The kinetic energy of the body at 30m above the ground will be 1960 joules.
First, We have to calculate the final velocity when the object is 30m above the ground. We know that :
[tex]v^{2} + u^{2}[/tex]= 2as , where v is the final velocity, u is the initial velocity, s is the displacement and a is the acceleration . Since the body is dropped , the initial velocity will be 0 and a = 9.8m/s (acceleration by gravity), and since the body is 30m above the ground the displacement achieved by it will be 40-30 = 10m
∴ [tex]v ^{2} =[/tex] 2as
⇒[tex]v^{2}[/tex] = 2 x 9.8 x 10
⇒[tex]v^{2}[/tex] = 196
We can directly use this value to find the kinetic energy of the system. We know that kinetic energy is [tex]\frac{1}{2} m v^{2}[/tex].
⇒ 1/2 x 20kg x 196
⇒1960
∴ Kinetic system of the body from 30m above the ground will be 1960 joules
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when the velocity and acceleration of an object have opposite signs, the speed of the object increases.?
The object will be moving faster if the acceleration and velocity are pointing in the same direction. The object will also slow down if the acceleration is pointing in the reverse direction as the velocity.
What is the difference between velocity and speed?Velocity is the pace and direction about an object's movement, while speed is the tracking at which a object is travelling along a path. To put it another way, velocity is a vector, whereas speed is a scalar value.
What is velocity, and what are some examples of it?Simply said, velocity is the rate of movement in a specific direction. such as the velocity of a car driving north on even a highway or the pace at which a rocket takes off. Since the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
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The velocity of a machine element over a 10 second period is:
V=2.5t m/s 0
V=10 m/s 4
a) If the element is an ideal damper with B=10N-s/m, determine the power absorbed as a function of time, and the total energy dissipated over the 10 s period.
b) If the element represents aerodynamic drag, approximated by the characteristic F=CV^2 determine the power absorbed as a function of time, and the total energy dissipated if C= 1.0 N-s^2/m^2
c) In the time period t<4 s, how does the power absorbed by the two dampers compare? Which damper dissipates the most energy in the 10 s period.
d) At a velocity of 20 m/s, which damper absorbs the most power?
Determine the strength absorbed as a consequence of time and the overall energy dissipated throughout the 10 s period if the element is an excellent damper with B=10N-s/m.
What are some examples of velocity?Velocity can be defined as the rate at which an object moves in a specific direction. as the velocity of a car driving northwest on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
Why is speed referred to be a scalar quantity?Scalar quantities can be described by their size or magnitude alone and do not require any other information. Thus, examples of are 10 cm, 50 sec, 7 liters, and 3 kg.Scalar amounts. Both a size or quantity and a direction, referred to as the quantity's line of action, are characteristics of vector quantities.
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As the temperature of a gas increases, the kinetic energy of its particles:a. increasesb. decreasesc. remains the same
The maximum throughput of kinetic energy of either the hydrogen atoms increase as the temperature rises.
Which energy do users mean by kinetic?Describe kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is exerted on it by exerting a net force.
How can one locate kinetic energy?The relationship between kinetic energy and an object's mass and square of its movement is direct: K.E. = 0.5 m v2. The kinetic energy is measured in kilograms-meters squared per real - time data if the mass is measured in kilograms and the velocity is measured in meters per second.
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An electron (mass 9.11 x 10-31 kg) traveling with a horizontal speed v = 4.00 x 106 m/s, enters a uniform electric field created by two charged parallel plates. The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate: The electron travels a horizontal distance of 5.00 cm before hitting - the lower plate: a) How long does it take the electron to hit the lower plate, from the time the electron enters the electric field? [1] b) What is the magnitude of the acceleration of the electron? [1] c) What is the magnitude of the electric field between the plates? [1] d) What is the direction of the electric field? [1] 300
Upon entering a uniform electric field produced by two charged parallel plates, an electron with a mass of 9.11 x 10-31 kg moving at a horizontal speed of 4.00 × 106 m/s does so.
What is electron and how much time it takes to travel?
The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate.The electron travels a horizontal distance of 5.00 cm before hitting the lower plate.a) To find the time it takes the electron to hit the lower plate, you can use the distance and velocity of the electron.
