A shipping crate to be transported by cargo ship is raised 26 m above the dock. If its GPE
is 266,375 J, what is the crate's mass?

Answers

Answer 1

Answer:

Approximately [tex]1.0\times 10^{3}\; \rm kg[/tex] (assuming that [tex]g = 9.8\; \rm m \cdot s^{-2}[/tex].)

Explanation:

Consider an object of mass [tex]m[/tex] and (relative) height [tex]h[/tex].

The gravitational potential energy (GPE) of this object would be [tex]{\rm GPE} = m \cdot g \cdot h[/tex] (where [tex]g[/tex] denotes the gravitational field strength. Typically,[tex]g = 9.8\; \rm N \cdot kg^{-1}[/tex] near the surface of the earth.)

For the shipping crate in this question:

[tex]{\rm GPE} = 266,\!375\; \rm J[/tex], [tex]g = 9.8\; \rm N \cdot kg^{-1}[/tex] (near the surface of the earth,) and[tex]h = 26\; \rm m[/tex].

Rearrange the equation [tex]{\rm GPE} = m \cdot g \cdot h[/tex] to find an equation for [tex]m[/tex]:

[tex]\begin{aligned}m &= \frac{{\rm GPE}}{g \cdot h} \\ &= \frac{266,\!375\; \rm J}{9.8\; \rm N \cdot kg^{-1} \times 26\; \rm m}\\ &= \frac{266,\!375\; \rm N \cdot m}{9.8\; \rm N \cdot kg^{-1} \times 26\; \rm m} \\ &\approx 1.0\times 10^{3}\; \rm kg\end{aligned}[/tex].

Hence, the mass of this shipping crate is approximately [tex]1.0\times 10^{3}\; \rm kg[/tex].


Related Questions

The direction of the electric field is in the direction that a
_______ test charge would be pushed or pulled if placed in the space surrounding the source charge.

Answers

Answer:

The correct answer is Positive

Explanation:

Put the word POSITIVE

When a ball is thrown in the air, the potential energy gained must come from the kinetic energy given by the person throwing the ball. As the ball gains potential energy, its speed will.

A; increase

B; decrease

C; remain the same

D; double

Answers

i believe it is C. remain the same. If i am wrong i sincerely apologize.
Answer C :remain the same

What type of reaction is shown in the following chemical equation: 2H20 - 2H2 + O2?
a

о Oc
Od
single-displacement
decomposition
double-displacement
synthesis

Answers

Answer:

This is a Synthesis Reaction I believe.

Answer:

the reaction is a synthesis reaction

A cuboid made of spruce wood has the edge lengths a = 20 cm, b = 25 cm and c = 30 cm. It is to be pressed completely under the water surface and then held in the water.
a) Calculate the volume V of the cuboid!
b) With what force F must the cuboid be held in the water? (Density of spruce wood: p F = 500 kg/m³: Density of water: p w = 1000 kg/m³: g=9.81 N/ kg.)

Answers

Answer:

a) The volume of the cuboid is 0.015 m³

b) The force that must be applied for the cuboid to be held in the water is 141.15 N

Explanation:

The given parameters of the cuboid made of spruce wood are;

The edge lengths dimensions of the cuboid are, a = 20 cm, b = 25 cm, c = 30 cm

The location of the cuboid = Pressed completely under water;

The density of spruce wood, ρF = 500 kg/m³

The density of water, ρw = 1,000 kg/m³

The acceleration due to gravity, g ≈ 9.81 N/kg

a) The volume of a cuboid = Length × Breadth × Height

Taking , a = The length of the cuboid, b = The breadth of the cuboid, and c = The height of the cuboid, we have;

The volume of the cuboid, V = a × b × c = 20 cm × 25 cm × 30 cm = 15,000 cm³

The volume of the cuboid, V = 15,000 cm³  = 0.015 m³

b) The force 'F' that must be applied for the cuboid to be held in the water is given by the up thrust on the cuboid by the water

