Answer in N-units. With their centers of mass 3.3 m apart vertically, a light, inextensible cable initially travels over a light, friction pulley with such a radius of 13 cm. .
The gravitational acceleration is 9.8 m/s 2. How quickly do the two masses accelerate when they pass one another?
At 1.2 m/s2, an elevator increases in speed.
Gravity accelerates at a rate of 9.8 m/s2.
What is the forward force that the elevator floor applies to a passenger weighing 86 kg
Answer in N-units.
when there is an upward acceleration in the elevator?
Take into account the usual force the elevator would exert on you: N = mg while the elevator is stationary or travelling at a constant speed. If the elevator is moving upward, N = mg + ma. If the elevator is accelerating downward, N = mg - ma.
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the same force is applied to two skateboards one rolls across the room and the other moves a few feet and comes to stop where was more work done
the skateboard that travel disorder distant shows more work because there was more resistance
The skateboard that moves a greater distance will have done more work than the one that moves a smaller distance.
Work is defined as the amount of energy required to move an object over a certain distance, and it is calculated by multiplying the force applied to the object by the distance over which the force is applied.
In this case, if the same force is applied to two skateboards, the skateboard that rolls across the room will have done more work than the other one that moves a few feet and comes to stop.
This is because the work done is directly proportional to the distance over which the force is applied, the skateboard that moves a greater distance will have done more work than the one that moves a smaller distance.
Note that work is a scalar quantity and not a vector one, it means that work can be positive or negative but the direction is not important, also the force applied and the distance over which the force is applied must be in the same direction.
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Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is.
Let r be the ratio R1/R2R1/R2. Find r.
When two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0, the ratio r = R1/R2 is 0.127
Given the resistance of first resistor = R1
The resistance of second resistor = R2
The voltage of source = V0
The resistors are connected in series then current through it = Is.
We know that from Ohm's law V = IR where I is current.
If resistors are connected in series then Req = R1 + R2
Then V0 = Is(Req) = Is(R1+R2)
When resistors are connected in parallel current through it = Ip.
Similarly equivalent resistance of resistors connected in parallel = Req'
1/Req' = 1/R1 + 1/R2
Then 1/Req' = R1 + R2/R1R2
Req' = R1R2/R1 + R2
Therefore V0 = Ip(R1R2/R1 + R2)
From the above equations we see that as voltages remain same,
Is(R1+R2) = Ip(R1R2/R1 + R2)
Given the current Ip = 10Is. Then
Is(R1+R2) = 10Is(R1R2/R1 + R2)
(R1+R2)^2 = 10R1R2
R1^2 + R2^2 = 8R1R2
Divide LHS and RHS by R2^2 such that
8R1/R2 = (R1/R2)^2 + 1 given r = R1/R2 by substitution we get
8r = r^2+1. So, r = 0.127 (R2>R1)
Hence the required ratio of R1/R2 = 0.127
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a 0.40 kg object hangs at the end of a 0.50 m string. it is then rotated in a vertical circle. the angular speed of the object is 8 rad/s as it passes the bottom of the circular path. find is the tension in the string at this point.
If the object hangs at the end of a 0.50 m string and is rotated in vertical circle, the string will experience 16.7 N of tension.
In physics, what does tension mean?Tension is the force that is sent through a rope, thread, or wires as two opposing forces pull on it. The tension force pulls energies evenly just on bodies at the ends and is applied along the entire length of the wire.
Is tension the same as force?A force known as tension is connected to the tugging of an object like a cable, cable, or chain. It resembles elastic potential energy a lot. When a thing is extended out and placed under tension, as soon as that force is removed, this will automatically return towards its relaxed length.
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g is the temperature of a metal rod measured in at a distance x inch from one end of the rod, then the units of measure of the derivative are
The units of measure of the derivative of g with respect to x (dg/dx) would be units of temperature per inch (e.g. °F/inch or °C/inch).
The derivative of a function is a measure of how the function is changing with respect to its independent variable. In this case, g represents the temperature of a metal rod, and x is the distance from one end of the rod.
Therefore, the derivative of g with respect to x (dg/dx) gives us the rate at which the temperature is changing with respect to distance.
The units of measure for the derivative will be the units of the dependent variable (temperature) divided by the units of the independent variable (distance).
