Answers
The distance moved by the vehicle on after brakes is 18.91 m.
What is speed?The speed of any moving object is the ratio of the distance covered and the time taken to cover that distance.
Speed s = distance d / time t
You are driving through town at 11.0 m/s when suddenly a ball rolls out in front of you. You apply the brakes and begin decelerating at 3.2 m/s.
The final velocity will be zero, when brakes are applied.
Using the third equation of motion,
v² -u² =2as
0² - 11² = 2x (-3.2) s
s = 18.91 m
Thus, the distance moves on applying brakes, is 18.91 m.
When half of the distance is traveled, the speed will be
v² -u² =2as
0² - u² = 2x (-3.2) (18.91/2)
u = 7.78 m/s
Thus, the speed will be 7.78 m/s i.e greater than 5.5 m/s.
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Related Questions
Using the same cost and time estimates, consider any trade-offs that Drehex Corporation may have to make to complete the project. Camilla John Nora Oracio Cost per Hour $40 $30 $20 $15 Time to Complete Job 20 hours 30 hours 40 hours 50 hours Ideally, the process of technological design should be cost-effective and time-effective. However, sometimes this is simply not possible and trade-offs are necessary. Explain the trade-offs Drehex Corporation may have to make to complete the project.
Answers
Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.
Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:
Cost vs. Time: The corporation may need to decide whether to prioritize completing the project quickly or keeping the costs low. If they want to minimize costs, they might opt for a longer completion time by choosing a team member with a lower cost per hour. Conversely, if time is crucial, they might choose a team member with a higher cost per hour to expedite the process.Expertise vs. Cost: The team members have different levels of expertise, as indicated by their respective costs per hour. Drehex Corporation may need to evaluate the trade-off between the level of expertise required for the project and the associated cost. They might decide to invest more in a highly skilled team member to ensure the quality and efficiency of the project, even if it means incurring higher costs.Resource Allocation: The corporation will need to allocate resources effectively among the team members to ensure a balanced workload. They may need to assign tasks and responsibilities based on individual strengths and expertise, considering the trade-off between utilizing the most capable team members and maintaining a fair distribution of work.Quality vs. Time/Cost: The trade-off between project quality and time/cost is a common consideration. If Drehex Corporation wants to deliver a high-quality output, they might need to allocate more time and resources to ensure thoroughness and attention to detail. Conversely, if time or cost constraints are significant factors, they may need to compromise on certain aspects of quality to meet project deadlines or budget limitations.Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.
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Answer:
Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.
Explanation:
Astronaut 1 has a mass of 70 kgkg. Astronaut 2 has a mass of 80 kgkg. Astro 1 and 2 want to travel to separate planets, but they want to experience the same weight (in NN). Astro 1 visits a planet with gravitational acceleration 7.0 m/s2m/s2. What must be Astro 2 planet's agag to equal Astro 1's weight
Answers
Answer:
g₂ = 39 m / s²
Explanation:
Mass is the amount of matter that a body has, so it does not change, but the weight is the force with which the planet attracts this matter, this value does change
W = m g
let's use subscript 1 for the first planet and subscript 2 for the second planet
W₁ = m₁ g₁
W₂ = m₂ g₂
They give us the values of the masses and the value of g₁ = 7.0 m / s, let's find the value of the acceleration of gravity on Planet 2
They tell us that the weight of the two astronauts is the same therefore
W₁ = W₂ = W
let's match the expressions
m₁ g₁ =m₂ g₂
g₂ = \(\frac{m_1}{m_2} \ g_1\)
let's calculate
g₂ = \(\frac{70}{80} \ 7.0\)
g₂ = 39.2 m / s²
g₂ = 39 m / s²
2. The weight of a basketball player is 6 ft and 1 12 inches. Change his height to:
a. Feet
b. Inches
C. Centimeters
d. Meters
Answers
Answer:
a feat
Explanation:
cause the mf already 7ft on the dot there is no such thing as 6 ft 12
A particle's trajectory is described by x = (0.5t^3-2t^2) meters and y = (0.5t^2-2t), where time is in seconds. What is the particle's speed at t=5.0s ? What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s ?
