The principle of conservation of energy remains true under all circumstances except those that involve the effects of special relativity, while the principle of conservation of mass has been replaced by the principle of conservation of mass-energy.
The classical laws of conservation of energy and mass were established in the late 18th century and remain essential to our understanding of the natural world. Modern physics, however, has shown that these laws are only true under certain circumstances. This has led to the development of new laws that take into account the effects of special and general relativity.
Conservation of energy is a fundamental principle of classical mechanics, which states that energy cannot be created or destroyed, only converted from one form to another. This principle holds true under all circumstances except those that involve the effects of special relativity. In these cases, energy can be converted into mass, which is the famous equation E=mc². Mass and energy are therefore interchangeable, and the total amount of energy and mass in the universe remains constant.
Conservation of mass, on the other hand, is a principle that states that the mass of an isolated system cannot change. This law is true in classical mechanics, but in the context of general relativity, it is more accurate to say that the total mass-energy of a system cannot change. This is because energy can be converted into mass and vice versa, so the total mass-energy remains constant. In summary, the classical laws of conservation of energy and mass have been modified by modern relativity, which takes into account the effects of special and general relativity.
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SECTION 3 REVIEW
34. MAINIDEA Hold a ball motionless in your hand in the
air as in Figure 20. Identify each force acting on the ball
and its interaction pair.
The forces that act on the ball as it is held motionless is the weight and the normal reaction.
What is the force acting on the ball?We now that force is a vector quantity. This implies that force has magnitude and it also has direction. The direction of the force is what makes it possible for us to resolve a force into its components in the vertical and the horizontal planes.
In this case, when we hold the ball motionless, the forces that act on the ball are the weight of the ball and the normal reaction on the ball. The weight acts downwards while the normal reaction acts upwards.
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(03.05 LC)
A. Propane, a renewable resource, is used in some heating systems.
B. Wind power can turn turbines to generate electrical power.
C. Oil, a renewable resource, is processed to make jet fuel.
D. Geothermal power is generated from moving water.
I dont see the question to this
Answer:
The correct answer would be B
Explanation:
I took the test and we use wind and turbines to create a renewable energy source.
According to the law of conservation of energy, how are potential energy and kinetic energy related?
A. In a closed system, the potential energy at the bottom is equal to the kinetic energy at the top.
B. The potential energy of a closed system will always be more than the kinetic energy.
C. In a closed system, the kinetic energy is twice the amount of the potential energy.
D. There is no relationship between kinetic energy and potential energy.
Answer:
A. In a closed system, the potential energy at the bottom is equal to the kinetic energy at the top.
Explanation:
According to the law of conservation of energy, energy is neither created nor destroyed but transformed from one form to another.
Potential energy is the energy due to the position of a bodyKinetic energy is the energy due to the motion of a body.Based on the premise of the law of conservation of energy, both kinetic energy and potential energy are equal at the top and bottom in the system.
This way energy is conserved.
A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
A block with a mass of 55 kg is pulled with a force of 220 N. Assuming a frictionless surface, what will be the acceleration of the block?
OA
0.25 m/s2
о
B
4.0 m/s2
O.
9.8 m/s2
Oo. 22 m/s2
2022 huminate Education
PLS HELP HELO ME!!!
Answer:
B) 4 m/s²
Explanation:
Since the surface it's kept on is frictionless, the net external force acting on the block will be 220 N.Mass of the block = 55 kg\( \boxed{ \sf{ F= m \times a}}\)
Here,
F is the net external force applied to an object,m is the mass of that object, anda is the acceleration it acquires.Substituting the respective values for F and m:
==> 220 = 55 × a
==> 220 = 55 × a
dividing the equation by 55:
==> 4 = a
Therefore, an object of 55 kg when pulled across a frictionless surface by a force of 220 N accelerates at 4 (m/s)/s
As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area ( 8989 km/h) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 4747 meters. Because fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0. 5360. 536 and 0. 5990. 599 , whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0. 3500. 350 and 0. 4800. 480. Vehicles of all types travel on the road, from small cars with a mass of 563563 kg to large trucks with a mass of 39513951 kg. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection
The minimum and maximum braking distances needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection are as follows:
- For small cars: Minimum ≈ 1773.028 m, Maximum ≈ 1568.850 m
- For large trucks: Minimum ≈ 3285.760 m, Maximum ≈ 2409.595 m
To calculate the minimum and maximum braking distances, we can use the equations of motion for a decelerating vehicle.
