a) The kinetic energy of the bullet is 1.996 joule.
b) The total work done on it is 1.996 joule.
c) The average force on the bullet is 2.661 N.
d) The magnitude of the force bringing it to rest is 1.33 N.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given that: . A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.
a) the kinetic energy of the bullet = (4.00/1000)×998/2 joule = 1.996 joule.
b) If it starts from rest, the total work done on it = kinetic energy of it = 1.996 joule.
c) If the work is done over a distance of 0.75 m, the average force on the bullet is = work done/distance = 1.996/0.75 N = 2.661 N.
d) If the bullet comes to rest after penetrating 1.50 cm into a piece of
metal, the magnitude of the force bringing it to rest is = 1.996/1.50 N = 1.33 N.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
Conductors in Parallel(310-10(H)(5): All parallel equipment grounding conductors are required to be a minimum No. 1/0.(True/False)
All parallel equipment grounding conductors must be a minimum No. 1/0 according to the code 310-10(H)(5). The answer is: False. The code 310-10(H)(5) does not specify a minimum No. 1/0 size for parallel equipment grounding conductors. It is important to follow the specific code requirements for conductor sizing in parallel installations.
According to NEC 310-10(H)(5), parallel equipment grounding conductors are not required to be larger than No. 1/0 unless they are part of a feeder or service entrance, in which case they must be at least the same size as the largest ungrounded conductor. However, it is recommended to use the same size equipment grounding conductors in parallel to simplify installation and minimize impedance differences between the conductors.
To know more about grounding conductors, please click on:
https://brainly.com/question/14405035
#SPJ11
A radioactive nucleus contains 128 nucleons. It emits a B-particle.
How many nucleons are now in the nucleus?
A
124
B 127
C 128
-D 129
How would you describe your appetite over the past couple of weeks? Have your eating habits altered in any way?
Answer:
no im in a rehab program so we eat the sam shi every day
Explanation:
brainlest?
Explanation:
During lockdown, I ate LOADS OF JUNK FOOD. TRUST ME!!
I gained 14 kg of weight and became 68 kg
just due to junk food.I am 13 btw and at that time I was 5 feet 4 so definitely fat. all those pizzas and burgers and all.then I realised that I have gained weight. I have to REDUCE MY WEIGHT. I am quite determined on what I say. it took me 3 months or so and I finally got back to my original weight. How? just by going for a stroll everyday, eating healthy and constantly working out. eating less is not the solution,eating less calories is the solution.Also, by eating healthy food,I grew taller. I am 5 feet 6 now. So yes, definitely it helps put alot and keep eating healthy food and you will definitely be healthy.
Thank You.
The number of turns in an ideal transformer's primary and secondary are 200 and 500, respectively. The transformer is rated at ten (10) kVA, 250 V, and 60 Hz on the primary side. The cross-sectional area of the core is 40 cm2. If the transformer is operating at full load with a power factor of 0.8 lagging, determine (a) the effective flux density in the core (1.173 T), (b) the voltage rating of the secondary (625 V), (c) the primary and secondary winding currents (40 A, 16 A), and (d) the load impedance on the secondary side and as viewed from the primary side (6.25 Ω).
The effective flux density in the core is approximately 1.173 T,
(b) the voltage rating of the secondary is 625 V
(c) the primary and secondary winding currents are 40 A and 16 A respectively
(d) the load impedance on the secondary side is 39.06 Ω, while the load impedance as viewed from the primary side is 6.25 Ω.
The effective flux density in the core can be calculated using the formula B
= (V_p * sqrt(2))/(4.44 * f * N_p * A_c)
where B is the flux density
V_p is the primary voltage
f is the frequency
N_p is the number of turns in the primary
A_c is the cross-sectional area of the core
Plugging in the given values, we have B
= (250 * sqrt(2))/(4.44 * 60 * 200 * 40 * 10^-4).
Simplifying this, we get B
≈ 1.173 T.
The voltage rating of the secondary can be determined using the turns ratio, which is the ratio of the number of turns in the secondary to the number of turns in the primary.
In this case, the turns ratio is N_s/N_p
= 500/200
= 2.5.
The secondary voltage is V_s
= V_p/N_p * N_s
= 250/200 * 500
= 625 V.
