The force required to keep the box moving at a constant speed is 45.4 N
What is friction force?Friction is the force that resists relative motion as elements of solid surfaces, fluid layers, and materials slide over each other. A type of contact force that exists between contact surfaces.
We know that;
Fₙ = m × a
Where, Fₙ = Net force
m = mass of the object (11.3 kg)
a = acceleration
Since the box is moving with a constant speed which means there is no acceleration.
Fₙ = 11.3 × 0
Fₙ = 0
Now,
Fₓ = μmg
Where, Fₓ = Friction force
μ = coefficient of kinetic friction (0.41)
m = mass of the box (11.3 kg)
g = gravitational acceleration (9.8m/s²)
Fₓ = 0.41 × 11.3 × 9.8
Fₓ = 45.4 N
We know that,
Fₙ = Fₐ - Fₓ
Where, Fₙ = Net force
Fₐ = Applied force
Fₓ = Friction force
Since Fₙ = 0, then:
0 = Fₐ - 45.4
Fₐ = 45.4 N
Therefore, if the kinetic friction force is equal to the applied force, the acceleration will be zero and the body will move with constant velocity.
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an archer shoots a bow horizontally from the same height as the target's bull's-eye, located 25.2 m away. the bow is shot with a speed of 76.9 m/s. how far below the center of the bull's-eye does the arrow hit the target?
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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a rocket takes off from earth and reaches a speed of 130 m/s in 19.0 s. if the exhaust speed is 1,200 m/s and the mass of fuel burned is 150 kg, what was the initial mass (in kg, including the initial fuel) of the rocket?
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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there are two reasonable approximations to consider for the pencil in this problem: a cylinder and a thin rod. however, in this problem we will treat the pencil as a uniform thin rod of length 15.0 cmcm and mass 10.0 gg .
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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One uranium atom has a diameter of 3. 5×10−8 centimeters. What is the sum of 1,000,000 uranium atoms’ diameters, in centimeters, written in standard notation?.
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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Assume that 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; what kind of spectrum is seen in this case?.
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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1. When was the Apollo mission considered a success?
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
rosa suggests a source of error: some of the energy from the heating coil is lost because the insulation of the container is not perfect. what type of error will this cause? that is, will the experimental values for specific heat be higher or lower than the actual values? explain your reasoning.
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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A 5.0 kg object is being acted on by a 20 N force to the right (F1), and a 30 N force,
also to the right (F2).
What is the net force acting on the object?
50 N is the total force exerting on the object.
How can I determine what force is at work on an 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.
What is the force law formula?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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What is one idea why a relatively dense protogalactic cloud more likely to produce an elliptical galaxy than a spiral galaxy?.
The higher gas density forms stars more efficiently, so all the gas is converted into stars before a disk can form.
What is density ?Density is a measure of how much "stuff" is in a given space. For example, a block of the heavy element lead (Pb) is denser than the softer, lighter element gold (Au). Styrofoam blocks are less dense than bricks. Defined as mass per unit volume. Object density is one of the most important and easily measured physical properties. Density is commonly used to identify pure substances and to characterize and estimate the composition of various types of mixtures.The density of an object or substance can be calculated from the formula: Density in kilograms per cubic meter equals mass in kilograms divided by volume in cubic meters (p = m/v).To learn more about density from the given link :
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What 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?
find A, Fn, and Fg
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 parallel plate capacitor has a cross-sectional area of 25.8 x 31.1 mm and a plate separation of 0.19 mm. what is the dc capacitance, in pf, if the material inserted in between the plates has a dielectric constant of 3.8 ? (answer format x.x)
The dc capacitance is 1420.84.
What exactly is DC capacitance?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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What does "jettison" mean? Why are parts of the spacecraft jettisoned?
Answer: 1. throw or drop (something) from an aircraft or ship
2.to ensure mission success just in case the first one fails.
Explanation:
a screen is placed 37 cm from a single slit which is illuminated with 564 nm light. if the distance from the central maximum to the first minimum of the diffraction pattern is 2.7 mm, how wide is the slit in micrometer?
The width is 1.55650 μm.
What kind of diffraction pattern is it?A parallel electron beam is focused on the sample in the same manner as in imaging mode to produce diffraction patterns. The beam width transmitted is controlled by a chosen area aperture, and the intermediate lens concentrates the diffraction pattern onto the screen.
Given data:
separating the single slit from the screen = L = 37cm
λ = 564 nm
distance between the first minimum and the central maximum = Z = 2.7mm
We are aware that the destructive diffraction angle is:
θ = pλ/a
where p is the minimum's order, p = 1 for the first minimum, and a is the slit's width, we get the following:
θ = (564nm/a)
We also know that a triangle rectangle can be created, with the distance between the slit and the screen serving as the adjacent cathetus to this angle and the distance between the first maximum and the first minimum serving as the opposite cathetus:
Tg(θ) = Z/L
Tan(564nm/a) = 2.7/37
The same units must first be used on the right side:
2.7mm = 0.27cm
Tg(636nm/a) = 0.27cm/43cm
636nm/a = Atg( 0.27cm/43cm ) = 0.406
a = 636nm/0.406 = 1,556.50nm
1 μm = 1000nm
then:
a = 1,556.50 nm = (1,556.50/1000) μm = 1.55650 μm
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How an electric car might still run on fossil fuel
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 .