Time = Distance / Velocity = 5.00 cm / 4.00 x 106 m/s = 1.25 x 10^-10 sb) To find the acceleration of the electron, you can use the equation a = F / m, where F is the force acting on the electron and m is the mass of the electron.
Acceleration of the electron = Force / mass = Electric force / mass = Electric field x charge of electron / mass = E * e / mc) To find the magnitude of the electric field between the plates, we can use the equation E = F / q where F is the force acting on the electron and q is the charge of the electron.
Electric field = Electric force / electron charge = ma = (m*a) / ed)The direction of the electric field can be determined by observing the movement of the electron. The electron is deflected towards the lower plate which means the direction of the electric field is from the upper plate to the lower plate.
It is important to note that the electron is negatively charged and the direction of the force on a negatively charged particle is opposite to the direction of the electric field.To learn more about electron refer:
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VT 104.00 V, IT = ?, RT = ?
V₁?, ₁= ?, R₁= ?
V₂= 48.00 V,
12= ?,
R₂ = ?
V3- 37.00 V, 13= ?,
R3-16.00 Ohms
Solve for all the necessary parts of the circuit to answer the following
question:
What is the voltage drop at (V₁) which is the voltage drop at resistor
one?
HELP PLEASE GIVING BRIANLEST
Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law.
What exactly is the Ohm's law?Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.Ohm's law states that V = IR, where V is the voltage applied across the conductor, I is the current flowing through it, and R is the resistance the conductor offers to the flow of current.Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.To learn more about Ohm's Law refer to:
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When a cross is made between round seed and yellow seeds (RrYy) and round seed and green seeds (Rryy), what proportion of phenotype in the offspring could be expected to be wrinkled and green
The proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
Let us represent phenotype in an organized way for ease of understanding.
Gamete Ry ry
RY RRYy RrYy
Ry RRyy Rryy
rY rRYy rrYy
ry Rryy rryy
First, let us discuss Yellow and Round seeds. From the data above, we can conclude that the Yellow and Round seeds are phenotypes that are dominant in nature. Therefore, we express them in Heterozygous state.
Now, let us discuss Green and wrinkled seeds. Green and wrinkled seeds are expressed in recessive homozygous state which can be found only in rryy.
So, the proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8
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The tropospheric lapse rate (the rate at which temperature decreases with altitude) is approximately 6C per kilometer. Given that the mean surface temperature of Earth is 288K and the effective radiating temperature is 255K, from what altitude does most of the emitted radiation derive?
The lapse rate is the rate at which an atmospheric variable, usually temperature, decreases with altitude. The temperature drops by 1 degree Celsius for every 165 metres of height gain. This is known as the usual lapse rate.
What is the rate of tropospheric lapse?The tropospheric lapse rate is around 6.1 K/km in the Northern Hemisphere (NH) and over the ocean, and approximately 6.2 K/km over the continents. At low latitudes, the value of drops to 6.5 K/km at polar latitudes.
Temperatures in the atmosphere drop with height at a rate of 6,5°C (11,7 °F) every kilometre on average.
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Two ong; parallel wires separated by 2.40 cm carry currents in opposite directions: The current in one wire 1.30 and the current in the other is 3.10 (a) Find the magnitude of the force per unit length that one wire exerts on the other: The correct answer not zero Nlm (b) Is the force attractive or repulsive? attractive repulsive
a) the magnitude of the force per unit length that one wire exerts on the other: 1.084 × 10⁻⁵ T
b) Force is repulsive in nature.
What is magnetic field?The surface magnetic field and Earth's magnetic field are roughly magnetic dipoles, with the magnetic field's S pole located close to the planet's geographic north pole and the magnetic field's N pole located close to the planet's geographic south pole. The magnetic field, which is created by the movement of molten iron in the Earth's core, shields the globe from cosmic radiation and solar radiation as well as from charged particles. Furthermore, it offers the framework for compass navigation.
