The change in enthalpy is 0 J/kg if the incompressible substance with a density of 1000 kg/m3 is isothermally compressed from 100 to 1000 kpa. Thus, option b is correct.
The given data is as follows:
The density of substance = 1000 kg/m3
In-compression pressure = 100 to 1000 kph
The given substance is incompressible. So its specific volume stays constant during the process. The work done is Zero.
Assuming that the process is Isothermal, the temperature remains steady.
The change in enthalpy is calculated by using the formula:
ΔH = m × C × ΔT
The density of mass is calculated by using the formula,
m = V × ρ = 1 m3 × 1000 kg/m3
m = 1000 kg
Change in enthalpy is calculated as:
ΔH = m × C × ΔT
ΔH = 1000 kg × 0 J/(kg·K) × 0 K
ΔH = 0 J/kg
Therefore we can conclude that the change in enthalpy is 0 J/kg.
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The complete question is-
an incompressible substance with a density of 1000 kg/m3 is isothermally compressed from 100 to 1000 kph. determine the change in enthalpy. multiple choice questions.
a.900 kj/kg
b. 0 kj/kg
c.10 kj/kg
d.0.9 kj/kg
what magnitude force is required to give a helicopter of mass m an acceleration of 0.10g upward? express your answer in terms of the variable m and appropriate constants.
Magnitude of the force required to give the helicopter an acceleration of 0.10g upward is 0.981m N, where m is the mass of the helicopter in kilograms.
What is force?Physical quantity which causes or tends to cause a motion in any object at rest or changes or tends to change the direction of motion of a moving object or shape or size of object is called force.
Force required to give a helicopter of mass m an acceleration of 0.10g upward can be calculated using Newton's second law. Here, the acceleration is 0.10g, which can be expressed as:
a = 0.10g = 0.10 * 9.81 m/s² = 0.981 m/s²
F = ma
F = m * 0.981
Therefore, magnitude of the force required to give the helicopter an acceleration of 0.10g upward is 0.981m N, where m is the mass of the helicopter in kilograms.
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the earth is approximately 8000 miles in diameter. i'm riding in a hot air balloon 1.5 miles above the surface of the earth. approximately how far away is the horizon?
The horizon is approximately 3,474 miles away when viewed from 1.5 miles above the surface of the Earth.
Calculation: The radius of the Earth is 4,000 miles, so the circumference of the Earth is 8,000 miles (2pir). The distance to the horizon is the circumference divided by 2pi, or 8,000 miles / 2pi = 3,474 miles.
The horizon is approximately 1.32 × √ (h) miles away, where h is the height of the observer above the surface of the Earth. Given the Earth's diameter, an observer in a hot air balloon at 1.5 miles above the surface of the Earth would be approximately 1.32 × √ (1.5) miles from the horizon.
The calculation is done as follows.1.32 × √ (1.5) miles= 1.32 × √ (1.5) miles = 1.32 × 1.22 miles= 1.61 miles So, an observer in a hot air balloon 1.5 miles above the surface of the Earth would be approximately 1.61 miles away from the horizon.
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what is the second law of thermodynamics and why does it effect the efficiency of energy conversion?
The second law of thermodynamics states that energy spontaneously flows from high-temperature objects to low-temperature objects until the temperatures are balanced or equal.
The energy quality is reduced when energy changes from one form to another, making it difficult to transform from one form of energy to another, reducing the efficiency of energy conversion.
The second law of thermodynamics is critical to the understanding of energy conversions because it provides a quantitative measure of energy quality, which relates to the ease with which it can be used to perform work.
According to the second law of thermodynamics, the quality of energy tends to degrade over time, resulting in a reduction in efficiency when converting one form of energy to another.
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an electric eel can generate a 278-v, 0.8-a shock for stunning its prey. what is the eel's power output?
The electric eel's power output is 222.4 Watts
Given voltage (V) = 278 V
Current (I) = 0.8 A
To find the electric eel's power output, we have to use the formula
P = IV,
Where P is the power output, I is current, and V is the voltage.
So, we can calculate the electric eel's power output as follows:
Power Output (P) = IVP
⇒278 × 0.8
Power Output (P) = 222.4 Watts
Hence, The power output of the electric eel is 222.4 Watts.
