The friction force between the box and the incline if the box does not slide down the incline will be 0.577
The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are several kinds of friction: Two solid surfaces in touch are opposed to one another's relative lateral motion by dry friction.
Given the box resting on the inclined plane above has a mass of 20kg and the The incline sits at a 30 degree angle
We have to find the friction force between the box and the incline if the box does not slide down the incline
Since the frictional force F₁ must equal or exceed gravitational force F₂ down the incline:
F₁ = F₂
μmgcosΘ = mgsinΘ
μ = (mgsinΘ)/(mgcosΘ)
μ = tanΘ
μ = 0.577
Hence the friction force between the box and the incline if the box does not slide down the incline will be 0.577
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:The resistance created by the box's friction with the incline The slope will be 0.577 if the box doesn't descend.
Friction is the force that prevents solid surfaces, fluid layers, and material constituents from sliding past one another. Different types of friction exist. Dry friction opposes the relative lateral motion of two touching solid surfaces.
Given that the 20-kg box lying on the inclined plane above and the incline's 30 degree inclination
If the box does not slide down the incline, we must determine the friction force between them.
Given that the gravitational force F2 down the gradient must be equal to or greater than the frictional force F1,
F₁ = F₂
If mgcosx = mgsinx
equals (mgsinx)/(mgcosx)
μ = tanx
μ = 0.577
Therefore, if the box does not slide down the incline, the friction force between the box and the incline will be 0.577.
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Why do we use atomic models?
The table lists the weights of a 80 kg person on different planets. list these planets in decreasing order of mass.
The order of planets according to their decreasing mass is:
Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus: 8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilogramsWhat determines the weight of an object?The weight of an object is determined by the mass and the acceleration due to gravity, g.
The greater the value of g, the more the weight of the body and vice versa.
Weight = mass * acceleration due to gravityAlso, the more massive a planet or star is, the stronger the gravitational force it exerts. However, an increase in the radius of the planet results in a smaller gravitational force.
Thus, the order of planets according to their mass is:
Jupiter: 1.8986 x 10²⁷ kilogramsSaturn: 5.6846 x 10²⁶ kilogramsNeptune: 10.243 x 10²⁵ kilogramsUranus: 8.6810 x 10²⁵ kilogramsEarth: 5.9736 x 10²⁴ kilogramsVenus: 4.8685 x 10²⁴ kilogramsMars: 6.4185 x 10²³ kilogramsMercury: 3.3022 x 10²³ kilogramsIn conclusion, the greater the mass of a planet, thee higher the weight of objects on its surface.
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A sphere of radius 6cm is moulded into a thin cylindrical wire of length 32cm. Calculate the radius of the
wire in SI Units
Answer:
4/3 pi R^3 = pi r^2 L equating volume of sphere and wire
r = (4 R^3 / 3 * L)^1/2 solving for radius of wire
r = (4 * 6^3 / 3 * 32)^1/2
r = 9^1/2 cm = 3 cm = .03 meters
A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. What is the magnitude and direction of the student's total displacement
Answer: A student walks 50 meters east, 40 meters north, 35 meters east, and then 20 m south. Then the magnitude and direction of the student's total displacement will be 87.32 m along the direction of AD or in east-south direction.
Explanation: To find the correct answer, we need to know about the Displacement of a body in motion.
What is displacement of a body in motion?The displacement is the shortest distance between initial and final positions of a body.It's a vector quantity, and can positive, negative, or zero.The magnitude of displacement is less than or equal to the distance travelled.How to solve the problem?At first, we can draw a diagram showing the motion of the body.From the diagram, the displacement of the body will be equal to the distance between point A and D.To solve this, we can use Pythagoras theorem.[tex]AD=AC+CD\\AC^{2} =50^{2} +11^2\\AC=51.19 m\\Similarly,\\CD^2=35^2+9^2\\CD=36.13 m\\thus, \\AD=51.19+36.13=87.32 m[/tex]
Thus, from the above calculations, we can conclude that, the displacement of the body will be equal to 87.32 m along the direction of AD or in east-south direction.
