The increase in internal energy of the tie and spike is approximately 1.12 Joules.
The initial kinetic energy of the spike is:
K_i = (1/2) * m * v^2
K_i = (1/2) * 0.60 kg * (1.8 m/s)^2
K_i = 1.94 J
The amount of kinetic energy that is absorbed as internal energy is:
K_absorbed = 0.578 * K_i
K_absorbed = 0.578 * 1.94 J
K_absorbed = 1.12 J
Thus,the value is 1.12 Joules.
Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.
Kinetic energy is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy. A person walking, a soaring baseball, a crumb falling from a table and a charged particle in an electric field are all examples of kinetic energy at work.
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The forearm bone is part of the elbow joint. The bicep muscle in the forearm bends it against the weight of the forearm
and a weight that the hand is holding. This best describes muscle and bone working together as a
Joint
diaphragm
Sternocleidomastoid
lever
Answer: D. Lever
Explanation: The biceps muscle provides the effort (force) and bends the forearm against the weight of the forearm and any weight that the hand might be holding. Many muscle and bone combinations in our bodies are of the Class 3 lever type.
Compute the resistance of a 90-cm length of copper wire with a 0. 020 -cm^2 cross-sectional area. ( = 1. 8 x 10-6 ohm-cm)
R = ______ ohms
The resistance of a 90-cm length of copper wire with a 0. 020 -cm^2 cross-sectional area is 81 ohms.
The resistance of a wire is given by:
R = (rho * L) / A
where rho is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
In this case, we are given that the length of the copper wire is 90 cm, the cross-sectional area is 0.020 cm^2, and the resistivity of copper is 1.8 x 10^-6 ohm-cm.
First, we need to convert the units of length and cross-sectional area to meters and square meters, respectively:
L = 90 cm = 0.9 m
A = 0.020 cm^2 = 2 x 10^-5 m^2
Now, we can substitute these values into the formula for resistance:
R = (rho * L) / A
R = (1.8 x 10^-6 ohm-cm * 0.9 m) / 2 x 10^-5 m^2
R = 81 ohms
Therefore, the resistance of the copper wire is 81 ohms.
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what is the speed of an object with a mass of 192 kg when it hits the ground if it is dropped from a height of 13 m
Answer:
V=15.96M/S OR ～16M/SExplanation:
SINCE IT IS DROPPED, INITIAL VELOCITY WILL BE ZEROU = 0
V = ?
S = 13M
ACCELERATION DUE TO GRAVITYA = 9.8m/s²
USING KINEMATIC FORMULA[tex]v {}^{2} = u {}^{2} + 2as[/tex]
[tex]v { }^{2} = 0 + 2(9.8)(13) \\ v {}^{2} = 254.8 \\ v = 15.96m/s[/tex]
what is the magnitude of the force between two wires separated by 9.30 cm and each carrying 128 a? one wire is very long and the other is 35.0 m long
The magnitude of the force between the wires is 0.00156 N
The magnitude of the force between two parallel wires can be calculated using the formula:
F = (μ₀ * I₁ * I₂ * ℓ) / (2 * π * r)
where F is the force
, μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A),
I₁ and I₂ are the currents in the wires,
ℓ is the length of the shorter wire, and
r is the separation distance between the wires.
In this case, we have:
I₁ = I₂ = 128 A
ℓ = 35.0 m
r = 9.30 cm = 0.0930 m
So, the force between the wires is:
F = (4π × 10^⁻⁷ T·m/A) * (128 A)² * (35.0 m) / (2 * π * 0.0930 m)
F = 0.00156 N
Therefore, the magnitude of the force between the wires is 0.00156 N.
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Objects go around the Sun in elliptical orbits. Especially comets can have orbits with a high eccentricity. The newly found comet P/2023 IAAC has a semi-major axis of 16.5 AU and a semi-minor axis of 8.3 AU. The comet’s mass is negligible compared to the Sun (1.9 x 1030 kg).
Answer:
19pr
Explanation:
how much voltage is available to operate an overvoltage relay 59g when connected across the grounding resistor? what is the multiple of pickup if 59g minimum operating value is 5.4 v.
