6. Borax was mined in Death Valley, California, during the nineteenth century. It
was transported from the valley by massive wagons, each pulled by a team of
21 mules. Suppose each mule's power output was 746 W (about 1 hp). If in a
certain time interval the total work done by the team on the wagon was
2.35x 10' J, how long was that interval of time?

The required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest is 12.92N

[tex]\alpha = \frac{{{\omega _{\rm{f}}} - {\omega _{\rm{i}}}}}{t}[/tex]

=0.005

[tex]{I_{{\rm{total}}}} = {I_{{\rm{cylinder}}}} + {I_{{\rm{rockets}}}}[/tex]

[tex]{I_{{\rm{rockets}}}} = 4{m_r}{r^2}[/tex]=43470 kg.m²

[tex]\tau = {I_{{\rm{total}}}}\alpha[/tex]=217.3 m

[tex]{\tau _{\rm{i}}} = \frac{\tau }{4}[/tex]=54.3 N.m

[tex]{F_{\rm{i}}} = \frac{{{\tau _{\rm{i}}}}}{r}[/tex]=12.92N

The moment of inertia of the body depends on the distribution of mass along its axis and when the rockets are placed with the uniform cylinder, the moment of inertia gets added up to the moment of inertia of the uniform cylinder.The equations of motion for the rotating body determine the angular acceleration, which is dependent upon the initial and final angular velocity and the time taken by the body to reach the final state from its initial position.The total moment of inertia of the rotating body depends upon both the mass of the cylinder and the rockets.The total torque applied to the rotting body is due to the moment of force done by the four rockets, and the same torque is balanced to formulate equations to derive the force exerted by each rocket.

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The initial mass of the rocket will be 526.2 kg

As we know,

Final speed = 105 m/s

Time = 18.0 s

Exhaust initial speed = 1200 m/s

Mass of burned fuel = 150 kg

We need to calculate the initial mass Which would be 526.2 kg.

What do you mean by Initial and final mass?

The mass of an object at the starting point is known as initial mass while the mass which remains at the last is called Final mass. The Initial Mass Function (IMF) is usually expressed as a power law,

IMF = constant × m −α.

Hence, in the above case we have found the initial mass from the given formula.

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we will see absorption line spectrum in this case.

We see Absorption lines usually as dark lines, or lines of reduced intensity, on a continuous spectrum. In this example when the light emitted by a hot filament or hot metal bar is made to pass through a low density gas, and the emergent light is then analyzed in a spectrometer, then we can see the absorption spectrum.

Dark line comes When electrons go from one energy level to another, the difference in those energy level is a specific value, and not a range of values. they will absorb the photons if they are transitioning upwards towards a higher energy,  corresponding to the wavelength of light which has the specific amount of energy they need to ascend.

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The angular acceleration of the pencil when it makes an angle of 10.0 degrees with the vertical is 2.553 rad/s² of every meter length of the pencil.

If the pencil is in the position 10.0 degrees with the vertical, the weight of the pencil in the middle of the pencil will go down. Look at the triangle, x is the distance to calculate the torque.

Newton's second law of rotation
∑τ = Iα

wx = Iα

[tex]w \frac{1}{2} L \: sin \: 10^o = \frac{1}{3} m L^2 \alpha[/tex]

[tex]mg \frac{1}{2} \: sin \: 10^o = \frac{1}{3} mL \alpha[/tex]

[tex]g \frac{1}{2} \: sin \: 10^o = \frac{1}{3} L \alpha[/tex]

[tex]\alpha = \frac{g \frac{1}{2} \: sin \: 10^o}{\frac{1}{3} L}[/tex]

[tex]\alpha = \frac{3 g \: sin \: 10^o}{2L}[/tex]

[tex]\alpha = \frac{3 \times 9.8 \times 0.1736}{2L}[/tex]

[tex]\alpha = \frac{2.553}{L}[/tex]

Because the length of pencil unknown

α = 2.553 rad/s² of every meter length of the pencil.