For example, if g is measured in degrees Celsius and x is measured in inches, then the derivative dg/dx would have units of degree Celsius per inch (°C/inch).
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A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown.
It will take Robert half and hour to complete one mile stretch on the path.
It is provided that Robert is riding the bike in such a manner that he is forming three semicircle in the 40 feet wide road.
He is going at a speed of 5 miles per hour.
The time that he will tale to cover one mile can be given by,
Time = distance/speed
Distance = 3(2πR) -----[Because there are three semicircles]
R is the radius of the semicircle and that is 0.0075 miles.
Now, the speed is given to be 5 miles per hour so the time will be,
Time = 0.0075/5
Time = 0.0015 hours.
It is to cover the whole path, now, for one mile,
0.0015 hour = 0.0075 miles
1 mile = 0.0015/0.0075
1 mile = 0.2 hour.
So, Robert will take about half an hour.
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Complete question- On A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at 5miles per hour, how many hours will it take to cover the one-mile stretch?
One model of tennis ball launcher has advertised that it is capable of imparting 14,000j of kinetic energy to a 0.4kg ball initially at rest. a student carefully measures the compression of the spring to be 0.15m. what is the spring constant for the spring?
The spring constant (k) can be calculated using the equation k=F/x, where F is the force and x is the compression of the spring.
What is spring constant?Spring constant, also known as rate, is a measure of the amount of force needed to extend or compress a spring by a certain distance. The spring constant is defined as the ratio of the force applied to the spring, divided by the displacement of the spring. To calculate the spring constant, the force applied to the spring is divided by the displacement of the spring. The units of the spring constant are Newton per meter (N/m). The spring constant can be used to calculate the amount of force exerted by a spring when it is compressed or stretched. For example, when a spring with a spring constant of 5 N/m is stretched by 1 meter, it will exert a force of 5 Newtons.
In this case, F is equal to the kinetic energy (14,000J) and x is equal to the compression (0.15m). Therefore, the spring constant is equal to 14,000J/0.15m = 93,333N/m.
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The spring constant (k) can be calculated using the equation k = F/x, where F is the force and x is the compression of the spring. 93,333 N/m is the spring constant for the spring.
What is spring constant?Spring constant, also known as rate, is a measure of the amount of force needed to extend or compress a spring by a certain distance. The spring constant is defined as the ratio of the force applied to the spring, divided by the displacement of the spring. To calculate the spring constant, the force applied to the spring is divided by the displacement of the spring. The units of the spring constant are Newton per meter (N/m). The spring constant can be used to calculate the amount of force exerted by a spring when it is compressed or stretched. For example, when a spring with a spring constant of 5 N/m is stretched by 1 meter, it will exert a force of 5 Newtons.
In this case, F is equal to the kinetic energy (14,000J) and x is equal to the compression (0.15m).
Therefore, the spring constant is equal to 14,000J / 0.15m
Spring constant = 93,333 N/m.
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Four identical charges Q are placed at the corners of a square of side L. (a) In a free-body diagram, show all of the forces that act on one of the charges. (b) Find the magnitude and direction of the total force exerted on one charge by the other three charges.
The total force has a magnitude of 3Q/L2 and a direction of 45° with respect to the x-axis.
What is mangitude?Magnitude is a measure of the size or intensity of something. It is most commonly used to describe the brightness of a star or the intensity of an earthquake. Magnitude is related to the logarithm of the ratio of two quantities, such as the ratio of the observed flux of a star to that of a reference star. Magnitude is also used to describe the size of a physical quantity, such as the magnitude of a vector, or the magnitude of an electric current.
In a free-body diagram for one of the charges, the four forces that would act on the charge include the electrostatic force exerted by each of the other three charges, as well as the gravitational force exerted by the Earth. Each of the electrostatic forces will be equal in magnitude and opposite in direction, while the gravitational force will point straight down.
(b) The total electrostatic force exerted on one charge by the other three is the vector sum of the individual forces. The magnitude of this force is 3Q/L2, pointing away from the center of the square. The direction of this force can be found using the law of cosines, with the angle being cos-1(L/√2L). This angle is 45° with respect to the x-axis. Therefore, the total force has a magnitude of 3Q/L2 and a direction of 45° with respect to the x-axis.