The equation for the braking distance of a vehicle is given by:
d = (v^2) / (2 * μ * g)
where d is the braking distance, v is the initial velocity of the vehicle, μ is the coefficient of friction between the tires and the road, and g is the acceleration due to gravity.
Let's calculate the minimum and maximum braking distances separately for small cars and large trucks.
For small cars with a mass of 563 kg:
- Minimum braking distance:
v = 8989 km/h = (8989 * 1000) / 3600 m/s = 2496.944 m/s
μ_min = 0.536
d_min = (v^2) / (2 * μ_min * g) = (2496.944^2) / (2 * 0.536 * 9.8) ≈ 1773.028 m
Maximum braking distance:
μ_max = 0.599
\(d_max = (v^2) / (2 * μ_max * g) = (2496.944^2) / (2 * 0.599 * 9.8) ≈ 1568.850 m\)
For large trucks with a mass of 3951395 kg:
- Minimum braking distance:
v = 8989 km/h = 2496.944 m/s (same as for small cars)
μ_min = 0.350
\(d_min = (v^2) / (2 * μ_min * g) = (2496.944^2) / (2 * 0.350 * 9.8) ≈ 3285.760 m\)
Maximum braking distance:
μ_max = 0.480
\(d_max = (v^2) / (2 * μ_max * g) = (2496.944^2) / (2 * 0.480 * 9.8) ≈ 2409.595 m\)
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can you help me with some of these questions
Answer:
well u better check the quality of the attachment, first.
all I can see is printer, house, red car and cyan blue bar sadly
what is the definition for volume and density
Answer:
volume :: is the level at which something is heard or the amount of space that something takes up.
Density :: is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume.
Answer:
The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: {\displaystyle \rho ={\frac {m}{V}}} where ρ is the density, m is the mass, and V is the volume
A rock with a mass of 55 kg is on top of a cliff that is 27 m high. Calculate the gravitational potential energy of the rock.
A 14553 J
B. 145.5 J
c. 91.8 J
D. 2.3 J
Answer:
A. 14553 J
Explanation:
GPE (Gravitational Potential Energy) = mgh
m = 55
g = 9.8 m/s²
h = 27
GPE = 55(9.8)(27) = 14553 J
determine the magnitude of the current flowing through a 10 ms conductance if the voltage across it is (a) 2 mv; (b) −1 v; (c) 100 e−2t v; (d) 5 sin(5t) v; (e) 0 v.
The magnitude of current flowing through the conductance is:
(a) 0.2 A.
(b) 100 A.
(c) 10 e^(-2t) A.
(d) 0.5 sin(5t) A.
(e) 0 A.
To determine the magnitude of the current flowing through a conductance, we need to use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across it divided by its conductance (G).
Ohm's Law equation: I = V / G
Given the voltage across the conductance in each case, we can calculate the current magnitude using the given conductance values.
(a) Voltage = 2 mV, Conductance = 10 mS (10 ms)
I = (2 mV) / (10 mS)
I = 0.2 A
The magnitude of the current flowing through the conductance is 0.2 A.
(b) Voltage = -1 V, Conductance = 10 mS (10 ms)
I = (-1 V) / (10 mS)
I = -100 A
The magnitude of the current flowing through the conductance is 100 A.
(c) Voltage = 100 e^(-2t) V, Conductance = 10 mS (10 ms)
I = (100 e^(-2t)) / (10 mS)
I = 10 e^(-2t) A
The magnitude of the current flowing through the conductance is 10 e^(-2t) A.
(d) Voltage = 5 sin(5t) V, Conductance = 10 mS (10 ms)
I = (5 sin(5t)) / (10 mS)
I = 0.5 sin(5t) A
The magnitude of the current flowing through the conductance is 0.5 sin(5t) A.