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Answer:

A. the Moon's shadow crosses Earth's surface.

Explanation:

When the Moon orbits Earth, the Moon moves between the Sun and Earth. When this happens, the Moon blocks the light of the Sun from reaching Earth. This causes an eclipse of the Sun or a solar eclipse. During a solar eclipse, the Moon casts a shadow onto Earth.

Answer:

a) Moon’s shadow crosses Earth’s surface.

Explanation:

A solar eclipse happens when the Moon’s shadow crosses Earth’s surface. Hence, the option (a) is correct answer.

Sum of 1,000,000 uranium atom's diameters in centimeters written in standard notation would be 0.0035 cm.



Adding a number 1,000,000 times is same as Multiplying that number with 1,0000,000. So multiplying the diameter of one atom with 1,000,000 would give the same result as adding the number 1,000,000 times would give.

Diameter = 3.5 × [tex]10^{-8}[/tex]

                 = 3.5 ×[tex]10^{-8}[/tex] × [tex]10^{6}[/tex]

                 = 3.5 × [tex]10^{-8+6}[/tex]  =  3.5 × [tex]10^{-2}[/tex]

  answer  ≈ 0.0035 cm.

What is uranium -

Chemical element uranium has the atomic number 92 and the letter U. It is an actinide metal in the periodic table's silvery-gray series. Because all uranium isotopes are unstable and their half-lives are short, uranium has a low radioactivity.

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The higher gas density forms stars more efficiently, so all the gas is converted into stars before a disk can form.

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The axis of rotation of the pencil passes through point B.

Draw the free-body diagram of the pencil which touches the surface at point B. The normal force from the surface acts on the pencil at point B. The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, which is at point C. There is a friction force that opposes the motion of the pencil on the surface.

Since the pencil touches the surface at point B, the weight of the pencil produces torque and makes the pencil rotate about point B, and this is the point through which the axis of rotation for the pencil passes.

The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, that is, at point C. Since, the pencil touches the surface at point B, the force due to the weight of the pencil produces torque and makes the pencil rotate about point B.

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The velocity of the bullet is  1100 m/s.

When the bullet lodges into the block, as there is no net external force, the momentum of the system will be conserved. After that when the block + bullet system compresses the spring, the energy of the system remains conserved. The kinetic energy is conserved into the potential energy of the spring.

Velocity is the directional speed of an object in movement as an illustration of its price of the trade-in position as found from a particular frame of reference and as measured through a specific standard of time.

Calculation:-

Mass of block, M = 4 Kg

Mass of bullet, m = 8 g = 0.008 Kg

Compression in spring, x = 8.7cm = 0.087 m

Let's first solve the energy conservation,

K.E. = P.E.

(1/2)(M+m)V2 = (1/2)kx2

V2 = 2400*(0.087)2/(4+0.008)

V2 = 4.53

V = 2.13 m/s

Now, conserving the momentum,

mv = (M+m)*V

v = (4+0.008)*2.13/0.008

The velocity of the bullet, v = 1066.6 m/s

Rounding to the velocity as 1100 m/s

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Option d) phrasing that overloads working memory, potential problems with question-wording have been identified by cognitive psychologists.

Cognitive psychology is the look at mental procedures, along with memory, attention, belief, and language processing, and the way they affect human behavior. Cognitive psychologists expand strategies to assist folks that are experiencing difficulties with one or more of those processes.

Cognitive psychologists normally earn either a Ph. D as a doctor of Philosophy or a Psy. D as a medical doctor of Psychology in cognitive psychology. Similar to psychology coursework, they need education in studies techniques, statistics, neuroscience, and cognitive mastering.

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The remaining distance that would result from multiplying the speed by the time t will be added to the 20 miles that make up the total distance. The domain's response would be 0 t 2.

The distance or amount of between two objects, points, etc. The condition or fact of being far from another in space; distance. a straight line in space It would take too long to walk seven miles in one hour. A wide body of water encircled the ship.

A segment's or a room's dimensions are examples of things that can be measured in terms of length. Distance is the separation between two things, like two cities and two points.

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The frequency of microwave is 9.4 ×10⁹ Hz when it has wavelength of 0.032m.

