The angle that will be required to bank the turn so that friction will not be required is 21.4°
What is centripetal force?A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.
Centripetal force = Mv²/r, Where r is the radius of the curvature and v is the speed.
For a turning car to be banked without friction, the angle of the curvature is given as tan(phi)= v²/rg
where (phi) is the angle.
phi = tan^-1(v²/rg)
v = 65km/h = 65×1000m/3600s= 18.06m/s
phi = tan^-1(18.06²/(85×9.8)
phi = tan^-1(0.392)
phi = 21.4°
therefore the angle required to bank the turn so that no friction will be required is 21.4°
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A skier starts from rest at the top of a hill that is inclined at 10.5° with the horizontal. The hillside is 200.0 m long, and the coefficient of friction between the snow and the skis is 0.075. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier move along the horizontal portion of the snow before coming to rest? Show all of your work.
Answer:
2000
Explanation:
ddoes rest : add the components
suppose that the bike rider in problem 15 pedaled up the hill and never came to a stop. in what system is energy conserved? from what form of energy did the bike gain mechanical energy?
The system in which the energy is conserved in Isolated system.
The bike gain mechanical energy from heat energy (friction force).
What is law of conservation of energy?The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
The system must be isolated for the mechanical anergy to conserved. During the energy conservation, the kinetic energy of the bike from the ground level is converted into potential energy at the maximum height.
Mathematically, the formula for this energy conservation is written as;
Δ K.E = Δ P.E
where;
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if the radius of the cd below is 6.0 cm and the angular velocity is 5.0 rad/s, what is its angular displacement in 2.0 s? AND linear displacement
Angular displacement: 10 rad.
linear displacement: 60 cm
What is angular velocity?In basic terms, angular velocity is the pace at which an item rotates or circles around an axis in time. "ω" is a Greek letter that stands in for angular velocity. Radians per second is the SI unit for angular velocity since it is expressed as an angle per unit of time.
Given that,
Radius of the CD below is 6.0 cm
Angular velocity is 5.0 rad/s.
As we know, angular displacement, (θ) = ω × t
or, θ = 5.0 rad/s × 2.0 sec
or, θ = 10 rad.
Next, linear displacement, (S) = R × θ
or, S = 6 cm. × 10 rad
or, S = 60 cm
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Marissa does 11.1 J of work to lower her window shade in her bedroom in 7 seconds. How powerful is Marissa?
Marissa does 11.1J of work in 7 seconds.
We know that, the expression of power,
P= W/t
Here, W is the work done and t is the time.
Substitute the required values to determine the value of the power of Marissa.
work done= 11.1 J
time taken = 7 seconds
Power = 11.1 / 7
Power = 1.58 W
Hence, Marissa is 1.58 W is powerful
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this photo shows apparatus used in an experiment in which materials thought to have been present on the early earth were sparked with energy. what have we learned from this type of experiment?
These experiments have shown that the building blocks of life form easily and naturally under conditions that existed on early Earth.
Who proposed the idea of the nebular hypothesis?
The generally accepted model for the formation of the solar system is called the nebular hypothesis. It takes all the different kinds of information and merges them into one hypothesis that seems to match all the observations. The theory was proposed by French mathematician Pierre Simon Laplace more than 200 years ago.
What is astrobiology and what type of research does it involve?
Astrobiology is the study of life within the universe. Astrobiologists study how life forms and develops, and where life can be found. Astrobiology involves the search for life outside Earth, the study of planets and moons within our Solar System, and the search for habitable planets around other stars.
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A 150g baseball rolls with exact same velocity as a 300 g soccer ball, how much more momentum does the soccer ball have?
Answer:
The momentum of the soccer ball will be twice that of the baseball.
Explanation:
If an object of mass [tex]m[/tex] travels with a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object will be [tex]p = m\, v[/tex]. Thus, if velocity is fixed, momentum will be portional to the mass of the object.
The mass of the soccer ball is twice that of the baseball: [tex](300 / 150) = 2[/tex]. Thus, when moving at the same velocity, momentum of the soccer ball will be twice that of the baseball.