The primary winding current can be calculated using the formula I_p
= P/(V_p * power factor),
where P is the power rating of the transformer
Plugging in the given values, we have I_p
= 10000/(250 * 0.8)
= 40 A.
Similarly, the secondary winding current can be calculated using the formula I_s
= P/V_s
= 10000/625
= 16 A.
Finally, the load impedance on the secondary side can be calculated using the formula Z_s
= V_s/I_s
= 625/16
= 39.06 Ω.
The load impedance as viewed from the primary side is given by Z_p
= (V_p/I_p) * (N_s/N_p)^2
= (250/40) * (500/200)^2
= 6.25 Ω.
To know more about flux visit:
https://brainly.com/question/15655691
#SPJ11
.
A .63 kg ball is moving at 4.3m/s. What is the momentum of the ball?
Answer:
Given Mas (m) =63kg
velocity (v) =4.3m/s
momentum (p) =?
p=mv
63kgx4.3m/s
270.9kg.m/s
the momentum =270.9kg.m /s
If a ball of mass 0.63 kilograms is moving at 4.3 meters/seconds, then the momentum of the ball would be 2.709-kilogram meters/second.
What is momentum?It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle.
Momentum = mass of the object × velocity of the object
As given in the problem we have to calculate the momentum of the ball if it has a mass of 0.63 kilograms and moving with a speed of 4.3 meters/seconds,
The momentum of the ball = 0.63× 4.3
=2.709 kilogram meters/second
Thus, the momentum of the ball comes out to be 2.709-kilogram meters/second.
To learn more about momentum from here, refer to the link;
brainly.com/question/17662202
#SPJ2
Which of the following is NOT true regarding the acid-fast stain?
A) It is used to identify members of the genus Mycobacterium.
B) Acid-fast cells retain the primary dye after treatment with acid-alcohol.
C) If cells are acid-fast, they are gram-negative.
D) Acid-fast cells appear red in a completed acid-fast stain.
E) Non-acid-fast microbes appear blue in a completed acid-fast stain.
The statement that is NOT true regarding the acid-fast stain is option C) If cells are acid-fast, they are gram-negative.
The acid-fast stain is a differential staining technique commonly used to identify members of the genus Mycobacterium, which includes the causative agents of diseases like tuberculosis and leprosy. Acid-fast cells retain the primary dye, usually carbolfuchsin, even after being treated with acid-alcohol.
This is due to the high lipid content in their cell walls, which makes them resistant to decolorization. As a result, acid-fast cells appear red in a completed acid-fast stain.
Non-acid-fast microbes, on the other hand, do not retain the primary dye and are subsequently counterstained with a blue dye, such as methylene blue or brilliant green, making them appear blue in the stain.
However, the statement in option C is incorrect. Acid-fast staining is unrelated to the Gram staining technique, which classifies bacteria into Gram-positive and Gram-negative based on the structure of their cell walls.
Acid-fast cells, such as Mycobacteria, can be either Gram-positive or Gram-negative, as the acid-fast property is determined by the presence of mycolic acids in their cell walls, not by their Gram staining characteristics.
Learn more about statement here:
https://brainly.com/question/14425078
#SPJ11
The statement saying that if cells are acid-fast, they are gram-negative is NOT accurate. Acid-fastness and Gram staining are different properties of bacteria and do not have a direct correlation, making this the untruthful item among those listed. Acid-fast bacteria retain the primary red dye, whereas non-acid-fast bacteria take on the color of the counterstain, usually blue.
Explanation:The acid-fast stain is a common laboratory procedure used in microbiology to identify members of the genus Mycobacterium, including species like Mycobacterium tuberculosis and Mycobacterium leprae, which are responsible for diseases such as tuberculosis and leprosy, respectively.
Among the statements given, option C) 'If cells are acid-fast, they are gram-negative.' is NOT true. Acid-fastness and Gram staining characterize different properties of bacteria and do not directly correlate. Gram-negative or gram-positive refers to a bacterial cell's ability to retain a specific dye during a Gram stain procedure, not an acid-fast stain.
In an acid-fast staining procedure, acid-fast cells do retain the primary dye (usually carbol fuchsin) even after treatment with acid-alcohol and will appear red. Meanwhile, non-acid-fast microbes will not keep the primary dye and will take on the color of the counterstain, which is typically a blue color.
Learn more about Acid-fast Stain here:https://brainly.com/question/32107622
#SPJ2
What is the acceleration of a 2kg object that experiences 75N of force?