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What is the colour of third band of a coded resistor having resistance equal equal to 2.3*10`2
Color of third band of a coded resistor is Brown.
What is Resistance:
Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, omega (Ω)The color code specify the resistance value, the tolerance, and sometimes the reliability or failure rate.
How to identify resistor's color codes:
Look at the resistor so the group of 3 or 4 color bands are on the left sideRead the color bands from left to right.Read the color on the last color band, which is farthest right.compare the colors to the resistance code tableHere,
the value of resistance is 2.3x10^2 Ω
R = 23x10^1 Ω
here power of 10 is 1
so, the color of third band of a color coded resistor will be related to number 1
Hence,
color of third band of a coded resistor is Brown.
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A boy is pushing a 60 KG box along the floor by applying a horizontal force of 115 and the box is accelerating at a rate of 0.5 m/s^2 what is the coefficient of kinetic friction between the box and the floor
The coefficient of kinetic friction between the box and the floor will be 3.83.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
it is defined as the product of the coefficient of friction and normal reaction.
Given data;
m is the mass of a boy = 60 kg
Horizontal force,f = 115 N
The coefficient of kinetic friction between the box and the floor,μ
Acceleration,a = 0.5 m/s²
The friction force is found as;
f = μN
The normal force is found as;
N =ma
f=μma
115 N = μ × 60 kg × 0.5 m/s²
μ = 3.83
Hence, the coefficient of kinetic friction between the box and the floor will be 3.83.
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Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must Choose one: A. spin at the same rate. B. spin faster. C. come to a complete stop. D. spin slower.
Imagine that a star-forming cloud collapses but retains all of its mass in a single blob. In order to conserve angular momentum, the cloud must spin faster.
Conservation of angular momentum is a physical characteristic of a rotational system that keeps its rotation constant unless it is affected by an external torque. In other words, the speed is constant as long as the net torque is zero.
In angular kinematics, conservation of angular momentum refers to the tendency of the system to preserve angular momentum in the absence of external torque. If the objects collide without net external torque, the angular momentum is constant. The two objects exert equal but opposite angular momentums to maintain the full angular momentum of the colliding system.
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You ran to a mountain that is 2km high in 30 min. (a) If your mass is 80 kg, find out what potential energy you will have when you reach to the peak of the mountain. (b) How much work is done by you
(a) mass = 80kg
height h= 2km
the potential energy at the peak of the mountain= mgh=80*9.8*2000=1568000J
therefore the potential energy at the peak of the mountain is 1568000J
(b) Work done in reaching the peak will be equal to the change in potential energy = 1568000)
therefore the work done is 1568000J
(c) Power is given by
P=W/t=1568000/(30*60)=871.11W
therefore the Power is 871.11W
The work done by force can be defined as the product of the displacement of an object and the component of the applied force acting in the direction of the displacement of the object.
Potential energy is stored energy that depends on the relative position of different parts of the system. Springs have more potential energy when compressed or stretched. Steel balls have more potential energy to be lifted across the ground than after they have fallen to Earth.
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If the Earth were twice as far away from the Sun, the force of gravity attracting Earth to the Sun would be
Answer:
1/4
Explanation:
Fgravity is proprtional to 1 / r^2
now double r to 2r
1 / (2r)^2 = 1/4 * 1/r^2 <======this shows the force to be reduced to 1/4 of original when the distance is doubled
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops. What distance does the train travel while slowing down?
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops the distance does the train travel while slowing down are 4430.75 m.
What is distance?Distance measures length. For example, the gap of a street is how lengthy the street is. In the metric gadget of size, the maximum not unusualplace devices of distance are millimeters, centimeters, meters, and kilometers.
It takes 24/.065 = 369.23 sec to slow down to zero.In that point it travels s = half of at^2 = half of (.065)(369.23^2) = 4430.75m.Read more about distance:
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An 8000-N car is moving at 12 m/s along a horizontal road. The driver applies the breaks and the car skids to a stop. How much kinetic energy is lost? Group of answer choices 4.8*104 J 4.8*106 J 5.8*105 J 5.9*104 J 1.2*105 J
58775.51 J kinetic energy is lost,
Energy lost = 0.5*mv²
= 0.5*8000/9.8 * 12*12
= 58775.51 J
To calculate the energy loss of a moving object, subtract the initial kinetic energy from the final kinetic energy, where the initial and final kinetic energies are calculated using the formula 1/2*M*V^2.