The distance between two identical points (adjacent crests) in adjacent cycles of a waveform signal as it moves through space or along a wire is known as its wavelength. In wireless systems, this length is commonly specified in meters (m), centimeters (cm), or millimetres (mm).

The relationship between wavelength and frequency is inverse, as shown by the equation.

c=λ⋅v

where,

λ - the wavelength of the wave

v - the frequency of the wave

c - the speed of light in a vacuum, approximately equal to 3⋅10⁸ms⁻¹

This demonstrates that low frequency waves have long wavelengths while high frequency waves have small wavelengths.

Since the wave's wavelength is relatively long, a high frequency is to be anticipated. Fill in your values in the aforementioned equation to find v.

c = λv

∴ v = c/λ

v = 3.10⁸ms⁻¹/ 0.032m

v = 9.4 ×10⁹ s⁻¹

v = 9.4 ×10⁹ Hz

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The depth is 3.96 m. The depth of a lake or pond is the distance from something's top to its bottom or to a point farther below the surface of anything.

Real Depth refers to an object's actual depth below the surface, as determined by submerging a perfect ruler alongside it. The depth of an object in a denser medium as seen from a rarer medium is known as the apparent depth in that medium. Its value is smaller than the real depth. Apparent depth is the perception of depth in a picture formed by a combination of the range of wavelengths visible to the human eye and the physical qualities of light.

AV= A1V1+ A2V2

= 8.2*3.4*2.3+ 6.8*3.28*2.6

=3.96 m.

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Answer:

Apollo achieved the first crewed lunar landing on the Apollo 11 mission, when Neil Armstrong and Buzz Aldrin landed their LM Eagle in the Sea of Tranquility and walked on the lunar surface, while Michael Collins remained in lunar orbit in the CSM Columbia, and all three landed safely on Earth on July 24, 1969.

Explanation:

because i looked up online

50 N is the total force exerting on the object.

What's the equation for force? Newton's second law of motion defines the force formula as follows: A force is equal to an object's mass times its acceleration, or F = m a. You must use SI units when applying this formula, which calls for Newton's for force, kilograms for mass, and meters per second squared for acceleration.

The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to that body's mass m times its center of mass's acceleration a, or F = ma.

Net force = F1 + F2 ( Because F2 force is also right )

Net force = 20N +30N = 50N

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Answer:

Measure the CM from the left end of the canoe

M x = (45 * 1 + 2.5 * 60)      M = 105

x = (45 + 150) / 105 = 1.86 m         from left end

After she walks 3 m the CM is from the left end

M y = (45 * 4 + 60 * 2.5)

y = (45 * 4 + 60 * 2.5) / 105 = 3.14 m

The left end of the canoe has moved 1.28 m to left

(The CM cannot move without an external force)

Check:

She increases the CM by 45 (3 - 1.28) = 77.4

Canoe movement decreases the CM by 60 * 1.28 = 76.8

1.28 is close

42.58 kg is the mass of an object if it takes a net force of 1,022 N to accelerate at a rate of 24 m/s2

F=ma

F= force=  1,022 N

m= mass=?

a=acceleration=24 m/s2

F=ma

a=F/m

a= 1,022 N/24 m/s2

a=42.58 kg

In physics, mass is used to express inertia, a property common to all matter. In essence, it is the resistance of a mass of matter to changing its course or speed in response to the application of a force.

The more mass a body has, the less of a change an applied force makes. Using Planck's constant, the kilogram, the ISU's unit of mass, is equivalent to 6.62607015 1034 joule seconds (SI). One kilogram is multiplied by one square meter per second to yield one joule.

Since the second and the meter have already been defined in terms of other physical constants, the kilogram is determined by precise measurements of Planck's constant.

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A cheetah with a mass of 60 kg and a force of 480 N accelerates at a rate of 8 m/s2.

The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. The force applied divided by the mass of the item yields the acceleration of a moving body. the following:

Mass Force (N) Acceleration (m/s2) (kg)

In response to your inquiry, a cheetah weighs 60 kg and exerts 480 N of force.

Acceleration = 480 x 60

Acceleration equals 8m/s2.

Therefore, the cheetah's acceleration for a mass of 60 kg and a force of 480 N equals 8 m/s2.