Which of the following potential problems with question wording have been identified by cognitive psychologists? (Check all that apply.) a) unfamiliar technical terms
b) vague or imprecise terms
c) ungrammatical sentence structure
d) phrasing that overloads working memory
e) embedding the question with misleading information
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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a stone is dropped from the top of a high cliff with zero initial velocity. in which system is the net momentum zero as the stone falls freely? 1. the stone and the earth 2. none of these 3. the stone itself 4. the stone and the person who drops it
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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A cheetah has a mass of 60 kg. It produces a force of 480 n between its feet and the ground. What is its acceleration?.
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✨✨
A certain microwave ha a wavelength of. 032m. Calculate the frequency of the microwave
The frequency of microwave is 9.4 ×10⁹ Hz when it has wavelength of 0.032m.
What is wavelength?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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What is the acceleration of a vehicle that
changes its velocity from 300 km/h to a dead
stop in 20 s ?
Answer in units of m/s
2
a 45.0-kg woman stands up in a 60.0-kg canoe 5.0 m long. she walks from a point 1.00 m from one end to a point 1.00 m from the other end. if you ignore resistance to motion of the canoe in the water, how far does the canoe move during this process?
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
Two tream merge to form a river. One tream ha a width of 8. 2 m, depth of 3. 4 m,
and current peed of 2. 3 m/. The other tream i 6. 8 m wide and 3. 2 m deep, and flow at
2. 6 m/. If the river ha width 10. 5 m and peed 2. 9 m/, what i it depth?
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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Do you think that the seeds of gymnosperms would likely be dispersed by animals?
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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The velocity selector in in a mass spectrometer consists of a uniform magnetic field oriented at 90 degrees to a uniform electric field so that a charge particle entering the region perpendicular to both fields will experience an electric force and a magnetic force that are oppositely directed.
If the uniform magnetic field has a magnitude of 12.1 mT, then calculate the magnitude of the electric field that will cause a proton entering the velocity selector at 43.4 km/s to be undeflected. Give your answer in units of kV/m.
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]
v = velocity of the proton (m/s)E = the magnitude of the electric field (V/m)B = the magnitude of magnetic field (T)Parameter
B = 12.1 mT = 12.1 x 10-3 T = 1.21 x 10-2 Tv = 43.4 km/sConvert 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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To an observer on earth, the sun appears brighter than the star rigel because the sun is.
To an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
Distance between the Sun and Earth = 147.85 millions km
Distance between the star Rigel and Earth = 864.3 light years
1 light year = 9.46 * [tex]10^{12}[/tex] km
864.3 light years = 9.46 * 864.3 * [tex]10^{12}[/tex] km
864.3 light years = 8176.278 * [tex]10^{12}[/tex] km
864.3 light years = 817.63 * [tex]10^{7}[/tex] million km > 147.85 millions km
Clearly the distance between the Sun and Earth is way lesser than the distance between the star Rigel and Earth. Larger the distance smaller the size it will appear and lesser the light that can be seen.
Therefore, to an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
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if the satellite has a mass of 3000 kg , a radius of 4.2 m , and the rockets each add a mass of 230 kg , what is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest?
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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A solar eclipse happens when…
A. the Moon’s shadow crosses Earth’s surface.
B. the Earth’s shadow crosses the Sun’s surface.
C. the Earth’s shadow crosses the Moon’s surface.
D. the Sun’s shadow crosses the Moon’s surface.
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.
A 2.0 kg piece of metal flying at -1.0 m/s hits a windshield of a 200.0 kg object at 15.00 m/s. They collide and stick together. What is the total momentum before the collision?
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
what is the angular acceleration of the pencil when it makes an angle of 10.0 degrees with the vertical? express your answer numerically in radians per second squared to three significant figures. view available hint(s)
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.
[tex]\frac{x}{\frac{1}{2} L} = sin \: 10^o[/tex]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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Which option is correct and explain why in detail?
The statement about the movement of the object that is true is that the object is at rest at position Y. Option D
What is the maximum height?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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a spaceship leaves earth traveling at 0.61c. a second spaceship leaves the first at a speed of 0.87c with respect to the first. calculate the speed of the second ship with respect to the earth if it is fired directly toward the earth
To find the speed of the spaceship using, speeds formula to calculate its.
What is speed?
The distance traveled in a unit of time is referred to as "speed." It is the rate of movement of an object. Speed is a scalar quantity, as is the velocity vector's magnitude. There is no clear direction to it. An object is moving more quickly if its speed is higher.
What is velocity?
A particle's or object's displacement with respect to time is expressed vectorially as velocity. The meter per second (m/s), also referred to as speed, is the accepted unit of velocity magnitude.
a) In the reference frame of the Earth, the first spaceship is moving at +0.61 c, and the second spaceship is moving at +0.87c relative to the Earth is relative to the first. Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+0.87c)/(1+(0.61)(0.87))=0.967c
b) In the reference frame of the Earth, the first spaceship is moving at +0.61c and the second
spaceship is moving at -0.87 c relative to the first Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+(-0.87c))/(1+(0.61)(-0.87))= -0.554c
Therefore, the speed of the second ship with respect to the earth is 0.967c and the speed of the second ship with respect to the earth if it is fired directly toward the earth is - 0.554c
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