Answers
Differentiate the components of position to get the corresponding components of velocity :
\(v_x = \dfrac{\mathrm dx}{\mathrm dt} = \left(1.5\dfrac{\rm m}{\mathrm s^3}\right) t^2 - \left(4\dfrac{\rm m}{\mathrm s^2}\right)t\)
\(v_y = \dfrac{\mathrm dy}{\mathrm dt} = \left(1\dfrac{\rm m}{\mathrm s^2}\right)t-2\dfrac{\rm m}{\rm s}\)
At t = 5.0 s, the particle has velocity
\(v_x = \left(1.5\dfrac{\rm m}{\mathrm s^3}\right) (5.0\,\mathrm s)^2 - \left(4\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s) = 17.5\dfrac{\rm m}{\rm s}\)
\(v_y = \left(1\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)-2\dfrac{\rm m}{\rm s} = 3.0\dfrac{\rm m}{\rm s}\)
The speed at this time is the magnitude of the velocity :
\(\sqrt{{v_x}^2 + {v_y}^2} \approx \boxed{17.8\dfrac{\rm m}{\rm s}}\)
The direction of motion at this time is the angle \(\theta\) that the velocity vector makes with the positive x-axis, such that
\(\tan(\theta) = \dfrac{3.0\frac{\rm m}{\rm s}}{17.5\frac{\rm m}{\rm s}} \implies \theta = \tan^{-1}\left(\dfrac{3.0}{17.5}\right) \approx \boxed{9.73^\circ}\)
Each of the following figures shows a person (not to scale) located on Earth at either 40°N or 40°S latitude. Rank the figures based on how much time the person spends in daylight during each 24-hour period, from most to least. To rank items as equivalent, overlap them.
Answers
The ranking is based on the tilt of the Earth's axis and its orbit around the Sun. The figure at 40°N in June receives the most daylight because it is located at a high latitude during the summer solstice in the Northern Hemisphere. The Earth's axis tilts towards the Sun, resulting in longer days and shorter nights. The figure at 40°S in December receives a moderate amount of daylight as it is located at a lower latitude during the summer solstice in the Southern Hemisphere.
The figure at 40°N in December experiences less daylight because it is located at a high latitude during the winter solstice in the Northern Hemisphere, with shorter days and longer nights. Lastly, the figure at 40°S in June receives the least amount of daylight as it is located at a lower latitude during the winter solstice in the Southern Hemisphere, where the days are shortest and the nights are longest. Based on the information given, the ranking of figures based on the amount of daylight they experience in a 24-hour period, from most to least.
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The flywheel of an engine has I of 1.60kg.m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rpm in 8.00s, starting from rest?
Answers
Answer:
Torque = 8.38Nm
Explanation:
Time= 8.00s
angular speed (w) =400 rpm
Moment of inertia (I)= 1.60kg.m2 about its rotation axis
We need to convert the angular speed from rpm to rad/ sec for consistency
2PI/60*n = 0.1047*409 = 41.8876 rad/sec
What constant torque is required to bring it up to an angular speed of 40rev/min in a time of 8s , starting from rest?
Then we need to use the formula below for our torque calculation
from basic equation T = J*dω/dt ...we get
Where : t= time in seconds
W= angular velocity
T = J*Δω/Δt = 1.60*41.8876/8.0 = 8.38 Nm
Therefore, constant torque that is required is 8.38 Nm
Torque can be defined as the twisting or turning force that tends to cause rotation around an axis. The required constant torque is 8.38 N-m.
Given-
Inertia of the flywheel is 1.60 kg m squared.
Angular speed of the flywheel \(n\) is 400 rpm. Convert it into the rad/sec, we get,
\(\omega =\dfrac{2\pi }{60} \times n\)
\(\omega =\dfrac{2\pi }{60} \times 400\)
\(\omega = 41.89\)
Thus, the angular speed of the flywheel \(\omega\) is 41.89 rad/sec.
When a torque \(\tau\) is applied to an object it begins to rotate with an acceleration inversely proportional to its moment of inertia \(I\). Mathematically,
\(\tau=\dfrac{\Delta \omega }{\Delta t} \times I\)
\(\tau=\dfrac{ 41.89 }{8} \times 1.6\)
\(\tau=8.38\)
Hence, the required constant torque is 8.38 N-m.
