The small car and the truck experience the same magnitude of momentum change.
The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".
From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.
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A solid sphere rolls along a horizontal, smooth surface at a constant linear speed without slipping.
What is the ratio between the rotational kinetic energy about the center of the sphere and the sphere’s total kinetic energy?
1. None of these
2. [tex]\frac{3}{5}[/tex]
3. [tex]\frac{3}{7}[/tex]
4. [tex]\frac{2}{5}[/tex]
5. [tex]\frac{7}{2}[/tex]
6. [tex]\frac{2}{7}[/tex]
7. [tex]\frac{5}{3}[/tex]
Answer:
6. 2/7
Explanation:
It's true
Compare the tension in the coupling between the first two cars of a train with the tension in the coupling between the last two cars when (a) the train's speed is constant and (b) the train is accelerating.
The tension between the cars when the train's speed is constant will be zero and when the train is accelerating then there will be more tension between first two cars than last two.
The coupling's tension T is equal to the force is used against it. It moves in the opposite direction of the force being applied. The acceleration will be 0 while the train is running at constant speed. Thus, there is tension at the value of the two specified cars will be zero.
The link between the vehicles feels tension as the train accelerates. Assume the train has n number of cars for the sake of clarity. T1 and T2 refer to the tension at the first two and last two cars, respectively.
Let m represent the car's mass. Due to its need to draw the (n-11) masses, the coupling between the first two vehicles is under the most strain. Consequently, there is tension on the coupling between first two vehicles are,
T₁= (n-1)ma
However, because they are only required to pull the final two cars, there is no friction between them. Hence,
T= ma
As a result, there is more tension between the first two cars than the last two.
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A +38 C point charge is placed 36 cm from an identical
+38 uC charge. A
- 1.5 C charge is moved from point A
to point B as shown in Fig. 17-47. What is the change in potential energy?
Charge multiplied by potential difference equals the decrease in potential energy (equation 20-2). The gain in thermal energy reflects the gain in potential energy, and this can be used to calculate the speed.
What causes a shift in potential energy?Potential Energy depletes in the direction of the gravitational force, which is the conservative force operating on the body in this instance. As a result of the fact that gravity always pulls something downward, a body's potential energy increases when it rises and decreases when it falls.
In simple terms, what is potential energy?This energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height below (or below) the zero height, it has gravitational potential energy.
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if a child of mass 40.2 kg sits in a seat, what is the tension in the chain (for the same angle)? answer in units of n.
The tension in the chain is the force acting on the child which is 394.76N.
What is tension the chain and calculate it?
The tension in the chain is equal to the force acting on the child in the seat. This force is equal to the child's weight, which is the force of gravity acting on the child's mass.
The weight of an object can be calculated using the formula:
Weight = mass x gravity
where mass is measured in kilograms and gravity is measured in meters per second squared. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
So, for a child with a mass of 40.2 kg, the weight would be:
Weight = 40.2 kg x 9.8 m/s^2 = 394.76 N
The tension in the chain is the force acting on the child which is 394.76N. However, it's important to note that this tension is in the direction of the force of gravity, which is downwards.
If the angle of the chain is different from the vertical direction, the tension in the chain will be affected by the angle and the force of gravity.
In this case, you would need the angle to determine the tension in the chain.
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The driver of a 1.00 x 10^3 kg car traveling on the interstate at 35.0 m/s (nearly 80.0 mph) slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant kinetic friction force of magnitude 8.00 x 10^3 N acts on the car. Ignore air resistance.At what minimum distance should the brakes be applied to avoid a collision with the other vehicle?
76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle. This can be solved using the concept of work-energy theorem.
What is work-energy theorem?The net work performed by forces acting on an object equals the change in kinetic energy, according to the work-energy theorem.
The Work-Energy theorem is used in that it is highly helpful in assessing scenarios where a stiff body should move under several forces. Due to its rigid structure, a rigid body can only have kinetic energy and cannot store potential energy in its lattice. The work-energy theorem may be able to offer some insight into the forces when an object's motion is known but the magnitudes of one or more of the forces acting on it are unknown. The work-energy theorem is valid both for constant and variable forces.
