(1) The time of the second occurrence is 2.92 s (2) displacement is 29.24 m (3) velocity of the particle is 4.86 m/s (4) the time of second occurence is 2.94 s.
Given z = c1t^2 - c2t^3 and c1 = 2.12 m/s^2 and c2 = 3.29 m/s^3.
1) The particle is at z = 0 twice. To find the second occurrence, we set z = 0 and solve for t:
0 = 2.12t^2 - 3.29t^3
This is a cubic equation and can be solved using numerical methods or by using a computer algebra system.
The second solution is approximately t = 2.92 s.
2) The displacement of the particle between 2 s and 5 s can be found by finding the final position minus the initial position:
Δz = z(5s) - z(2s) = (2.12 × 5^2 - 3.29 × 5^3) - (2.12 × 2^2 - 3.29 × 2^3)
Δz = 29.24 m
3) The velocity of the particle is given by the derivative of the position function, so we can find the velocity at t = 0.657 s as:
v = dz/dt = 2c1t - 3c2t^2 = 2 × 2.12 × 0.657 - 3 × 3.29 × 0.657^2
v = 4.86 m/s
4) The velocity is at 0 twice. To find the second occurrence, we set v = 0 and solve for t:
0 = 2 × 2.12t - 3 × 3.29t^2
This is a quadratic equation and can be solved using the quadratic formula or by using a computer algebra system.
The second solution is approximately t = 2.94 s.
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Question - A particle moves in such a way that its position z, in meters, is given as a function of t, in seconds, by the equations z=c1t^2-c2t^3
1) The particle is at 0 twice. What is the time of the second occurrence of z=0 in seconds?
2) What is the displacement(m) of the particle between 2sec and 5 sec?
3) What is the velocity of the particle at t=0.657s? The velocity is also at 0 twice.
4) What is the time of the second occurence?
what is the dirction and magnitude of the angular momentum vector of an irregular object in free fall
The angular momentum vector of an irregular object in free fall direction will be perpendicular to the plane of rotation and Magnitude depends on mass distribution and rotation speed, constantly changing in free fall.
When an irregular object is in free fall, its angular momentum vector is perpendicular to the plane of rotation and its magnitude is determined by its mass distribution and its rotational speed.
Since an object in free fall is constantly changing its velocity, the magnitude of its angular momentum is also constantly changing. It is important to take this into consideration when attempting to calculate the angular momentum vector of an object in free fall, as its direction and magnitude will be constantly shifting.
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a wooden box is sitting on a table. the normal force on the box from the table is 75 n. a second identical box is placed on top of the first box. the normal force on the first box by the table will
The normal force on the first box from the table will stay at 75 N even after a second box is placed on top of it.
The normal force is a contact force that is determined by the weight of the object, as well as the interaction between the two surfaces in contact. The regular force that the table normally applies to the first box will stay unchanged because the weight of the box has not changed.
The normal force, which is equivalent in strength to gravity's force and acts in the opposite direction, is a force that is perpendicular to the surface of contact. The box is prevented from dropping through the table's surface by this reactionary force.
In other words, the normal force is equivalent to the object's weight, which in this instance is 75 N.
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what is the gauge pressure inside the reservoir? express your answer with the appropriate units.
The difference between the inner and external pressures is measured by the pressure gauge on a reservoir. When the oxygen (O2) tank is full, it holds 12.0 kg of the gas at a gauge pressure of 40 atm.
The oxygen (O2) tank holds 12.0 kg of the gas at a gauge pressure of 40 atm when it is fully filled. Gauge pressure is the common name for this type of reading since the gauges measure pressure in relation to atmospheric pressure, which serves as the zero point. However, anything that is not a complete vacuum is considered to be under some type of pressure. In daily life, gauge pressure is frequently utilized. Tire pressure, for instance, is assessed in relation to atmospheric pressure. When an automobile ascends a mountain, the gauge pressure rises as the air pressure falls, but it is assumed that the tire's absolute pressure stays constant.
