in the membrane when the temperature changes, which affects the fluidity of the membrane. The fatty acid chains are indeed sequestered to the center of the bilayer, and the phosphate region of a phospholipid is more likely to form hydrogen bonds than the fatty acid tail region.

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