Given that,
mass (m) = 1.00 x 10³ kg
velocity(v) = 35.0 m/s
force (f) = 8000 N
As we know from work-energy theorem,
Δk = w
⇒ 1/2 mv² = f × d
⇒ d = mv² / (f × 2)
⇒ d = [1.00 x 10³ kg × (35.0 m/s)²] / (8000 N × 2)
⇒ d = 76.56 m
76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle.
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A dart is thrown horizontally at a speed of 12 m/s at the bull's-eye of a dartboard 2.7 m away. How far below the intended target does the dart hit
To solve this problem, we can use the equations of motion for projectile motion. Since the dart is thrown horizontally, we know that there is no vertical velocity and that the only acceleration acting on the dart is gravity, which is 9.8 m/s^2 downward.
The vertical motion of the dart can be described by the equation:
y = y0 + v0t + 0.5at^2
where y is the vertical position of the dart, y0 is the initial vertical position (which is 0 in this case), v0 is the initial vertical velocity (which is also 0), t is the time of flight, and a is the acceleration due to gravity.
To find the time of flight, we can use the horizontal motion of the dart, which is described by the equation:
x = x0 + v0t + 0.5at^2
where x is the horizontal position of the dart, x0 is the initial horizontal position (which is 0), v0 is the initial horizontal velocity (which is 12 m/s), and t is the time of flight.
We know that the horizontal position of the dart is 2.7 m, so we can substitute that into the equation and solve for t:
2.7 = 0 + 12t
t = 2.7/12 = 0.225 seconds
We can then substitute t and a into the vertical motion equation to find the vertical position of the dart:
y = 0 + 0 + 0.5(9.8)(0.225^2)
y = -0.061 m
So the dart hits 0.061 m below the intended target.
5.19 block a in fig. 8.32 has mass 1,00 kg, and block bla, block a? b) how much potential energy was stored in the
When blocks are forced together, they compress a massless spring between them, storing 0.75 J of potential energy in the process.
What is potential energy?Potential energy in physics is the energy that an object retains as a result of its position in relation to other objects, internal stresses, electric charge, or other elements. Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
Here,
let velocity of A be uf.
Maui+Mbvi=Mauf+Mbvb
0=1*uf+2*0.5
uf=-1 m/s
PE=ΔKE
=1/2*Ma*uf²+1/2*Mb*vf²
=1/2*1*1²+1/2*2*0.5²
PE=0.75 J
When blocks are forced together, a massless spring between them is compressed, storing 0.75 J of potential energy.
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complete question:
Block A in the figure has a mass of 1 kg and block B has a mass of 2 kg. The blocks are forced together compressing a mass-less spring between them and the system is released from rest on a level friction less surface. The spring is not fastened to either of the blocks, when spring regains its natural length, block B acquired a speed of 0.5 m/s. How much potential energy was stored in the compressed spring?
uppose that a slice of pizza at a temperature of 80 degrees has been placed inside a freezer, where the temperature is 2 degrees. if the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation:
The temperature after t hours is given by the equation T(t) is 2 + 78e-0.5955t
What is the temperature after t hours is given by the equation?That a piece of pizza that was 80 degrees at the time was put inside a freezer that was 2 degrees at the time. if the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation: dT/dt = k(T - 2
Put the variables apart: [1/(T-2)]
dT = kdt
Integrate the two sides as follows: ln l T-2 l = kt + C
ekt + C = l T - 2 l
T - 2 equals eCekt
To obtain T(t) = 2 + Cekt = temperature in t hours, rename eC to C.
2 + Cek(0) = 80 since T(0) = 80.
C = 78
T(t) = 2 + 78ekt
T(1) = 45, therefore 2 + 78ek = 45
78ek = 43
ek = 0.5512821
k = ln(0.5512821) = -0.5955
T(t) = 2 + 78e-0.5955t
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llustrate how energy is lost through an ecosystem at each trophic level (give 3 reasons), and explain the 10% rule.
90% of energy may be lost as heat (emitted during respiration), through motion, or in foods that people cannot digest at trophic level.
Energy is lost as metabolic heat when animals from one trophic level are ingested by species from the next level, hence energy diminishes as it goes up the food chain. Energy transmission between trophic levels is quantified by trophic level transfer efficiency (TLTE). The next trophic level's access to energy is determined by the 10% rule. 10% of the energy that is transferred between trophic levels becomes available for the following level. (The shift from the sun to producers is the exception; in this scenario, just 1% of the energy is maintained.)