a)
Given that,
Two long parallel wires separated by 2.40 cm
The current in one wire 1.30 A
current in the other is 3.10 A
So, magnetic field due to I₁: B₁ = {μ₀ I₁} / 2π(r/2)
B₁ = {12.57× 10⁻⁷ H/m (1.30 A)} / 2π(2.40 × 10⁻² m/2)
B₁ = 1.084 × 10⁻⁵ T
So, magnetic field due to I₁: B₂ = {μ₀ I₂} / 2π(r/2)
B₂ = {12.57× 10⁻⁷ H/m (3.10 A)} / 2π(2.40 × 10⁻² m/2)
B₂ = 2.168 × 10⁻⁵ T
Thus, the net magnitude of magnetic field (B) = B₂ - B₁
or, B = 1.084 × 10⁻⁵ T
b)
Force is repulsive as currents are opposite in direction
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A 1.0-kilogram laboratory cart moving with a velocity of $0.50$ meter per second due east collides with and sticks to a similar cart initially at rest. After the collision, the two carts move off together with a velocity of $0.25$ meter per second due east. The total momentum of this frictionless system is
(A) zero before the collision
(B) zero after the collision
(C) the same before and after the collision
(D) greater before the collision than after the collision
Option C is the right response because the momentum was the same prior to and following the impact. Imagine a scenario where a laboratory cart that weighs 1 kg and is travelling straight east at a speed of 0.50 m/s
Collides with another cart that is originally at rest and is carrying a comparable weight. This demonstrates the conservation of momentum. Is the momentum constant prior to and following the collision, In physics, an elastic collision is a collision between two bodies in which the total kinetic energy remains constant. In an ideal, elastic collision, there is no net conversion of kinetic energy into heat, noise, or potential energy. The definition of momentum is mass in motion.
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A car tachometer indicates the flywheel is spinning at
1,953 RPM. The flywheel has a diameter of 30.7 cm.
What is the centripetal acceleration in meters per
second squared of a point on the edge of the wheel?
Correct Answer: 6,421
The centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.
What is centripetal acceleration?
Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is necessary to keep the object moving in a circular path.
To calculate the centripetal acceleration of a point on the edge of the flywheel, we can use the formula:
a = (v^2) / r
where a is the centripetal acceleration, v is the velocity of the point, and r is the radius of the flywheel.
First, we need to calculate the velocity of the point. We know that the flywheel is spinning at 1,953 RPM (revolutions per minute), so we can convert this to revolutions per second (RPS) by dividing by 60.
v = 1,953 RPM / 60 sec/min = 32.55 RPS
Next, we need to convert the diameter of the flywheel to radius by dividing by 2.
r = 30.7 cm / 2 = 15.35 cm = 0.1535 m
Now we can substitute these values into the formula to calculate the centripetal acceleration.
a = (v^2) / r = (32.55 RPS)^2 / 0.1535 m = 3.40 x 10^3 m/s^2
So the centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.
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How much work is done if a force of 20N is used to move an object 6 metres?
Answer:
120 Joules
Explanation:
The work is done if a force of 20 N is used to move an object 6 meters is 120 Joules.
the weights of the empty cardboard boxes for candy canes have a mean of 22 grams with a standard deviation of .7 grams. you may assume that the weights of the boxes and the candy canes are independent. also, you may assume that t he weights of the candy canes randomly selected for each box are independent.
Let X be a random variable that represents the weight of a single Grade A egg chosen at random. for the empty cardboard candy cane box weights, which had a mean of 22 grammes and a standard deviation
I What does X mean?
The expected value properties show that E(W) = E(P)+ E(X1) + + E(X12) This results in E(W) = E(P) + 12 E since the mean weight of all 12 eggs is the same (X;). In light of the information that E(W) = 840 and E(P) = 20, we can use the equation 840 = 20 + 12 E(X;) to determine E(X;) 840-20 12 68.33 grammes.
Secondly, what is X's standard deviation?
Properties of variance prove that Var (W) = Var (P) + Var (X1) + Var (X2) +... + Var due to independence (X12).
This equals Var(W) Var(P) + 12 x Var since the variance of the weights of all 12 eggs is the same (X;).
SD (W) was given a value of 7.9 and SD (P) a value of 1.7. Var (W) = 7.92 = 62.41, and Var (P) = 1.722 = 2.89, as a result.