What is the magnitude of force A,B
The magnitude of force A is -50N and for the B is 200N
What is magnitude?Magnitude is a measure of the size or intensity of something. It is usually the size of a physical quantity, such as a force, or an earthquake. It can also be used to refer to the degree of importance or intensity of an emotion, feeling or event. Magnitude is often expressed as a numerical value on a logarithmic scale. This scale is used to compare different physical quantities or events, such as the intensity of an earthquake or the power of a solar flare. Magnitude can also be used to describe the size, brightness or importance of an object, such as a star or a planet.
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An 893-kg (1974 lb) dragster, starting from rest, attains a speed of 25.8 m/s (57.8 mph) in 0.59 s.
(a) Find the average acceleration of the dragster during this time interval.
(b) What is the magnitude of the average net force on the dragster during this time?
(c) Assume that the driver has a mass of 68 kg. What horizontal force does the seat exert on the driver?
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I hope you and your family are doing well!
(a) To find the average acceleration of the dragster, we can use the equation:
average acceleration = (final velocity - initial velocity)/time interval
Plugging in the values from the problem, we get:
average acceleration = (25.8 m/s - 0 m/s)/0.59 s = 43.7 m/s^2
(b) The net force on an object is equal to its mass times its acceleration, so the net force on the dragster during this time interval is:
net force = 893 kg * 43.7 m/s^2 = 38,971 N
(c) To find the horizontal force the seat exerts on the driver, we can use the equation:
force = mass * acceleration
The acceleration of the driver is the same as the acceleration of the dragster, which we found to be 43.7 m/s^2. Plugging this value into the equation, we get:
force = 68 kg * 43.7 m/s^2 = 2970 N
So the seat exerts a force of 2970 N on the driver.
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thermonuclear runaway on the surface of a white dwarf due to accretion of matter from a companion star is called
A nuclear runaway on the edge of a White Dwarf (WD), which is absorbing matter from a partner star in a tight binary system, causes a classical nova eruption.
Has a thermonuclear bomb been used?The nuclear bomb, which the United States dropped in Japan in the Second World War and killed thousands of individuals, is already very powerful, but experts claim that a hydrogen bomb, which has never been used battle by any country, has the potential to destroy city and kill considerably more people.
What distinguishes nuclear energy from thermonuclear energy?Since a thermonuclear weapon makes use of the energy generated when two light protons and neutrons fuse together to make a heavier nucleus, it fundamentally differs from an atomic bomb. In contrast, the energy produced when a heavy alpha particle divides, or fissions, becoming two lighter nuclei is used in an atomic bomb.
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write the relationship between the phasor voltage and phasor current for an inductance.
The relationship between the phasor voltage and phasor current for inductance is V=Z*I
What is inductance?According to its definition, it is the amount of electric current that varies at a rate of one ampere per second, producing an electromotive force of one volt across the inductor. Inductance is measured using the SI unit Henry, abbreviated as "H."
What are current and voltage?Current in the circuit flows due to voltage, which is the potential difference between two locations in an electric field. The term "current" refers to the rate at which electrons are moving. Current is a result of voltage (being an effect). Voltage has an effect on the current.
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What are some of the differences between a gravitational force and a magnetic force?
A gravitational force is always attractive in nature and a magnetic force is attractive in nature between two opposite poles and repulsive in nature between two same pole.
What are the differences between a gravity and a magnetism?Gravity and magnetism are not the same thing. These two ideas or expressions are entirely dissimilar from one another. Despite the fact that both are regarded as forces, they are two distinct forces with various traits and features.
First of all, gravity works between two objects regardless of their composition because it is a separate force. There will be gravitational forces between the items as long as they have mass. Any two things will be drawn toward one another by gravity or another gravitational force if they have mass.
Magnetism, on the other hand, mostly depends on the unique characteristics of the object. There are two directions for the magnetic force. It has the power to draw things together as well as away from one another. The orientation of the electrons inside the items also affects how magnetism behaves. With gravity and gravitational force, this is not the case.
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an induced current flows clockwise as the metal bar is pushed to the right. the magnetic field points
The magnetic field will point in anticlockwise direction
What is Fleming's right hand rule?Fleming's right hand rule states that If the thumb shows the direction of motion, index finger shows the direction of the magnetic field and middle finger are held mutually perpendicular, then middle finger gives the direction of induced emf/current in the wire.
Fleming's right hand rule is used to determine the direction of an induced current in a coil.