Answer:
37.5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
f is the force
m is the mass
From the question we have
\(a = \frac{75}{2} \\ \)
We have the final answer as
37.5 m/s²Hope this helps you
According to Einstein's equation, if 3 kg of mass "disappears" during a
reaction, then
A. 5.4 x 1018. J of energy is produced.
OB. the law of conservation of momentum is also violated.
OC. 9 x 108 J of energy is produced.
D. 2.7 x 1017 J of energy is produced.
HELP NOW
The 2.7 x 10^17 J of energy is produced when 3.0 kg mass disappears.
What is the energy produced when 3 kg of mass is converted to energy?According to Einstein's equation, the energy produced when mass is converted to energy is proportional to the mass of the substance.
The Einstein equation is given as:
\(E = mc^{2}\)
Mass = 3 kg
c = 3.0 × 10^8
\(E = 3 × (3.0 × 10^{8})^{2} = 2.7 \times 10^{17}\)
Therefore, 2.7 x 10^17 J of energy is produced when 3.0 kg mass disappears.
Learn more about Einstein's equation at: https://brainly.com/question/1603546
#SPJ1
Jalen is sliding around on his kitchen floor in his
socks going 3m/s. He gets to the living room, and
when he slides onto the carpet, his velocity slows
down to 1m/s. He also notices that his feet feel
warmer. Why did this happen? Explain your
answer.
Answer:
his feet feel warmer because of friction. when friction takes place then an object will warm up because friction is a universal law that always takes place. if you rub your hands together, you also experience the heat of frictional I hope that helped.
please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B
Answer:
ok so first ur not a failure and its okay don't be so hard on ur self
<3Two trains sound identical horns of frequency 410 Hz. One train is stationary. The other is moving away from an observer, who heats a beat frequency of 35 Hz. How fast is the moving train going?
The speed of the moving train is approximately 33.5 m/s.
The beat frequency is given by the difference in frequency between the two horns, which is equal to the Doppler shift in frequency due to the motion of the moving train. Using the formula for the Doppler effect, we can solve for the speed of the train:
\(f_b = f_s\dfrac{(v + v_o)}{(v + v_s)}\)
where \(f_b\) is the beat frequency, \(f_s\) is the horn frequency, v is the speed of sound, \(v_o\) is the observer's speed, and \(v_s\) is the speed of the source.
We know that \(f_s\) = 410 Hz and \(f_b\) = 35 Hz. The speed of sound in air at standard temperature and pressure is approximately 343 m/s. Since the observer is stationary, \(v_o\) = 0.
Solving for \(v_s\), we get:
\(v_s = \dfrac{(f_s + f_b)}{f_s - 1} \times v\)
\(v_s\) = ((410 Hz + 35 Hz) / 410 Hz - 1) * 343 m/s
\(v_s\) = 33.5 m/s
To know more about frequency, here
brainly.com/question/29664449
#SPJ1
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
HELP PLS
Explanation:
Refer the explanation in the picture
1. Identify which topic (Universal Gravitation or
Coulomb's Law) each diagram represents.
2. Write a sentence identifying 1 similarity between the diagrams.
3. Write a sentence identifying 1 difference between the diagrams.
1. The first diagram is Universal Gravitation, the second and third diagram are Coulomb's Law.
2. The similarity between the diagrams is that all the particles in the diagram experiences a force.
3. The difference is the first diagram experiences a gravitational force, while the second and third diagram experience electrostatic force.
What is the similarity between the diagrams?The similarity between the diagrams is determined as follows;
The second diagram and third diagram have charged particles.
The second diagram has same charges q₁, and q₂, while the third diagram has opposite charges.
The similarity between both diagrams is that they experience electric force given as product of the charges divided by the distance between them.
F = Kq₁q₂/r²
where;
q₁, q₂ are the magnitude of the chargesr is the distance between the charges.k is Coulomb's constantThe difference between the diagrams is while the first diagram experiences gravitational force, the second and third diagram experience electrostatic force.
Force experienced by the firt diagram is given as;
F = Gm₁m₂/r²
where;
G is Universal gravitation constantm₁, m₂ are the massesr is the distance between the massesLearn more about electric force here: https://brainly.com/question/26373627
#SPJ1
some of the earliest attempts to carry light through glass fibers took place because researchers were trying to:
The earliest attempts to carry light through glass fibers were made by researchers who were trying to transmit images through long distances.