∴ F = The up thrust on the cuboid by the water = The weight of the water displaced

The weight of the water displaced, Ww = mw × g = ρw × Vwater × g

Where;

mw = The mass of the water = ρw × Vwater

Vwater = The volume of the water displaced = The volume of the cuboid = V

∴ Vwater = V = 0.015 m³

∴ Ww =  1,000 kg/m³ × 0.015 m³ × 9.81 N/kg = 147.15 N

The force that must be applied, F = Ww = 147.15 N

The force that must be applied for the cuboid to be held in the water = 141.15 N.

what is the difference between atoms and particals? Help ​

Answers

An atom is the smallest unit of matter that forms a chemical element. An atom is made up of three kinds of subatomic particles: electrons, protons, and neutrons.A molecule is a combination of atoms bonded together through a covalent bond. Generally, we think of molecules as having no charge (although molecular ions do exist)

A current of 27 flows through a filament lamp when potential difference of Vis applied across How many electrons will move through the lamp in a time of 1 hour?

Answers

Answer:

6.075×10²³ Electrons

Explanation:

From the question,

Q = it............................. Equation 1

Where Q = quantity of charge, i = current, t = time.

Given: i = 27 A, t = 1 hours = 1×60×60 = 3600 seconds.

Substitute these values into equation 1

Q = 27×3600

Q = 97200 C.

If, one electron = 1.6×10⁻¹⁹ C,

Therefore, n electron = 97200×1/1.6×10⁻¹⁹ C.

n = 6.075×10²³ Electrons

Galaxies are made of millions of stars, interstellar gas, and dust that stay relatively close together due to magnetic attraction.

True or False?
if its false please explain why

Answers

Answer:

True

Explanation:

Its true

The statement "Galaxies are made of millions of stars, interstellar gas, and dust that stay relatively close together due to magnetic attraction." is false.

What is Gravitation?

Gravitation, also known as gravity, is a fundamental force of nature that attracts objects with mass or energy toward each other. It is the force that keeps planets in orbit around stars, stars in orbit around the centers of their galaxies, and all objects on the surface of the Earth.

According to Newton's law of gravitation, every mass in the universe attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the larger the masses of the objects and the closer they are to each other, the greater the gravitational force between them.

In this question,

Galaxies are made up of millions, or even billions, of stars along with interstellar gas and dust. However, the gravitational force, not magnetic attraction, is what holds the stars and other components of a galaxy together. The gravitational attraction between the stars and other matter in the galaxy is what allows them to orbit around the center of mass of the galaxy. In fact, the vast majority of matter in a galaxy is dark matter, which is an invisible and unknown form of matter that interacts gravitationally with other matter in the galaxy.

While magnetic fields do exist in galaxies, they are generally much weaker than gravitational forces and play a secondary role in the structure and dynamics of galaxies.

To learn more about Newton's law of universal gravitation click:

https://brainly.com/question/858421

#SPJ3

0.000236 kg has how many
significant figures?

Answers

Answer:

6

Explanation:

everything after the decimal is counted

Plzzzz help the question that are selected in the picture r not correct PLZZ help PLZZ give the answer I will mark u the brainliesst

Answers

Answer:

D for the first one and A for the second.

Explanation:

Hurricanes are usually caused by warmer waters.

Wind is created due to the movement of air because of the temperatures.

Resulting from past and current geoscience processes, Earth's mineral, energy, and groundwater resources are unevenly distributed. As humans continue to remove these limited and often non-renewable resources, their distributions significantly change. This map shows some of the world's major tectonic plate boundaries. Volcanic and hydrothermal activity occur as a result of the energy released along these boundaries, creating an ideal environment for the concentration of minerals. Which statement provides another rationale for higher mineral concentrations near plate boundaries compared other parts of the world? A) The speed of mineral formation is increased by the high levels of groundwater found at plate boundaries. B) Sediment from erosion usually deposits near plate boundaries, and volcanic activity causes it to form minerals. C) Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move. D) The magnetic pull of Earth's mantle is strongest at plate boundaries, pulling minerals in Earth's crust toward them.