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when an object effected by gravity on earth is spinning in a non-vertical circle, there is a small angle between the spin of the object and the actual horizontal
For minor displacements, gravity has very little effect on an object's horizontal motion. This suggests that the spin and horizontal are at a little angle and that the horizontal velocity is constant.
Motion is defined as a change in an object's location with respect to time. A book tumbling off a table, water running from a faucet, rattling windows, etc. are examples of motion. In physics, a force is an effect that has the ability to change how an object moves. A mass-containing object's velocity or acceleration can be altered by a force (for example, moving from a condition of rest). Force can also be intuitively described as a push or a pull.
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The complete question is-
when an object effected by gravity on earth is spinning in a non-vertical circle, there is a small angle between the spin of the object and the actual horizontal, explain?
a force is applied to a block sliding along a surface (figure 2). the magnitude of the force is 15 nn , and the horizontal component of the force is 4.5 nn . at what angle (in degrees) above the horizontal is the force directed? express your answer in degrees to two significant figures.
As a result, the force is pointed 72.5 degrees above the horizontal. The resulting force given to an item is precisely proportional to the object's mass and acceleration, according to Newton's second law of motion.
If a force of size F = 15 N is applied at an angle from the horizontal, its horizontal component is F cos and its vertical component is F sin.
Given is the horizontal component, F cos = 4.5 N 15 N. cos = 4.5 N, cos = 0.3, cos = cos1 0.3, and cos = 72.5°
In the everyday lives of students, the word "force" may signify many different things. These widespread interpretations have a significant impact on how pupils grasp the concept of "force."
Students frequently hold the belief that forces have some sort of tangible presence and are ingrained in moving objects. An item in motion is said to "contain" or "have" force. Some pupils believe that such a force maintains motion;
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at the county fair, chris throws a 0.12 kg baseball at a 2.4 kg wooden milk bottle, hoping to knock it off its stand and win a prize. the ball bounces straight back at 10 % of its incoming speed, knocking the bottle straight forward.
The bottle's speed, as a percentage of the ball's incoming speed hence 6.5% Initial=Final The left side of Initial is and the right side of Final m1v1+m2v2= 0.065
What is the beginning?the name's initial letter. initials plural: each word's first letter in a whole name. discovered that they shared the same initials: a capital letter that starts a sentence, paragraph, or division.The ball weighs 0.12 kilogram.
m1= 0.12 kg Ball
m2= 2.4 kg Wooden Bottle
Initial=Final ( no impulse going on) Initial is the left side and Final the right side
m1v1+m2v2= - m1v1+m2v2 (negative the final m1v1 because it goes contrary as it bounces back)
Your equation should look:
0.12kg(v1)+0 (bottle was on rest)= -0.12(0.3)v1+ 2.4kgv2
0.12kgv1 + 0.036v1=2.4kgV2
0.156V1=2.4kgV2
0.065=(v2/v1)
hence 6.5%
Is it okay to use my last name's initial?Your family is known by your last name. It is also known as "last name." When completing applications, type your last name exactly as it appears on your identity or travel document. Use only full names.
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The correct question is
At the county fair, Chris throws a 0.12kg baseball at a 2.4kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 30% of its incoming speed, knocking the bottle straight forward.
What is the bottle's speed, as a percentage of the ball's incoming speed?
Express your answer using two significant figures.
A man lifts a 19 kg barbell 0.6 m above his head in 0.5 sec. How much power (in watts) does he generate?
The power (in watts) generated by the man, given that he lifts a 19 Kg barbell 0.6 m above his head in 0.5 sec is 223.44 W
How do i determine the power generated by the man?Power can be defined as the rate at which work is done. The mathematical representation of power is given below:
Power (P) = work (W) / time (t)
But
Work = mass (m) × acceleration due to gravity (g) × height (h)
Therefore,
P = mgh / t
Using the above formula, we can obtain the power generated by the man as follow:
Mass (m) = 19 KgHeight (h) = 0.6 mTime (t) = 0.5 secondsAcceleration due to gravity (g) = 9.8 m/s² Power (P) = ?P = mgh / t
P = (19 × 9.8 × 0.6) / 0.5
P = 111.72 / 0.5
P = 223.44 W
Thus, we can conclude that the power generated is 223.44 W
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You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (11.0 - 0.2) cm, x2 = (6.2 +0.4) cm, and x3 = (16.3 + 0.2). What is the uncertainty of the total distance x1 + x2 + x3? 0.5 cm O 0.7 cm 0.8 cm 0.9 cm O 0.6 cm
The uncertainty of the total distance is 0.8 cm. It applies to physical measurements that have previously been performed, to the unknown, and to projections of future events.