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Direction of the total force exerted on one charge by the other three charges is 3 × k × Q² / L².
What do you mean by charge?In physics, charge is a fundamental property of matter that describes the interaction between particles and electromagnetic fields. Due to its scalar nature, it has simply magnitude and no direction. There are two types of charge: positive and negative. Opposite charges attract each other, while like charges repel each other. The charge of an electron, which is the The Coulomb is the unit of charge (C), fundamental unit of charge in the atomic world, is -1.6 x 10^-19 Coulombs.. The protons and electrons carry charge, with protons having a positive charge and Atoms, which are the building blocks of all matter, are composed of protons, neutrons, and electrons having a negative charge.
(a) In a free-body diagram, the forces that act on one of the charges would be the electrostatic force exerted by the other three charges. The direction of these forces would be towards or away from the other charges, depending on the charge of the other charges and the distance between them.
(b) To find the magnitude and direction of the total force exerted on one charge by the other three charges, we need to use Coulomb's law. Coulomb's law states that the electrostatic force between two charges is given by:
F = k × |q¹×q²| / r²
where k is the Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
In this case, the charges are identical, and the distance between the charges is L, so the magnitude of the force on one charge would be:
F = 3 × k × Q² / L²
The direction of the force is towards the center of square, where the net force is zero.
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a long chraged wire gives rise to an electric field of 20 n/c at a distance d. in terms of d, what distance is needed for an electric field of 5 n/c
The electrical force per unit of charge is referred to as an electric field. It is stated as follows: E = F / Q. E represents the strength of the electric field. The charge "Q" is subject to force "F.". The charge is Q. Differences in the
Describe variation.
Variation definition 1 a: the procedure or act of changing the fact or state of being different B: An illustration of variation c: the degree or range to which something varies
How are differences categorized?
As length varies in human populations, variations are either continuous or numeric (smoothly graded between two extreme values, with the majority of people at the center), or discontinuous or subjective (composed of well-defined categories, as blood groups vary in human populations).
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Consider the two cases shown. In both cases a central charge q has two charges of equal magnitude at equal distances above and below it. In case 1 the signs of the two outer charges is opposite, and in case 2 they are both positive. You are not told the sign of the charge in the center q.
The magnitude of net force mostly on central charge is greater in case 1 than case 2, according to the supplied statement.
What is the physics magnitude?Magnitude is a term used in physics to describe an object's maximal size and direction. Vector and Scalar quantities both utilise magnitude as a common factor. The size of anything is its magnitude. For instance, a car is travelling more quickly than a bike in terms of speed. The speed difference between the automobile and the bike in this case is greater. It reveals the absolute or relative size or direction that an item moves when in motion.
In scenario 1, the field lines of the two charges will face the same direction.
Case 1 will have downward-pointing field lines caused by negative charge and downward-facing field lines caused by positive charge. net Electric field is equal to E+E at 2E and F at 2qE.
However, in this scenario, there will be two opposing field lines caused by the two charges.
E-E = 0 F = 0 Net electric field
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The complete question is-
Consider the two cases shown below. In both cases a central charge q has two charges of equal magnitude at equal distances above and below it. In Case 1 the signs of the two outer charges is opposite, and in Case 2 they are both positive. You are not told the sign of the charge in the center q.
Question: In which Case is the magnitude of the net force on the center charge bigger?
a). Case 1
b). Case 2
c). They are the same
d). The answer depends on the sign of the charge in the center q
ap physics An object vibrating at the end of a horizontal spring is described by the position equation:
The x=Acos(ωt+φ) The equation describes the position of an object vibrating at the end of a horizontal spring.
What is horizontal spring?Horizontal spring is a type of spring that is designed to move in a horizontal plane. It is typically used in applications that require a consistent force to be applied in a horizontal direction, such as in a suspension system. The spring's design allows it to absorb shock and reduce vibration, making it an ideal choice for applications that require a smooth, consistent motion. Depending on the type of spring, it may be able to handle varying amounts of tension, allowing for a wide range of applications. Horizontal springs can be made of various materials, such as steel, rubber, and plastic, and are designed to resist corrosion and wear. They are also used in a number of industries, including automotive, aerospace, and medical.