Var (X,) = = SD(X)=(496)2.23 grammes may be obtained by solving 62.41 = 2.89 + 12 x Var(X,).
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We want to know how a student’s level of education and their gender impacts both their annual income and amount of student loan debt. However, we want to account for the annual income of the student’s parents as well. What is the dependent variable?
The dependent variable in this scenario is the annual income and the amount of student loan debt of the student. The independent variables are the level of education and gender of the student, and the annual income of the student's parents.
What is the dependent variable?The dependent variable is the variable that the research aims to investigate or measure. In this case, the dependent variable is the annual income and the amount of student loan debt of the student. The research aims to understand how the level of education and gender of the student impact their annual income and student loan debt.
Therefore, the research aims to investigate the relationship between the student's level of education and gender with their annual income and amount of student loan debt, while taking into account the annual income of the student's parents as a potential confounding variable.
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Why does the norm(s) exist? What can you find/do you believe is the purpose behind this norm in the
sport?
The boundaries between what is acceptable and unacceptable behavior are set by norms.
What are the rules of sports?
Norms establish the parameters for what is proper and improper conduct. The majority of teams do not establish a set of codified norms, even though team members frequently abide by standards. Teams may have norms for a range of difficulties.
Norms are a key idea in the social sciences. Most frequently, they are referred to as rules or expectations set by society. There are two types of norms: prescriptive (encouraging good behavior, like "be honest") and proscriptive (forbidding bad behavior, like "do not cheat").
Humans need norms to regulate their behavior, maintain predictability and stability in interpersonal interactions, and comprehend and make sense of one another's actions. These are some.
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A 12-cm-long spring is attached to the ceiling. When a 2.5 kg mass is hung from it, the spring stretches to a length of 17 cm
A) How long is the spring when a 3.0 kg mass is suspended from it?
The spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.
What is mass and calculation for above answer?
F = k x
In this case, the force is the weight of the 2.5 kg mass, which is equal to 9.81 N (since weight = mass x gravity)Therefore, 9.81 N = k * (17 cm - 12 cm)Solving for k, we get k = 0.29 N/cmTo find the length of the spring when a 3.0 kg mass is suspended from it, we can use Hooke's Law again.The force is now the weight of the 3.0 kg mass, which is equal to 29.43 NTherefore, 29.43 N = 0.29 N/cm x (x - 12 cm)Solving for x, we get x = 21.86 cm, so the spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.The spring constant (k) can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the spring constant multiplied by the amount of stretch or compression (x)
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11. A 2 kg chunk of clay moving at 3 m/s collides with and sticks to a 10 kg bowling ball that is
initially at rest. What is the total momentum before the collision?_____
What will be the new MOMENTUM of the clay and bowling ball combination AFTER the collision? ____
Answer:
The total momentum before the collision is 6 kg m/s (2 kg x 3 m/s).
The new momentum of the clay and bowling ball combination after the collision is 6 kg m/s (2 kg + 10 kg x 3 m/s / (2 kg + 10 kg) = 6 kg m/s). According to the law of conservation of momentum, the total momentum of a closed system must remain constant, so the total momentum before and after the collision must be the same.
A ladder rests against a vertical wall. There is no friction between the wall and the ladder. The coefficient of static friction between the ladder and the ground is µ =0.611.
Consider the following expressions:
A1: f = Fw
A2: f = Fw sin θ
B1: N =
W
2
B2: N = W
C1: ℓ Fw sin θ = 2 Fw cos θ
C2: ℓ Fw sin θ = ℓ W cos θ
C3: ℓ Fw sin θ =
1
2
ℓ W cos θ ,
where
f: force of friction between the ladder and
the ground,
Fw: normal force on the ladder due to the
wall,
θ: angle between the ladder and the ground,
N: normal force on the ladder due to the
ground,
W: weight of the ladder, and
ℓ: length of the ladder.
(Pt. 1/2) Identify the set of equations which is correct.
1. A2, B2, C1
2. A2, B1, C2
3. A1, B2, C2
4. A2, B1, C1
5. A1, B1, C2
6. A1, B1, C3
7. A1, B1, C1
8. A2, B1, C3
9. A1, B2, C3
10. A1, B2, C1
(Pt.2/2) Determine the smallest angle θ for which the
ladder remains stationary.