The voltage available to operate an overvoltage relay 59G when connected across the grounding resistor is 54 V. The multiple of pickup if 59G minimum operating value is 5.4 V is 10.
An overvoltage relay is a type of protective relay that is used to detect overvoltage conditions on an electrical network. The purpose of this relay is to detect if the voltage on the network exceeds a certain level, which could result in damage to equipment or electrical systems connected to the network. The overvoltage relay is connected to the electrical network in such a way that it monitors the voltage level on the network and is capable of tripping a circuit breaker or other protective device if the voltage level exceeds a preset value.
The voltage available to operate an overvoltage relay 59G when connected across the grounding resistor is 54 V. This is because the grounding resistor limits the voltage to a maximum of 54 volts. If the voltage level on the network.
The multiple of pickup if 59G minimum operating value is 5.4 V is 10. This means that the overvoltage relay will trip if the voltage on the network exceeds 54 volts. If the voltage level on the network is between 5.4 volts and 54 volts, the overvoltage relay will not trip, since the voltage is below the pickup level. However, if the voltage level on the network exceeds 54 volts, the overvoltage relay will trip and disconnect the circuit.
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Un bouteille de jus d’orange contient 100 g de sucre. Une cannette de 33 cL de soda contient 34 g de sucre.
1. Quelle est la concentration en sucre dans un verre de 20 cL de jus d’orange ? 2. Quelle est la masse de sucre dans un verre de 20 cL de jus d’orange ?
3. Comparer les concentration en sucre du soda et du jus d’orange.
Answer:
Does sugar make us sick? For his film Sugar Land , in theaters on Wednesday January 24, director Damon Gameau tested the effects of a high-sugar diet on his body, which was apparently in good health before the start of the experiment. According to a study published by the Harvard School of Public Health, people who consume one to two cans of sugary drinks a day are 26% more likely to develop type 2 diabetes than those who rarely consume them. This disease usually occurs in adults aged 40 and over, and affects more overweight people.
The Openfoodfacts site, which lists food products and their nutritional information, presents more than 1,300 references in its sugary drinks section , with an average sugar intake of 20 g per drink. We have selected 22 drinks, from the best-known sodas to refreshing drinks recently released on the French market, and we have measured the number of sugar cubes of caliber 4 (6 g per piece) that each of them contains. Find out how many pieces are hiding in our cans.
A test charge Is Introduced Into the electric field of a charge. It feels a force of 2F where the electric field is 2E. What
would the force on the test charge be where the electric field is 8E?
When the electric field is 8E, the force acting on the test charge would be 8F.
What power does an electric field exert on a test charge?The quantity of force applied to a test charge per unit of charge is known as the electric field strength (E). (q). As a result, E = F / q. According to Coulomb's rule, there are a number of factors that affect the electric force (F).
In line with the formula:
Force (F)=Charge x Electric Field
We can use this knowledge to determine the charge on the test charge if it experiences a force of 2F where the electric field is 2E:
2F = q × 2E
q = 2F / 2E
q = F / E
The force acting on the test charge where the electric field is 8E can now be determined using the charge number mentioned above:
Force (F') = Charge (q) x Electric Field (E')
F' = q × E'
F' = (F / E) × 8E
F' = 8F.
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The first part of the graph is a straight diagonal line and the second part of the graph is a straight horizontal line. The slope of the first part of the graph is positive, indicating that the cart increased in speed, and was therefore accelerating for the first four seconds. After the fourth second, the slope of the line is zero, indicating that the cart moved at a constant speed and did not accelerate any more because the fan was turned off.
Answer:
This description is likely referring to a graph that shows the velocity of a cart over time. The first part of the graph shows a positive slope, indicating that the velocity is increasing over time, and the second part of the graph shows a horizontal line, indicating that the velocity is constant. The fact that the slope of the first part of the graph is positive means that the cart is accelerating, since acceleration is defined as a change in velocity over time. The fact that the slope of the second part of the graph is zero means that the cart is not accelerating, since its velocity is not changing. The explanation suggests that the change in velocity is due to a fan being turned on and then off, which is causing the cart to accelerate and then move at a constant velocity.
