The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
How do you calculate the radius of the event horizon?The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:
r = 2GM/c^2
where
r = radius of the event horizon (in meters)
G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)
M = mass of the black hole (in kg)
c = speed of light in a vacuum (2.998 x 10^8 m/s)
For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.
M = 10 x 1.989 x 10^30 kg
Now, we can substitute the values into the formula
r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2
r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2
r = 2.95 x 10^3 m = 2950 kilometers
So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
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L 9.4.3 Test (CST): Bond. Molecular Bond,
Question 10 of 25
Carbon dioxide with its two double bonds is an example of a polar molecule.
A. True
B. False
Answer:
False
Explanation:
Carbon dioxide is made up of polar molecules, but the dipole moments cancel each other out. Therefore, not a polar molecule.
"Carbon dioxide with its two double bonds is an example of a polar molecule" is False. The correct option is B.
Carbon dioxide (CO2) is a linear molecule with two polar C=O bonds that are oriented in opposite directions, making the molecule nonpolar overall. The polar bonds cancel out each other's dipole moment, resulting in a molecule with a zero dipole moment.
The dipole moment is a measure of the polarity of a molecule. It is the product of the charge on each end of a polar molecule and the distance between those charges. The dipole moment of a molecule indicates the strength and direction of the electric field generated by the molecule. In a polar molecule, the charges are distributed unevenly, leading to a positive charge at one end and a negative charge at the other end. This separation of charges results in the dipole moment. Dipole moments are expressed in units of Debye (D), where 1 Debye equals approximately 3.336 x 10⁻³⁰ Coulomb meters (C*m).
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Definition: This is the rate of distance traveled per unit of time, without regard to direction.
Example: 55 miles per hour on the highway
A visual representation of speed. It can also be used to denote speed. Without taking into account orientation, this is the rate of distance covered in a given amount of time.
What is speed?The speed and direction of a particle's motion are both considered to be the particle's velocity. The distance travelled as well as the direction it is veering.
While velocity refers to both the speed and direction of an object's motion, speed is only the rate at which an object moves along a path over time. In other words, velocity is a vector, but on the other hand speed is a scalar value.
We know that velocity is a vector quantity since it has both a magnitude and a direction. However, speed just has a magnitude and no direction, therefore it.
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Solve these 5 items in your notebook and take a clear and readable photo. PS. You need to balance the equation before u identify the type of chemical reaction.
Answer:
that is not physics pls dont do that again
Explanation:
At what voltage can a 10 μF capacitor be energized to 0.45 J?
Given :
Capacity of capacitor is, [tex]C = 10\ \mu F[/tex].
To Find :
At what voltage can a 10 μF capacitor be energized to 0.45 J.
Solution :
We know, energy in capacitor is given by :
[tex]E = \dfrac{CV^2}{2}[/tex]
So,
[tex]V = \sqrt{\dfrac{2E}{C}}\\\\V = \sqrt{\dfrac{2\times 0.45}{10}}\ \mu V\\\\V = 0.3 \ \mu V[/tex]
Therefore, voltage required is [tex]0.3 \ \mu V[/tex] .
An electrical conductor that has very low resistance to current at low temperatures is called a(n) .
An electrical conductor that has very low resistance to current at low temperatures is called a(n) Superconductor.
Superconductors are magnetic, right?A superconductor's hatred of magnetic fields is one of its basic characteristics. A superconductor generates its own equal and opposite magnetic field when a magnetic field is applied by a scientist.
What is the name of a permanent magnet's two poles?A north-seeking pole (north pole) and a south-seeking pole (south pole) are found at either end of every magnet. Depending on how they are arranged, these two oppositely charged poles enable magnets to both repel and attract other magnets.
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In some situations, matter demonstrates wave behavior rather than particle
behavior. This is best illustrated by which phenomenon?
A. Photoelectric effect
B. Emission spectra of atoms
О
C. Blackbody radiation
D. Interference patterns of electrons
Answer:
D. Interference patterns of electrons
Explanation:
Daniel and Christopher were on a plane traveling at a velocity of 200 km/hr south for 1,000 km. How long (in hours) was the plane flying at that velocity?
How many grams are in 268.0 mg
0.268 because grams are 1000 times bigger than mg
1 milligram = 0.001 grams
268.0mg * 0.001g
[tex]=\fbox{0.268 grams}[/tex]
How do you find thermal energy from kinetic and potential energy?
Thermal energy can be found from kinetic and potential energy by calculating the amount of work done on an object. Work is equal to the amount of force multiplied by the distance moved by the object.