This was achieved by using bundles of fibers that were coated with a transparent cladding material to keep the light inside the fibers. These early experiments paved the way for the development of modern fiber optic technology, which is now used in a wide range of applications including telecommunications, medicine, and scientific research. Today, fiber optic cables are capable of transmitting data at incredibly high speeds over very long distances with minimal loss of signal strength.
Researchers aimed to develop a technology that could transmit information more efficiently and with minimal signal loss. They experimented with glass fibers to guide light, as light can carry a vast amount of data at high speeds. This led to the invention of fiber-optic communication systems, which revolutionized the telecommunications industry by providing faster and more reliable data transmission.
To know more about glass fibers visit:
https://brainly.com/question/17097127
#SPJ11
multiple choice
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.
12). When you move your hand or foot, your body has converted potential energy into kinetic energy.
13). When coasting while roller skating, you eventually stop due to
friction causes kinetic energy to transfer to thermal energy.
14). A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is Kinetic increases, potential decreases.
What is kinetic energy, and how is it used?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all examples of objects in motion that use kinetic energy.
To know more about kinetic energy visit:
https://brainly.com/question/26472013
#SPJ1
constant-air-volume systems can deliver different levels of heating or cooling:______
Constant-air-volume (CAV) systems typically deliver a fixed volume of air to the conditioned space regardless of the heating or cooling needs.
In CAV systems, the supply air volume remains constant while the temperature of the supplied air is adjusted to provide heating or cooling.
To deliver different levels of heating or cooling in CAV systems, the temperature of the supplied air is modified by adjusting the output of the heating or cooling equipment. This is achieved by controlling the operation of heating sources (such as furnaces) or cooling sources (such as air conditioners or chillers) in response to the temperature requirements of the space.
By adjusting the set points and operation of the heating or cooling equipment, CAV systems can vary the temperature of the supplied air to meet different heating or cooling demands within the conditioned space. This allows for flexibility in maintaining comfortable conditions based on the desired temperature set points or occupant preferences.
Hence, Constant-air-volume (CAV) systems typically deliver a fixed volume of air to the conditioned space regardless of the heating or cooling needs.
To know more about Constant-air-volume here
https://brainly.com/question/30403652
#SPJ4
If the instantaneous velocity of an object is zero, then its acceleration must be: a. zero b. positive c. negative 1
d. 00 m/s2 e. not enough information
If the instantaneous velocity of an object is zero, the corresponding acceleration is zero. It indicates that there is no change in velocity at that specific instant. Acceleration is the rate at which an object's velocity changes over time.
It is defined as the derivative of velocity with respect to time. Mathematically, acceleration (a) is calculated as the change in velocity (Δv) divided by the change in time (Δt):
a = Δv / Δt
When the instantaneous velocity of an object is zero, it means that the object is not currently changing its position. At that specific moment, the object is at rest, and its velocity is constant (zero). Since there is no change in velocity (Δv = 0), the numerator of the acceleration formula becomes zero.
a = 0 / Δt
Any value divided by zero is zero, so the acceleration in this case is zero.
Therefore, if the instantaneous velocity of an object is zero, the corresponding acceleration is zero. It indicates that there is no change in velocity at that specific instant.
Learn more about relationship between velocity and acceleration here:
brainly.com/question/14683118
#SPJ11
i need help on this question please answer right away!
What is the peak power consumption of a 120-v ac microwave oven that draws 10. 0 a.
what happens when a glass rod is rubbed by a fur
Answer:
The glass rod becomes negatively charged and the fur will be positively charged.
Explanation:
This happens because electrons will be transferred from the fur to the glass rod.
Hope this helps!!!
what is the weight of a cubic meter of cork? could you lift it? (use 400 kg/m3 for the density of cork.)
400 kg is the weight of a cubic meter of cork and lifting it is impossible.
To find the weight of a cubic meter of cork, we need to multiply its density by the volume. In this case, the density is given as 400 kg/m³, and the volume is 1 cubic meter. Here's the calculation:
Weight = Density × Volume
Weight = 400 kg/m³ × 1 m³
Weight = 400 kg
The weight of a cubic meter of cork is 400 kg.