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determine the limit on the series resistance so the energy remaining after one hour is at least 85 percent of the initial energy.
The limit on the series resistance so that the energy remaining after one hour is at least 85 percent of the initial energy, is initial energy into 85% by the voltage.
Ohm's Law states that the current in a circuit is directly proportional to the voltage and inversely proportional to the resistance.
Therefore, the total resistance in a circuit can be calculated using the formula: R = V/I
The energy remaining after one hour must be at least 85 percent of the initial energy, we can calculate the resistance by rearranging the formula.
The total resistance can be determined by multiplying the initial energy by 85 percent and dividing it by the voltage. Thus, the limit on the series resistance is [tex]R = (Initial Energy *0.85) / V[/tex].
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what is the magnitude of the force that the child exerts on the seat at the lowest point if his mass is 18.5 kg in n?
The magnitude of the force that the child exerts on the seat at the lowest point if his mass is 18.5 kg is 981 N.
To determine the magnitude of the force on the child, we must find the magnitude of the centripetal acceleration of the child at the low point first. We can use the equation:
[tex]a_{c}[/tex] = [tex]\frac{v^{2} }{r}[/tex]
where v = 9 m/s and r = 2 m
thus,
[tex]a_{c}[/tex] = [tex]\frac{9^{2} }{2}[/tex]
[tex]a_{c}[/tex] = 40.5 m/s²
And then, we find out the magnitude of the force that the child exerts on the seat at the lowest point if his mass is 18.5 kg.
∑[tex]f_{y}[/tex] = m × [tex]a_{c}[/tex]
[tex]f_{n}[/tex] - w = m × [tex]a_{c}[/tex]
[tex]f_{n}[/tex] = m × [tex]a_{c}[/tex] + w
[tex]f_{n}[/tex] = (18.5 × 40.5) + 18.5 (9.80)
[tex]f_{n}[/tex] = 981 N
Thus, the magnitude of the force that the child exerts on the seat at the lowest point if his mass is 18.5 kg in N is 981 N.
Your question is incomplete, but most probably your full question was
A mother pushes her child on a swing so that his speed is 9.00 m/s at the lowest point of his path. The swing is suspended 2.00 m above the child’s center of mass.
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A 0100 kg hamster enters its exercise wheel, which has an inner diameter of 231 cm, and begins to run at t=0, accelerating at a constant rate. After t=0.800 seconds, the wheel is turning with a rotational frequency of 100 Hz. What is the tangential acceleration of the inner surface of the wheel between t= 0 and 1=0.800 s? ___ m/s2
Therefore, the tangential acceleration of the inner surface of the wheel between t=0 and t=0.800 s is approximately [tex]906.5 m/s^2.[/tex]
What is rotational frequency?The rotational frequency f is defined as the number of revolutions per second, which means that the wheel makes 100 revolutions in one second.
The angular velocity ω is the change in angle per unit time, so we can find it by multiplying the rotational frequency by 2π (the number of radians in one revolution):
ω = 2πf = 2π(100 Hz) = 200π radians/second
Now we can use the time interval and the angular velocity to find the angle through which the wheel has turned.
The time interval is Δt = 0.800 s, so the angle through which the wheel has turned is:
θ = ωΔt = (200π radians/second)(0.800 s) = 160π radians
The circumference of the inner surface of the wheel is C = πd, where d is the diameter of the wheel.
C = π(231 cm) = 725.4 cm
The tangential acceleration a_t is the acceleration of a point on the rim of the wheel, perpendicular to the radius.
We can use the formula for tangential acceleration:
a_t = rα
where r is the radius of the wheel and α is the angular acceleration.
We can find the radius of the wheel by dividing the diameter by 2:
r = d/2 = 231 cm/2 = 115.5 cm
Now we can find the angular acceleration by using the formula:
α = Δω/Δt
where Δω is the change in angular velocity and Δt is the time interval.