Answers

Answer:

C

Explanation:

Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move

Statement provide another rationale for higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

What is mineral?

A mineral is an inorganic element or compound that occurs in nature and has a recognizable chemical composition, crystal structure, and physical characteristics. Quartz, feldspar, mica, amphibole, olivine, and calcite are examples of common minerals.

A body of undifferentiated mineral materials or an amalgamation of one or more minerals is referred to as a rock. Granite, basalt, limestone, and sandstone are typical rocks.

The higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

To learn more about mineral refer to the link:

brainly.com/question/18078524

 #SPJ2

1) Radiation from the sun can be deflected or contained by
(a) wearing dark colored clothes
(b) wearing light colored clothes
(c) wearing no clothes
(d) wearing blue jeans
The subject is science: Heat Energy

Answers

Answer:

b

Explanation:

light colors deflect ligjt

what’s the answer ???

Answers

Answer:

i cant even see it

Explanation:

HELP FAST What is voltage, and what is its relationship to amperage and power?
(10 points)

Answers

Answer:

Amperage is the rate of electrical charge per time.

1 amp = 1 coulomb / second

Power is the product of amperage and voltage.

P = IV

Explanation:

Which component should be connected in fire alarm circuit? A) thermistor B) LDR C) diode D) transformer

Answers

Answer:

bakit po pano po mag comment sa post not bat di po ako makacomment how po

Explanation:

how

A. Thermistor: Thermistors are used as temperature sensors. They can be found in every day appliances such as fire alarms

a horizontal string is stretched between two points a Distance 0.80 metre apart the tension in the string is 90 Newtonand it is mass is 4.5 g calculate the wavelength and frequency of the three lowest frequency modes of vibration of the string​

Answers

Answer:

a)  v = 126.5 m / s,  b)   λ₁ = 1.6 m,   λ₂ = 0.8 m, λ₃ = 0.533 m,   f1 = 79 Hz,    

λ₂ = 0.8 m,   f₃ = 237 Hz

Explanation:

This is an exercise we are going to solve in parts, let's start by looking for the speed of the wave in the string.

         v = [tex]\sqrt { \frac{T}{ \mu } }[/tex]

the rope tension is T = 90 N and the density can be calculated

         μ = m / l

let's calculate

         μ = 4.5 10⁻³ / 0.80

         μ = 5.625 10⁻³  kg/m

let's calculate the speed

         v = [tex]\sqrt{ \frac{90 }{5.625 \ 10^{-3}} }[/tex]

         v = 126.5 m / s

For the second part there is a process of resonance in the string. The points where it is attached are nodes so, if L is the length of the chord

         L = ½ λ         1st harmonic

         L = 2/2 λ      2nd harmonic

         L = 3/2 λ      3rd harmonic

         L = n/2 λ      n harmonic

the wavelength of the first three harmonics is requested

           

let's calculate

          λ₁ = 2L

          λ₁ = 2 0.8

          λ₁ = 1.6 m

         

          λ₂ = L

          λ₂ = 0.8 m

          λ₃ = ⅔ L

          λ₃ = ⅔ 0.8

          λ₃ = 0.533 m

To calculate the frequency we use that the speed is related to the wavelength and the frequency

           v = lam f

           f = v / lam

we calculate

           f1 = 126.5 / 1.6

           f1 = 79 Hz

           f2 = 126.5 / 0.8

           f2 = 158 Hz

           f3 = 126.5 / 0.533

           f3 = 237 Hz

What made ancient Rome special?

Answers

Answer:

Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.