(e) Voltage = 0 V, Conductance = 10 mS (10 ms)
I = (0 V) / (10 mS)
I = 0 A
The magnitude of the current flowing through the conductance is 0 A.
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A car driving down the road runs out of gasoline. Which of Newton’s laws explains why the car continues to move without gasoline?
Answer:
because the car needs gas so why wouldnt it stop working
Explanation:
a ball is thrown straight downward from the top of a tall building. the initial speed of the ball is 10 m
It takes approximately 5.52 seconds for the ball to reach the ground when thrown straight downward from a height of 150 meters with an initial speed of 10 m/s.
The initial speed of the ball is given as 10 m/s. The ball is thrown straight downward from the top of a tall building.
To calculate the time it takes for the ball to reach the ground, we can use the equation for the motion of an object in free fall:
h = (1/2)gt^2 where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time.
In this case, the initial height is not provided, so we cannot directly calculate the time it takes for the ball to reach the ground. However, we can use the fact that the ball is thrown downward to make an assumption about the initial height.
Since the ball is thrown downward, it is safe to assume that the initial height is positive. Let's assume the initial height is 150 meters.
Substituting the values into the equation, we have:
150 = (1/2)(9.8)t^2
To solve for t, we can rearrange the equation:
t^2 = (2 * 150) / 9.8
t^2 = 300 / 9.8
t^2 = 30.61
Taking the square root of both sides, we find:
t = √30.61
t = 5.52
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Describe how reactivity changes as you go down Group 1A.
Answer:
it is a the answer is a btw
Explanation:
Which of the following statements is true in regards to heat?
The statements true in regards to heat is 3. Heat is a form of energy, can be reflected by a mirror, and cannot pass through a vacuum.
What is heat?Heat is a form of energy. Heat is the transfer of thermal energy from one object to another. Thermal energy is the energy of motion of the particles in an object. Heat can be reflected by a mirror. Heat is a form of electromagnetic radiation, and electromagnetic radiation can be reflected by mirrors.
Heat cannot pass through a vacuum. Heat is a form of electromagnetic radiation, and electromagnetic radiation cannot pass through a vacuum. Heat is not an electromagnetic radiation. It is a form of energy that is transferred from one object to another because of a difference in temperature.
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Complete question:
Which of the following statements are true regarding heat?
(a) Heat is a form of energy
(b) Heat can be reflected by mirror
(c) Heat is an electromagnetic radiation
(d) Heat can pass through vacuum
Select the correct answer from the codes given below :
1. 1, 2 and 3
2. 2, 3 and 4
3. 1, 2 and 4
4. 1, 3 and 4
Not including thinking distance, lawful brakes must stop a car at 20 miles per hour within how many feet?.
Answer:
25 feet
Explanation:
Car brakes must stop a car moving at 20m/h within 25 feet
According to standard guidelines, the required stopping distance for a car traveling at 20 miles per hour must be within approximately 20 feet.
It's important to note that this estimate assumes ideal road and weather conditions, as well as a properly functioning braking system.
Actual stopping distances can vary depending on factors such as vehicle condition, road conditions (e.g., wet or icy surfaces), tire grip, driver reaction time, and other variables.
The required stopping distance for a car traveling at 20 miles per hour must be within approximately 20 feet.
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two resistors, a and b, are connected in series to a 9 v battery. the first resistor, resistor a, has a voltage of 6 v across it. which resistor has the largest resistance?
To find the resistor with the largest resistance, let's use Ohm's law formula V = IR. where V is the voltage, I is the current, and R is the resistance. The resistor A has the largest resistance. The correct answer is resistor A.
We are given that two resistors, A and B, are connected in series to a 9 V battery. Also, the first resistor, A, has a voltage of 6 V across it. This means that the voltage across resistor B is 9 V - 6 V = 3 V.
Now, let's find the resistance of resistor A using Ohm's law:
R = V / I
where V = 6 V and I is the same as the current flowing through resistor B since they are connected in series. Let's assume the current is I.