When energy is transformed from one form to another or moved from one area to any other, or from one device to another there's energy loss. This means whilst energy is converted to a different form, some of the entering energy is become an especially disordered form of energy, like heat.
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The oceanic Nazca plate is being subducted beneath the continental South American plate. Which type of plate boundary is this?
eanic convergent
Answer:
ocean-continent convergent boundaries
Examples of ocean-continent convergent boundaries are subduction of the Nazca Plate under South America (which has created the Andes Range) and subduction of the Juan de Fuca Plate under North America (creating the mountains Garibaldi, Baker, St.
calculate the volume of an object of mass 500g whose density is 70kgm-3
Answer:
Amount Unit
132.48935 kilogram
132489.35 gram
132489350 milligram
0.13248935 ton
292.08925642428 pound (lb)
662446.75 carrat
2044623.1271428 grain
7.9786897063466E+28 atomic mass unit
What happens if you move a bar magnet back and forth along the axis of the
coiled wire shown below?
C) A current is induced in the coiled wire, which lights the light bulb
The moving magnetic field creates electricity which lights the light bulb
Hope it helps!
Answer:
C) A current is induced in the coiled wire, which lights the light bulb
Explanation:
A metal ball of mass 2kg moving with speed of 10 m/s undergoes a head collision with Stationary ball of mass 3 kg. If arfter collision, both the balls move together What is the loss in kinetic energy due to collision.
Answer:
Loss in kinetic energy = 60 J
Explanation:
We have to first calculate the final velocity of the objects to find the final kinetic energy.
• Using the law of conservation of momentum:
[tex]m_1 u_1 + m_2 u_2 =m_1 v_1 + m_2 v_2\\\\[/tex]
⇒ 2 × 10 + 0 = (2 + 3)v
⇒ v = [tex]\frac{20}{5}[/tex]
⇒ v = 4 m/s
• Initial kinetic energy = [tex]\frac{1}{2}[/tex] × 2 × (10)²
= 100 J
• Final kinetic energy = [tex]\frac{1}{2}[/tex] × (2 + 3) × (4)²
= 40 J
∴ Loss in kinetic energy = 100 - 40
= 60 J
12. A rear-end collision involved a 40-year-old vehicle. The driver and front-seat passenger both sustained serious neck injuries. Which modern energy-absorbing device protects against such injuries
Head restraints are energy-absorbing device that protects against such injuries.
Head restraints are a car protection characteristic, connected or included into the pinnacle of each seat to restrict the rearward motion of the grownup occupant's head, relative to the torso, in a collision to save you or mitigate whiplash or damage to the cervical vertebrae.
Powerful head restraints are designed to reduce the rearward motion of the head in a rear-end crash and reduce the probability of occupants maintaining whiplash neck injuries. Head restraints are generally known as head rests.
Make certain the top of the top restraint is at least a degree from the pinnacle of your head. The role is the pinnacle restraint so it's as near the again of your head as possible. You may need to alter the again of seat.
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A spiral spring has a length of 14 cm when a force of 4 N is hung on it. A force of 6 N extends
the spring by 4 cm. Calculate the unstretched length of the spring.
Answer:
bussy
Explanation:
shart
A boy and a girl are riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?
The boy near the outer edge has the greater centripetal acceleration.
As the merry- go- round is turning at a constant rate, it means it has constant angular velocity.
The rate at which a particle or an object rotates around a specific point or center within a given period of time is known as its angular velocity.
In terms of angular velocity,
Centripetal acceleration [tex]a_{C} = rw^{2}[/tex]
where, r is the radius of the circle
and w is the angular velocity
At the constant angular velocity
Centripetal acceleration is directly proportional to the radius of the circle. [tex]a_{C}[/tex] [tex]\alpha[/tex] [tex]r[/tex]
It means as the radius of the circle increases, centripetal acceleration also increases and vice versa.