What causes measurement uncertainty?No matter how precise or accurate a measurement is, there is some degree of uncertainty. This is due to two things: the measurement tool's limitations (systematic error) and the experimenter's measurement expertise (random error).
How do you determine a measurement's level of uncertainty?The uncertainty of a measurement is often calculated by taking one-half the unit of the last decimal point in the measurement.
What significance does measurement uncertainty have?For risk analysis and decision-making, the capacity to measure uncertainty is crucial. Businesses make decisions every day using reports with information from quantitative measurements. Inaccurate measuring data raise decision-risks. The wrong supplier selection may result in subpar product quality.
Given:
x1 = (11.0 - 0.2) cm
x2 = (6.2 +0.4) cm
x3 = (16.3 + 0.2)
Uncertainty of the total distance x1 + x2 + x3 = 0.2+0.4+0.2
Uncertainty of the total distance x1 + x2 + x3 = 0.8
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The type of galaxy that consists almost entirely of old stars and is thus less blue (more yellow and reddish) than the other types is:a.) elliptical
b.) barred spiral
c.) all of the above consist almost entirely of old stars
d.) spiral
e.) irregular
The type of galaxy that consists almost entirely of old stars and is thus less blue than the other types is: a.) elliptical.
What do you understand by galaxy?Galaxy is a sprawling space system that is composed of stars, dust, interstellar gas, stellar remnants and dark matter. They are all held together by gravity and the word 'Galaxy' is termed from the Greek word 'galaxies'. Their appearance and composition are shaped over billions of years by interactions with the groups of stars and other galaxies.
Recent studies of dynamics of galaxies confirm fundamental inference made 25 years ago from studies of the kinematics of stars within galaxies: on scales larger than galactic nuclei, dominant physical interaction is gravity.
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Along which of the lines (A to H) in (Figure 2) should charge 3 be placed so that the free-body diagrams of charge 1, charge 2, and charge 3 are consistent?
Line F should charge 3 be placed so that the free-body diagrams of charge 1, charge 2, and charge 3 are consistent.
What is free-body diagrams?
Free-body diagrams (FBDs) are a type of graphical representation used in engineering and physics to show the equilibrium of forces acting on a body or system. They are used to illustrate the components of a force and the sum of the forces acting on a body. They help to analyze the forces acting on a body in a given situation.
FBDs are a helpful tool for visualizing the magnitude and direction of each force acting on an object, and for determining the net force and the resulting motion of the object. FBDs depict the individual forces acting on a body, including external forces, weight, friction, and tension.
They also enable engineers to calculate the forces acting on an object, such as the forces acting on a beam or a structure, in order to design and build systems such as bridges, buildings, and machines.
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Complete question:
You toss a marble straight upward. Which of the following statements best describes the motion of the marble at the point where it reaches its maximum height?
A) At its maximum height, the marble has a velocity of 9.8 m/s downward.
B)At its maximum height, the marble has an upward velocity for an infinitesimal (zero-length) amount of time.
C)At its maximum height, the marble has a velocity of zero for an infinitesimal (zero-length) amount of time
The motion of marble at its highest point is best described by the following statements: The stone has a downward acceleration of 9.8 m/s at its highest point.
How is velocity determined?You divide the amount by the time that it takes you travel this very same distance to calculate velocity, and then users add your directions to it. For instance, if you were traveling west and covered 50 miles in an hour, your speed would be 50 mph westward or 50 miles per hour.
What are some examples of velocity?Velocity can be defined as the rate that an object moves in a specific direction. like the pace of a car driving north on something like a highway or the pace of a rocket, for instance after launch, travels. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
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The half-life of Po-211 is approximately 500 ms (half a second). Without using the PhET model, sketch a pie graph indicating the number of undecayed P0-211 atoms for a reaction starting with 100 total atoms. o t= 0.55 t=1.0s te1.55 t=2s Now, simulate the decay of 100 pd 211 atoms by adding 100 atoms from the "Bucket o Polonium". Sketch what the pie graph looks like at the times shown. t=0.5s t=1.0s t=1.55 t=2s 3 Compare VOL prediction to the resulte that heened Hourcan aynlain any discronancies?