The Kinetic energy is equal to the mass of the object multiplied by the square of its velocity. Potential energy is equal to the mass of the object multiplied by the acceleration of gravity multiplied by the height of the object. Thermal energy is equal to the sum of the kinetic and potential energies.
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What is the tangential speed of a passenger on a Ferris wheel that has a radius of 42 m and rotates once in 25 sec
Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.
Any object traveling in a circular motion has a linear speed known as tangential velocity. On a turntable, a point in the center moves less distance in a full rotation than a point near the outside edge. Tangential speed and tangential velocity are not the same thing. The amount of tangential velocity, which is generally referred to as velocity, is what you are referring to. Technically, the nomenclature is incorrect, and speed is actually its magnitude whereas tangential velocity comes with the direction, a.The circle's circumference divided by the duration required for one complete spin gives us the tangential velocity: 2*pi*r/t. The relationship between it and angular velocity is also shown by the formula V = w * r, w.To know more about tangential velocity here
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A person weighing 6:0 102 newtons rides an elevator upward at an average speed of 3.0 meters per second for 5.0 seconds. How much does this person's gravitational potential energy increase as a result of this ride
This ride increases this person's gravity potential energy by 9000 Joules.
What is gravitational force ?The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.
What is energy ?The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.
Weight of the person, W = 6 x 102 N = 600 N
Avg. Speed of elevator, v = 3 m/s
Time of ride, t = 5 sec.
Therefore,
Mass of the person, m = W/g = 600/9.8 = 61.2244 kg
Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m
Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15
PE = 9000 Joule
Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.
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A theme park is planning out a new free-fall ride. The drop is almost perfectly frictionless, with a distance of 190 meters. Assuming that the initial velocity was zero, what would be the speed at the bottom of the drop?
a-53 m/s
b-61 m/s
c-67 m/s
d-72 m/s
Answer:
Approximately [tex](-61)\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Under the assumptions, the vehicle would be in a free fall. Acceleration would be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].
Let [tex]u[/tex] denote the initial velocity of the vehicle. Let [tex]v[/tex] denote the velocity of the vehicle at the bottom of the drop. Let [tex]x[/tex] denote the displacement of the vehicle during the drop.
It is given that the initial velocity is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex]. During the drop, displacement would be [tex]x = (-190)\; {\rm m}[/tex] (negative since the vehicle is below where it started.) The value of final velocity [tex]v[/tex] needs to be found.
It is known that the vehicle is moving downwards at the end of the fall. Therefore, the value of [tex]v\![/tex] would be negative. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v[/tex] from [tex]u[/tex], [tex]a[/tex], and [tex]x[/tex].
[tex]\begin{aligned}v^{2} &= u^{2} + 2\, a\, x\end{aligned}[/tex].
[tex]\begin{aligned}v &= -\sqrt{u^{2} + 2\, a\, x} \\ &= -\sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (-9.81\; {\rm m\cdot s^{-2}})\, (-190\; {\rm m})} \\ &\approx (-61)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
(Note that [tex]v[/tex] is negative.)
In other words, the velocity of the vehicle would be approximately [tex](-61)\; {\rm m\cdot s^{-1}}[/tex] at the end of the drop.
Together, the car and trailer have a mass of 2000 kg. At what rate will the car and trailer accelerate?
The weight of the automobile and trailer together is 2000 kg. The vehicle will accelerate at a rate of 2.5 m/s2.
What does average acceleration formula entail?Acceleration is measured in meters per second squared (ms2), or m s 2. Formula for Average Acceleration: The final velocity minus the initial velocity, divided by the change in time, is the equation for average acceleration (a). A = v t = v f v I t.
What is the linear momentum formula?The product of an object's mass (m) and velocity (v) is its linear momentum. Higher momentum makes it more difficult to halt an object. P = mv is the equation for linear momentum.
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A student investigates the effect of a crumple zone on the force exerted during a collision The student has one trolley with a spring at the front and another trolley without a spring
silver foil
spring
silver foil
trolley
The student uses the arrangement in Figure 10.
trolley
silver foil
ramp
trolley
silver foil
rigid wall
too
Figure 10
000 ms
millisecond timer
After a trolley is released, it accelerates down a slope and bounces off a rigid wall
The speed of a trolley can be measured just before a collision with the wall and just after a collision with the wall.
The silver foils are connected to a millisecond timer.
The silver foils make contact with each other during the collision, so the time they are in contact can be read from the millisecond timer.
Explain how the student could investigate the effect of a crumple zone on the average force exerted during the collision.