We know the initial angular velocity (zero), so we can find the change in angular velocity by subtracting the initial angular velocity from the final angular velocity:
Δω = ω - ω_0 = 200π radians/second - 0 radians/second = 200π radians/second
So the angular acceleration is:
α = Δω/Δt = (200π radians/second)/(0.800 s) = 250π [tex]radians/second^2[/tex]
Finally, we can find the tangential acceleration by multiplying the radius by the angular acceleration:
a_t = rα = (115.5 cm)(250π radians/[tex]second^2[/tex]) = 28875π [tex]cm/second^2[/tex]
a_t = 288.75π [tex]m/s^2[/tex]
Using a calculator, we get:
a_t ≈ 906.5 [tex]m/s^2[/tex] (rounded to one decimal place)
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how would the escape velocity of earth change if the earth suddenly became more dense and became 25 times more massive (but kept its size)?
The escape velocity of Earth would increase significantly (25 times) if it became 25 times more massive but kept its size. This is because escape velocity is determined by the ratio of mass to radius - increasing the mass of the Earth would cause a proportionate increase in escape velocity.
To calculate the escape velocity of a planet, the equation v = sqrt[2GM/r] can be used, where G is the gravitational constant (6.67x10-11 m3 kg-1 s-2), M is the mass of the planet (25 times greater in this example) and r is the radius of the planet (unchanged in this example).
Escape velocity is calculated based on the mass and radius of an object. As the mass of an object increases, the escape velocity increases. This means that if the Earth's mass increases by 25 times, its escape velocity will increase as well.
To calculate the escape velocity, we use the formula: Escape Velocity = sqrt(2GM/r), where G is the gravitational constant (6.67408 x 10^-11 m^3 kg^-1 s^-2), M is the mass of the object, and r is the radius of the object. In this case, if the Earth's mass increases by 25 times, the escape velocity will increase by 25 times as well. This means that the new escape velocity of the Earth would be 25 times the original value.
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a box with a mass of 50 kg is accelerating to the right because of an applied force of 250 n friction between the box and the surface below is negligible. what is the acceleration? (in meters/sec2)
The acceleration of a box with a mass of 50 kg that is accelerating to the right due to an applied force of 250 N and with negligible friction between the box and the surface below is 5 m/s².
Acceleration is defined as the rate of change of velocity of a moving object over time. The magnitude of the velocity of the object changes at a constant rate as a result of acceleration. The acceleration of an object may be calculated using the following formula:
a = (Fnet)/m
where Fnet is the net force acting on the object, and m is the object's mass.
Therefore, using the formula;
a = (Fnet)/m
where m = 50 kg and Fnet = 250 N,
Therefore;
a = 250 N / 50 kg
a = 5 m/s²
Thus, the acceleration of the box is 5 m/s².
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the time it takes a planet to complete one full orbital revolution is commonly known as its question 25 options: period frequency acceleration velocity
The time it takes a planet to complete one full orbital revolution is commonly known as its period. Option a is the correct choice.
The period of a planet refers to the time it takes for the planet to complete one full orbit around its star or sun. This time period is determined by the distance between the planet and the star, as well as the planet's velocity. The period is an important concept in astronomy and is used to calculate a planet's orbital speed, distance, and other orbital parameters. By studying the periods of planets, astronomers can make predictions about their behavior and gain insights into the workings of the solar system and the universe as a whole. Therefore, option a is correct.
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The lens and mirror equation is the same for both lenses and mirrors except that it uses a positive focal length for lenses and a negative focal length for mirrors.
O True
O False
Answer:
False, Other guy is wrong
Explanation:
The equation is not the same
the earth's magnetic field, like any magnetic field, stores energy. the maximum strength of the earth's field is about 7.0 10-5 t. find the maximum magnetic energy stored in the space above a city if the space occupies an area of 3.40 108 m2 and has a height of 1300 m.
The maximum magnetic energy stored in the space above a city, with an area of 3.40 108 m2 and a height of 1300 m, can be calculated using the equation E = B²V/2, where B is the strength of the Earth's magnetic field (7.0 10-5 t), V is the volume of the space (4.42 10¹⁰ m³), and E is the energy stored. Plugging in the values for B and V, we find the maximum magnetic energy stored in the space above the city to be 6.17 10¹⁵ J.
The Earth's magnetic field is important for providing a protective barrier against dangerous cosmic rays, and for allowing creatures that use magnetoception, such as birds, to navigate.