The pie graphs would show the number of undecayed Po-211 atoms in each case.
What is half life?Half life is defined as the time that it takes for half of the original value of some amount of a radioactive element to decay.
Given, half-life of Po-211 is 500 ms
At t = 0.5s (500 ms), 50 atoms of Po-211 will have decayed, leaving 50 atoms remaining.
And at t = 1.0s, 25 atoms of Po-211 will have decayed, leaving 25 atoms remaining ; At t = 1.55s, 12.5 atoms of Po-211 will have decayed, leaving 12.5 atoms remaining ; At t = 2s, 6.25 atoms of Po-211 will have decayed, leaving 6.25 atoms remaining.
So, the pie graphs would show the number of undecayed Po-211 atoms in each case.
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coal is a source of nonrenewable energy commonly used in the united states for the generation of electricity. which of the following best explains why the supply of coal should be conserved since it is a source of nonrenewable energy?
The following best explains why supply of coal should be conserved since it is a source of nonrenewable energy :The conditions of the environment now are different from environment when coal first formed.
Why is coal considered as a non renewable energy source?Coal is classified as a nonrenewable energy source because it takes millions of years to form and coal contains energy stored by plants that lived hundreds of millions of years ago in swampy forests. Layers of dirt and rock covered the plants millions of years.
According to the U.S. Energy Information Administration, most of the electricity was generated by natural gas, nuclear energy, and coal in 2020. Electricity can also be produced from renewable sources such as wind, hydropower, solar power, biomass, wind and geothermal.
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Note : The question given on the portal is incomplete. Here is the complete question.
Question: Coal is a source of nonrenewable energy commonly used in the united states for the generation of electricity. which of the following best explains why the supply of coal should be conserved since it is a source of nonrenewable energy?
The conditions of the environment now are different from environment when coal first formed.
Coal is not largest source of energy for generating electricity in the world.
Once they exhausted, they can be renewed again for millions of years.
Coal is easy to store.
Please help with B I don’t understand why you have to switch it round!!!
Answer:
W = 90 kg* 9.8 m/s^2 = 882 N apparent weight of stretcher and occupant
F = M a straightforward application of Newton's Second Law
F = (940.5 - 882) a
a = .65 m/s^2 acceleration of stretcher and occupant
Which of the following statements are true of the horizontal motion of a projectile? Select all that apply.-the horizontal velocity is a constant value.
-the horizontal acceleration is o m/s^2.
-there are no horizontal forces acting upon the object.
The horizontal velocity of a projectile with a horizontal component of motion will never change. At the top of its trajectory, a projectile's horizontal velocity is zero meters per second.
What does motion imply? Simply put?
Motion is the slow, long-term shift in an object's location. Motion is defined in terms of displacement, distance, momentum, acceleration, time, and speed. Motion can be experienced while walking, cycling, leaping, bathing, eating, drinking, playing, typing, watching moving cars, and tossing a ball.
Why is movement important to your well-being?
Motionless is death. As much as it needs food, water, or air, your body needs movement. It provides the brain with the essential nutrients it needs to be stimulated (known as proprioception).
The vertical and horizontal velocities of a projectile are independent of one another; the horizontal velocity is unaffected by the vertical velocity.
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a cyclist rides 6.99 km east, then 11.88 km in a direction 39.84 degrees west of north, then 7.43 km west.A. What is the magnitude of the total displacement, in km?B. What is the direction of the displacement, measured in degrees west of north?
The magnitude of the total displacement, in km, is 25.3 km, and the direction of the displacement, measured in degrees west of north, is 125.76 degrees.
A. The magnitude of the total displacement, in km, is 25.3 km. This is calculated by using the Pythagorean theorem, where a2 + b2 = c2. The first two legs of the displacement are a and b, where a = 6.99 and b = 11.88. So,
a2 + b2 = 6.992 + 11.882
= 162.42 + 140.24 = 302.66.
The square root of 302.66 is 17.36. The third leg of the displacement is c, where c = 7.43. So, the total displacement is 17.36 + 7.43 = 24.79 km. Rounding to the nearest tenth, the magnitude of the total displacement is 25.3 km.