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A ring of radius R has total charge Q.
A) At what distance along the
z-axis is the electric field strength a maximum?
Express your answer in terms of R.
B)What is the electric field strength at this point?
Express your answer in terms of the variables Q, R, and ?0
A) E = k * Q / R^2, electric field strength is maximum at R. B) Electric field strength at this point is E is k * Q / R^2 = k * Q / R^2,
What is electric field strength?A quantitative expression of the intensity of electric field at a particular location is called electric field strength.
A) Electric field strength is maximum at a distance of R from the ring, along the z-axis and the expression for the electric field strength can be given as: E = k * Q / R^2
k is Coulomb's constant and R is distance from the center of ring to the point where electric field is being calculated. Hence, the electric field strength is maximum at R.
B) Electric field strength at a distance of R from the center of the ring along the z-axis can be expressed as: E = k * Q / R^2
k is Coulomb's constant and R is radius of ring. Hence, the expression for the electric field strength at the point where it is maximum is:
E is k * Q / R^2 = k * Q / R^2,
k, Q, and R are variables and value of k is constant, equal to 8.99 * 10^9 N * m^2 / C^2. Variables Q and R are total charge on the ring and the radius of the ring respectively.
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what tool of l.b. jefferies' trade in rear window saves him from harm once he is discovered by his potentially murderous neighbor? group of answer choices the sharp edge of a camera lens his dark room chemicals his camera flashbulb lisa and her quick thinking
The tool of L.B Jefferies' trade-in Rear window that saves him from harm once he is discovered by his potentially murderous neighbor is his Camera flash bulb.
The correct option is C.
What is the storyline of Rear-window?The storyline of Rear-window is that of a news photographer, L.B Jefferies, in a wheelchair, watching the behavior of his neighbors across the courtyard from his Greenwich Village apartment, and is amused by what he sees.
He becomes convinced that one of the neighbors has murdered his wife based on his observations, but he is unable to persuade his fiancee and his detective friend of this. Eventually, the killer realizes he is being observed and tries to kill the photographer after the fiancée finds proof that supports his suspicions. Though his second leg is injured during the rescue effort, the snooper is saved just in time.
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a karate expert breaks a pine board, 2.2 cm thick, with a hand chop. strobe photography shows that his hand, whose mass may be taken as 580 g, strikes the top of the board with a speed of 9.5 m/s and comes to rest 2.8 cm below this level. (a) calculate the time duration of the chop (assuming a constant force). (b) calculate the average force applied.
A) The time duration of the chop 5.8 millisecond.
B) The applied average force Fav would be 830 N.
What is Velocity ?Velocity is a vector quantity that describes the rate of change of an object's position. It is equal to the displacement of an object divided by the time interval over which the displacement occurred. Velocity has both magnitude and direction, and its units are typically meters per second (m/s). The velocity of an object can change over time due to acceleration, and if an object is moving in a circular path, it also has a component of velocity perpendicular to its direction of motion, known as centripetal velocity.
a) The average speed Vav during the time the hand is in contact with the board is half of the initial speed.
Thus, Vav = (9.5 m/s) /2
= 4.8 m/s
To obtain the time duration t of the chop, substitute 2.8 cm for y and 4.8 m/s for vav
in the equation t=y/ Vav,
t=y/ Vav
=(2.8 cm)/(4.8 m/s)
= (2.8 cm×10⁻² m/1 cm)/(4.8 m/s)
= 5.8×10⁻³ s
= (5.8×10⁻³s) (1 ms/10⁻³s)
= 5.8 ms
Therefore the time duration t of the chop will be 5.8 ms.
b.
To obtain the applied average force Fav, substitute 5.1 N.s for J and 5.8 ms for t in the equation Fav = Jlt,
Fav=Jlt
=(5.1 N.s)/(5.8 ms)
=(5.1 N.s)/(5.8 ms×10⁻³s/1 ms)
= 880 N
From the above observation we conclude that, the applied average force Fav would be 830 N.