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The right answer is "8 m/s²"

Answer explanation:

Acceleration = force / mass

= 480 N / 60 kg

= 8 m/s2

Hope it helps✨✨

The experimental values for specific heat will be higher than the actual values.

What is specific heat?

The specific heat capacity, or massic heat capacity, of a substance, is calculated using thermodynamics as the heat capacity of a sample of the substance divided by the mass of the sample.

1) The error would be a systematic error i.e., error due to instruments.

And the specific value would be lower than the actual since some heat is lost in the process.

2) By adding the mass of the container, the experiment would have a blunder error i.e., the mistake error or the human error.

The experimental value would then come as lower, since the extra mass in the calculation will give rise to more mass and which would require more heat. But since, the heat is the same, so the calculated value would come lower.

3) by adding salt in it, the specific heat would come lower.

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The total momentum before the collision is -2.0kgm/s.

What is momentum?

This can be defined as the product of the mass and velocity of an object.

what is the formula for calculation momentum?

momentum Ρ= mass*velocity

                      =m*v

Given in the equation:

m₁=2.0kg

v₁=-1.0m/s

Calculating the first momentum i.e momentum before collision:

Ρ₁=m₁*v₁

   =2.0kg*-1.0m/s

   Ρ₁ =-2.0kgm/s

Given in the equation:

m₂=200.0kg

v₂=15.00m/s

Calculating the second momentum:

Ρ₂=m₂*v₂

    =200.0kg*15.00m/s

    =3,000kgm/S.

Hence the total momentum before the collision will be the first momentum i.e Ρ₁ =-2.0kgm/s

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Answer:

-2.0kgm/s

Explanation:

The other guy said so

The dc capacitance is 1420.84.

The way a capacitor behaves in a DC circuit

An uncharged capacitor has zero voltage in terms of DC voltage, which is the same as a short circuit. When the capacitor is fully charged, the circuit has no current flowing. An open circuit is therefore what a fully charged capacitor appears to dc to be.

Parallel plate capacitor ,

Area= (25.8 X 31.1) mm²

plate separation = d= 0.19 mm.

Er = dielectric constant =  3.8

Converting all the values in SI unit meter.

Area = 25.8 x 31.1/(10⁻³)²

Area = 802.38/10⁻⁶

Area = A= 0.0080238 m².

Now, d = 0.19mm =0.00019m

Er = 3.8

for parallel plate capacitor, the capacitance is given by

C = E₀ErA/d , where E = 8.85×10⁻¹²F/m.

C = 8.854 x 10⁻¹²X3.8X 0.0080238/0.00019

C =0.26996x 10⁻¹²/0.00019

C =1420.84x 10⁻¹²(10⁻¹² represent Pico and unit of capacitance is farad).

C = 1420.84

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The system with stone and the earth , result to net momentum zero as the stone falls freely.

A stone is thrown down from a high cliff's edge. If the stone and Earth are the only components of the system, then the stone's initial momentum is zero and it does not experience any external forces as it descends. As the stone falls, the system's momentum is zero.

What is linear momentum?

According to the conservation of initial momentum principle, the sum of the initial and final momentums is equal.

m₁u₁ ₊ m₂u₂ = m₁u₁ ₊ m₂u₂

A system made up of a linear system of earth and stone may have zero net momentum.

Therefore, a system of stone and earth can result to a net zero momentum.

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The system with stone and the earth , result to net momentum zero as the stone falls freely.

What is linear momentum?

According to the conservation of initial momentum principle, the sum of the initial and final momentums is equal.

m₁u₁ ₊ m₂u₂ = m₁u₁ ₊ m₂u₂

A stone is thrown down from a high cliff's edge. If the stone and Earth are the only components of the system, then the stone's initial momentum is zero and it does not experience any external forces as it descends. As the stone falls, the system's momentum is zero. A system made up of a linear system of earth and stone may have zero net momentum.

Therefore, a system of stone and earth can result to a net zero momentum.

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The skater need to start 7.525 meter high.

Let,

The skater need to start on a previous incline at height = h.

Mass of the skater = m

Given, height of the loop = 6.1 meter.