The equation has three variables: A, ω, and φ. A is the amplitude, which is the maximum displacement of the object from its equilibrium position. ω is the angular frequency, which is the number of radians the object moves per second. φ is the phase shift, which is the difference in time between when the object is at the equilibrium position and when it is at the maximum displacement.
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(d) 10 s
13. An object in motion has a displacement of +50 m. The average velocity is +25 m/s. Whats the time taken
The time taken to travel 50 m ina 25 m/s average velocity is 2 sec.
What is Velocity?The directional speed of an item in motion, as measured by a specific unit of time and viewed from a certain point of reference, is what is referred to as velocity.
An object's position changes if it moves in relation to a reference frame, such as when a passenger travels to the back of an airliner or a lecturer moves to the right in relation to a whiteboard. Displacement describes this shift in location.
When anything moves in connection to a reference frame, such when a passenger moves to the back of an airplane or a lecturer walks to the right in relation to a whiteboard, the location of the item changes. This locational change is described as displacement.
The displacement is = 50 m
The average velocity = 25 m /sec
The time taken is = displacement/ average Velocity = 50/25 = 2 sec.
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a uniform density block floats in water with 15% of its volume above the water surface. what is the density of the block?
The density of block equates to the density of water = 1000 kg/m³ (at 4°C).
What is buoyancy?The buoyant force is an upward directed force that acts on any object when it is submerged either partially or completely inside a static fluid. A body is able to float on the surface of fluid because of the buoyant force acting on the object, which tends to balance the weight of the object. The density of the block can be found using the equation of buoyancy: density of block = density of water × (volume submerged / volume of block). Since 15% of the block's volume is above the water surface, 85% of the block's volume is submerged. Therefore, the density of the block is equal to the density of water.
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Answer: 850 kg/m^3
Explanation: The density of water is known as 1000 kg/m^3. In the problem, we know that the block floats and 15% of the block's volume is above water. From this, we can deduce that 85% of the block's volume is below the water, so the density of the block is 85% of the density of water:
p(water) = 1000
p(block) = 1000(.85) = 850 kg/m^3
A force of magnitude 7.50 N pushes three boxes with masses m1=1.30kg,m2=3.20kg, and m3=4.90kg, as shown in the figure(Figure 1) . a. What is the contact force between box 1 and 2 b. What is the contact force between box 2 and 3
(a) The contact force between boxes 1 and 2 is 1.03 N. (b) The contact force between boxes 2 and 3 is 3.58 N.
Given:
Masses, m₁ = 1.3 kg, m₂ = 3.2 kg , and m₃ = 4.9 kg
Force, F = 7.50 N
(a)
The acceleration is given by:
F = ma
a = F/(m₁+m₂+m₃)
a = 7.5/(1.3+3.2+4.9)
a = 0.797 m/s²
The force is:
F₁ = 1.3a = 1.3×0.797 = 1.03 N
Hence, the contact force between boxes 1 and 2 is 1.03 N.
b)
The force is:
F₂ = (m₁ + m₂)a
F₂ = (1.3+3.2)a =
F₂ = 4.×0.797
F₂ = 3.58 N
Hence, the contact force between boxes 2 and 3 is 3.58 N.
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chris is living aboard the iss and wants to heat up some chicken parmesan to a safe temperature for consumption. what device is generally included on spacecrafts to allow this type of activity to occur?
The device used to heat up food to a safe temperature for consumption in spacecrafts and ISS is called a thermal oven.
Thermal ovens are typically used to heat food on spacecrafts like the International Space Station (ISS). These ovens use a heating element to raise the temperature of the food to a safe level for consumption. The ovens on the ISS are specifically designed to work in the microgravity environment, which means they have to be able to function in the absence of gravity.
They often use convection heating to circulate hot air around the food, which helps to ensure that the food is heated evenly. Additionally, the ISS also has a refrigerator and a freezer to store food. The refrigerator keeps the food at a temperature of around 4 °C and the freezer at around -20°C, this is to help preserve the food for longer periods.
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A 10,000 kg railroad car is rolling 2.00 m/s when a 4000 kg load of gravel is suddenly dropped in. What is the car's speed just after the gravel is loaded?
The speed of the railroad car just after the gravel is loaded into the railroad car is 1.42m/s.