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a solenoid has 21 turns per centimeter of its length. the solenoid is twisted into a circle so that it becomes shaped like a toroid. what is the magnetic field at the center of each turn of the toroid? the current is 57 ma m a .
The magnetic field is 228π x 10⁻¹⁰ T.
To calculate the magnetic field at the center of each turn of the toroid, we can use the formula for magnetic field produced by a solenoid:
B = μ x n x I / L
where:
B is the magnetic field
μ is the magnetic constant
n is the number of turns per unit length of the solenoid
I is the current flowing through the solenoid
L is the length of the solenoid
For the toroid, we need to find the magnetic field at the center of each turn. We can assume that the number of turns per unit length is equal to the number of turns per centimeter of the original solenoid.
So, substituting the given values:
B = (4π x 10⁻⁷) x 21 turns/cm x 57 x 10⁻³ A / 1 cm = 228π x 10⁻¹⁰ T.
Magnetic field is a field that surrounds a magnetic object and influences the behavior of moving charges within it. It is characterized by its direction and magnitude, and it can be represented by magnetic field lines. The magnetic field is proportional to the amount of current flowing through a conductor or a wire, and it can also be created by moving charged particles.
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as seen from the earth, what was the angle between the direction to the sun and the direction to mars on december 3, 1999?
On December 3, 1999, the angle between the direction to the sun and the direction to Mars, as seen from the Earth, was approximately 26.6 degrees.
The angle between the direction to the Sun and the direction to Mars from the Earth is determined by the relative positions of Earth and Mars in their respective orbits. On December 3, 1999, Mars was at opposition, meaning that it was on the opposite side of the Sun from Earth. At this time, the angle between the two was approximately 26.6 degrees.
The angle between the two changes over time, depending on the relative positions of Earth and Mars. When the two planets are on the same side of the Sun, the angle between them is at a minimum, and when they are on opposite sides of the Sun, the angle between them is at a maximum. This is why the angle between the two is always changing and is never exactly the same.
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Which preconnected hose load has hose folds that are laid into the hose bed in an S-shape?
Select one:
a.Minuteman load
b.Preconnected combination load
c.Triple layer load
d.Preconnected flat load
The preconnected hose load with hose folds laid into the hose bed in an S-shape is known as a "Minuteman Load."
A Minuteman load is a type of fire hose that is pre-connected and stored on a fire truck in a compact, organized manner. The hose is folded in an S-shape pattern and stored on the hose bed, which makes it easy for firefighters to access and deploy quickly in case of an emergency. The S-shape pattern helps prevent kinks and twists in the hose, which can slow down the flow of water and reduce the effectiveness of the firefighting effort. The compact storage also saves space on the fire truck and reduces the amount of time needed to deploy the hose. In addition, Minuteman loads are often made with high-quality materials that are resistant to abrasion, heat, and bchemicals, making them durable and long-lasting. Overall, the Minuteman load is a convenient and efficient way for firefighters to store and deploy fire hoses in the field.
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A 30 kg child moving at 5 m/s jumps onto a 50 kg sled that is initially at rest
on a frictionless sheet of ice. Determine the speed of the child-sled system after
the child jumps onto the sled.
The speed of the child-sled system after the child jumps onto the sled is 3 m/s.
What is speed?An object's speed is the rate at which it moves in any direction. Speed is measured as the ratio of the distance travelled to the time required to cover that distance. Speed is a scalar quantity since it only has a direction and no magnitude.
Apply momentum conservation perfect inelastic.
p(before) = p(after)
m1v1i = (m1 + m2)vf
(30)(5) = (50)vf
vf = 3 m/s
Hence, speed of the child-sled system after the child jumps onto the sled is 3 m/s
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assume that the starting temperature of the metal is -18ºc (or 0ºf); show all calculations.