Therefore,
Ra = 6 V / I
Now, let's find the resistance of resistor B using Ohm's law:
R = V / I
where V = 3 V and I is the current flowing through both resistors in series.
Therefore,
Rb = 3 V / I
We are to find which resistor has the largest resistance.
This means we should compare Ra and Rb.
Ra = 6 V / I
Rb = 3 V / I
To compare the two resistances, we can simplify them as follows:
Ra = 6 / I
Rb = 3 / I
We can see that Ra is twice the value of Rb.
Therefore, resistor A has the largest resistance. Answer: Resistor A
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Q2. Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. Calculate the time taken by the train to cover this distance.
Answer: 20 minutes
Explanation:
Given the following :
Average speed of train = 120km/hr
Distance = 40km.
The time take by the train moving at an average speed of 120km/hr to cover a distance of 40km due is ;
Recall:
Speed = distance / time
Therefore,
Time taken = distance covered / speed
Time taken = 40km / 120km/hr
Time taken = 1/ 3 hr
Therefore, 1/3 rd of an hour equals
1/3 × 60 = 20 minutes.
Time taken) 20 minutes
Time taken by tain to cover distance is 20 minutes as:
Distance= 40 km
Speed= 120 km/h
Time= distance/speed
= 40/120
= 1/3 hour
= 20 min
or =0.33 hrs
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a river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water is pointed due east as it crosses from the west bank - the boat reaches the east bank
A river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water .The resultant distance will be 141m.
Option A is correct.
The sum of an object's individual vector velocities is its final velocity. The scalar product of an object's mass and its acceleration vector is equal to the sum of its vector forces.
Elaborating:Considering that the boat travels in a river that flows 1 m/s due south at a speed of 1 m/s due east.
The positive x and y axes should be represented by the north and east, respectively.
After that, we can convert the boat's resulting velocity into a vector.
Vr = i - j ( 1 m/s on x axis and -1m/s on y axis)
The time required to travel 100m from west to east at a speed of 1m/s is;
Time t = distance/speed = 100m/1m/s = 100s
Distance = velocity × time = (i - j) × 100 = 100i - 100j
Distance = 100i - 100j (in vector form)
Magnitude of the Resultant distance can be given as:
dr = √(dx ²+ dy²)
dr = √(100² + 100²)
dr = √(20000)
dr = 141.42m
dr = 141m
What are relative and resultant velocity?The relative velocity refers to how one observer would perceive another moving object within their own frame. The velocity of an object when there are multiple influences on its motion in a fixed reference frame is known as the resultant velocity.
How is the boat's resulting velocity determined?At the point when an item, say, a boat, goes at a specific speed, and the medium through which it voyages, say, a stream, has its own speed, we can track down the resultant speed of the item by adding the two speeds. We find the boat's resulting velocity vector in this example.
Incomplete question:
A river 100 m wide flows 1 m/s due south. A boat that travels 1 m/s relative to the water is pointed due east as it crosses from the west bank. Relative to its starting point, the boat travels
A) 141 m.
B) 100 m.
C) 200 m.
D) more than 200 m.
E) nowhere
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2. A quantity of gas is trapped by a piston in a cylinder with thin metal walls. The piston is free to move
without friction within the cylinder.
a) The air in the freezer is at atmospheric pressure, which is 1.0 × 105Pa. The area of the piston in
contact with the air in the freezer is 2.4 × 10–3m2
.
i. Calculate the force exerted on the piston by the air in the freezer.
ii. When the cylinder is first placed into the freezer, the temperature of the gas in the cylinder decreases
and the air pushes the piston into the cylinder. Calculate the work done on the piston by the air in the
freezer as the air pushes the piston at distance of 0.021m into the cylinder.
b) The initial temperature of the cylinder and the gas is 21°C and, in the freezer, the temperature of the
cylinder decreases to –18°C. The thermal capacity of the cylinder is 89J/ °C. Calculate the change in
the internal energy of the cylinder.
a)
i. The force exerted on the piston by the air in the freezer is 240 N.