According to the law of conservation of momentum, the momentum should remain always constant in such condition where there is no external force.
So,
Initial momentum = final momentum
MV = mv
M is the mass of the railroad rolling,
V is the initial rolling speed.
m is the mass after the 4000 kg gravel is suddenly dropped,
v is the speed just after the loading.
Putting values,
10000 x 2 = 14000 x v
v = 1.42m/s.
So, the speed of the railroad car will be 1.42m/s.
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What variable is inversely proportional to electrostatic force?
*k
*q1
*r
*mass
According to the question, The electrostatic force is inversely related to the square of the separation distance.
Electrostatic force, where is it?Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.
Why do electrostatic forces exist?Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.
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If the contraction of the left ventricle lasts 250 ms and the speed of blood flow in the aorta (the large artery leaving the heart) is 0.82 m/s at the end of the contraction, what is the average acceleration of a red blood cell as it leaves the heart? a. 250 m/s b. 0.82 m/s2 c. 0.21 m/s d. 3.3 m/s2
The contraction time of the left ventricle of the heart is t = 250 ms =250×10^−3 s
The rate of flow (or velocity) of the blood in the aorta is V = 0.82m/s
The average acceleration of a red blood cell as it leaves the heart is computed as a = Vt = 0.82 / 250×10^−3s = 3.3 m/s2
Hence, the average acceleration of a red blood cell is 3.3 meters per second squared.
How fast is RBC?The average capillary diameter was approximately 6.2 microns, and the average velocity of RBC was about 1.85 mm/s.
How many haemoglobins are present in one RBC?Approximately 25 trillion red blood cells (RBCs) circulate in the bloodstream of an adult individual, each one packed with ~260 million haemoglobin molecules.
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An air pistol fires a pellet forwards.
What is the motion of the air pistol?
A - The air pistol moves backwards with speed greater than the pellet.
B - The air pistol moves backwards with speed less than the pellet.
C - The air pistol moves forward with speed greater than the pellet.
D - The air pistol moves forward with speed less than the pellet.
The air pistol is moving backwards faster than the pellet. Subtract that stronger force's amplitude from the weaker department's magnitude to discover the centripetal acceleration.
What are a definition and an example of motion?Motion can be characterized as a shift in an object's location with regard to time. Motion can be heard in a variety of sounds, such a book falling off a table, water running from a faucet, rattling windows, etc. There is motion even in the air we breathe!
What generates motion?Motion is the result of forces You need to exert a push or a pull, which is by definition a force, in order to move something. The object will be static or continue going without accelerating in the absence of a force.
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Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m, what i the gravitational energy of 1kg ma at the moon' urface. Auming R= 6. 4X10^6
The acceleration due to gravity on the surface of the moon is 1.620 ms
2 . if Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime.
Who found gravity in India?Rajasthan Education Minister Vasudev Devnani has said that Brahmagupta-II discovered the law of gravity before Isaac Newton. Speaking at a programme at Rajasthan University here on Monday, he asserted that Brahmagupta-II came up with the gravitation law a thousand years ago.
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Using the figure:A) What is the work done by the electric force to move a 1 C charge from A to B?B) What is the work done by the electric force to move a 1 C charge from A to D?C)The magnitude of the electric field at point C is:greater than the magnitude of the electric field at point B.less than the magnitude of the electric field at point B.equal to the magnitude of the electric field at point B.unknown because the value of the electric potential at point C is unknown.
A) Work=change in V x Q
so W=0x1=0J
B)
W=1x1=1J
C) Greater than the magnitude of the electric field at point B
Equal quantities of labor are required to move a specific charge from one neighboring surface to the next since the diagram displays equal potential differences between adjacent surfaces. The electric force performs the same amount of work in a smaller displacement when the equipotential are closer together than when they are farther away. As a result, point B has a smaller magnitude than the electric force and the accompanying electric field.
A physical field called an electric field surrounds electrically charged particles and attracts or repels all other charged particles nearby. It can also refer to the physical field surrounding a system of charged particles.
Question)- Using the figure: A) What is the work done by the electric force to move a 1 C charge from A to B?B) What is the work done by the electric force to move a 1 C charge from A to D?