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Using the formula at the beginning of this lesson, calculate the wavelength of a signal from KPhET 98.7. Remember that FM stations transmit in the Megahertz range. This means that KPhET is transmitting a frequency of 9.87 x10∧7 hz. What is the wavelength of the signal from this radio station?
Answers
Answer:
3.04 m ???
Explanation:
The wavelength of the signal from KPhET 98.7 radio station is 3.05 meter.
What is electromagnetic wave?EM waves are another name for electromagnetic waves. When an electric field interacts with a magnetic field, electromagnetic waves are created. These electromagnetic waves make up electromagnetic radiations.
It is also possible to say that electromagnetic waves are made up of magnetic and electric fields that are oscillating. The basic equations of electrodynamics, Maxwell's equations, have an answer in electromagnetic waves.
As radio wave is electromagnetic wave, the speed of radio wave is 3.0×10⁸ m/s.
Given frequency of KPhET is 9.87 x10⁷ Hz.
Hence, the wavelength of the signal from this radio station is = ( velocity ÷ frequency)
= 3.0×10⁸ m/s ÷ 9.87 x10⁷ Hz.
= 3.05 meter.
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Two bodies separated from
each other at a certain distance
started moving simultaneously
to meet each other - one with ar
acceleration of 2.4 m/s, and the
other with an acceleration of 4.8
m/s2. Determine the ratio of the
displacement module of the first
body to the displacement
module of the second body at
the moment of their meeting.
Answers
The result of the ratio of the displacement module of the second body at the point of meeting is 0.5.
How to find displacement ratio?To determine the ratio of the displacement of the first body to the displacement of the second body at the moment of their meeting, use the equation of motion:
d = vt + 1/2at²
where d is the displacement, v is the initial velocity, t is the time, and a is the acceleration.
Since the bodies are moving simultaneously towards each other, then assume that their initial velocities are zero. Also, at the moment of their meeting, their displacement will be the same, d₁ = d₂.
Assume that the time at which they meet is t, then:
d₁ = 1/2 * 2.4t²
And the equation for the displacement of the second body:
d₂ = 1/2 * 4.8t²
If d₁ = d₂
then, 1/2 * 2.4t² = 1/2 * 4.8t²
Solving this equation for t and substituting it into the equation for d₁ or d₂, the ratio of the displacement of the first body to the displacement of the second body: d₁/d₂ = 2.4/4.8 = 0.5 or 1/2
So, at the moment of their meeting, the displacement of the first body is half of the displacement of the second body.
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A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the oscillation is 6 cm and the maximum velocity achieved by the toy is 3.2 m/s . What is the kinetic energy K of the toy when the spring is compressed 4.7 cm from its equilibrium position?
A)The following is a list of quantities that describe specific properties of the toy. Identify which of these quantities are known in this problem.
Select all that apply.
1. force constant k
2. total energy E
3. mass m
4. maximum velocity vmax
5. amplitude A
6. potential energy U at x
7. kinetic energy K at x
8. position x from equilibrium
B)What is the kinetic energy of the object on the spring when the spring is compressed 4.7 cm from its equilibrium position?
C)What is the potential energy U of the toy when the spring is compressed 4.7 cm from its equilibrium position?
Answers
Hi there!
Part A:
The only quantities explicitly given to us are:
3. mass (m)
4. Maximum velocity (vmax)
5. Amplitude (A)
8. Position x from equilibrium
Part B:
To solve, we must begin by calculating the force constant, 'k'.
We can use the following relationship:
\(v = \sqrt{\frac{k}{m}(A^2-x^2)\)
We are given the max velocity which occurs at a displacement of 0 m, because the mass is the fastest at the equilibrium point. We can rearrange the equation for k/m:
\(\frac{v^2}{(A^2-x^2)} = \frac{k}{m}\)
\(\frac{3.2^2}{(0.06^2-0)} = \frac{k}{m} = 2844.44\)
Now, we can find the velocity at 4.7cm (0.047m) using the equation:
\(v = \sqrt{(2844.44)(0.06^2-0.047^2)} = 1.989 m/s\)
Plug this value into the equation for kinetic energy:
\(KE = \frac{1}{2}mv^2\\\\KE = \frac{1}{2}(0.05)(1.989^2) = \boxed{0.0989 J}\)
Part C:
The potential energy of a spring is given as:
\(U = \frac{1}{2}kx^2\)
Find 'k' using the derived quantity above:
\(\frac{k}{m} = 2844.44\\\\k = 2844.44m = 142.22 N/m\)
Now, calculate potential energy:
\(U = \frac{1}{2}(142.22)(0.047^2) = \boxed{0.157 J}\)
Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
Answers
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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what can you say about the speed of a ball that travelled a distance of 20 m and displacement of 10 m in 5 seconds
Answers
The speed of the ball at the given distance and time of motion is 4 m/s.