The starting temperature of the metals is -18ºc (or 0ºf) then
255.37222222 K is Celsius to Fahrenheit
-17.77777778ºc is Fahrenheit to Celsius
1. Fahrenheit to Celsius:
To convert from Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature, then divide by 1.8.
To convert from Celsius to Fahrenheit, you need to use the following formula:
F = (C x 1.8) + 32
To convert -18ºC to Fahrenheit:
F = (-18 x 1.8) + 32
F = 0ºF-18ºc = 0ºf
0ºf - 32 = -32
[tex]\frac{-32 }{ 1.8} = -17.77777778ºc[/tex]
-17.77777778ºc is the temperature of metal at Fahrenheit to Celsius
2. Celsius to Kelvin:
To convert from Celsius to Kelvin, add 273.15 to the Celsius temperature.
[tex]-17.77777778ºc + 273.15 = 255.37222222 K[/tex]
255.37222222 K is the temperature of metal at Celsius to Kelvin.
The temperature of metal varies depending on the type of metal in question. Most metals have a melting point between 1,000 and 1,500 degrees Fahrenheit (538 and 816 degrees Celsius).
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An object is released from rest at top at Plane at an the top of a rough plane at an angle of 30° to the horizontal. and 4.0m high. It the coettiment of friction is 0.3, calculate- take the time the body takes to reach the bottom of the plane Take [g=10m/s]
Answer:
It takes the object 2.581 seconds to reach the bottom of the plane.
Explanation:
We will need to use Newton's Second Law to answer this question.
According to Newton's Second Law, acceleration is directly proportional to the net force and inversely proportional to the object's mass. Therefore the acceleration of an object depends on the mass of the object and the amount of force applied.
[tex]F_{net}=ma[/tex]
Lets identify all the forces affecting the motion of the object.
The force due to gravity has two components; the horizontal (parallel) and vertical (perpendicular).
The force parallel to the plane trying to accelerate the block down the plane is
[tex]mg\sin \theta[/tex]
The perpendicular force balances out with the normal force. The normal force is equal to the force of the object perpendicular to the plane.
[tex]mg\cos\theta[/tex]
We also have a force opposing the motion of the object; the force due to friction. The formula for the force due to friction is
[tex]F_F=F_N\mu[/tex]
[tex]F_F=\mu mg\cos \theta[/tex]
We can say the net force of the object is
[tex]ma=mg\sin \theta -\mu mg\cos \theta[/tex]
We can simplify this by cancelling the common factor of [tex]m[/tex].
[tex]a=g\sin \theta - \mu g\cos \theta[/tex]
We are given
[tex]\theta=30 \textdegree\\\mu=0.3\\h=4\\g=10[/tex]
Substituting our values into the equation gives us
[tex]a=10*\sin 30- 0.3* 10*\cos 30[/tex]
Acceleration
Lets simplify.
[tex]a=10*\frac{1}{2} - 0.3* 10*\cos 30[/tex]
[tex]a=10*\frac{1}{2} - 0.3* 10*\frac{\sqrt{3} }{2}[/tex]
[tex]a=5- 0.3* 10*\frac{\sqrt{3} }{2}[/tex]
[tex]a=5-3*\frac{\sqrt{3} }{2}[/tex]
[tex]a=5-\frac{3\sqrt{3} }{2}[/tex]
[tex]a=2.402[/tex]
Plane Length
We are given the angle and the side opposite to the angle.
We can use the SIN function to evaluate the length of the plane.
[tex]O[/tex] is the opposite side (height)
[tex]H[/tex] is the hypotenuse (plane length)
[tex]\sin \theta=\frac{O}{H}[/tex]
Solving for [tex]H[/tex] gives us
[tex]H=\frac{O}{\sin \theta}[/tex]
Given
[tex]O=4\\\theta=30[/tex]
[tex]H=\frac{4}{\sin 30}[/tex]
[tex]H=\frac{4}{\frac{1}{2} }[/tex]
[tex]H=4*2[/tex]
[tex]H=8[/tex]
The length of the plane is 8 meters.