Your explanation should include:
how to determine the force (you may wish to refer to an equation) how the effect of crumple zones may be shown in the investigation precautions that may be necessary to achieve accurate results.
(6)
The impulse allows to calculate which material is better to reduce the damage in a crash are:
Measure the speeds, time and calculate the force for each deformation, with the relationship.The best deformation zone is the one that gives the least force. Some care must be taken.* The most important is that the system starts from the same point so that the speed before the crash is always the same.
* The second is that the mass of the car plus the training materials is always the same.
* Check the zero and streamline of the equipment before measurements.
The student can use the relationship between impulse and momentum variation.
I = ∫ F dt = Δp
Where I is the momentum, F the force, t the time and Δp the variation of the momentum.
The momentum is defined by the product of the mass of the vehicle and the speed.
p = m v
Where m is the mass and v the velocity.
Since you want the average force, you can take the force out of the integral.
F t = m v_f -m v₀
They indicate that the system can measure the speed just before and after the collision with the wall, it is also capable of measuring the time of the collision, therefore we can calculate the force with the expression.
[tex]F = m \ \frac{v_f - v_o}{t}[/tex]
therefore the student can calculate the force for each type of deformation zone. The best deformation zone is the one that gives the least force.
Several cautions must be taken in the experiment:
* Exit from the same point each time.
* Keep the mass constant for the whole experiment, for this, care must be taken with the different weights of each material.
* Check that the equipment is properly calibrated and reset to zero before starting each measurement.
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25. What force must be exerted on the pedal cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the wheel cylinder
A hydraulic lift's master cylinder must be subjected to a force of 136N.
What is the tenet of the Archimedes Principle?According to Archimedes' principle, an object that is totally or partially submerged in a fluid will feel upward buoyant force that is equivalent in strength toward the point of gravity here on displaced fluid.
Where is the principle of Archimedes used?The design principle for vessels and submarines uses Archimedes' principle. The Archimedes principle is the foundation of hydrometers.
According to Archimedes' principle:
F1 / A1 = F2 / A2
F2 = (A2 / A1) * F1
Also, the formula for the force is F = mg.
The formula for the area of the cylinder is A = , therefore we get
F2 = ( π [tex](r2)^{2}[/tex] / π [tex](r1)^{2}[/tex] ) * mg
Since the cylinders' diameter is 2 cm and 24 cm, r1 = 12 and r2 = 1.
Substituting the values to the derived equation, we get
F2 = ( π [tex](1)^{2}[/tex] / π [tex](12)^{2}[/tex] ) * 2000 * 9.8
2 = 136 N
Thus, the force exerted must be 136N.
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There is a bell on top of a tower that is 45 meters high. The bell has a mass of 20 kg. Calculate its potential energy.
Answer:
9000 Joules
Explanation:
Potential energy = mass x acceleration due to gravity x height
mass = 20kg
acceleration due to gravity = 10m/s2
height = 45 meters
20 x 10 x 45 = 9000 Joules
Define the following
a. Friction:
b.Sliding friction:
c.Static friction
d.Rolling friction
e.Air resistance
f. Terminal velocity
g.Gravity
h.Weight
i. Centripetal force:
j.Momentum
These are just personal definitions of the following. They aren't official ones that may come from your textbook, but they are still accurate.
a. Friction is a force that acts against forces in contact with an object.
b. Sliding Friction is a force that acts against the forces making an object slide (e.g. the y component of the object's weight force if it's on an incline)
c. Static Friction is a force that acts on an object that is still/not moving.
d. Rolling Friction is the force making an object roll.
e. Air resistance is a frictional force that acts to slow down a falling object.
f. Terminal velocity is the maximum an object can reach while in free fall due to air resistance.
g. Gravity is a mutual attractive force in between two objects.
h. Weight is the mass of an object multiplied by the gravitational force (usually 9.81 for objects on earth). Weight is a force acting against the normal force keeping objects from phasing through each other.
i. Centripetal force is a force that acts on an object that is turning. This force pulls the object to the outside of the turning track.
j. Momentum is defined by mv (mass times velocity). Momentum is not a force, it is the idea that the motion of an object can depend on its mass and velocity.
I would check official dictionaries, just to make sure these definitions align with your textbook's.
What causes high latency?
A low bandwidth will result in a high ping (delay) and, most likely, lag while you're playing. It will also affect how quickly data is delivered and then received.