As the boy near the outer edge has a larger radius in comparison to the girl towards the center.
That’s why when a boy and a girl are riding a merry-go-round which is turning at a constant rate, the boy who is near the outer edge will have the greater centripetal acceleration.
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The photosynthetic electron transport causes the accumulation of protons in which part of the chloroplast?.
During photosynthetic electron transport, protons accumulate at high concentration inside the thylakoid space.
Photosynthesis:
Plants and other living things employ a process called photosynthesis to transform light energy into chemical energy that can then be released through cellular respiration to power the organism's activities.
The word "photosynthesis" comes from the Greek words "light" and "putting together," and refers to the process of creating molecules of carbohydrates from carbon dioxide and water. These molecules, such as sugars and starches, are then stored with some of this chemical energy. Photoautotrophs are creatures that perform photosynthesis, including most plants, algae, and cyanobacteria. The majority of the energy required for life on Earth is produced and maintained by photosynthesis, which is also substantially responsible for producing and maintaining the oxygen content of the atmosphere.
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An electric furnace that draws 40 amps with an applied voltage of 240 V will consume ________ watts.
The electric furnace will consume 9600 watt of power.
To find the answer, we need to know about the electric power.
What's the electric power?Electric power is defined as the product of voltage and current.Mathematically, power= V×IIts si unit is watt.What will be the power consumed by an electric furnace that draws 40A with an applied voltage of 240V?The power = 240×40 = 9600 watt
Thus, we can conclude that the power consumption of the electric furnace is 9600 watt.
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Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.08 nC, and the other has a charge of 4.02 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other
The magnitude (in N) of the electric force that one particle exerts on the other is A. F=107.6nN.
F=[(9×10^9) ×(7.10×10^-9) ×(4.42×10^-9)] /(1.62^2)
F=(282.4×10^-9)/2.6244
F=107.6×10^-9N
F=107.6nN
Experiments with electric charges have shown that two charged objects exert electrical forces on each other. The magnitude of the force is linearly proportional to the net charge of each object and inversely proportional to the square of the distance between the objects.
Coulomb's law for calculating electrostatic forces. This force arises from the interaction between two charged objects (or point charges), the magnitude of which is calculated by F = kQ1Q2r2 F = k Q 1 Q 2 r2.
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What mirror setting leaves large areas that cannot be seen in the mirrors on both sides of the vehicles
Convex mirror is used on both sides of the vehicle to see large areas.
To find the answer, we need to know about convex mirror.
What is convex mirror?
Convex mirror is a spherical mirror. Its reflecting surface bluges towards the light source. It's also called diverging mirror as it diverges the light rays fall on it.How can we see large areas with convex mirror?As convex mirror is a diverging mirror, so it reduces the size of an object in front of it. Thus, it provides more space in the mirror to capture a larger amount of rays coming from wider angles from bigger objects.Thus, we can conclude that the convex mirror is used on both sides of the mirror to view large areas.
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An observer views a spectrum and notes two characteristics of the spectrum:
1) most of the colors of a continuous spectrum are present,
2) at certain wavelengths, light is missing such that several dark lines are seen in the spectrum.
Describe the objects that are causing this spectrum to be seen. Be sure to state the relative temperatures of the objects that are involved in creating this spectrum.
The spectrum seen is the absorption spectrum. The wavelengths corresponding to those of the material through which light is being passed are absorbed, which leads to the occurrence of several dark lines in the spectrum.
White light when the incident with the object caused it to absorb the wavelengths corresponding to its excitation energy. These are characteristics of a particular atom/molecule.
Hence using this those can be identified. The absorption of the external energy leads the atoms to go to an excited state, hence the temperature increases.
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What is the distance traveled by an object that moves with an average velocity of 8.0 m/s for a total of 4.0 seconds
if V=8.0secs ,T=4.0secs D=s×t 8.0×4.0=32m
Which two theories disagree when it comes to describing the singularity thought to be at the center of a black hole
when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.
What is the singularity of a black hole?