B. The direction of the displacement, measured in degrees west of north, is 125.76 degrees. This is calculated by using the Law of Cosines, where c2 = a2 + b2 - 2ab cos(C). The sides of the triangle are a = 6.99, b = 11.88, and c = 7.43. The angle C is the direction of the displacement, so we can solve for C in terms of a, b
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A hydrogen nucleus, which has a charge e, is situated to the left of a carbon nucleus which has a charge 6e. Which statement is true? A) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the carbon nucleus. B) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is greater than the force exerted on the carbon nucleus. C) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is less than the force exerted on the carbon nucleus. D) The electrical force experienced by the hydrogen nucleus is to the right, and the magnitude is equal to the force exerted on the carbon nucleus
The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the carbon nucleus has a charge e, is situated to the left of a carbon nucleus which has a charge 6e. In this case, Option A is correct
What is a force, according to physics?
The correct statement is that the electrical force acting on the hydrogen nucleus to the left is equal in strength to the force acting on the carbon nucleus.Physics states that a force is a pulling motion that modifies an object's velocity. A force that has the ability to change a body's resting or motion state is known as an external force. It has a magnitude and a vector.Items are drawn toward the center of a moon or other entity by a force.To know more about Force visit:
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In 1992, Ukrainian Sergei Bubka used a short pole to jump to a height of 6.13 m. If the maximum potential energy associated with Bubka was 4.80 kJ at the midpoint of his jump, what was his mass?
Ukrainian Sergei Bubka mass is 79.8 kJ t the midpoint of his jump.
What is mass?
Mass can be experimentally defined as a measure of the body's inertia, meaning the resistance to acceleration (change of velocity) when a net force is applied.
h=6.13 meters
mg=9.81 m/s2
PEg= 4.80 ×10^3J
The mas is Unknown=
We will Use the equation for gravitational potential energy, and rearrange it to solve for mass
Therefore PEg = mgh
mass = PEg / gh
mass = 4.80 ×10^3 / 9.81 x 6.13
mass = 79.8 kJ
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A car in stop-and-go traffic starts at rest, moves forward 22 m in 8.0 s, then comes to rest again. The velocity-versus-time plot for this car is given in the figure.
a. What distance does the car cover in the first 4.0 seconds of its motion?
b. What distance does the car cover in the last 2.0 seconds of its motion?
c. What is the constant speed V that characterizes the middle portion of its motion?
a. In the first 4.0 seconds of its motion, the car is accelerating from rest to a certain velocity. From the velocity-versus-time graph, we can see that the velocity increases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the first 4.0 seconds.
In this case, the initial velocity is 0 m/s and the final velocity is V, where V is the velocity after 4.0 s. Therefore, the distance covered by the car in the first 4.0 seconds is (0 + V) / 2 * 4 = 2V * 4.
b. In the last 2.0 seconds of its motion, the car is decelerating from a certain velocity to come to rest again. From the velocity-versus-time graph, we can see that the velocity decreases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the last 2.0 seconds.
In this case, the initial velocity is V, where V is the velocity before 2.0 s and the final velocity is 0 m/s. Therefore, the distance covered by the car in the last 2.0 seconds is (V + 0) / 2 * 2 = V * 2
c. The middle portion of the car's motion corresponds to the constant velocity segment of the graph. From the graph, we can see that the velocity is a constant value for the middle portion of the motion. Therefore, we can read the value of V from the graph, it is the slope of the line from the graph, which is 22/8 = 2.75 m/s.
A series rl circuit is connected to a 110-v ac source. if the voltage across the resistor is 85 v, find the voltage across the inductor.
The voltage across the inductor is 69.82V
In an RL series circuit connected to an AC source, the voltage across the resistor and the voltage across the inductor are in phase with each other.
This means that the voltage across the resistor and the voltage across the inductor will have the same frequency and will be in the same phase. Since we know the voltage across the resistor is 85 V, the remaining voltage must be across the inductor.