Answer in units of °.
Answer:
the answer is Number nine
Cold cabin? The Fathom screen shot below shows the results of taking 500 SRSs of 10 temperature readings from a population distribution that is N(50,3) and recording the sample variance s2x each time. (a) Describe the approximate sampling distribution. (b) Suppose that the variance from an actual sample is s2x=25. What would you conclude about the thermostat manufacturer's claim? Explain.
(a) The approximate sampling distribution of the sample variance, s2x, is a chi-squared distribution with n-1 degrees of freedom, where n is the sample size (in this case, 10).
What is sampling distribution?(b) If the variance from an actual sample is s2x = 25, it would suggest that the thermostat manufacturer's claim of a population variance of 3 is not accurate. This is because a sample variance of 25 is much larger than the claimed population variance of 3, indicating that the thermostats do not maintain a consistent temperature as claimed. Additional investigation would be needed to confirm whether this is due to a manufacturing issue or some other cause.To learn more about sampling distribution refer:
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Even though it is a relatively clean source of energy, which of the following is a disadvantage of hydroelectric power? A) the water used needs to be chemically treated immediately upon leaving the powerhouse
B) the electricity generated has a lower voltage than electricity generated by traditional coal and natural gas plants
C) the generators are more complex than coal or gas generators and are expensive to purchase and maintain
D) it is not an effective power source in regions which traditionally experience less rainfall
E) it can alter the ecosystems above and below the dam site
The disadvantage of Hydroelectric power is that it can alter the ecosystems above and below the dam site.
The answer is option E.
Hydroelectric power is produced by making use of the gravitational force of falling water. Let's understand the process to learn about its disadvantages.
A dam is an essential component to this process that is constructed on a water source, like a river. It is an enormous wall that obstructs the flow of the river and collects water behind it.
There is an inlet close to the dam's base from which water is pumped into the structure. This intake results in a drop that enters the dam through the penstock. Here, a turbine is employed to harness the energy of the water falling. Turbines are also used in thermal power plants, although there are several key distinctions between steam turbines and hydro turbines. A shaft connects the generator with the turbine. Electricity is produced when the water turns the turbine.
New roads and electricity lines that disturb the environment and uproot people must be built in order to construct a dam. Additionally, reservoirs created by dams can flood wide regions and uproot natural ecosystems. Dams cause flooding, killing vegetation that rots and releases greenhouse gases. The migration of fish can also be severely impacted by blocking water flow.
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suppose a rocket ship is in a circular orbit around earth with radius r. suppose the rocket fires its engines quickly increasing its speed to a times its previous speed. find the maximum a so that the rocket is still in a closed orbit.
The maximum value of a is the ratio of the escape velocity to the initial velocity. a = v_f / v_i = v_e / v_i
What is escape velocity?Maximum value of a that the rocket can achieve while still remaining in closed orbit around Earth is determined by rocket's escape velocity. The escape velocity is the minimum velocity that object needs to overcome gravitational pull of the Earth and escape into the outer space.
For circular orbit, escape velocity is given by :
v_e = √(2GM/r)
Where G is gravitational constant, M is mass of the Earth, and r is radius of the orbit.
To find the maximum value of a, we set the rocket's final velocity equal to the escape velocity, and solve for a:
a = v_f / v_i = v_e / v_i
Where v_f is final velocity and v_i is initial velocity.
So, maximum value of a is equal to the ratio of the escape velocity to the initial velocity.
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as of 2019 south african runner, wayse Van niekerk holds the world record in 400 m he was able.to maintain an average speed of 9.3 m/s how long did it take him to run the 400 meters
A 7.0-kilogram cart, A, and a 3.0-kilogram cart, B, are initially held together at rest on a horizontal, frictionless surface. When a compressed spring attached to one of the carts is released, the carts are pushed apart. After the spring is released, the speed of cart B is 6.0 meters per second, as represented in the diagram below.What is the speed of cart A after the spring is released?
(1) 14 m/s (2) 6.0 m/s (3) 3.0 m/s (4) 2.6 m/s
The speed of cart A after the spring is released is : (4) 2.6 m/s.