It is the center of the black hole, a place of infinite density where the known laws of physics cannot describe the conditions.It is place from which the escape velocity exceeds the speed of light.According to Einsteinʹ s general theory of relativity:
Theory of relativity holds that what we perceive as the force of gravity arises from the curvature of space and time. The scientist proposed that objects such as the sun and the Earth change this geometryfrom this we can say that,
It doesn't agree the concept of describing the singularity thought to be at the center of a black hole
Hence,
when it comes to describing the singularity thought to be at the center of a black hole Quantum physics and Einsteinʹ s general theory of relativity theories disagree.
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From laboratory measurements, we know that a particular spectral line formed by hydrogen appears at a wavelength of 500 nanometers (nm). The spectrum of a particular star shows the same hydrogen line appearing at a wavelength of 480 nm (a shorter wavelength). What can we conclude
The star is moving toward the earth.
It is due to the phenomenon of the Doppler shift.
The Doppler effect, commonly referred to as "Doppler shift," is the change in the wavelength or frequency of waves as a result of an observer's motion in relation to the wave source.
It is possible to see this apparent wavelength change in the visible light emitted by stars and galaxies.
As a result, a star moving toward Earth appears to emit light with a shorter wavelength than a light source that is stationary. It is known as blueshift because shorter wavelengths cause the spectrum to shift toward the blue end.
While a star traveling away from us appears to shift its light towards longer wavelengths. Astronomers refer to this as redshift since it is closer to the red end of the spectrum.
As the spectrum of a particular star shows the hydrogen line appearing at a shorter wavelength of 480 nm in comparison to the laboratory measurements, that show the same hydrogen lines at a greater wavelength of 500 nanometers, that’s why we conclude that the star is moving toward earth.
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A 1,160 kg satellite orbits earth with a tangential speed of 7,446 m/s. if the satellite experiences a centripetal force of 8,955 n, what is the height of the satellite above the surface of earth? recall that earth’s radius is 6.38 × 106 m and earth’s mass is 5.97 × 1024 kg. 3.71 × 1028 m 8.02 × 105 m 7.20 × 105 m 9.67 × 1028 m
The satellite is 8.02 × 10⁵ m above Earth's surface.
Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert
Procedure to solve:
F = mv²/R+H
H = mv²/F - R
H = (1160 × 7446²/8955 - 6.38 × 10⁶)
M = 8.02 × 10⁵ m
About centripetal force:
The force applied to an item that is in velocity of curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:
F = mv²/r
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Answer:
8.02x 10^5 m
Explanation:
quiz
A long wire carries a current toward the north in a magnetic field that is directed vertically downward perpendicular to the surface of Earth. What is the direction of the magnetic force on the wire
The direction of the magnetic force on the wire is west.
The magnetic force acting on the moving protons acts northward in the horizontal plane. If the thumb is up (current flows vertically up), the wrapped finger will be counterclockwise.
Therefore, the direction of the magnetic field is counterclockwise. Here, the magnetic field is pointing upwards (vertical magnetic field) and the electrons are moving east. Applying Fleming's left-hand rule here, we can see that the direction of force is along the south direction.
As the change in magnetic flux increases upwards, Lenz's law indicates that the induced magnetic field of the induced current must resist and the inside of the loop must be directed downwards. Using the right-hand rule, we can see that a clockwise current is induced.
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The direction of the magnetic force on the wire is vertically downward.
We will locate the magnetic area this is as a result of transferring charges and the usage of a second right-hand rule.
The magnetic area is made by using a modern immediate wire that curls across the cord in a ring. You can discover it via pointing your right thumb in the path of the cutting-edge inside the wire and curling your fingers.
Right-hand thumb rule: in line with this rule, if we believe the linear cord conductor to be held in the grip of the right hand so that the thumb factors inside the path of the contemporary, then the curvature of the palms across the conductor will represent the route of magnetic discipline traces.
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The Sun is a star that is in a stable state called the main sequence.
Describe the evidence that suggests some stars are moving away from Earth.
I need help with the question above in the image.
Answer:
12.6 s
Explanation:
y = 1/2 at^2
780.1 = 1/2 ( 9.81) t^2 answer can only have 3 s.d. due to the 9.81
t = 12.6 s