Since the magnetic field and the induced current move in opposite directions, then if the induced current flows clockwise, the magnetic field will move in anticlockwise direction
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Why is it more difficult to push a sofa across a room with carpet than a room with a wood floor?.
Answer:
because the carpet creates more friction when sliding across which makes it slower while the slickness of the wood makes less friction
Im not sure but if your teacher asked you why are you interested in dawn (sunrise) what would you say?
Answer:
Because it's beautiful and very interesting. It shows the start of a new day. Why not be interested in it?
Explanation:
Is the force of friction related to the weight of the shoe? Explain
a conducting wire is quadrupled in length and tripled in diameter. part a part complete does its resistance increase, decrease, or stay the same? does its resistance increase, decrease, or stay the same? increase decrease stay the same previous answers completed part b by what factor does its resistance change?
The resistance decreases when the conducting wire is quadrupled in length and tripled in diameter.
The electrical resistance of a circuit component or tool is defined as the ratio of the voltage applied to the electric present day which flows thru it: If the resistance is consistent over a widespread variety of voltage, then Ohm's regulation, I = V/R, may be used to predict the behavior of the fabric.
An less difficult way to explain resistance is to don't forget an example of someone in a crowded marketplace struggling to go from one keep to every other. This situation is in reality similar to an electron looking to make its way thru a wire.
If the temperature and different bodily variables stay constant, the resistance of a conductor is exactly proportional to its period.
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use newton's second law of motion to calculate the acceleration of a 7 kg mass if a force of 68.6 n acts on it?
The acceleration of the object is 9.8 m/s^2.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the object: m = 7 kg.
Force acting on it: F = 68.6 N.
Hence, according to Newton's 2nd law of motion:
Force = mass × acceleration
acceleration = force/mass
= 68.6 N/7kg
= 9.8 m/s^2.
Hence, acceleration of the object is 9.8 m/s^2.
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The density of aluminum is 2. 70 g/cm3, a piece of aluminum is 244 g, what is the volume?.
Aluminum does have a density if 2.70 g/cm3 and a volume of 90.37 mL. A piece from aluminum weighs 244 g.
What is density and example?A block of the tougher, lighter element gold (Au), for example, will have a higher density than just a block of the heavy element lead (Pb) (Au). Bricks are more dense than Styrofoam blocks. Its meaning is mass per unit volume. To calculate a solid's volume, take its measurements, or use a measuring jug to calculate a liquid's volume. By putting the item or material on a scale, you may determine its mass. Divide the volume by the mass to determine the density.
Briefing:The formula may be used to determine a substance's volume given its mass and density.
volume=mass/density
Considering the query we have,
volume=244/2.70
volume=90.37
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Why do excavators have broad steel track chain instead of normal wheels?
Answer:
Increase the pressure , hence decreasing the force acting on the ground
Why might a wine glass survive a fall onto a carpeted floor but not onto a concrete floor?.
Pls help me with a physics question I am struggling
Answer:
It will condese to 47
Explanation:
As per as the table chart , Substance G melting point at 47 and boiling point at 120 so AS per as the chart
An inclined plane has an angle of inclination of 20 degrees from the horizontal. What time will it take for a cart to travel 1.5 m across the inclined plane if it starts from rest at the top of said inclined plane. Assume the system is frictionless.
The time taken to travel 1.5 m across the inclined plane if it starts from rest at the top be 0.95second.
What is inclined plane?An inclined plane, sometimes referred to as a ramp, is a flat supporting surface that is tilted at an angle and used to help raise or lower a weight with one end higher than the other.
One of the six traditional simple devices that Renaissance scientists defined is the inclined plane. Heavy weights are transported over vertical obstacles using inclined planes. Examples include a ramp used to load cargo onto a truck, a pedestrian ascending a ramp, an automobile ascending a grade, and a train ascending a gradient.
Given that:
angle of inclination = 20°.
Length of the inclined plane = 1.5 m.
Acceleration along the inclined plane = g sin20° =
Hence, time taken to travel 1.5 m across the inclined plane if it starts from rest at the top = √(2l/gsinθ = √(2×1.5/9.8sin20°) second = 0.95second.