What is speed?The speed of an object is the rate of change of distance traveled by the object with time.
Speed is a scalar quantity because it has only magnitude and no direction. It is measured in meters per second.
Speed of the ballFor a ball that travelled a distance of 20 m and displacement of 10 m in 5 seconds, the speed of the ball at the given distance and time of motion is calculated as follows;
Speed of the ball = distance traveled by the ball / time of motion
from the question, distance = 20 mtime of motion, t = 5 secondsspeed of the ball = 20 m / 5 s
speed of the ball = 4 m/s
Thus, the speed of the ball at the given distance and time of motion is 4 m/s.
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The stage in cell division in which chromosomes replicate themselves.*
Interphase
Metaphase
Telophase
Anaphase
Answers
Answer:
interphase
Explanation:
The attraction or repulsion between charges is known as _____.
electric charge
electric force
magnetism
the electric field
Answers
Answer:
Okay
It is electric charge
Rock X is released from rest at the top of a cliff is on earth. A short time later, Rock y is released from rest from the same point as rock X. Both rocks fall for several seconds before landing on the ground directly below the cliff. Frictional forces are considered to be negligible.
Which of the following graph correctly shows the vertical velocity of rock X as a function of time? Take the positive direction to the upward.
Answers
The graph of the velocity and the time can be shown by option D.
What is the correct graph?We know that the movement of an object as it is falling under gravity would have a constant acceleration. The constant acceleration means that the velocity of the object is also held a constant.
We now have to look at the graphs as we have them here. The graph as it has been shown has the the velocity on the vertical axis and it has the time on the horizontal axis. The gradient of the slope is what we would refers to as the acceleration of the body.
We also need to recall that the acceleration has to be a constant since tje tow object would have to reach the ground at the same time if they are released from the same height at the same time.
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During a normal reaction to a stressful event, muscles are moved to their maximum capacity, and sensitivity is
Answers
Answer:
The paper focuses on the biology of stress and resilience and their biomarkers in humans from the system science perspective. A stressor pushes the physiological system away from its baseline state toward a lower utility state. The physiological system may return toward the original state in one attractor basin but may be shifted to a state in another, lower utility attractor basin. While some physiological changes induced by stressors may benefit health, there is often a chronic wear and tear cost due to implementing changes to enable the return of the system to its baseline state and maintain itself in the high utility baseline attractor basin following repeated perturbations. This cost, also called allostatic load, is the utility reduction associated with both a change in state and with alterations in the attractor basin that affect system responses following future perturbations. This added cost can increase the time course of the return to baseline or the likelihood of moving into a different attractor basin following a perturbation. Opposite to this is the system's resilience which influences its ability to return to the high utility attractor basin following a perturbation by increasing the likelihood and/or speed of returning to the baseline state following a stressor. This review paper is a qualitative systematic review; it covers areas most relevant for moving the stress and resilience field forward from a more quantitative and neuroscientific perspective.
Explanation:
During a normal reaction to a stressful event, muscles are moved to their maximum capacity, and sensitivity is increased.
What is Sensitivity?This is defined as the ability of an organism to respond to stimuli such as touch, sensation etc.
During exercise, sensitivity to substances such as insulin when glucose transport wears off helps to balance energy supply.
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What is SeaWorld?
What is this
What is that
Answers
SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.
SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.
SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.
Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.
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what is term latent and trait
Answers
We have that the term latent and trait means
Latent
The Term Latent simply means a substance and or any anything in existence that is existent but have not yet been revealed use or looked into by the possessor or carrier.
Trait
This speaks to the specific behavior possessed by a person.
From the question we are told
What is term latent and trait
Generally
Latent
The Term Latent simply means a substance and or any anything in out there that hasn't been looked into by the possessor or carrier.