The voltage across the inductor is equal to the total voltage from the AC source minus the voltage across the resistor, so the voltage across the inductor is
110V = [tex]\sqrt{VR2^{2}+VL2^{2} } \\\sqrt{85V^{2}+VL2^{2} } \\V_{L2} = \sqrt{110V^{2}- 85V^{2} } = 69.82V[/tex]
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click on the button with two coils in it in the lower part of the window. the circuit should now have two sets of coils. place the bar magnet inside the coil containing two loops. try to find a location where the stationary magnet induces a current in the coil and causes the light bulb to shine. which of the following is correct? a) The light bulb shines due to an induced current if the magnet is inside the coil.
b) There is no induced current in the coil, so the light bulb does not shine, if the magnet is stationary (for any location of the magnet).
c) The light bulb shines due to an induced current if one pole of the magnet is near the middle of the coil.
The size of this induced voltage is related to the speed or velocity of the movement, which causes a coil or loop of wire to experience a voltage as a result of moving it through a magnetic field.
Does the voltage change depending on how quickly you move the magnet inside the coils? An Moving Magnet's Electromagnetic Induction.The size of this induced voltage is related to the speed or velocity of the movement, which causes a coil or loop of wire to experience a voltage as a result of moving it through a magnetic field.The total induced emf rises with the number of loops added, increasing the amount of current flowing through the bulb and resulting in a brighter illumination.The button with the bar magnet and two semicircular arrows on the bottom right can be clicked to change the polarity of the bar magnet.Alternating current is created if the coil or magnet is repeatedly pushed back and forth.To learn more about magnetic field refer
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the output from an and gate is high when . all inputs are high all inputs are low one input is high and the remaining inputs are low one input is low and the remaining inputs are high
The output of a NAND gate (also known as a NOT-AND gate) complements that of an AND gate because it only provides a false output if all of its inputs are true.
If the output is high, what are the inputs of an AND gate?Only when all inputs are HIGH will an AND gate's output be HIGH. When one or more inputs are LOW, a NAND gate's output is HIGH.
Which logic gate, when any input is high, outputs low values? A AND, B, OR C, N, OR D?The truth table for the NOR gate is displayed above and indicates that this logic gate is one that outputs low values when any of the inputs are high.
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What is the radius of a hemisphere with a volume of 61326 ft^3
, to the nearest tenth of a foot?
The radius of a hemisphere with a volume of 61326 ft^3 , to the nearest tenth of a foot is 30.827 f.
The volume of a sphere with radius R is known to be:
V = (4/3)*pi*R^3
in where pi = 3.14
A hemisphere is half a sphere, its volume is half that of a sphere, and its volume is as follows for a hemisphere of radius R:
V' = (1/2)*(4/3)*pi*R^3
Now that we are aware of the volume of our hemisphere:
V' = 61326 ft^3
The equation is then easy to solve:
61326 ft^3 = (1/2)*(4/3)*pi*R^3
For R.
(We need the diameter, but knowing the radius is a good place to start because the diameter is equal to two times the radius.)
61326 ft^3 = (1/2)*(4/3)*pi*R^3
61326 ft^3 = (4/6)
*3.14*R^3
61326 ft^3*(6/4*3.14) = R^3
∛( 61326 ft^3*(6/4*3.14) ) = R = 30.827 f
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A ball is thrown upward with an initial velocity vo from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where, m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith (maximum height) isA1√2γgtan−1(√2γgv0)B1√γgtan−1(√γgv0)C1√γgsin−1(√γgv0)D1√γgln(1+√γgv0)
B) 1√γg tan−1(√γ/g) v0 is the time taken by the ball to rise to its zenith (maximum height).
Why does drag force exist?As an outcome of collisions among moving objects and the molecules of a fluid like air or water, drag is a force that hinders or resists motion. Even though it inhibits motion like surface friction does, drag only occurs in flowing fluids. Drag is a force acting against the relative movement of any moving object with relative to a surrounding fluid in fluid dynamics. It is sometimes alluded to as fluid friction, air resistance, or another sort of friction.
-(g + γv^2) = dv/dt
=> -gdt = g/γ (dv/ (g/γ+v^2))
integration 0=>t ; vo => 0=>
=> -gt = -√g/γ tan^-1(vo/√gγ)
=> t= 1√γg tan−1(√γ/g) v0
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A ball is thrown upward with an initial velocity vo from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where, m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith (maximum height) is
A) 1√2γg tan−1(√2γ/g) v0
B) 1√γg tan−1(√γ/g) v0
C) 1√γg sin−1(√γ/g) v0
D) 1√γg ln(1+√γ/g) v0