Time
We can evaluate the time using this motion equation.
[tex]\Delta x=v_ot+\frac{1}{2} at^2[/tex]
We are given
[tex]\Delta x=8\\v_o=0\\a=2.402[/tex]
Substituting our values into the equation gives us
[tex]8=0*t+\frac{1}{2} *2.402*t^2[/tex]
Lets simplify and evaluate [tex]t[/tex].
[tex]8=\frac{1}{2} *2.402*t^2[/tex]
[tex]8=1.201*t^2[/tex]
[tex]\frac{8}{1.201}=t^2[/tex]
[tex]6.66=t^2[/tex]
[tex]\sqrt{6.66}=t[/tex]
[tex]2.581=t[/tex]
a truck with a mass of 2400 travels at a constant speed of 90 km/hr. what average force would be required to stop the truck in 8 seconds?
We need a force of 7500 in the opposite direction of the motion of the truck.
According to the first equation of motion
V= U + a t
t = time taken
V= final velocity =0 (as truck will come to rest)
U = initial velocity = 90 km/hr = 25 m/sec
a = acceleration
a= V- U / t
a = 0- 25 / 8
a = - 3.125 m/[tex]sec^{2}[/tex]
According newtons second law
F= m a
F = 2400 (- 3.125 m/[tex]sec^{2}[/tex])
F= - 7500 Newton
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if the length of the centrifuge arm is 15.0 m m , at what speed is the rider moving when she experiences 10 g's?
The rider is moving at a speed of 12.2 meters per second when she experiences 10 g's.
The speed at which a rider experiences 10 g's (10 times the acceleration due to gravity) on a centrifuge can be calculated using the formula:
speed = (g * r)
Where g is the acceleration due to gravity (9.8 m/s^2) and r is the radius of the centrifuge arm (in this case, 15.0 m).
Plugging in the numbers, we get:
speed = (9.8 * 15.0) = (146) = 12.2 m/s
It's important to note that high g-forces can have serious health effects, and centrifuges are often used to simulate conditions experienced by pilots, astronauts, and other people who are subjected to high g-forces.
The g-forces experienced on a centrifuge can be used to determine the limits of human tolerance and to develop measures to protect people from the harmful effects of high g-forces.
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22r6 r2⇒r2 is used to transform a matrix. determine the row operation that will transform the matrix back to its original form. use r1, r2, etc. to represent the rows r1, r2, etc.
Row operation 22R6 + R2 R2 changes the matrix by adding row 6 to row 2 twice. To reverse this procedure and restore the matrix to its original shape, subtract row.
6 twice from row 2. This can be written as: -22R6 + R2 ⇒ R2 As a result, the row operation that will return the matrix to its original form is: -22R6 + R2 ⇒ R2 This procedure can be used to reverse the results of the previous operation and restore the matrix to its original state. 22r6 r2⇒r2 is used to transform a matrix. determine the row operation that will transform the matrix back to its original form. use r1, r2, etc. to represent the rows r1, r2, etc. Row operation 22R6 + R2 R2 changes the matrix by adding row 6 to row 2 twice. To reverse this procedure and restore the matrix to its original shape, subtract row.
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why is the beta distribution used to estimate the activity time and variance
The beta distribution is widely used in project management to estimate activity times and variance because of its flexibility and suitability for modeling uncertainty where there is limited information or multiple sources of uncertainty.
The beta distribution is a continuous probability distribution that is defined by two parameters, alpha and beta. These parameters can be used to model a range of different probability distributions, making the beta distribution well-suited for modeling uncertainty in activity times and variance.
One of the key benefits of using the beta distribution to estimate activity times and variance is its ability to handle situations where there is limited information or data. By allowing the user to specify the values of alpha and beta, the beta distribution can be used to model a wide range of different distributions, including both symmetric and asymmetric distributions. This makes it an ideal tool for modeling uncertainty in situations where data is scarce or incomplete.