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an electric motor, with an input power of 250 w, produces 200 w of mechanical power. the efficiency of the motor is
The Efficiency of an electric motor is 80%.
The portion of electrical energy that is not converted into mechanical power is converted to heat, which is largely useless. Assuming no transmission losses happen, as an illustration: For every killowatt of shaft power it produces, a motor with an efficiency of 80% will use 1/0.8=1.25 kW of electrical power.If a motor is 95% efficient, it will only require 1/0.95=1.05 kW to produce 1 kW of shaft work.Even though electric motor use can account for up to 66 percent of the energy costs in the processing of polymers, this is frequently overlooked. When energy is taken into account, the motors in the primary processing machinery, such as injection moulders and extruders, are obvious, but the majority of motors are "hidden" in other machinery, such as compressors, pumps, and fans.The motor's efficiency is defined as the net ratio of input to output mechanical power. Motor efficiency will never be greater than or equal to 100 percent. Efficiency (percent) = Output Power * 100 / Input Power.Efficiency=output work/dW
=200/250%
=80%
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at time t=0, a projectile is launched from the top of a cliff at an angle of 30 degrees below the horizontal. Which of the following pairs of graphs best represents the horizontal displacement triangle x and the vertical velocity component Vvert of the projectile as a function of time t?
Answer:
At time t=0 , Projectile is launched from the top of cliff an angle of 30
Explanation:
45-443tx=332
(ii) calculate the acceleration due to gravity on the moon, which has radius 1.74 * 106 m and mass 7.35 * 1022 kg.
The acceleration due to gravity on the moon ,which has the radius 1.74×10⁶ m and mass 7.35×10²² Kg is 1.63 m/s² .
The Acceleration due to gravity is defined as the acceleration of the freely falling bodies due to force of attraction of other body .
it is given that , the radius of the moon is(R) = 1.74×10⁶ m ;
the mass of the moon is(M) = 7.35×10²² Kg ;
we know that the gravitational constant is = 6.67×10⁻¹¹ Nm²/Kg² ;
the formula is :
g = GM/R²
g = (6.67×10⁻¹¹)(7.35×10²²)/(1.74×10⁶)²
g = 4.90×10¹²/3×10¹²
g = 1.63 m/s²
Therefore , the acceleration due to gravity on the moon is 1.63 m/s² .
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true or false: when we observe the cmb light we are seeing back in time (farther away) than quasars -- the farthest galaxies we can see.
The statement "when we observe the CMB light we are seeing back in time (farther away) than quasars -- the farthest galaxies we can see" is true.
What is the CMB light?The Cosmic Microwаve Bаckground, or CMB, is rаdiаtion thаt fills the universe аnd cаn be detected in every direction. The furthest light we cаn see is the CMB, which is the light left over from the Big Bаng, forming аt just 380,000 yeаrs аfter our cosmic birth.
The CMB light is the furthest back in time that we have seen, and we cannot see light from earlier times because that light was scattered and the universe was opaque. So, CMB cаrries informаtion аbout the very eаrly universe.
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what evidence supports the model of jupiter's galilean satellites forming in a mini accretion disk around jupiter?
The mass trend that among four moons is highest close to Jupiter and decreases with distance, with the inner circular members of this group being slightly lesser than the two end moons.
What are the uses of satellites?There are several satellites in operation. They are used for a number of purposes, including as the weather forecasting, amateur radio, television broadcasting, and the Global Positioning System. They use telescopes to look out at the planetary system in order to do research and collect data.
How many satellites currently exist in orbit?According to UNOOSA statistics from the Concerned Scientists, there are 8,261 satellites orbiting Earth as of December 2022, although only 4,852 among them are currently in use.
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For a projectile's Vertical Motion: the total hang time is twice the time it takes the projectile to reach Vtop.
O True
O False
Answer:
false, because the two are the exact same, at least in time
Crates of masses 1 kg , 4 kg , and 6 kg are placed in a line on a frictionless table. They remain in contact as they are pushed by a 60 N force applied to the 1 kg block.
A) What is the magnitude of the force that the 4 kg block deals to the 6 kg block?
B) What is the magnitude of the force dealt by the 4 kg block on the 1 kg block?
Answer:
Approximately [tex]33\; {\rm m\cdot s^{-2}}[/tex].