As for lifting it, that would depend on your physical capabilities. For most people, lifting 400 kg is not possible without the help of specialized equipment.
To learn more about density, refer:-
https://brainly.com/question/952755
#SPJ11
The weight of a cubic meter of cork can be calculated using the given density of 400 kg/m³. A very strong individual or a team of people working together might be able to lift it, though it would still be a challenging task to find the weight, you simply multiply the volume (1 cubic meter) by the density:
Weight = Volume × Density
Weight = 1 m³ × 400 kg/m³
Weight = 400 kg
So, the weight of a cubic meter of cork is 400 kg. Whether or not you could lift it depends on your physical strength. The average person would likely struggle to lift this weight, as it's well above the recommended limit of 25 kg for manual lifting according to health and safety guidelines.
To know more about cubic meter refer here:
https://brainly.com/question/30344308#
#SPJ11
Explain what cardiovascular exercise is in your own words. Explain the benefits of it and how it is different than muscular strength. Give 3 examples of cardiovascular exercises/activities
As the block slides down the incline, the sum of its gravitational potential energy with respect to the horizontal and kinetic energyA. DecreasesB. IncreasesD. Stays the same
Answer:
D. Stays the same
Explanation:
When a block slides down the incline, the potential energy will drecrease because it depends on the height and the kinetic energy will increase because it depens on the speed. However by the conservation of energy, the sum of these energies will be constant.
It means that the answer is
D. Stays the same
A spring with a spring constant of 100 N/m completes one oscillation in 2.4 seconds. What is the mass attached to the spring?
a. 9.7 kg
b. 14.6 kg
c. 13.3 kg
d. 5.2 kg
e. 12.3 kg
To solve this problem, we can use the formula for the period of oscillation of a spring-mass system:
T = 2π√(m/k)
where T is the period of oscillation, m is the mass attached to the spring, and k is the spring constant.
We are given that T = 2.4 seconds and k = 100 N/m. Substituting these values into the formula, we get:
2.4 = 2π√(m/100)
Squaring both sides and rearranging, we get:
m = (100/4π²) × (2.4²) = 12.3 kg (rounded to one decimal place)
Therefore, the mass attached to the spring is 12.3 kg.
Hi! I'd be happy to help you with your question. To find the mass attached to the spring, we need to use the formula for the period of a spring-mass system: T = 2π√(m/k), where T is the period (time for one oscillation), m is the mass, and k is the spring constant.
In this case, the spring constant (k) is 100 N/m, and the period (T) is 2.4 seconds. We can rearrange the formula to solve for the mass (m):
m = (T^2 * k) / (4π^2)
Substitute the given values into the formula:
m = (2.4^2 * 100) / (4π^2)
m ≈ (5.76 * 100) / (39.48)
m ≈ 14.61
The mass attached to the spring is approximately 14.61 kg.
To know more about spring-mass please visit....
brainly.com/question/11819378
#SPJ11
values such as cohen’s d or r2 (the percentage of variance accounted for) are used to measure ____.
Values such as Cohen's d or r2 are used to measure effect size.
Effect size measures the magnitude of the relationship or difference between variables in a statistical analysis. It provides a standardized way to quantify the strength or importance of an observed effect. Cohen's d is commonly used when comparing means between two groups, while r2 is used in the context of regression analysis to estimate the proportion of variance in the dependent variable accounted for by the independent variable(s).
Cohen's d expresses the difference between means in terms of standard deviations. A larger Cohen's d indicates a greater effect size, implying a more substantial difference between the groups being compared. On the other hand, r2 represents the proportion of variance in the dependent variable that can be explained by the independent variable(s). A higher r2 value signifies a stronger relationship or predictive power.
These effect size measures are valuable because they provide a standardized metric that allows researchers to compare the magnitude of effects across different studies or contexts. By considering effect size along with statistical significance, researchers can gain a more comprehensive understanding of the practical significance and relevance of their findings.
Learn more about Effect size
brainly.com/question/32791030
#SPJ11
HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!
Answer:
There are so many things that make human travel difficult.
Here are some ideas ;
1) Air and Water -Taking water and oxygen from the Earth is very expensive and very difficult. (Note that if there is lots of water, oxygen can be made from the water. Also, if there is carbon dioxide, oxygen can be made.)