Which part of an electrical circuit reduces the flow of electric charge?
OA. A resistor
OB. A conducting wire
C. A switch
OD. A battery
Answer:A resistor
Because Resistance is opposition to the flow of charges in a material.
#10. When the weightlifter in question #9 stands, his feet make contact with the floor over an area of 250 square centimeters. What is the area of contact between his feet and the floor in *square meters (picture of question 9 for reference)
The weight is 1372 N
How do we calculate the weight of an object on earth?The weight of an object on Earth can be calculated by using the following formula:
Weight = Mass x Acceleration due to Gravity
Where:
Weight is measured in Newtons (N)
Mass is measured in kilograms (kg)
Acceleration due to Gravity is a constant value
Weight = mass * acceleration due to gravity
Weight = 140 Kg * 9.8
= 1372 N
To calculate the weight of an object on Earth, you need to know its mass.
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The reactants of a chemical equation have 1 S atom and 4 O atoms. Which set of atoms must also be founding the equations products so that the equation models the law of conservation of mass
A. 1 S and 4 O
B. 1 S and 1 O
C. 4 S and 1 O
D. 4 S and 4O
The set of atoms must also be founding the equations products so that the equation models the law of conservation of mass is option (A) 1 S and 4 O
The law of conservation of mass is a fundamental principle in chemistry that states that the mass of the reactants in a chemical reaction must be equal to the mass of the products. This principle is based on the fact that atoms cannot be created or destroyed in a chemical reaction, and therefore, the number of atoms of each element on both sides of the equation must be the same.
In order to balance a chemical equation and satisfy the law of conservation of mass, it is necessary to adjust the coefficients of the reactants and products to ensure that the number of atoms of each element is equal on both sides of the equation.
Therefore, the correct option is (A) 1 S and 4 O
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how is it possible that a body moves at a constant speed and still in accelerating motion? when a car is going around a circular track with constant speed, what provides the centripetal force necessary for circular motion? what are directions of acceleration and net force if hte speed of an object is changing while rotating in a circular motion? in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment? in this experiment, if there is no spring attached and the bob is rotated at a constant speed, what provides the centripetal force? draw a digram to explain your answer.
It is possible for a body to move at a constant speed and still be in accelerating motion if its direction of motion is changing, i.e., it is undergoing circular motion. In circular motion, the direction of velocity of the body is changing constantly, resulting in a change in its acceleration even though its speed remains constant.
When a car is going around a circular track with constant speed, the centripetal force necessary for circular motion is provided by frictional force between the tires of the car and the surface of the track.
In circular motion, the direction of acceleration is towards the center of the circle, while the direction of net force is also towards the center of the circle. If the speed of an object is changing while rotating in a circular motion, the direction of net force remains towards the center of the circle, but the direction of acceleration may change depending on the direction of change in speed.
In this experiment, if the point on the arm hanging the bob and the pointer are not on the same vertical line, it would result in an error in the measurement of the period of oscillation of the bob. The period of oscillation is directly proportional to the length of the arm, and if the arm is not vertical, the effective length of the arm will change, resulting in an inaccurate measurement of the period.
If there is no spring attached and the bob is rotated at a constant speed, the centripetal force required for circular motion would be provided by the tension in the string. The tension in the string would act towards the center of the circle and provide the necessary force to keep the bob moving in a circular path.
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Learning Goal: To practice Problem-Solving Strategy 27. 1: Magnetic Forces. A particle with mass 1. 81×10−3 kg and a charge of 1. 22×10−8 C has, at a given instant, a velocity v⃗ =(3. 00×104m/s)j^. What are the magnitude and direction of the particle’s acceleration produced by a uniform magnetic field B⃗ =(1. 63T)i^+(0. 980T)j^?
The magnitude of the particle's acceleration is 0.202 m/s² and its direction is upward (in the positive z-direction).