C) The magnitude of the electric field at point C is:
greater than the magnitude of the electric field at point B.
less than the magnitude of the electric field at point B.
equal to the magnitude of the electric field at point B.
unknown because the value of the electric potential at point C is unknown.
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the human ear canal is about 2.8 cm long. if it is regarded as a tube that is open at one end and closed at the eardrum, what is the fundamental frequency around which we would expect hearing to be most sensitive? take the speed of sound to be 340 m/s.
So a tube that is open on one end will resonant at a wavelength that is one-fourth of its fundamental frequency. By multiplying 4 by 0.028 m, yielding 0.112 m, we get the wavelength.
Which frequencies are basic and harmonic?Fundamentals are the lowest frequency sound waves produced by an instrument. Harmonics are secondary waves that an instrument produces at various frequencies.
How is the fundamental frequency calculated?Hertz (Hz) and cycles per second are two possible units of measurement (cps). While during discussion, the average fundamental frequency for males is between 100 and 150 Hz and between 180 and 250 Hz for females.
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two objects attract each other with a gravitational force of magnitude 9.90 10-9 n when separated by 19.5 cm. if the total mass of the objects is 5.05 kg, what is the mass of each?
The total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.
What is mass ?
Determining inertia, a non-changeable feature of all objects. The main characteristic of a body of matter is the resistance it offers to a force-induced change in its speed or location.
What is magnitude ?
In simple terms, magnitude is "distance or quantity." It shows the size or motion of an object, either in terms of absolute size or relative motion. It is a method for describing a phenomenon's size or range. In physics, the term magnitude is frequently used to describe a length or size.
The concept required to solve this problem is the expression for gravitational force.
Initially, obtain the quadratic expression for the mass of the object by using the expression for gravitational force.
Finally, calculate the mass of the each object using the expression for the mass of the object.
The gravitational force is given by, F= G m₁m₂/ r²
Here, G is the universal gravitational constant,
r is the distance between the two objects and
m₁m₂ are the masses of the two objects.
The expression for the mass of the object is given as follows:
(5.02 kg - m₁) for m₂ in the equation F= G m₁m₂/ r²
G = m₁ (5.02 kg - m₁) / r²
Fr² / G = m₁ (5.02 kg - m₁)
m²₁= - (5.02 kg - m₁) + Fr² / G = 0
The sum of the two masses is given by,
m₁+m₂= 5.02 kg
m₂= 5.02 kg-m₁
Calculate the mass of the each object as follows:
Consider force as 9.80 * 10 ⁻⁹ N
m₁= 3.35 Kg
m₂= 1.67 Kg
Therefore, the total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.
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the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. the idea that two or more forces combined create an effect that is greater than the sum of their individual effects is called syncretism. false true
The following statement is false. According to the theory of synergy, when two or more elements interact, the overall effect is greater than the sum of a individual effects.
Explain force.The push and pull on a massed item alters its velocity, which is the definition of force. An agent the with power to alter a body's rest or mobile condition is known as an external force. It has a magnitude and direction.
What is the force unit in the SI?The SI unit of force is the newton, denoted by the letter N. The following basic units are relevant to force: The symbol for a metre is m, while for a kilogram, that represents mass, it is kg. The second, or s, is a unit.
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an object is 1.0 cm tall and its inverted image is 3.0 cm tall. what is the exact magnification?
The exact magnification of the object which is 1cm tall and its inverted image is 3cm tall, is -3.0.
What is magnification?The magnification of an image is the ratio of the height of the image to the height of the object. To find the exact magnification of the image in this case, we can use the formula:
Magnification = Image height / Object height
Placing in the given values, we get:
Magnification = 3.0 cm / 1.0 cm = 3.0
So the exact magnification of the image is 3.0, meaning that the image is 3 times taller than the object. It's important to note that, if the image is inverted, the sign of the magnification will be negative. In this case the image is inverted, so the magnification is -3.0.
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Lily whose mass is 45 kg is ice skating with a constant speed of 7 m/s when she hits the room at speed 8
It will take 8.9 seconds before Lilly coasts to a stop.
What is the friction coefficient telling us?A measure of the degree of friction between two surfaces is the coefficient of friction. A coefficient of friction is determined by calculating the resistance to motion at the intersection of two surfaces made of the same or different materials.