The Earth's magnetic field is always changing and is generated by electrical currents in the core of the Earth, which are influenced by convection currents and the rotation of the Earth. Even though the energy stored in the Earth's magnetic field is quite small, it still plays an important role in the way the Earth works.
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what observation can you make that allows you to determine the relative magnitudes of the forces on the upper book?
Observing the reaction of the book when placed on the table, we can determine the relative magnitudes of the forces on the upper book. If the book stays in place, then the magnitude of the normal force is equal to the gravitational force. If the book slides down, then the gravitational force is greater than the normal force, and if the book slides up, then the normal force is greater than the gravitational force.
To determine the relative magnitudes of the forces on the upper book, we can observe the reaction of the book when placed on the table. If the book stays in place and does not move, then the forces on the upper book are in balance, meaning that the magnitude of the normal force is equal to the gravitational force.
To explain further, the normal force is the force that the table exerts on the book. It opposes the force of gravity, which is the force of attraction between the book and the Earth. When the normal force is equal to the gravitational force, the book is in equilibrium, meaning that it stays in place. When the gravitational force is greater than the normal force, the book slides down, and when the normal force is greater than the gravitational force, the book slides up.
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this solenoid must be 1.40 m long and 20.0 cm in diameter. if you have 2513.3 m of wire, how many turns of wire can you include in your solenoid?
To calculate the number of turns of wire included in the solenoid, use the following formula the value is 80000.
As the given data is : Number of turns = Length of wire / (π x Diameter of solenoid), For this example, that would be:, Number of turns = 2513.3 m / (3.14 x 0.20 m) = 39,755.56 turns. Solenoid length(l) = 1.4 m Diameter of solenoid (d) = 20 cm = 0.2 m Length of wire = 2513.3 m.
The formula of the solenoid, the Number of turns of the solenoid is given by; N=Length of wire /(Pi*d^2/4)L = 2513.3 m Diameter of the solenoid (d) = 0.2 m. Putting the values in the above equation, we get; N = 2513.3 / (3.14 * 0.2^2 / 4)N = 2513.3 / (3.14 * 0.04 / 4)N = 2513.3 / 0.0314N = 80000 turnsTherefore, the number of turns of wire that can be included in the solenoid is 80000.
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Three masses are connected by ropes over frictionless pulleys. The masses are known, m1 = 10.2 kg, m2 = 3.1 kg, and m3 = 4.8 kg. Determine the acceleration of m1 if μs = 0.38 and μk = 0.26.
Just the pull from the rope's tension acts horizontally on mass 1, functioning as the only force. In this case, T=m1*F/(m1+m2) represents the tension (again, the acceleration is the same because of the rope and the lack of friction, I think).
Is a spring used to join the two mass blocks, m1 and m2, together?The blocks with masses of 1 kg and 2 kg lie on a rough horizontal surface and are joined by a spring. It is not strained to any degree. K=2 N/m represents the spring constant. Blocks and a horizontal surface interact with each other with a 0.5 coefficient of friction.
The masses shift in such a way that the string's length between P1 and P2 is parallel to the inclined plane.
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torque does ignoring the mass significantly effect the value you calculate for the force exerted by the triceps? explain why or why not. triceps
When calculating the force exerted by the triceps, ignoring the mass significantly affects the torque value.
The torque is the product of the force and the distance from the force application point to the axis of rotation.
Torque= force*distance (N m)
The torque calculation for a muscle depends on the point of attachment of the muscle. Muscle mass is related to its force production capacity, and it is necessary to consider it when calculating the force applied by the triceps.
However, the force exerted by the triceps muscle would be affected by the mass of the object being lifted or moved. The force required to move an object increases with the mass of the object. Therefore, ignoring the mass of the object would result in an underestimate of the force required to move the object, and thus an underestimate of the force exerted by the triceps.
In summary, ignoring the mass of the object being lifted or moved would not significantly affect the calculated value of torque, but it would affect the calculated value of force.
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once body density is determined as with hydrostatic weighing and air displacement plethysmography, percent body fat can be calculated using
Once body density is determined as with hydrostatic weighing and air displacement plethysmography, percent body fat can be calculated using the Siri equation. Body density refers to the measurement of an individual's body mass. It is the mass of an individual's body divided by the volume of their body.