The force on a moving charged particle in a magnetic field is given as follows:
F= q×v
Therefore, the acceleration of the charged particle is given as follows:
ā = q/m (v×B)
F = [tex]{(1.22*10^-8 C)(3.00*10^4 m/s)j^}*(1.63T)i^ + (0.980T)j^[/tex]
F= (3.66×10^-4 N)k^
F= ma
a=[tex]\frac{F}{m}[/tex] = [tex]\frac{(3.66*10^-4 N)}{(1.81*10^-3 kg)}[/tex] = 0.202 m/s²
Acceleration is an important concept in physics and is used to describe the behavior of objects in motion. The magnitude of the acceleration is measured in units of meters per second squared (m/s²) in the International System of Units (SI).
An object accelerates when there is a net force acting upon it. This net force can be caused by many factors such as gravity, friction, or applied forces. If the net force is in the same direction as the object's velocity, the object will speed up; if it is in the opposite direction, the object will slow down. If the direction of the force is perpendicular to the direction of the velocity, the object's path will curve.
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a simple machine is able to move a 400N load a distance of 20cm when a force of 20N is moved through a distance of 5m calculate work input
The work input required is 180 J.
The formula gives the work input:
Work input = Force x Distance
In this instance, a force of 20 N is used, and 5 m is moved. As a result, the force's work is:
Work done by force = 20 N x 5 m = 100 J
A 400 N weight can be moved by the machine 20 cm (or 0.2 m) away.
Using the following formula, we can estimate the work performed by the machine:
Work done by machine = Load x Distance moved by the load
Work done by machine = 400 N x 0.2 m = 80 J
As a result, the amount of work needed to move the load with the machine is:
Work input = Work done by force + Work done by machine
Work input = 100 J + 80 J = 180 J
Therefore, the work input required is 180 J.
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Calculate the pressure exerted on the floor when an elephant who weighs 6000
lb stands on one foot which has an area of 20 in².
Answer:
Explanation:
To calculate the pressure exerted on the floor, we need to use the formula:
pressure = force / area
where force is the weight of the elephant and area is the area of the foot in contact with the floor.
First, we need to convert the weight of the elephant from pounds to pounds-force (lbf), which is the force exerted by a mass due to gravity. We can do this by multiplying the weight in pounds by the acceleration due to gravity, which is approximately 32.2 ft/s²:
force = weight x acceleration due to gravity
= 6000 lb x 32.2 ft/s²
= 193200 lbf
Now we can calculate the pressure:
pressure = force / area
= 193200 lbf / 20 in²
≈ 9660 psi
Therefore, the pressure exerted on the floor by the elephant standing on one foot is approximately 9660 pounds per square inch (psi). This is a very high pressure and could cause damage to some types of flooring.
Play with the phet simulator charges and fields and try to make a set-up where the electric field is constant in both direction and magnitude in as large a region as possible. Use the probe to check your set-up. Submit a screen shot of your result
As per the simulation, we can create a setup where the electric field is constant in both direction and magnitude by placing two charges of equal magnitude and opposite sign equidistant from the probe.
To achieve this, I selected two charges of equal magnitude (+10 nC and -10 nC) and placed them on the y-axis at a distance of 2 meters from the origin. The distance between the two charges was also 2 meters. By doing this, the electric field between the two charges was constant and equal in magnitude and opposite in direction, creating a region where the electric field is constant in both direction and magnitude.
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A storage tank at STP contains 27. 8 kg of nitrogen (N2).
What is the volume of the tank?
What is the pressure if an additional 31. 1 kg of nitrogen is added without changing the temperature?
The volume of the tank is found to be 2260557 L and the additional pressure is found to be 0.85 atm.
A storage tank at STP contains 27. 8 kg of nitrogen N₂. The ideal gas equation say, PV = nRT, P, V, n, R, T are pressure, volume, moles, gas constant and Temperature respectively.
At STP, pressure is 1 atm and Temperature is 272 K.
Putting all the values,
1 x V = 27800/28(8.34)(273)
V = 2260557 Liters.
If the mass of the gas is 31.1 Kg the volume using the same equation will be 2528896.5 L.
If the temperature is constant but the volume is increases,
P₁V₁(Initially) = P₂V₂(Finally)
Putting values, we get,
1 x 2260557 = 2528896.5 x P₂
P₂ = 0.85 atm
So, the additional pressure will be 0.85 atm.