2) Food - people will need to grow their own food on another planet - transportation to and from Earth is, again, too expensive. Plants need carbon dioxide and sunlight (real sunlight is best; artificial lighting will work, too.)
3) Energy - Human settlements will need to create their own energy. Energy can be created using the sun.
Note that these powers have their own advantages and disadvantages
4) Radiation - Radiation is harmful for people, plants and animals. On Earth, we are protected by a magnetic field and an atmosphere. Some planets and moons have neither; some have only one or the other. Very few have both. Some planets have very strong magnetic fields that create even more radiation. Crazy right .
5) Gravity - planets or moons with a lesser gravitational pull than the Earth will result in astronauts having smaller bone and muscle mass, which is a serious problem if they are to come back to Earth. The closer a planet's gravity is to Earth, the less of a problem this is.
6) Atmosphere - Some planets have no atmosphere while some have atmospheres that will crush people(Woah ) .It's easier to deal with low-pressure rather than high-pressure, but both are dangerous if there is an air leak.
7) Distance - the further a planet is from Earth, the harder it is to.
8) Temperature - The hotter or colder a planet is, the more energy it will take to change the temperature(and im not really sure how ).
Explanation:
The focal length of a converging lens is the distance.
The distance from the lens to the focal point is called the focal length.
What is a converging lens?Converging lenses, commonly referred to as convex lenses, have thicker centers and narrower upper and lower margins. The edges are outwardly curled. This lens has the ability to concentrate a beam of parallel light rays coming from the outside onto a spot on the opposite side of the lens. Convex lenses come in three different varieties, each with a unique structure.Convex mirrors are used in a car's side wing mirrors and rearview mirrors. This is so that the driver can see a wider area than the average person because of the distorted image that is created. aids the driver in keeping a closer eye on the road and vehicles in the back.Due to the greater field of view, it provides than usual, it is also utilized in driving mirrors and store security mirrors. Using blind corner mirrors to see around blind corners on the road is advantageous. By being able to see the traffic around tight turns, it improves road safety.To learn more about converging lens, refer to
https://brainly.com/question/15123066
#SPJ2
what energy happens when you plug in a blender?
Answer:
Electrical to kinetic
Explanation:
Answer:
Electrical energy is supplied to the blender.
Explanation:
This is converted into kinetic energy to turn the blades that blend the food, so energy is transferred from electrical to kinetic.
This is the useful energy change that we most want to happen.
You're welcome, have a good day :)
If an unbalanced force acts on an object, what will happen?
Answer:
An unbalanced force acting on an object causes it to accelerate. There are two points to note about the acceleration of an object when an unbalanced force acts on it. The bigger the unbalanced force acting on the object the bigger the acceleration of the object.Explanation:
you have been hired to design a spring-launched roller coaster that will carry two passengers per car. the car goes up a 10-m -high hill, then descends 15 m to the track's lowest point. you've determined that the spring can be compressed a maximum of 2.2 m and that a loaded car will have a maximum mass of 440 kg . for safety reasons, the spring constant should be 11 % larger than the minimum needed for the car to just make it over the top.
In order to design a spring-launched roller coaster that will carry two passengers per car, a spring constant of approximately 4255.78 N/m is needed for the roller coaster to be safe.
Several factors must be taken into consideration. The car must go up a 10-m-high hill and then descend 15 m to the track's lowest point. The maximum amount the spring can be compressed is 2.2 m, and a loaded car will have a maximum mass of 440 kg. Additionally, for safety reasons, the spring constant should be 11% larger than the minimum needed for the car to just make it over the top.
To determine the spring constant needed for the roller coaster, we can use the following formula:
U = (1/2)kx²where U is the potential energy of the spring, k is the spring constant, and x is the distance the spring is compressed. To find the minimum spring constant needed for the car to just make it over the top of the hill, we can set the potential energy of the spring equal to the potential energy of the car at the top of the hill:
U = mgh, where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill.
U = (1/2)kx²mgh
= (1/2)kx²k = 2mgh/x²
Plugging in the given values, we get: k = 2(440 kg)(9.81 m/s²)(10 m)/(2.2 m)²k ≈ 3831.64 N/m. To find the spring constant needed for safety reasons, we can multiply the minimum spring constant by 1.11:k' = 1.11k' ≈ 4255.78 N/m
To know more about roller coaster, refer here:
https://brainly.com/question/15908029#
#SPJ11