It is expressed in kilograms per cubic meter in SI units. Body density can be used to calculate body fat percentage. Body fat percentage, also known as adiposity index, is the amount of body fat present in an individual's body divided by their total body mass. Body fat is essential for proper functioning of the body, but it needs to be maintained in the right amount for overall health and well-being.
Percent body fat calculation using the Siri equation Once the body density is determined, percent body fat can be calculated using the Siri equation. The Siri equation is expressed as: Percent body fat = [(4.95/Body Density) - 4.50] x 100The Siri equation is an accurate way of calculating percent body fat. It uses body density as its basis for measurement.
Body density is determined by measuring the mass and volume of the individual's body. Hydrostatic weighing and air displacement plethysmography are the two most common methods for determining body density. These methods are accurate and reliable for body density measurement.
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a typical television remote control emits radiation with a wavelength of 938 nm. what is the frequency (in 1/s) of this radiation?
The typical television remote control emits radiation with a wavelength of 938 nm having a frequency of [tex]3.20 \times 10^{14} s^{-1}[/tex].
The frequency of this radiation can be determined using the formula λν = c, where λ is the wavelength, ν is the frequency, and c is the speed of light in a vacuum.
The speed of light is approximately 3.00 × 10^8 m/s. The wavelength of the radiation in meters is given by:
938 nm = 938 × 10^-9 m
So, λ = 938 × 10^-9 m.
Substituting this value and the value of c in the formula, we have:
938 × 10^-9 m × ν = 3.00 × 10^8 m/s
Solving for ν gives:
ν = (3.00 × 10^8 m/s) / (938 × 10^-9 m) = 3.20 × 10^14 s^-1
Therefore, the frequency of the radiation emitted by the typical television remote control is 3.20 × 10^14 s^-1 (or Hertz).
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our resistors are connected to a source of emf as shown. Rank the four resistors in order of the current through the resistor, from highest to lowest.A. the 6.00-S2 resistor B. the 8.00-S2 resistor C. the 20.0-2 resistor D. the 25.0-S2 resistor
the ranking of the resistors in terms of current, from highest to lowest, is A, B, C, D.
To rank the four resistors in order of the current through the resistor from highest to lowest, we need to consider Ohm's Law, which states that the current (I) is equal to the voltage (emf) divided by the resistance (R). Mathematically, this is represented as I = emf / R.
Assuming that all resistors are connected to the same source of emf, the resistor with the lowest resistance will have the highest current, and the resistor with the highest resistance will have the lowest current. Therefore, we can rank the resistors based on their resistance values:
1. A. the 6.00-Ω resistor
2. B. the 8.00-Ω resistor
3. C. the 20.0-Ω resistor
4. D. the 25.0-Ω resistor
So the ranking of the resistors in terms of current, from highest to lowest, is A, B, C, D.
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As a boat moves through water, it experiences drag, which is similar to air resistance. Does drag slow the boat down or speed it up?
Answer:
Whether the object or fluid is moving, drag occurs as long as there is a difference in their velocities. Because it is resistant to motion, drag tends to slow down the object. An effective way to reduce it is to alter the shape of the object and make it streamline. Drag Force Examples of Drag Force
Explanation:
A wheel and axle is like a screw.
A- True
B- False
a 5100 kg open train car is rolling on frictionless rails at 25 m/s when it starts pouring rain. rain falls vertically. a few minutes later, the car's speed is 23 m/s . What mass of water has collected in the car?
111.3 kg of water have accumulated inside the car
Let us assume that the mass of water accumulated is m′. As a result, the total mass of the train-car plus the water is m + m′. The momentum of the total mass before rain = momentum of the total mass after rain. Momentum of the train before rain, p1 = mv1 Momentum of the train after rain, p2 = (m + m′) v2 .Applying the principle of conservation of momentum,p1 = p2m v1 = (m + m′) v2.
The mass of water is calculated using the above equation.
m′ = [m v1 - m v2]/v2m′ = m (v1 -v2)/v2 Substitute m = 5100 kg, v1 = 25 m/s, and v2 = 23 m/s in the above equation.
m′ = (5100 × (25 - 23))/23m′ = 111.3 kg
Therefore, the mass of water accumulated in the car is 111.3 kg.