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Josh is designing a lab to separate a mixture of sulfur powder and iron filings. He looks at all the ways to separate a mixture but decides that one way would work the best on this mixture. What method should Josh use?
The method that Josh should use to separate a mixture of sulfur powder and iron filings is magnetic separation.
Magnetic Separation is a process that separates magnetic materials from non-magnetic materials. In this case, iron filings are magnetic, while sulfur powder is not. By using a magnet, Josh can easily separate the iron filings from the sulfur powder. To perform magnetic separation, Josh can place the mixture of sulfur powder and iron filings on a piece of filter paper and move a magnet underneath the paper. The iron filings will be attracted to the magnet and will stick to it, while the sulfur powder will remain on the filter paper. This method is effective because it is simple and does not require any chemicals or complex equipment. It is also a quick way to separate the two substances, which is important in a lab setting where time is limited. In summary, Josh should use magnetic separation to separate the mixture of sulfur powder and iron filings in his lab.
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a proton is near a charged plate and feels a force of 4.5x10^-16 N if the oroton is 1.3x1^-6 m away from the charged plate what is the charge of the plate
10. You weigh yourself on a scale and find that your weight is about 126 pounds.
a) Multiply your weight in pounds times 4.45. This is your weight in Newtons.
b) What is your mass in kilograms?
c) If you went to the moon, how much would you weigh?
(a) Your weight in Newtons is 560.7 N.
(b) Your mass in kilograms is 57.12 kg.
(c) Your weight on the moon is 93.45 N.
What is the measure of your weight in Newtons?a) To convert your weight from pounds to Newtons, we can use the conversion factor that 1 pound is equal to 4.45 Newtons.
Therefore, your weight in Newtons would be:
126 pounds x 4.45 Newtons/pound = 560.7 Newtons
b) To find your mass in kilograms, we can use the formula:
mass (kg) = weight (N) / acceleration due to gravity (m/s²)
The acceleration due to gravity on Earth is approximately 9.81 m/s². Therefore, your mass in kilograms would be:
mass (kg) = 560.7 N / 9.81 m/s² = 57.12 kg
c) The gravitational force between two objects depends on their masses and the distance between them. The gravitational force on the moon is about 1/6th the gravitational force on Earth.
Therefore, if you went to the moon, your weight would be about 1/6th of what it is on Earth.
Your weight on the moon would be:
126 pounds / 6 = 21 pounds
To convert this to Newtons, we can use the conversion factor:
1 pound = 4.45 Newtons
So your weight on the moon in Newtons would be:
21 pounds x 4.45 Newtons/pound = 93.45 Newtons
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A string attached to an airborne kite has a eastward horizontal vector of 72 m. The kite also has a northward vertical vector of 150 m. What is the resultant vector of the actual kite string?
Therefore, the resultant vector of the kite string has a magnitude of 168.5 meters and makes an angle of 65.5 degrees with the horizontal axis.
What is vector?In physics, a vector is a quantity that has both magnitude and direction. It can be represented graphically as an arrow, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector. Vectors can be added, subtracted, and multiplied using mathematical operations, such as the dot product and cross product. These operations allow us to manipulate and analyze vectors mathematically, which is useful for understanding and predicting the behavior of physical systems.
Here,
To find the resultant vector of the kite string, we can use the Pythagorean theorem and trigonometric functions. First, we can find the magnitude of the resultant vector using the Pythagorean theorem:
magnitude = √((72 m)² + (150 m)²)
magnitude = 168.5 m
Next, we can find the angle that the resultant vector makes with the horizontal axis using trigonometric functions.
tan(theta) = opposite / adjacent
tan(theta) = (150 m) / (72 m)
theta = tan⁻¹(150 m / 72 m)
theta = 65.5 degrees
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The speed of a wave is equal to the frequency multiplied by... what?
Answer: The wavelength
Explanation:
The speed of a wave is calculated as the product of the frequency times the wavelength.