ii. The work done on the piston by the air as it pushes the piston 0.021 m into the cylinder is 5.04 J.
b) The change in the internal energy of the cylinder is 3486 J.
a)
i. To calculate the force exerted on the piston by the air in the freezer, we can use the formula:
Force = Pressure * Area
Given:
Pressure (P) = 1.0 × \(10^5\) Pa
Area (A) = 2.4 ×\(10^(^-^3^) m^2\)
Substituting these values into the formula, we have:
Force = (1.0 × 10^5 Pa) * (2.4 ×\(10^(^-^3^) m^2)\)
= 240 N
ii. To calculate the work done on the piston by the air in the freezer as the air pushes the piston, we can use the formula:
Work = Force * Distance
Given:
Force = 240 N
Distance (d) = 0.021 m
Substituting these values into the formula, we have:
Work = (240 N) * (0.021 m)
= 5.04 J
b) To calculate the change in the internal energy of the cylinder, we can use the formula:
ΔU = mcΔT
Given:
Initial temperature (T1) = 21°C = 21 + 273 = 294 K
Final temperature (T2) = -18°C = -18 + 273 = 255 K
Thermal capacity (c) = 89 J/°C
Substituting these values into the formula, we have:
ΔU = (89 J/°C) * (294 K - 255 K)
= 3486 J
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Which type of wave moves both energy and the particles in the same direction as the medium?
Answer:
Longitudinal waves
Explanation:
With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.
From rest, a car accelerates to 4.2 m/s2 for 10 seconds before winning the race. How far did it run?
Write the final answer in complete sentence.
Answer:
\( s = ut + \frac{1}{2} a {t}^{2} \\ u = 0 \\ a = 4.2 \: m {sec}^{ - 2} \\ t = 10sec \\ s = 0 + \frac{1}{2} (4.2) {10}^{2} \\ = 1.2 \times 100 \\\boxed{ s = 120 \: m}\)
Urgent!!! A bowling ball dispenser takes 15 seconds to raise a 5 kg ball by 0.4 m, releasing it at some speed. If the power consumption of the dispenser is 10 W, what speed is the ball released at?
The speed of the ball released is 7.75 m/s.
Speed of the ballThe speed of the can be determined from the principle of conservation of energy as shown below;
supplied energy of the dispenser = kinetic energy of the ball
Power x time = kinetic energy of the ball
10 x 15 = ¹/₂ x 5 x v²
150 = 2.5v²
v² = 150/2.5
v² = 60
v = √60
v = 7.75 m/s
Thus, the speed of the ball released is 7.75 m/s.
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Using a material that is ‘Ohmic’ (it follows Ohm’s Law), you make a circuit using wire, a battery, and a resistor. After measuring V, I, and R across the circuit, you switch out the original resistor with one 3 times more resistive. When you measure V, I, and R again, how will the new values compare to the old?
When the original resistor is replaced with 3 times more resistive material, the resistance of the circuit increases by factor of 3 and the current flowing in the cirucit decreases by a factor 3.
Ohm's law
Ohm's law states that, the current flowing in a conductor is directly proportional to the potential across the conductor.
V = IR
where;
I is the current in the circuitV is voltageR is the resistanceWhen the resistance increases, the current flowing in the circuit decreases.
When the original resistor is replaced with 3 times more resistive material, the resistance of the circuit increases by factor of 3 and the current flowing in the cirucit decreases by a factor 3.
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Which event is an example of vaporization?
A. The outside of a glass of ice water becomes moist. B. Perspiration dries on a person's skin. C. A cloud forms in the sky
D. Frost forms on a blade of grass
Perspiration dries on a person's skin. The correct answer is option B.
Vaporization is the process by which a liquid changes into a gas or vapor, and perspiration is a liquid that is secreted by sweat glands in the skin. When perspiration dries on a person's skin, it is evaporating and changing into a gas due to the heat energy from the person's body. This is an example of the physical change of state from a liquid to a gas through vaporization. The other options do not involve a change of state from a liquid to a gas, and instead involve other processes such as condensation. Hence option B is the correct answer .