While
Trait
This speaks to the specific behavior possessed by a person on a creature or Feature.A trait is a distinct attribute solely related to a Thing or person
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find the acceleration of the elevator (magnitude and direction).express your answer with the appropriate units. enter positive value if the direction of the acceleration is upward and negative value if the direction of the acceleration is downward.
Answers
The acceleration of the elevator is -2.2 m/s2 downwards.
What is Acceleration?Acceleration is a vector quantity that describes the rate of change of an object's velocity over a period of time. It is measured in metres per second squared (m/s2). Acceleration is not the same as speed, which is the rate at which an object moves in a particular direction. Acceleration can be either positive (speeding up) or negative (slowing down) and is caused by an applied force, such as friction or gravity. The acceleration of an object changes with time and is dependent on the object's mass, drag, and the force that is applied to it.
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find the number of significant figures in the following product:
0.005032 x 4.0009
Answers
The number of significant figures in the following product: 0.005032 x 4.0009 is 9.
What is significant figure?Significant figure is a figure that is meaningful with respect to the precision of a measurement.
It is a digit that is nonzero, followed by a nonzero digit, or (for trailing zeroes) justified by the precision of the derivation or measurement.
According to this question, the product of 0.005032 x 4.0009 is as follows: 0.0201325288
The result of this product is as follows:
Decimal notation: 0.0201325288No. of significant figures: 9No. of decimals: 10Scientific notation: 2.01325288 × 10-²Therefore, the number of significant figures in the following product: 0.005032 x 4.0009 is 9.
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Two cars collide in an intersection. The hoods of both cars collapse and the two cars rebound off eachother. What type of collision are was this?
Answers
Inelastic collision is the correct answer.
What is inelastic collision?
Inelastic collision is the collision in which there is a loss of kinetic energy.
When two cars collide in an intersection, the hoods of both cars collapse and the two car rebound off each other then there is a loss of kinetic energy.
That is why in the above situation, the type of collision is inelastic collision.
In this type of collision , when two bodies collide with each other and when they combined together after collision , they move with the common velocity.
In this momentum remains constant and some amount of kinetic energy lost different forms.
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Question 10 of 10Which of the following statements are true of liquids?Check all that apply.I A. The particles have less kinetic energy than those of gases.O B. The particles can move past each other within a fixed volume.O C. There are no intermolecular forces between the atoms ormolecules.D. The particles are not in a fixed location.
Answers
Liquids have fixed volume but do not have a fixed shape.
The intermolecular forces are greater in solids and weakest in gases.
The following statements are true for liquids:
A. The particles have less kinetic energy than those of gases.
B. The particles can move past each other within a fixed volume.
D. The particles are not in a fixed location.
130% 00 1. A 345 g of copper is hanged on a spring wire of 30 cm in diameter as a result, the spring stretches from 75 cm to 80 cm. (8 marks)
1.1. What is the stress of the spring?
1.2 What is the strain of the spring?
1.3 What is the young's modulus of the spring?
1.4 Calculate the spring constant.
Answers
1. Stress (σ) = Force (F) / Area (A)
2. Strain (ε) = Change in Length (ΔL) / Original Length (L)
3. Young's Modulus (E) = Stress (σ) / Strain (ε)
4. Spring Constant (k) = Force (F) / Extension (x)
First, we need to find the force exerted by the copper on the spring wire. We can use the formula:
Force (F) = mass (m) x gravity (g)
where mass (m) = 345 g = 0.345 kg, and gravity (g) = 9.81 m/s^2.
Therefore, F = 0.345 kg x 9.81 m/s^2 = 3.38 N.
1.1. The stress of the spring is:
σ = F / A
where A is the area of the spring wire. The diameter of the spring wire is 30 cm, which gives a radius of 15 cm or 0.15 m. Therefore, the area of the wire is:
A = πr^2 = π(0.15 m)^2 = 0.0707 m^2.
Thus, the stress of the spring is:
σ = 3.38 N / 0.0707 m^2 = 47.8 N/m^2.
1.2. The strain of the spring is:
ε = ΔL / L
where ΔL is the change in length of the spring and L is the original length of the spring. The spring stretches from 75 cm to 80 cm, which gives a change in length of:
ΔL = 80 cm - 75 cm = 0.05 m.
The original length of the spring is half the distance it stretches when holding the copper, or:
L = (75 cm + 80 cm) / 2 = 77.5 cm = 0.775 m.