Explanation:

How does convection current helps cooling the system of engines

Answers

As the engine heats up, a natural circulation starts, as coolant rises through the engine block by convection. It passes through the top hose, and into the radiator. Inside the radiator, heat is removed from the coolant as it falls from the top to the bottom.
Hope this helps!

A box moves 1000 m horizontally as a force F 2000 N is applied downward. What is the work done on the box by F during the displacement?​

Answers

Answer:

D. OJ

Explanation:

Which of the following best describes how the ocean convection cycle impacts different climates?
A by creating different sea levels
B by adding moisture to the atmosphere
by transferring heat from the tropics to the colder climates
by transferring plankton and other sea organisms from cold regions to warm regions

Answers

Answer:

Its C

Explanation:

I looked it up and it said that it tranfers heat to the land.

Convert 75kg to joules

Answers

1kg= 9,8 J so If you want to convert 75kg in joules you will get 735 Joules.

Major help plz I need help

Answers

The answer is D. The action-reaction forces

Explanation:

yup, it's D following Newton's third law of motion

If you and your friend do the same amount of work, but you do it FASTER than they do, YOU are more powerful than they are.

True
False

Answers

Answer:

answer should be false

Answer this please.no work needed

Answers

Answer:

very powerful

Explanation:

im not sure how to answer dis but i hope dis helps u

charge is moving in a magnetic field that points to the left. What direction can the charge move and experience no magnetic force? Check all that apply

Answers

Answer:

The answer is "left"

Explanation:

The electric charge was its material property when it has fewer ions in its atoms than protons. There would be a negative charge of electrons as well as a positive electrode for such protons. Although Material contains more electrons than protons, if Material contains fewer electrons than protons, it is positively charged.  An electrical charge is a loading motion, so it forms a current if the loads will move from an insulator, that's why the above given choice is correct.

Answer:

up, left, and into the screen.

Explanation:

3) A 6.1 kg bowling bowl and a 7.2 kg bowling ball rest on a rack. If the force of gravity pulling each
bowling ball toward the other is 3.1 X 10° N, what is the separation between the balls?

Answers

The distance of separation of the balls is 3.07×10⁻⁵ m.

To Solve the question, we use the formula below.

Formula:

F = GMm/r²...................... Equation 1

Where:

F = Force of gravityG = Universal constantM = mass of the bigger bowling ballm = mass of the smaller bowling ballr = Distance of separation between the balls.

Make r the subject of the equation,

r = √(GMm/F)................. Equation 2

From the question,

Given:

F = 3.1 NM = 7.2 kgm = 6.1 kgG = Constant = 6.67×10⁻¹¹ Nm²/kg².

Substitute these values into equation 2

r = √(7.2×6.1×6.67×10⁻¹¹/3.1)r = √(9.45×10⁻¹⁰)r = 3.07×10⁻⁵ m

Hence, the distance of separation of the balls is 3.07×10⁻⁵ m.

Learn more about gravitation force here: https://brainly.com/question/2537310

"I could feel his anguish" what could be the anguish​

Answers

Answer:

yeah

Explanation:

the answer is right.

Calculate the heat gained by 125.0 g of water when it is put into a calorimeter and its
temperature is increased by 10.0°C. The specific heat of water is 4.184 J/(g°C).

Answers

Answer:

I don't know I'm sorry I will tell you another answer asks me

What is the force of friction caused by a block with a weight of 150N being pushed across a floor with a coefficient of friction equal to 0.5?

Answers

Answer:

75 N

Explanation:

F = μF = 0.5(150) = 75N

please can someone please help me with this!!
i’ll give 15 points!!

Answers

Answer:

Explanation:

Time is a major factor in how much force is being applied.  so when there are crumple zones. they crumple and that takes a little longer in an impact and hence lowers the forces considerably   :)   safety first  

Help ASAP I’ll give u branliest!! This isn’t really hard

Answers

Answer:

I'm pretty sure it's mist, drizzle, droplet, and then rain.

mist, drizzle, droplet, rain
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