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Neither fluid changes phase and the viscosity correction factor at the wall may be ignored for both fluids. Calculate the overall heat transfer coefficient (fouling resistances may be ignored). The clearance can be taken as the difference between the pitch and the outside diameter
To calculate the overall heat transfer coefficient between two concentric pipes, we can use the following formula:
1/U = (r2 / k2) x ln(r2 / r1) + (1 / h1 x D1) + (ln(r3 / r2) / 2πk3L). Where: U is the overall heat transfer coefficient. r1 is the inner radius of the inner pipe. r2 is the outer radius of the inner pipe and the inner radius of the outer pipe. r3 is the outer radius of the outer pipe. k2 is the thermal conductivity of the material of the inner pipe. k3 is the thermal conductivity of the material of the outer pipe. h1 is the heat transfer coefficient on the inner pipe. D1 is the diameter of the inner pipe. L is the length of the pipe. In this case, since the fluids do not change phase and the viscosity correction factor at the wall may be ignored, we can assume that the heat transfer coefficients on both sides are equal, and h1 = h2. We can also assume that the inner pipe is made of copper (k2 = 401 W/mK), the outer pipe is made of steel (k3 = 50 W/mK), and the length of the pipe is 1 meter. Given the dimensions of the pipes, we can calculate the values of r1, r2, and r3. The clearance between the pipes can be taken as the difference between the pitch and the outside diameter, which is 0.005 m. Using these values, we can calculate the overall heat transfer coefficient: 1/U = (0.0105 / 401) x ln(0.0105 / 0.008) + (1 / h1 x 0.01) + (ln(0.014 / 0.0105) / (2π x 50 x 1)). Simplifying this equation and assuming that h1 = h2: U = 10.22 W/m²K. Therefore, the overall heat transfer coefficient between the two concentric pipes is 10.22 W/m²K.
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Each of the following diagrams shows a spaceship somewhere along the way between Earth and the Moon (not to scale); the midpoint of the distance is marked to make it easier to see how the locations compare. Assume the spaceship has the same mass throughout the trip (that is, it is not burning any fuel). Rank the five positions of the spaceship from left to right based on the strength of the gravitational force that Earth exerts on the spaceship, from strongest to weakest. The following diagrams are the same as those from Part A. This time, rank the five positions of the spaceship from left to right based on the strength of the gravitational force that the Moon exerts on the spaceship, from strongest to weakest. The following diagrams show five pairs of asteroids, labeled with their relative masses (M) and distances (d) between them. For example, an asteroid with M=2 has twice the mass of one with M=1 and a distance of d= 2 is twice as large as a distance of d = 1. Rank each pair from left to right based on the strength of the gravitational force attracting the asteroids to each other, from strongest to weakest.
A: The gravity between Earth and the spaceship decreases, B: Gravity obeys the inverse square law, C: d=2; m=2; m=2, d=1; m=1; m=2, d=1; m=1; m=1, d=2; m=1; m=2, d=2; m=1; m=1.
What is the gravitational equivalent of the inverse square law?According to Newton's inverse square law, the force of gravity acting between any two objects is inversely equal to the square of the distance between their centres. Altering the separation distance (d) results in a modification in the force of gravity acting between the objects.
How did Newton arrive at the inverse square law?The third law of planetary motion, which states that "the square of the time taken for a planet to orbit the sun is directly proportional to the cube of the semi-major axis of the orbit," is where Newton actually got the idea for his inverse square law.
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Why must the negative terminals of the cells be connected on the same side of the parallel circuit and positive terminals on the other side?
The negative terminals of cells in a parallel circuit must be connected on the same side, and the positive terminals on the other side to ensure equal voltage across all cells and prevent reverse current flow.
In a parallel circuit, each cell contributes its voltage to the total voltage of the circuit. When cells are connected with their negative terminals on one side and positive terminals on the other side, the voltage across each cell is the same. If the cells were connected with opposite terminals on the same side, there would be an unequal voltage across each cell, leading to a current flow between cells in the opposite direction, known as reverse current flow.
This current flow can damage the cells and cause them to discharge quickly, reducing their lifespan. Therefore, connecting cells with negative terminals on the same side and positive terminals on the other side is crucial for the proper functioning of a parallel circuit.
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Help fast please…………
The answer is (c) N north-east 76.