Approximately [tex]55\; {\rm m\cdot s^{-2}}[/tex].
(Assume that the table is level, and that the [tex]60\; {\rm N}[/tex] force is horizontal.)
Explanation:
Consider all three blocks as one object of mass [tex]m = (1 + 4 + 6)\; {\rm kg} = 11\; {\rm kg}[/tex]. Among all the forces that are in action, the only unbalanced external force on this [tex]m = 11\; {\rm kg}[/tex] object will be the [tex]60\; {\rm N}[/tex] force. Hence, the resultant force of this combined object of mass [tex]m = 11\; {\rm kg}[/tex] will be [tex]F_{\text{net}} = 60\; {\rm N}[/tex].
Acceleration [tex]a[/tex] of this combined object will be:
[tex]\begin{aligned}a &= \frac{F_{\text{net}}}{m} \\ &= \frac{60\; {\rm N}}{11\; {\rm kg}} \\ &= \frac{60}{11}\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
Since the three crate blocks are moving together, each will have the same acceleration, [tex]a = (60/11)\; {\rm m\cdot s^{-2}}[/tex].
Resultant force on each of the crate blocks will be:
[tex]1\; {\rm kg}[/tex] crate: [tex]F_{\text{net}} = m\, a = (1\; {\rm kg})\, (60/11\; {\rm m\cdot s^{-2}}) = (60/11)\; {\rm N}[/tex].[tex]4\; {\rm kg}[/tex] crate: [tex]F_{\text{net}} = m\, a = (4\; {\rm kg})\, (60/11\; {\rm m\cdot s^{-2}}) = (240/11)\; {\rm N}[/tex].[tex]6\; {\rm kg}[/tex] crate: [tex]F_{\text{net}} = m\, a = (6\; {\rm kg})\, (60/11\; {\rm m\cdot s^{-2}}) = (360/11)\; {\rm N}[/tex].Assume that the [tex]60\; {\rm N}[/tex] external force on the [tex]1\; {\rm kg}[/tex] block points to the right.
When the crates are considered individually, external forces on the [tex]1\; {\rm kg}[/tex] crate will include:
the [tex]60\; {\rm N}[/tex] external force to the right, anda normal force the [tex]4\; {\rm kg}[/tex] block exerts on the [tex]1\; {\rm kg}[/tex] block (to the left.) Assume that this force is of magnitude [tex]x\; {\rm N}[/tex].(In the vertical direction, the weight of this block and the upward normal force from the table are balanced.)Since these two forces are in opposite directions, the resultant force on this [tex]1\; {\rm kg}[/tex] block will be [tex](60\; {\rm N} - x\; {\rm N})[/tex]. However, since the actual resultant force on this block (calculated from acceleration) is [tex](60 / 11)\; {\rm N}[/tex]:
[tex]\displaystyle 60\; {\rm N} - x\; {\rm N} = \frac{60}{11}\; {\rm N}[/tex].
Therefore, the force that the [tex]4\; {\rm kg}[/tex] block exerts on the [tex]1\; {\rm kg}[/tex] block will be
[tex]\displaystyle 60\; {\rm N} - \frac{60}{11}\; {\rm N} = \frac{600}{11}\; {\rm N} \approx 55\; {\rm N}[/tex].
When considered individually, the only unbalanced external force on the [tex]m = 6\; {\rm kg}[/tex] block is the normal force from the [tex]4\; {\rm kg}[/tex] block. Hence, this force will be equal to the resultant force on the [tex]m = 6\; {\rm kg}[/tex] block, [tex](360 / 11)\; {\rm N} \approx 33\; {\rm N}[/tex].
a stalled car is being pushed up a hill with increasing velocity by three people. the net force on the car must be
Three persons are pushing a stopped automobile up a hill at an increasing speed, hence the net force exerted on the car has to be zero.
Is what velocity, for example in the case?The speed at which anything goes along a certain path is referred to as its velocity. as fast as a car traveling north on a highway, even, or as fast as a rocket taking off. The velocity vector's absolute amount has always been equal to the motion's speed since it is a scalar.
Can velocity change direction?The pace at which an object's position varies over time is referred to as its velocity (displacement). Speed can only be beneficial, unlike velocity, which includes combined speed and direction, which may be neither favourable or negative.
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