When latency is high, what does that mean?Because of the temporal lag caused by high latency, gaming might be much less enjoyable. It is essential because low latency allows for more fluid gameplay. Typically, a latency (or ping) of 40–60 milliseconds (ms) or less is considered to be acceptable.
What happens when latency is reduced?Your website resources will load more quickly if server latency is reduced, which will also improve the time it takes for visitors to load all of your pages.
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how much percent of the earth's water is drinkable?
01) When operating a simple machine an effort of 60N is used to lift the load of 240 N. Find the mechanical advantage.
02) When operating the same machine the effort arm moves 4m while load moves 1m. Find velocity ratio
03) In the same machine find work input.
04) In the same machine find work output.
05) Find the efficiency of this simple machine.
Useless answers will be reported!
Answer:
1 MA= load/effort
MA= 240/60
MA=4
2.VR=Distance moved by effort/ Distance moved by Load
VR=4/1
= 4
5. Efficiency= MA/VR
4/4*100/1
=100%
Two particles P and Q are initially at rest 1.64 m apart, P has a mass of 1.43 kg and Q a mass of 4.29 kg. P and Q attract each other with a constant force of 1.79 x 10-2 N. No external forces act on the system. (a) Describe the motion of the center of mass. (b) At what distance from P’s original position do the particles collide?
(a)The center of mass of the system has no acceleration, and remains at the same position as it was earlier.
(b)The particle P, collide at a distance 1.23m from P's original position.
What is acceleration?Vector quantities include accelerations. The direction of the net force imposed on an object determines its acceleration in relation to that force.Acceleration in a body is the result of imbalanced forces.The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not traveling straight ahead, it is said to be accelerating.To learn more about acceleration refer to:
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What theorem is presented based on the structure of the baseball field?
Pythagorean Theorem to determine the gap between second base and home plate.
Explain the pythagorean theorem.The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.
measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.
The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).
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What are the 4 components of latency?
The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.
What constitutes latency?The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.
How many different kinds of delay exist?Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.
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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?
The mass of the car that was at rest is 4800kg.
What is mass?
Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.
What is momentum?
As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.
m= 3600kg
Vi= 21.0m/s
Vf = 9.0m/s
conservation of momentum
mVi= (m+M) Vf
mass of rest car M = (Vi-Vf )m/Vf
M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s
M= 4800kg
Therefore, the mass of the car that was at rest is 4800kg.
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1. What are the criteria for accepting a theory as a physical law?
A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.
A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.
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A bicyclist maintains a constant velocity of
4. 0 m/s for a distance of 480 m. How long does it take the bicyclist to travel this distance?
A8s
B 120s C 476s D 1920s
The bicyclist will need to ride for a total time of 120 seconds in order to cover 480 meters of distance at a constant velocity of 4.0 meters per second.
In this scenario, we are provided with:
The distance of the ride is 480 meters.
The velocity is four meters per second
In order to calculate the time, we can use the following formula:
Time = Distance : Velocity
= 480 meters : 4.0 meters per second
= 120 seconds
Therefore, the amount of time a cyclist needs to travel would be 120 seconds.
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Please help! 50 points.
A student conducts an experiment to test how the temperature affects the amount of salt that can dissolve in water. In the experiment, she uses 150 milliliters of water in each trial and stirs for five minutes each time.
What is the dependent variable in this experiment?
the temperature of the water
the amount of water
the amount of salt
the time stirred
Answer:
i think its time stirred, double check. i hope it helped ;)
Explanation:
What is moment arm distance?
The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.
Moment distance: what is it?A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).
What exactly are moment and lever arms?The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.
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The tape in a videotape cassette has a total length 196 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed
Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.
Given data:
The total length of the videotape cassette is, L = 196 m.
The time interval for the play is, t=2h=2×3600=7200s
The outer radius of the tape is, r₀ = 48mm
The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm
The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:
[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)
Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.
r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]
r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]
r=35.35 mm
r ≅ 0.03535 m
And the cassette's linear speed is specified as,
[tex]v=\frac{L}{t}[/tex]
[tex]v[/tex] = 196/7200
[tex]v[/tex] = 0.027 m/s
Substitute the values in equation (1) as
[tex]\omega[/tex] = 0.027/0.03535
[tex]\omega[/tex] = 0.763 rad/s
As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.
The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.
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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
53.24 km/hr is the journey's average speed.
What is the SI unit for average speed?Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.
total radius. A scalar quantity, that is. M/s is its unit.
What does Formula 9 for Average Speed mean?The length of the entire path traveled divided by the duration of the motion is the definition of average speed.
Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km
Average trip speed would be 80.5/1.512=53.24 km.
Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.
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