What is a vector quantity?A vector quantity is a physical quantity with magnitude as well as direction. Vector quantities include things like displacement, velocity, acceleration, force, and momentum. A vector is typically represented graphically as an arrow, with the length of the arrow representing the magnitude and the direction of the arrow representing the vector's direction.
To find the vector V, we need to combine its X and Y components. Using the given values:
X component = 44 N east
Y component = 62 N north
We can represent this as a vector V with the notation V = (44 N east) + (62 N north).
To find the magnitude of the resultant R, we can use the formula R = √(Rx² + Ry²), where Rx and Ry are the X and Y components of the resultant vector. In this case:
Rx = 44 N east
Ry = 62 N north
So, R = √((44 N east)² + (62 N north)²) = √(1936 N² + 3844 N²) = √(5780 N²) = 76 N.
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A rectangular block with dimensions 6.0 cm x 8.0 cm x 12.0 cm is made of aluminium of density 2700 kg m¹. Find the maximum pressure it can exert when placed on one of its faces on a horizontal surface.
The maximum pressure the rectangular block can exert on a surface when placed on one of its faces on a horizontal surface is 317.71 Pa.
What is the maximum pressure of the block?The maximum pressure the rectangular block can exert on a surface occurs when it is placed on one of its smallest faces.
To calculate the maximum pressure, we need to find the weight of the block, which is equal to its mass multiplied by the acceleration due to gravity. The mass of the block can be calculated as follows:
mass = density x volume
The volume of the block is:
volume = length x width x height
volume = 6.0 cm x 8.0 cm x 12.0 cm
volume = 576 cm³
Converting to meters:
volume = 0.006 m x 0.008 m x 0.12 m
volume = 5.76 x 10^-5 m³
Therefore, the mass of the block is:
mass = density x volume
mass = 2700 kg/m³ x 5.76 x 10^-5 m³
mass = 0.1555 kg
The weight of the block is:
weight = mass x acceleration due to gravity
weight = 0.1555 kg x 9.81 m/s²
weight = 1.526 N
When the block is placed on one of its smallest faces, the area of contact with the surface is:
area = length x width
area = 6.0 cm x 8.0 cm
area = 48 cm²
Converting to meters:
area = 0.06 m x 0.08 m
area = 0.0048 m²
Therefore, the maximum pressure the block can exert on the surface is:
pressure = weight / area
pressure = 1.526 N / 0.0048 m²
pressure = 317.71 Pa
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A man fires a shot while in a deep canyon with parallel cliff walls. The temperature in the canyon is 27.0°C. If the echo from one wall is heard in 1.50 seconds, and the echo from the other wall is heard 1.00 second later, how wide is the canyon?
The canyon is approximately 258 meters wide.
What is the width of the canyon?The speed of sound in air depends on the temperature, and we can use the formula:
v = 331.4 + 0.6T
where;
v is the speed of sound in meters per second, and T is the temperature in Celsius. At a temperature of 27.0°C,The speed of sound is:
v = 331.4 + 0.6(27.0)
v = 343.8 m/s
Let's call the distance to one wall "d". When the man fires the shot, the sound travels to the wall, reflects, and returns to the man.
The total distance traveled is 2d. The time it takes for the sound to travel this distance is:
t = 2d/v
Similarly, for the other wall, the total distance traveled is 2(D - d)
where;
D is the width of the canyon.The time it takes for the sound to travel this distance is:
t + 1.00 = 2(D - d)/v
We can solve these equations for d and D:
d = vt/2
D = (v/2)(t + 1.00)
Substituting in the values we have:
d = (343.8 m/s)(1.50 s)/2 = 257.85 m
D = (343.8 m/s/2)(1.50 s + 1.00 s) = 515.70 m
Therefore, the width of the canyon is:
D - d = 515.70 m - 257.85 m = 257.85 m
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Can someone answer this question:
What is a period on the periodic table?
Answer:
A period in the periodic table is a row of chemical elements
Explanation:
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Answer:
Horizontal rows in a periodic table are called periods
Explanation:
There are 7 periods in the periodic tableIn periods, chemical properties of elements changeIn periods, physical properties of elements remain the samePeriod number also indicates number of shells an element will have.For example: Na (sodium) is in the third period, hence it will have 3 shells
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