The acceleration of the car is 1.067 m/[tex]s^{2}[/tex].
Explanation:
Acceleration is the measure of change in velocity experienced by any object for a given time period. So it is determined as the ratio of difference in the velocity to the time period.
As here the initial velocity is stated as zero, so u = 0. And the final velocity is termed as 50 km/h. Then we have to determine the acceleration in 13 s. So here we have to convert the units as common units. Thus, 50 km/h should be converted to m/s as [tex]\frac{50*1000}{3600}=13.88 m/s[/tex]
So now, the initial velocity u = 0 and final velocity v = 13.88 m/s and the time period is given as t = 13 s.
[tex]Acceleration = \frac{v-u}{t}=\frac{13.88-0}{13}=1.067 m/s^{2}[/tex]
So the acceleration of the car is 1.067 m/[tex]s^{2}[/tex].
The two imaginary lines of latitude that are farthest from the equator are called the
----- and the
North Pole and South Pole.
The equation used to find acceleration is a = ____.
Answer: a= fnet/m
Explanation:
a = (v - u)/t
It is the formula for finding acceleration
need help today please
6) True: the car is exerting an equal and opposite force on the truck
7) True: the astronaut can drift back by throwing the tool forward
8) True: the bug exerts an equal and opposite force on you
9) Second Law
Explanation:
6)
This problem can be solved by applying Newton's third law of motion, which states that:
"When an object A exerts a force (action) on another object B, then object B exerts an equal and opposite force (reaction) on object A"
In this problem, we can identify the car and the truck as object A and object B. Here we are told that the truck is exerting a force on the car: therefore, according to Newton's third law, the car is also exerting an equal and opposite force on the truck.
Therefore, the statement is true.
7)
This problem can be also solved by thinking in terms of the Newton's third law of motion.
In fact, at the beginning the astronaut is drifting away from the space station. When he throws away the tool, in the forward direction (away from the space station), he exerts a force on the tool: we can identify this force as the action force, and its direction is away from the space station.
As a result, according to Newton's third law, the tool will also exert a reaction force (equal and opposite) on the astronaut: therefore, the force exerted by the tool on the astronaut is toward the space station, and therefore the astronaut will be pushed back towards the station.
Therefore, the statement is true.
8)
Again, this problem can also be explained using Newton's third law.
In fact, the moment you step on the bug, your foot exerts a force (the action force) on the bug, pushing downward.
As a result, according to Newton's third law, the bug exerts back on you an equal and opposite force (upward). The reason you don't feel this force at all is that your mass is much larger than that of the bug, therefore your acceleration is negligible.
Therefore, the statement is true.
9)
This problem can be explained by using Newton's second law, which states that the net force acting on an object is equal to the product between its mass and its acceleration. Mathematically:
[tex]F=ma[/tex]
where
F is the net force
m is the mass
a is the acceleration
In this problem, the ball slows down as it crosses the field: this means that it has an acceleration (more precisely, a negative acceleration). According to the law, this means also that there is a net, unbalanced force acting on it, in the direction opposite to the motion of the ball. In fact, this force is the force of friction between the ball and the surface.
Learn more about Newton laws of motion:
brainly.com/question/11411375
brainly.com/question/3820012
#LearnwithBrainly
The catastrophic event shown in this picture formed over water, produced high winds and heavy rains, and brought a large storm surge to New Orleans. The natural disaster displayed in this picture is a:
Group of answer choices
volcano
hurricane.
water spout.
continental drift
Answer:
the answer is b.
Explanation:
cause i took the test
True or false: You can change the speed of a sound wave by increasing the wavelength.
Group of answer choices
False. Wave speed is determined by frequency, not wavelength.
False. You must decrease the wavelength in order to increase the speed of sound.
False. The speed of sound can only be changed by changing the medium.
True. If the wavelength is increased, then more waves pass per second and the speed of sound increases.
The wavelength of the wave does not affect the speed of wave. Therefore, the given statement is false.
What is wavelength?Wavelength can be described as the distance between identical points or adjacent crests in the adjacent cycles of a waveform propagated in space.
Wavelength can be defined as an inversely related to frequency, which denotes to the number of wave cycles per second. The higher the frequency of wave, the shorter will be its wavelength.
The change in amplitude of the sound wave does not affect its speed. The speed of sound affects by the properties of the medium through which it is traveling.
Changing the wavelength of the sound wave has no effect on the speed of sound. As the distance from the source will increase, the amplitude of the sound wave decreases. The speed of sound depends on the density or nature of the medium.