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a 13 pf capacitor is connected across a 54 v source. what charge is stored on it? answer in units of c.
The charge stored on the capacitor is 702 × 10^-12 C.
A capacitor is a device that stores an electric charge. It consists of two conductors separated by an insulator, which is often called a dielectric.
Capacitance is a measure of a capacitor's ability to store an electric charge. It's measured in farads (F) or picofarads (pF).A capacitor stores electrical energy in the form of an electric field.
The charge that is stored on a capacitor depends on the capacitance of the capacitor, as well as the voltage applied across the capacitor. The formula for calculating the charge stored on a capacitor is Q = CV,
where Q is the charge stored on the capacitor, C is the capacitance of the capacitor, and V is the voltage applied across the capacitor.
The capacitance of the capacitor is given as 13 pF and the voltage applied across the capacitor is 54 V.
Q = CVQ = 13 × 10^-12 F × 54 VQ = 702 × 10^-12 CTherefore, the charge stored on the capacitor is 702 × 10^-12 C.
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200 g 20 g, Sketch free-body then calculate the acceleration of the trolley. (7)
The acceleration of the trolley is acceleration = (220 g) / m.
Short answer: What is acceleration?What is acceleration defined as, the rate of change of velocity with respect to time. As acceleration has both a magnitude and a direction, it is a vector quantity. It is also the first derivative of velocity or the second derivative of position with respect to time.
Total force = 200 g + 20 g
= 220 g
where the acceleration brought on by gravity, or g, equals (9.8 m/s²).
We may now use Newton's second law of motion, which states that an object's net force is equal to its mass times its acceleration:
Net force = total force
= 220 g
Mass of the trolley is not given in the problem. Let's assume that it is m.
m * acceleration = 220 g
Solving for acceleration, we get:
acceleration = (220 g) / m
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Question:
A trolley is being pulled by a force that is equal to the weight of two masses, one with a weight of 200 g and the other with a weight of 20 g. Sketch a free-body diagram of the trolley and calculate its acceleration assuming there is no friction or resistance acting on it. (7)
Assume that the trolley is on a flat, level surface and is not initially moving. Additionally, assume that the weight units are in grams.
if a test point is marked 5 volts and a sedond test point is marked -3.3 volts. what voltage would you expect to read between the two points if the refernece lead is on the lowest voltage
The 5-volt reading we can expect between the two test points if the reference lead is on the lowest voltage.
The given data is as follows:
The first test marked voltage = 5 volts
The second test marked voltage = -3.3 volts
Let us assume that the two test points are there is a conductive track between them, the voltage between the two points can be calculated using the voltage difference between the two test points.
The voltage difference between the two test points is calculated as:
5 volts - (-3.3 volts) = 8.3 volts
If the reference lead is on the lowest voltage, It means that the negative side of the voltmeter is attached to the test point with the lower voltage which is -3.3 volts.
The voltage difference between the two test points is
8.3 volts - 3.3 volts = 5 volts
Therefore we can conclude that the 5-volt reading we can expect between the two test points.
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Jack and Jill stand on the ice and push off each other. Jack's 64.3-kg body is propelled westward with a velocity of 2.19 m/s. What is the eastward velocity of Jill's 45.4-kg body?
Answer:
By the law of conservation of momentum, the total momentum of the system before and after the push must be equal. Therefore, we can use the following equation to solve for Jill's velocity:
(mass of Jack) x (velocity of Jack) = (mass of Jill) x (velocity of Jill)
Plugging in the given values, we get:
(64.3 kg) x (2.19 m/s) = (45.4 kg) x (velocity of Jill)
Solving for the velocity of Jill, we get:
velocity of Jill = (64.3 kg x 2.19 m/s) / 45.4 kg = 3.10 m/s (eastward)
Therefore, Jill's body is propelled eastward with a velocity of 3.10 m/s.
as a student runs a plastic comb through her hair, the comb acquires a negative electric charge this charge resuklts from the transfer of
Electrons from the student's hair to the plastic comb. When the student runs the comb through her hair, the comb and the hair rub against each other. This friction causes the transfer of electrons between the two materials.