Another advantage of the beta distribution is its ability to handle situations where there are multiple sources of uncertainty. For example, in project management, activity times and variance can be affected by a variety of factors, such as resource availability, scheduling constraints, and external factors. By using the beta distribution, it is possible to model these multiple sources of uncertainty in a consistent and coherent manner, providing a more accurate estimate of activity times and variance.
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As Column A gets heated, what happens to the ball?A. It moves left along the beamB. It falls straight down from its current positionC. It moves right along the beamD. Nothing(look figure)
As Column A gets heated, the balI moves left along the beam. The solid ball cannot fit through the ring because it grows larger and expands when heated.
Heat causes a substance's molecules and atoms to vibrate more quickly. Atoms that vibrate more swiftly separate themselves from one another. The state of matter of a substance is determined by the velocity and spacing of the particles. The thing finally grows and takes up more space as a result of increased molecular mobility. Heat causes the molecules in the thermometer's red liquid to flow more swiftly. This movement causes the molecules to spread out a little bit further, which competes with their mutual attractions. They can only get out by climbing the tube.
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19.78 g of copper is heated from 15 °c to 48 °c. how much heat was needed in joules?
To calculate the amount of heat required to raise the temperature of 19.78 g of copper from 15 °C to 48 °C, you need to use the equation for heat transfer:
q = mcΔT
where q is the heat transfer, m is the mass of the copper, c is the specific heat capacity of copper, and ΔT is the change in temperature.
The specific heat capacity of copper is approximately 385 J/kg°C. Therefore, the heat transfer can be calculated as follows:
q = (19.78 g) * (385 J/kg°C) * (48 °C - 15 °C)
where the mass is first converted to kilograms and the temperature change is calculated in Celsius.
The heat transfer required to raise the temperature of 19.78 g of copper from 15 °C to 48 °C is approximately 31,739 J.
It is important to note that this calculation assumes that no heat is lost to the surroundings and that all the heat energy is absorbed by the copper. In reality, some heat energy may be lost to the surroundings, so the actual heat energy required may be slightly higher.
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7. Two campers dock a canoe. One camper steps onto the dock. This camper has a mass of 80 kg and moves forward at 4.0 m/s. With what speed and direction do the canoe and the other camper move if their combined mass is 110 kg?
Answer:
Explanation:
Ths question is about conservation of momentum. The momentum of the camper on the dock is the same as the momentum of the other camper and the canoe.
[tex]m_1v_1=m_2 v_2[/tex]
[tex]80 kg . 4.0 m/s = 110 kg . v_2[/tex]
[tex]v_2 = \frac{320 kgm/s}{110 kg}[/tex]
[tex]v_2 = 2.9 m/s[/tex]
The canoe will move backward (away from the dock) at 2.9 m/s
A hypothesis test is used to test a claim. A P-value of 0.001 is calculated on the hypothesis test with a significance level set at 0.01.Which of the following is the correct decision statement for the test?A. Claim the null hypothesis is true.B. Claim the alternative hypothesis is false.C. Reject the null hypothesis.D. Fail to reject the null hypothesis.
Since, the p-value of 0.001 and the significance level is 0.01, we will reject the null hypothesis.
Hence, the correct option is option C. We reject the null hypothesis.
The null hypothesis is basically a characteristic arithmetic theory suggesting that no statistical relationship as well as significance exists in a particular set of the given, single, observed variables between the two sets of observed data as well as the measured phenomena.
We accept the null hypothesis when the p-value is more than the significance level and we reject the null hypothesis when the p-value is lesser than the value of significance. Since, here the p-value is 0.001 which lesser than the significance level, which is 0.01, we will reject the null hypothesis.
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can the temperature of a system remain constant even though heat flows into or out of it? if so, give examples.
can the temperature of a system remain constant even though heat flows into or out of it? if so, give examples.
It is possible for a system's temperature to stay constant despite heat flow. It's called an isothermal process.