What is conservation of momentum?It states that the total momentum of a closed system remains constant if no external forces act on it.
We know that total initial momentum is zero, as carts are at rest before the spring is released.
Let final momentum of cart A be pA and the final momentum of cart B be pB.
Given, mass of cart A is 7.0 kg, mass of cart B is 3.0 kg, and velocity of cart B is 6.0 m/s after spring is released.
As the total momentum of the system must remain constant, we write;
pA + pB = 0
mAvA + mBvB = 0
7.0A + 3.0(6.0) = 0
A = -3.0*6.0/7.0
= -2.6 m/s
Negative sign means that it's moving in the opposite direction of cart B.
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a raw egg dropped to the floor breaks apart upon impact. however, a raw egg dropped onto a thick foam rubber cushion from a height about 1m rebounds without breaking. why it is possible?
If you drop another egg from the same height onto a pillow, it will not break (better get a grownup to help with this). The change in momentum of the egg is the same in both cases, but the time required is not.
The egg dropped on the floor comes to a halt very quickly, indicating that the force on the egg is great, and it breaks.
Momentum is a term that is frequently used in sports. A team with momentum is on the move and will take some effort to stop. A team with a lot of momentum is really on the move and will be difficult to stop. Momentum is a physics term that refers to an object's amount of motion. The momentum belongs to a moving sports team. If an object is in motion (moving), it has momentum.
Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion.
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The _______________ of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently
The velocity of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently.
The competitiveness of an organization is achieved in conjunction with various organizational actions, such as its strategy and management. Some of the most essential characteristics to achieve competitive advantages are through innovation, quality of products and services, and organizational ethics. With the increase in competitiveness in the globalized environment, companies need to stand out in several areas, therefore, several projects are implemented simultaneously, requiring management Task delegation, Focus and consistency, Cooperation, Task prioritization, Use of resources and information systems, Communication developed and Feedback, etc. Therefore, to remain competitive, a company must be innovative and offer value to its stakeholders through joint efforts.
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Calculate the slant height for the given cone. Round to the nearest tenth. a.10.2 cmb.11.4 cmc.9.8 cmd.12.0 cm
The slant height for the given cone. Round to the nearest tenth. The slant height is 9.8 cm, and the slant height is 11.4 cm.
1) The slant height = 9.8 cm
2) The slant height = 11.4 cm
1) The slant height of the cone = √[(radius)² + (height)²]
Diameter = 8 cm
Radius = 4 cm
Height = 9 cm
Slant height = √(4² + 9²) = √97 = 9.8 cm.
2)The slant height of the cone = √[(radius)² + (height)²]
Diameter = 18 cm
Radius = 9 cm
Height = 7 cm
Slant height = √(9² + 7²) = √130 = 11.4 cm.
The slant height of a pyramid or cone is a critical property. It essentially measures the height of the apex, but along the slant of one of the lateral faces.
Unless the cone is a right circular cone or a right regular polygonal pyramid, the slant height will not be consistent from place to place, making it ineffective. As a result, I'll stick to the right circular cones, the right regular polygonal pyramids, and other right cones with simple bases over here.
The slant height is the shortest possible distance along the solid's surface from the base to the apex. It is usually denoted by either s or l.
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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
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The following question has three parts. According to the article, what is a woolly mammoth and why are its tusks so valuable? What has made the mammoths' remains easier to find and collect? Why does this present a problem? (Site 1)
The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.
What is civic education?Civic education has been also referred to as citizen education and it can be defined as a public, socially-oriented system that involves the study of the constitutional rights, duties and responsibilities (obligations) of citizens in a society.
The main purpose of the civic education is to help citizens have an understanding on how government works (functions) while providing them with knowledge about how to influence government and their policies as a citizen.
Therefore, The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.
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Taking the age of Earth to be about 4 x 10 years and assuming its orbital radius of 1.5 x 10¹1 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its
birth in decimals. (In a frame of reference stationary with respect to the Sun).
The approximate total distance Earth has traveled since its birth exists[tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].
What is meant by circular orbit?The simplest types of orbits in celestial mechanics are circular orbits, in which an orbiting body moves around a gravitational mass while maintaining a constant radius.