Radius of the loop; r = 6.1/2 meter = 3.05 meter.

Let to make it up and around a loop that is 6.1meters high, the man required minimum velocity v on the highest point of the loop.

So, centripetal force at highest point = weight of the man

⇒ mv²/r = mg

⇒ v = √(gr)

Then, potential energy of the skater at height h is = mgh.

And, minimum energy  of the skater at the highest point of the loop is = potential energy + minimum kinetic energy.

= mg(2r) + 1/2 mv²

= 2mgr + 1/2 mgr

= 5/2 mgr

According to conservation of energy,

potential energy of the skater at height h = minimum energy  of the skater at the highest point of the loop

⇒ mgh = 5/2 mgr

⇒ h = 5/2 r =( 5/2 )× 3.05 meter = 7.525 meter.

Hence, required height is 7.525 meter.

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Answer: 1. throw or drop (something) from an aircraft or ship

2.to ensure mission success just in case the first one fails.

Explanation:

The magnitude of the electric field that will cause a proton to enter the velocity selector and to be undeflected is 0.525 kV/m.

When a proton enters a region with a uniform electric and magnetic field, the magnetic force and the electric force will affect the motion of the protons. The electric field is perpendicular to the velocity of a proton. The magnetic field is perpendicular to both the velocity of the proton and the electric field and has an opposite direction to the electric force. When the proton is undeflected it means the forces balance.

F electric = F magnetic

qE = qvB

E = vB

[tex]v = \frac{E}{B}[/tex]

Parameter

Convert velocity to m/s

[tex]v = 43.4 \times \frac{1 \: km}{1 \: s} = 43.4 \times \frac{1,000 \: m}{1 \: s}[/tex]

v = 43.4 x 103 m/s

v = 4.34 x 104 m/s

Calculate the magnitude of the electric field

E = B x v

E = 1.21 x 10-2 x 4.34 x 104

E = 525.14 V/m

[tex]E = \frac{525.14}{1,000}[/tex]

E = 0.525 kV/m

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The statement about the movement of the object that is true is that the object is at rest at position Y. Option D

Let us recall that the projectile is a kind of motion that involves making an object to move along a parabolic path. This parabolic path is a curved path.  A typical example of the projectile motion is the is the image that have been shown in the question.

We can see that the path of the object as it s moving is curved through the points X, Y and Z. One thing that is worthy of note from the diagram s that the lowest point of the object is at point Z and the highest point of the object is at point Y.

Why we need the facts that are mentioned above in mind is that the projectile would have zero velocity at the highest point but would have the highest velocity at the lowest point of its motion.

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The calculated value is a = 16.24°. If the initial speed is the same, launch angles closer to 45° 45° 45° give a longer maximum horizontal distance (range).

These launches have a better balance of the initial velocity components that optimize the horizontal velocity and time in the air. The black dots represent measurements, such as the estimated 3D locations of the object based on the 2D images, while the bullseye represents the true value, such as the true location of the object. Let a be the projectile's angle.

37 sin a° is the vertical component.

Vertical component: 37 cos °

Time to achieve peak height equals (37 sin a°)/9.8

[2(37 sin a°)/9.8](37cos a°)(horizontal travel) = 75

75*9.8/37*37 = 2sin a° + cos a°

sin 2a° = 0.537

2a° = 32.47°

a = 16.24°

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Seeds of gymnosperms likely are not dispersed by animals because they are not enclosed in a fruit as occurs with angiosperm seeds.

What are gymnosperms and angiosperms?

Gymnosperms and angiosperms are different taxonomic groups of seed plants, which have certain particular features such as the presence of fruits angiosperms, it being an adaptive advantage for the dispersion of seeds through animals.

Therefore, with this data, we can see that gymnosperms and angiosperms are different groups of seed plants and angiosperms are evolutionary are more adapted to disperse their seed through animals due to the presence of fruits.

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Answer:

Below

Explanation:

Incredible amounts of fossil fuels are used to mine for materials, buil and transport electric vehicles

Electric vehicles use electricity to charge their batteries.  Most electricity is generated using fossil fuels such as natural gas and coal .