Thus, the strain of the spring is:
ε = 0.05 m / 0.775 m = 0.0645.
1.3 The Young's modulus of the spring is defined as the ratio of stress to strain. We have already calculated the stress and strain of the spring in the previous parts of the question. So the Young's modulus of the spring is:
Young's modulus (E) = stress (σ) / strain (ε)
E = 47.8 N/m^2 / 0.0645 = 740.9 N/m^2
Therefore, the Young's modulus of the spring is 740.9 N/m^2.
1.4 The spring constant is defined as the ratio of the force applied to the spring to the resulting extension. We have already calculated the force applied to the spring in the previous parts of the question. To calculate the spring constant, we need to find the extension of the spring.
The extension of the spring is the difference between the final length and the original length. The original length of the spring is half the distance it stretches when holding the copper, or:
Original length (L) = (75 cm + 80 cm) / 2 = 77.5 cm = 0.775 m
The final length of the spring when holding the copper is 80 cm. So the extension of the spring is:
Extension (x) = Final length - Original length
x = 80 cm - 77.5 cm = 2.5 cm = 0.025 m
Therefore, the spring constant is:
Spring constant (k) = Force (F) / Extension (x)
k = 3.38 N / 0.025 m = 135.2 N/m
Therefore, the spring constant is 135.2 N/m.
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
Answers
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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Why is it the comet can’t do the same to the sun
Answers
Answer:
When a comet gets close to the Sun, part of the ice starts to melt. The solar winds then push the dust and gas released by the melting ice away from the comet. This forms the comet's tail.
Explanation:
Mathias is going to do some informational interviewing. What is one of the main benefits of doing these interviews?
O A.
OB.
O C.
O D.
A.He will gain insight about a new career opportunity.
B.He will likely be offered a position with a company.
C.He will be able to ask questions about job openings.
D.He will find out how much money everyone earns.
Answers
Answer:
A
Explanation:
One of the main benefits of informational interviewing is that it allows the person conducting the interviews to gain insights and information about a particular career or industry.
which of the following terms refer to the area immediately around the crime?
A crime scene
B bird's-eye view
C extent
D core area
Answers
Answer:
A....It is a crime sene
Explanation:
Why are water waves in a ripple tank considered two-dimensional waves?
Answers
Answer:
option b :
the waves spread out across the water surface
Explanation:
A two-dimensional water wave spreads in circular wave fronts.
A body, initially at rest, explodes into two masses M, and M₂ that
move apart with speeds v, and v₂ respectively. What is the ratio ?
V₂
A.
C.
M₁
M₂
(M₁2
1|2
B.
D.
M₂
M₁
M.
(M₂₁
Answers
Using conservation of momentum we will get that the ratio of velocity of mass M₁ and mass M₂ is ratio of M₂ to M₁
i.e. v₁/v₂=M₂/M₁
What is conservation of momentum ?
conservation of momentum states that in an isolated system the initial momentum will always be equal to final momentum.
given:
initial velocity of the object= 0m/s
initial momentum of the object = 0kg.m/s
now the mass M breaks into 2 pieces such that:
M₁ is the mass of first piece
M₂ is the mass of first piece
velocity of M₁ is v₁
velocity of M₂ is -v₂ as to conserve momentum
using conservation of momentum we get,
initial momentum = final momentum
0 = M₁×v₁ + M₂×(-v₂)
M₁×v₁= M₂×v₂
v₁/v₂ = M₂/M₁
using conservation of momentum we will get that the ratio of velocity of mass M₁ and mass M₂ is ratio of M₂ to M₁
i.e. v₁/v₂=M₂/M₁
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The United States uses only 10% of the world's energy.
True
False
Answers
Answer:
False
Explanation:
17%
the answer to your question is false
for f(x)=2x1 and g (x)=x2-7,find (f-g)(x)
Answers
Your f(x) value is a little ambiguous, so I am assuming the value of f(x)=2x-1
Answer:
(f-g)(x) = 2x-x²+6
Explanation:
f(x)=2x-1
g(x)=x²-7
(f-g)(x)=f(x)-g(x)
= (2x-1)-(x²-7)
= 2x-1-x²+7
= 2x-x²+6
Therefore,
(f-g)(x) = 2x-x²+6