The Earth orbits the Sun in a circle with radius r, and one full rotation takes one year. Thus in a year it travels a distance equal to [tex]$2 \pi r$[/tex], which exists the circumference of the Earth's orbit.
Therefore in n years that have elapsed, it would travel a distance d given by, [tex]$d=2 \pi r n$[/tex]
Substitute 3.14 for [tex]$\pi, 1.5 \times 10^{11} \mathrm{~m}$[/tex] for r and [tex]$4 \times 10^9$[/tex] for n.
Let the equation be
[tex]$$\begin{aligned}& d=2 \pi r n \\& =2(3.14)\left(1.5 * 10^{11} \mathrm{~m}\right)\left(4 * 10^9\right) \\& =3.768 * 10^{21} \mathrm{~m}=3.8 * 10^{21} \mathrm{~m}\end{aligned}$$[/tex]
Therefore, the approximate total distance Earth has traveled since its birth is [tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].
The complete question is:
Taking the age of Earth to be about 4×10^9 years and assuming its orbital radius of 1.5 ×10^11 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).
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A string is fixed between the wave driver and pulley located 50.0 cm apart. A 200. g mass is atteched to the end of the string providing the tension. When a wave generator vibrates at 150. Hz the string resonates in the third mode. 50.0 cm OOM Mass 200.g a. Sketch the first 5 modes of vibration for this setup b. Find the wavelength for cach of these modes c. Determine the speed of the wave for each of these modes d. Determine the resonant frequency for each of these modes MODE DIAGRAM WAVELENGTH FREQUENCY WAVE SPEED 1st 50.0 cm 2nd 3rd 150
In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
Determine the speed of the wave for each of these modes ?v = ν λ
v = Wave speed
λ = Wavelength
ν = Frequency
λ = 690.4 nm
Since the wave considered here is visible light,
v = c = 3 * 10⁸ m / s
ν = v / λ
ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m
ν = 434.53 * 10¹² Hz
ν = 434.53 THz
E = h ν
E = Energy
h = Planck's constant
ν = Frequency
h = 6.626 * 10⁻³⁴ J s
E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²
E = 2879.19 * 10²² J
E = 28.79 * 10²⁴ J
E = 28.79 YJ
Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
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When driving on a straight flat freeway, you keep your foot on the accelerator to keep the car in motion at constant velocity. Which of the following represents this situation? The net force on the car
A. is in the forward direction
B. depends on the car’s speed
C. is toward the rear
D. depends on the car’s engine
E. is zero
Answer: E. is zero
Explanation: According to Newton's first law of motion, any object moving at constant velocity has no net external force acting upon it, which means that the sum of the forces acting on the object must be zero. Given that the car is maintaining a constant velocity, we can say that there is no net force acting on the car.
Point charges 1 and 2 have charges Q and Q, and are held 3.0 mm apart. The point charges exert an attractive force of 16 N on each other. Which of the following are possible values for the charges? A) Q1 = +1.3 x 10^-7 C and Q2 = +1.3 x 10^-7 C B) Q1 = +1,0 x 10^-7 C and Q2 = +1.6 x 10^-7 C C) Q1 = +1.0 x 10^-7 C and Q2 = -1.6 x 10^-7 C
D) Q1 = +1.0 x 10^-6 C and Q2 = +5.3 x 10^-6 C E) Q1 = +1.0 x 10^-6 C and Q2 = -5,3 x 10^-6 C
The point charges exert an attractive force of 16 N on each other. The charge obtained is Q₁ = 1.6 × 10⁻⁷ C and Q₂ = -1.6 × 10⁻⁷ C. The correct option is option (B).
Given force F = 16N
d = 3.0 mm = 3.0 × 10⁻³m
The force between the two charges is given by:
F = ( k × Q₁ × Q₂) ÷ d²
16 = ((9 × 10⁹) ÷ (3.0 × 10⁻³)) (Q₁ × Q₂)
(Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C²
Since, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² the force is attractive.
The charges must be of opposite signs.
Q₁ = 1.6 × 10⁻⁷ C
Q₂ = -1.6 × 10⁻⁷ C
Now, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² therefore, the correct option is option (B).
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