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The potential energy of an orange on a tree is 6.0 joules. The orange is 5m high. What is the orange's mass?
0.12 kg.
10 kg
100 g
1 kg
You would like to use Gauss"s law to find the electric field a
distance r
from a line charge. In order to take advantage of the symmetry of
the
situation, the integration should be performed over:
To take advantage of the symmetry of the situation when using Gauss's law to find the electric field from a line charge, you should choose a Gaussian surface that is also symmetrical.
In the case of a line charge, the most appropriate choice is a cylindrical Gaussian surface centered on the line charge. The Gaussian surface should be a cylinder with its axis aligned with the line charge and its length extending along the line charge. This choice allows us to exploit the cylindrical symmetry of the system.
By choosing a cylindrical Gaussian surface, the electric field will have a constant magnitude and be directed radially outward or inward at every point on the surface. This allows us to simplify the integration and perform it over a constant electric field. Thus, to find the electric field a distance r from a line charge using Gauss's law, the integration should be performed over a cylindrical Gaussian surface centered on the line charge with its axis aligned with the line charge.
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Animals often use more than one type of clue to help them to navigate. These clues include a sense of smell ('olfaction'') and remembering landmarks as well as using the Sun or the Earth's magnetic field. Suggest why an animal might use more than one type of clue to find its way.
Pls answer, will give 50 points.
An animal might use more than one type of clue to find its way due to change in the way one mechanism used to work.
Different animals have different senses heightened, that lets them use different mechanisms to navigate. Some of the mechanism include remembering landmarks, solar navigation, star navigation, magnetoreception, olfaction, gravity receptors etc.
For example, a bird using landmark to navigate will find it hard to navigate in the same way again if the landmark has been changed. So it has to depend on other senses such as olfaction or magnetoreception to navigate.
Therefore, an animal might use more than one type of clue to find its way due to change in the way one mechanism used to work.
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An LRC ac circuit has a reactance (due to its capacitance) of 17 kΩ, a reactance (due to its
inductance) of 9.0 kΩ, and a resistance of 28 kΩ. What is the power factor of the circuit?
A) 0.96
B) 0.28
C) 1.04
D) 0.48
To calculate the power factor of the LRC circuit, we need to determine the ratio of the resistance to the impedance. The correct option is A) 0.96.
The impedance of the circuit (Z) is given by the formula \(Z = \sqrt{(R^2 + (Xl - Xc)^2)\), where R is the resistance, Xl is the reactance due to inductance, and Xc is the reactance due to capacitance.
Substituting these values into the formula, we have\(Z = \sqrt{((28 k \Omega)^2 + (9.0 k \Omega - 17 k \Omega)^2).\)
Once we have the impedance, we can calculate the power factor (PF) by taking the ratio of the resistance to the impedance: \(PF = R / Z\).
To evaluate the expression for the power factor, we first need to calculate the impedance (Z) using the given values:
\(Z = \sqrt{((28 k\Omega)^2 + (9.0 k\Omega - 17 k\Omega)^2)\)
Simplifying the expression within the square root:
\(Z = \sqrt{((784 k\Omega^2) + (64 k\Omega^2))\\Z = 29.14 k\Omega\)
Next, we can calculate the power factor (PF) by dividing the resistance (R) by the impedance (Z):
\(PF = R / Z\\ = 28 k\Omega / 29.14 k\Omega\\PF = 0.96\)
Therefore, the power factor of the LRC circuit is approximately 0.96. Comparing this result to the answer choices, we can see that the correct option is A) 0.96.
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why plane mirror always give a virtual image (3 reasons})
A plane mirror always forms a virtual image because of the following reasons:
1. When light rays from an object fall on a plane mirror, they get reflected from the mirror. After reflection, they never meet at any point in real but they appear to meet at some point.
2. The image formed by a plane mirror cannot be obtained on a screen.
3. Plane mirrors never focus light into a single converging point.
which of the following is not a petroleum product
a. rayon clothing
b. a candle
c. petrochemicals
d. wool
Answer:
wool
Explanation:
Wool comes from sheep. Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.