The average thermal energy of a system's component particles is gauged by the temperature of the system. The heat transfer that occurs between the system and its surroundings may be described using this state variable, which is what it is called. Heat flow can have an impact on a system's temperature, but under some circumstances, it won't change the temperature of the system.
Some instances are:
1. Containers with internal heat sources or sinks that are thermally insulated.
2. In an insulated piston-cylinder arrangement, adiabatic expansion or compression of ideal gases.
3. The gas expands isothermally as it travels through a porous stopper due to the Joule-Thomson effect.
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which is correct in reference to electrical resistance? group of answer choices two electrical devices will have the same combined resistance if they are connected in series as they will have if connected in parallel. if one of three bulbs in a parallel lighting circuit is removed, the total resistance of the circuit will become greater. an electrical device that has a high resistance will use more power than one with a low resistance with the same applied voltage.
The correct statements are;
If one of three bulbs in a parallel lighting circuit is removed, the total resistance of the circuit will become greater. An electrical device that has a high resistance will use more power than one with a low resistance with the same applied voltage.What is electrical resistance?Electrical resistance is the measure of a material's opposition to the flow of electric current, resulting in energy loss as heat.
We have to note that the resistance of the object would determine the magnitude of the electrical current that can be able to pass through the material.
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the escape velocity from earth at point a is 5.6 km/s. how far is point a from the earth center? the earth's escape velocity at its surface is 11.2km/s and the radius of the earth is r km. group of answer choices 4r km r/4 km r/2 km 2r km
The escape velocity is 5.6 km/s at a point 4R kilometer from the center of the Earth, if R is the radius of the Earth.
Escape velocity is formulated as: v = √(2GM/R)
Escape velocity at the surface of the Earth, v₁ = 11.2 km/s
Let at the height of h km the escape velocity, = 5.6 km/s
Let the radius of the Earth = R
v² = 2GM/R
11.2² = 2GM/R....equation (1)
5.6² = 2GM/h....equation (2)
On dividing equation (1) by equation (2)
11.2²/5.6² = [2GM/R]/[2GM/h]
125.44/31.36 = h/R
h = 4R
Hence option A is correct.
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--The given question is incomplete, the complete question is:
"The escape velocity from earth at point a is 5.6 km/s. how far is point a from the earth center? the earth's escape velocity at its surface is 11.2km/s and the radius of the earth is r km. group of answer choices are A) 4R km B) R/4 km C) R/2 km D) 2R km"--
"they changed the name from global warming to climate change because global warming stopped happening" what type of scientific misconception would you classify this as?
Answer:
This statement is a common misconception and would be classified as misinformation. The term "global warming" is often used to refer to the overall increase in the Earth's average surface temperature, which is primarily caused by human activity, such as the burning of fossil fuels and deforestation. The term "climate change" is used to describe the broader range of changes that are occurring in the Earth's climate, including not only warming but also changes in precipitation, sea level, and other factors. While there have been periods of slower warming, the Earth's average surface temperature has continued to rise overall, and is projected to continue to do so in the future.
When a swimmer stands on a high diving board, he has 5800 J of PE relative to the surface of the water. What is his PE and KE the instant he steps off the board when he is half way to the water just before he hits the water
(a) When the swimmer steps off the diving board, his initial PE is 5800 J and his initial KE is zero.
(b) At the instant he is half way to the water just before he hits the water, then PE = KE = 0.5 * 5800 J = 2900 J.
The conservation of energy principle states that the initial potential energy (PE) plus the initial kinetic energy (KE) is equal to the final PE plus the final KE. When the swimmer steps off the diving board, his initial PE is 5800 J and his initial KE is zero.
As he falls towards the water, some of his potential energy is converted into kinetic energy (KE = 1/2 mv²). At the instant he is half way to the water just before he hits the water, half of his initial PE has been converted into KE, so his PE and KE are both equal to half of his initial PE:
PE = KE = 0.5 × 5800 J = 2900 J
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how many revolutions does the object make during the first 3.4 s s ? express your answer using two significant figures. view available hint(s)
Number of revolutions the object make during the first 3.4 s is, 8.4.