What is friction ?Friction is a force that opposes motion between two surfaces in contact. Whenever two surfaces are in contact and one of them moves or tries to move over the other, there is a force that resists the motion. This force is called friction. Friction arises due to the irregularities on the surfaces of the objects in contact. When the two surfaces are pressed together and moved relative to each other, the irregularities interlock and create resistance to motion. The force of friction always acts in the opposite direction to the direction of motion or the direction of the applied force.
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a stone is thrown upward from ground level. the initial speed is 176 feet per second. how high will it go?
The stone thrown upward from ground level with an initial speed of 176 feet per second will reach a maximum height of: approximately 564 feet
To calculate the maximum height, we must use the equation of motion, which states that the final velocity is equal to the initial velocity plus the acceleration times the time. We know the initial velocity (176 feet per second) and the acceleration is equal to the acceleration due to gravity, which is -32 feet per second squared.
Since we do not know the time, we can solve it using the equation Vf = Vi + at. Solving for t, we get[tex]t = (Vf-Vi)/a[/tex], where Vf is 0 and Vi is 176 feet per second. Thus,[tex]t = (0-176)/(-32)[/tex], and t = 5.5 seconds.
Using the equation of motion, we can find the maximum height by using the equation [tex]H = Vi*t + (1/2)*a*t^2[/tex]. We plug in our values and get[tex]H = 176*5.5 + (1/2)*(-32)*5.5^2 = 564 feet.[/tex]
Therefore, the stone thrown upward from ground level with an initial speed of 176 feet per second will reach a maximum height of approximately 564 feet.
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if the rate of internal energy dissipation in a battery is 1.0 watt, and the current produced by the battery is 0.50 amps, what is the internal resistance of the battery?
If the rate of internal energy dissipation in a battery is 1.0 watt, and the current produced by the battery is 0.50 amps, the internal resistance of the battery can be calculated using Ohm's law. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points. The proportionality constant is called the resistance of the conductor, which is expressed mathematically as V = IR, where V is the voltage, I is the current, and R is the resistance.
The power dissipated by the internal resistance of a battery is given by P = I2R, where P is the power, I is the current, and R is the internal resistance. The rate of internal energy dissipation in the battery is given as 1.0 watt, and the current produced by the battery is given as 0.50 amps.
Using Ohm's law, we can calculate the voltage across the battery as V = IR = 0.50 x R. Therefore, the power dissipated by the internal resistance of the battery is P = I2R = (0.50)2 x R = 0.25R.
Equating the power dissipated by the internal resistance of the battery to the rate of internal energy dissipation, we get:
0.25R = 1.0
Solving for R, we get:
R = 1.0/0.25 = 4 ohms.
Therefore, the internal resistance of the battery is 4 ohms.
Internal energy dissipation is the energy that is lost due to friction or resistance in a system. In the case of a battery, internal energy dissipation refers to the energy that is lost due to the internal resistance of the battery. The internal resistance of a battery is a measure of how much energy is lost due to the resistance of the battery's internal components. The higher the internal resistance of the battery, the more energy is lost as heat, which reduces the battery's efficiency.
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some music has a slow-moving pulse and some music has a fast-moving pulse. the speed at which the pulse moves in music is known as its
The speed at which the pulse moves in music is known as its tempo. Tempo is measured in beats per minute (BPM) and is the speed of the underlying pulse of a piece of music.
Tempo is the speed at which a piece of music is played. It is measured in beats per minute (BPM), and it affects the overall mood of a piece of music. The tempo of a piece of music is typically determined by the composer, but it may also be affected by the performer's interpretation. Different types of music have different tempos; for example, a ballad may have a slow tempo, while a dance tune may have a fast tempo.
The speed at which the pulse moves in music is known as its tempo. Tempo can vary significantly between pieces and is often indicated in a piece's score with the terms allegro (fast), moderato (moderate) or largo (slow).
In music, the pulse refers to the beat that you can feel in the music. It is the underlying rhythm that keeps the music moving forward. The pulse is usually created by the drums or other percussion instruments in the music, but it may also be created by other instruments or by the vocals. Different types of music have different pulses; for example, a ballad may have a slow-moving pulse, while a dance tune may have a fast-moving pulse.
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