In order to avoid injury to driver, The force constant of this spring should be 73.82 N/m
Calculation of force constant to this spring:
Here
vertical drop is 15 m.
mass of the car, m= 113 kg
gravitational acceleration, g= -9.8 m/s^2
spring compression before car stops, x= 3.0 m
In order to avoid injury to the driver,
we need to use Hooke's law and Newton's second law:
F(net) = F(x)
m*a=-k*x
here a=g
k= -(m*g) / x
here k is force constant of this spring
substituting the values we get,
k = -(113* -9.8) / (15)
k = 73.8266 N/m
Hence, the force constant of this spring should be 73.82 N/m
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Bring a negatively-charged strip near the neutral electroscope but do not touch the knob. What happens
Positive charges are gathered on the neutral electroscope near the negatively charged strip.
To find the answer , we need to know about the induction of charge.
What's the induction of charge?When an electrically charged object is kept close to an neutral conductor, induced charage is produced in the conductor. This method is induction of charge.The induced charges have opposite sign to that of the charged object. Why are the charges induced in the neutral conductor?A charged particle attracts another oppositely charged particle. Similarly the charged object attracts the opposite charges present in that neutral conductor. So the oppositely charged particles present in the conductor are gathered at the side of the charged object and produce induced charges.Thus, we can conclude that the positive charges are gathered on the neutral electroscope near the negatively charged strip.
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Why do we use atomic models?
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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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
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
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.
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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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
You can, in an emergency, start a manual transmission car by putting it in neutral, letting the car roll down a hill to pick up speed, then putting it in gear and quickly letting out the clutch. If the car needs to be moving at 3.5 m/s for this to work, how high a hill do you need
Answer: 0.625 m
Explanation:
Given:
Final velocity of the car = 3.5 m/s
While the car rolls down the hill, there is a conversion of potential energy (PE) to kinetic energy (KE). Therefore, applying the conversion of energy as,
[tex]$$Total energy at height $(\mathrm{h})=$ Total energy at bottom$$\begin{aligned}&K E+P E=K E^{\prime}+P E^{\prime} \\&0+m g h=\frac{1}{2} m v^{2}+O \\&m g h=\frac{1}{2} m v^{2}\end{aligned}$$[/tex]
Here, m denotes the mass of the car, g is the gravitational acceleration, having a value of 9.8 m/s^2. And h is the height of the hill.
Solving for h,
[tex]\begin{aligned}&g h=\frac{l}{2} v^{2} \\&h=\frac{1}{2} \times \frac{v^{2}}{g} \\&h=\frac{1}{2} \times \frac{3.5^{2}}{9.8} \\&h=0.625 \mathrm{~m}\end{aligned}[/tex]
Therefore, the required height of hill is 0.625 m
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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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 0.500 kg bullet is fired from a gun at 25.0 m/s, how much kinetic energy does it have?
Considering the definition of kinetic energy, the bullet has a kinetic energy of 156.25 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is defined as the amount of work necessary to accelerate a body of a given mass and in a rest position, until it reaches a given speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its rest state by applying a force to it.
The kinetic energy is represented by the following expression:
Ec= ½ mv²
Where:
Ec is the kinetic energy, which is measured in Joules (J).m is the mass measured in kilograms (kg).v is the speed measured in meters over seconds (m/s).Kinetic energy of a bulletIn this case, you know:
m= 0.500 kgv= 25 m/sReplacing in the definition of kinetic energy:
Ec= ½ ×0.500 kg× (25 m/s)²
Solving:
Ec= 156.25 J
Finally, the bullet has a kinetic energy of 156.25 J.
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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
Use the concepts on which maxwell’s equations are based to explain why a compass needle is deflected when the compass is brought near a wire that is carrying an electric current.
A conductor that is conducting current generates a magnetic field everywhere around it. This magnetic field exerts force on the compass's magnetic needle, causing the needle to deviate.
Definition of Maxwell's rule
A current-conducting conductor creates a magnetic field everywhere around it. The magnetic needle of the compass experiences force from this magnetic field, which causes the needle to veer.
Equation for deflection
We have so far established that the total flux of electric field out of a closed surface is just the total enclosed charge multiplied by 1/ε0, ∫→E⋅d→A=q/ε0. This is Maxwell's first equation. It represents completely covering the surface with a large number of tiny patches having areas d→A.
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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 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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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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The speed of ultrasound in human body is 1540 m/s. A procedure is performed with a frequency of 2.57 MHz is used. To monitor the heart rate of a fetus, the maximum frequency shift is 100 Hz. The maximum speed of a vibrating heart is _____ cm/s.
2.49 cm/s is the maximum speed of vibrating heart.
Given,
Frequency of ultrasonic wave = 2.57 MHz = 2.57 ×[tex]10^{6}[/tex] Hz
Speed of ultrasound = 1540m/s
The maximum frequency shift = 100 Hz
Maximum speed of heart = ?
By using Doppler equation
[tex]f1 = f0(\frac{c + v}{c} )[/tex] …..(1)
[tex]f2 = f1 (\frac{c}{c - v} )[/tex] ….. (2)
From equation (1) & (2)
[tex]f2= f0(\frac{c+v}{c-v} )[/tex]
[tex]f2 = 2.57[/tex] ×[tex]10^{6} + 100 = 2570100[/tex] Hz
[tex]f0 = 2570000[/tex] Hz
c = 1540 m/s
So,
[tex]2570100 = 2570000(\frac{1540 + v}{1540 - v} )[/tex]
1.00003(1540-v) = 1540+v
1540.05 - 1.00003v = 1540 +v
2.00003v = 0.05
v= 0.0249 m/s
v= 2.49 ×[tex]10^{-2}[/tex] m/s
v= 2.49 cm/s
So, the maximum speed of vibrating heart is 2.49 cm/s
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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
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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LSST stands for Long Space Standard Telescope.
True
Or False
In the experiment you used objects with masses that were not necessarily known. Assume that it is determined that the mass of an object that produces a deformation of size 3, is 120 grams. What is the mass of an object that would produce 1 unit of deformation
Answer:
40 gm
Explanation:
size one is 1/3 of size 3
so the mass is also 1/3
1/3 * 120 gm = 40 gm
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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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 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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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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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
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.
When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?
When you "Rate," or analyze, the consequences of your decisions, HELP can assist an individual with: B. evaluating the consequences of his or her decisions.
What is the decision-making process?The decision-making process refers to a cognitive process that involves obtaining information, analyzing them, and then evaluating alternatives, so as to enable the proper selection of an optimum solution (choice) to a particular problem.
Based on personal health skills, we can infer and logically deduce that HELP can assist an individual with evaluating the consequences of his or her decisions when he or she "Rate," or analyze, the consequences of your decisions.
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Complete Question:
When you "Rate," or analyze, the consequences of your decisions, HELP can assist you with which of the following?
A. identifying what is most important.
B. evaluating the consequences of decisions.
C. determining what decision needs to be made.
D. narrowing the possibilities and acting on the best one.