The nature of the graph of the angular velocity vs time gives information about the angular acceleration of the body and the angular displacement of the body.
Revolutions is given by, the angular displacement divided by the total angular replacement in full circle.
Total angular replacement in full circle is 2π.
Looking at the graph, the angular displacement in time t is given by,
20 + (10 t)
The angular displacement in first 3.4 seconds.
20+ 10(3.4) = 54
Using the formula for number of revolutions,
Number of revolutions = 54/2π
Number of revolutions = 8.4
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two bodies begin a free fall from rest from the same height 1.0 seconds apart. how long after the first body begins to fall will the two bodies be 10 m apart?
One second apart, two bodies start free falling from the same height after coming to rest. When the two bodies are 10 m apart, the first body will start to fall, taking 1.73 seconds.
To solve this problem, we will use the equation for the acceleration due to gravity, which is a = g = 9.8 m/s2. We can use this equation to calculate the time it will take for the first body to fall 10 m, starting from rest.
The equation for distance travelled (s) due to a constant acceleration (a) is
s = ut + 0.5at2
Where u is the initial velocity (in this case, 0 m/s) and t is the time taken.
Putting values, we get
10 = 0 + 0.5 x 9.8 x t2
Solving for t, we get
t = √(20/9.8) = 1.73 s
Therefore, it will take 1.73 seconds for the first body to fall from a height 10 m, starting from rest.
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g an insulating rod is positively charged, and an electrically neutral conducting sphere is mounted on an insulating stand. the rod is brought near to the sphere on the left, but they never actually touch. which image that best represents the resulting charge distribution on the conducting sphere?
The image where the rod is held near to the left side of the sphere on the stand, making the left side of the sphere become positively charged, best represents the resulting charge distribution on the conducting sphere.
Since the rod is too far away to contact the remaining portion of the sphere, it will remain neutral. The electrons in the sphere's substance will be drawn away from the positive charge on the left side of the sphere, leaving a region of positive charge there. The electrons will stay put on the right side of the sphere, creating a neutral charge there.
The image is provided below
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8. A 50.0 kg woman, riding on a 10 kg cart, is moving east at 5.0 m/s. The woman jumps off the front of the cart and lands on the ground at 7.0 m/s eastward. What is the final velocity of the cart
Answer:
To find the final velocity of the cart, we can use the conservation of momentum principle. Momentum is defined as mass times velocity, and in an isolated system, the total momentum before an event equals the total momentum after the event.
Before the woman jumps off the cart, the total momentum of the system is (50 kg)(5 m/s) = 250 kg m/s. After the woman jumps off, the total momentum of the cart is (10 kg)(v), where v is the final velocity of the cart.
Using the conservation of momentum principle, we can write the following equation:
(50 kg)(5 m/s) = (10 kg)(v) + (50 kg)(7 m/s)
Solving for v, we get:
v = (250 kg m/s - (50 kg)(7 m/s)) / 10 kg
v = -25/10
v = -2.5 m/s
So the final velocity of the cart is -2.5 m/s (westward direction)
suppose that yesterday you had a mass of 50.0 kg. this morning you stepped on a scale and found that you had gained weight. what happened, if anything, to your mass? what happened, if anything, to the ratio of your weight to your mass?
If you gained weight, your mass increased. The ratio of your weight to your mass would have increased as well, since weight is directly proportional to mass.
Weight is the force of gravity on an object, and is equal to the mass of an object multiplied by the acceleration due to gravity. Therefore, if the mass of the object increases, the weight of the object increases as well.
Additionally, the ratio of weight to mass will increase as the mass increases. Since weight is directly proportional to mass, as the mass increases, the ratio of weight to mass will increase as well. This is because when the mass is larger, the weight of the object will be greater compared to its mass.
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