In the question we are given,
Mass, m = 45 kg
initial speed, u = 7 m/s
final speed, v = 0
coefficient of friction, μ = 0.08
Now, friction force can be calculated by
F = Normal force × μ
F = mg×μ
F = 45×9.8×0.08
F = 35.2 N
since the net force is the frictional force we can calculate the deceleration,
F = ma
35.2 = 45a
a = 35.2/45 = 0.78 m/s²
by applying equation of motion,
v = u + at
0 = 7 - 0.78t
7 = 0.78t
t = 8.9 s
It will take 8.9 seconds before Lilly coasts to a stop.
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The complete question is;
Lilly, whos mass is 45.0 kg, is ice skating with a constant speed of 7.00 m/s when she hits a rough patch of ice with a coefficient of friction of 0.0800. How long will it take before Lilly coasts to a stop?
explain in your own words why people get confused by formulas: such as those for kinetic energy and for capital.
There are several reasons why the average person is perplexed by the formula. First and foremost, the majority of the population indicates a scientific basis that can be determined using any formula. In fact, there are several causes for this confusion.
What is a formula?A formula is a mathematically represented fact or rule. With an equal sign, it usually connects two or more quantities. When you know the value of one quantity, you can use the formula to calculate the value of the other. It aids in quickly answering questions. Formulas are used in algebra, geometry, and other subjects to simplify the process of reaching an answer and saving time.
Geometry is a branch of mathematics concerned with object shapes, sizes, space occupied, and relative position. In geometry, formulas are used to calculate the dimensions, perimeter, area, surface area, volume, and other properties of various shapes.
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The efficiency of a gasoline engine is 0.25 if a car is able to generate 7 j of work per cycle, how much energy is added to the system as heat?
The energy is added to the system as heat is 28 J/s. if the efficiency of a gasoline engine is 0.25 if a car is able to generate 7 j of work per cycle.
What is a energy in science?The description of energy as even the "power to do work" refers to the capacity to exert a motion that induces an object to move. Even if energy is only the driving force behind things, its meaning is clear despite the definition's ambiguity.
According to the question the total heat input per second from the gasoline
Heat input/s = Work/s / Efficiency
= 7 J/s / 0.25
= 28 J/s
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A voltmeter around a resitor in a ciruit reads 4V and the resistor has a resistance of 6 Ω. What is th current in this circuit in amperes?
The current in this circuit in amperes is 0.67 Amperes.
What is the current in this circuit in amperes?The current in this circuit in amperes is calculated by applying Ohm's law as shown below;
Mathematically, the formula for ohm's law is given as;
V = IR
where;
I is the current in the circuitR is the resistance of the circuitI = ( V ) / ( R )
The current in this circuit in amperes is calculated as;
I = ( 4 V ) / ( 6 Ω )
I = 0.67 A
Thus, the current is a function of voltage and resistance of the circuit.
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True or false. Increasing the mass attached to a spring will decrease the period of its vibrations. Thank you!
False. Increasing the mass attached to a spring will decrease the period of its vibrations.
what is vibrations ?
Vibrations are oscillations in physical systems that happen in the form of kinetic energy being transferred from one point to another. They are caused by a variety of factors, including sound waves, mechanical forces, and electrical currents. Vibrations can produce both audible and inaudible sound, and can be felt as a physical sensation.
Vibrations travel through materials and can be measured using a variety of devices such as accelerometers and vibration meters. In machines and structures, vibrations can indicate the level of stress or strain on components and are used to monitor the health and performance of the system. Vibrations can cause unwanted noise and wear on components, and can be prevented by damping or isolation.
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a car is traveling at a steady speed of 75 m/s and its velocity changes to 95 m/s in 10 s. what is its acceleration?
The acceleration of the car which is traveling at a steady speed of 75 m/s and its velocity changes to 95 m/s in 10 s is 2m/s2.
Given data as per the question is:
Initial velocity (u) as per the question is 75 m/s.
Final velocity (v) as per the question is 95 m/s.
Time given is 10s.
The formula to be used in the question is v=u+at
Substituting the value in the question.
95=75+(a)(10)
20=10a
a=2 m/s2
The acceleration of the car is 2 m/s2.
Acceleration is the term used in mechanics to describe the pace at which the velocity of an object varies over time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.
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