Therefore, the speed of sound wave can only be changed by changing the medium.
Learn more about wavelength, here:
https://brainly.com/question/4112024
#SPJ6
Final answer:
The claim that increasing the wavelength changes the speed of a sound wave is false, as sound speed is determined by the medium and the relationship between frequency and wavelength, not by the wavelength alone.
Explanation:
The statement 'You can change the speed of a sound wave by increasing the wavelength' is false. The speed of sound (v) is determined by the medium through which it travels and is expressed by the formula v = fλ, where f is the frequency and λ is the wavelength.
Since frequency (f) is determined by the source and remains constant when sound moves from one medium to another, if the speed of the wave (v) changes due to changing medium, the wavelength (λ) must correspondingly adjust to maintain this relationship. Hence, the only way to change the speed of sound is by changing the medium, not by directly altering the wavelength.
If a swimmer is traveling at a constant speed of 0.85 m/s, how long would it take to swim the length of a 50-meter Olympic-sized pool?
Answer:
It takes 58.8 seconds to swim the length of a olympic-sized pool.
Explanation:
Uniform Velocity Motion
It describes the situation when an object moves in such a way that it travels equal distances at equal times in the same direction. For example, if it travels x=50 m in t=10 seconds and later it travels x=200 m in t=40 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is
[tex]x=v.t[/tex]
We know a swimmer is traveling at a constant speed of 0.85 m/s. We are required to find how long would it take him to swim the length of an x=50-meter Olympic-sized pool.
From the above equation, we solve for t
[tex]\displaystyle t=\frac{x}{v}[/tex]
[tex]\displaystyle t=\frac{50\ m}{0.85\ m/s}[/tex]
[tex]\boxed{t=58.8\ s}[/tex]
It takes near 59 seconds to swim the length of a olympic-sized pool
A swimmer would take about 59 seconds to swim the length of a 50-meter Olympic-sized pool when traveling at a constant speed of 0.85 m/s.
Explanation:The time it takes to cover a specific distance traveling at a constant speed can be calculated using the equation time = distance / speed.
In this question, the swimmer is traveling at a constant speed of 0.85 meters per second and the distance to be covered is a 50-meter Olympic-sized pool. To solve the problem we will use the equation stated above:
time = 50 m / 0.85 m/s = 58.82 seconds approximately.
So, at a constant speed of 0.85 m/s, it would take a swimmer about 59 seconds to swim the length of a 50-meter pool.
Learn more about Time-Distance-Speed Calculation here:https://brainly.com/question/35869086
#SPJ3
Which of the following is a free, cloud-based word processor that
allows you to create, edit and collaborate in real-time with other
users?
Select one:
O Windows
O Google Docs
O Cloud Computing
O Operating System
The second option G. Docs is a free, cloud-based word processor that allows you to create, edit, and collaborate in real-time with other users.
Which of the following is a free, cloud-based word processor?G. Docs is a web-based application offered by G.o.o.g.l.e within its suite of office tools. It allows users to create, edit, and store documents online, enabling real-time collaboration. Multiple users can simultaneously work on the same document, making it an excellent tool for collaborative projects. G. Docs automatically saves changes, reducing the risk of data loss, and offers seamless integration with G. Drive for easy storage and sharing of documents. The cloud-based nature of G. Docs eliminates the need for specific operating systems, making it accessible from various devices with internet connectivity.
In summary, the correct answer is G. Docs, a versatile cloud-based word processor that promotes efficient collaboration and accessibility across different platforms.
Read more about processor here:here:https://brainly.com/question/985406
#SPJ3
Which the following statements about the force of friction is true?
A. Friction acts in the direction opposite to weight.
B. Friction acts in the same direction as the normal force.
C. Friction acts in the same direction as weight.
D. Friction acts in the direction opposite to an object's motion.
Who knows how to do this?
Answer:
yes it is D
Explanation:
The following statements true about the force of friction is Friction acts in the direction opposite to an object's motion. The correct option is D.
What is frictional force?When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.
When an object experiences force, it moves in the direction of force, but opposed due to roughness of the surface. This opposition offered is opposite to the force applied. Their directions are opposite to each other.
Thus, the correct option is D.
Learn more about friction force.
https://brainly.com/question/1714663
#SPJ2
NEED HELPP ASAP!!!!
This is when opposite poles of a magnet move toward each other and toward certain types of materials.
the answer is attraction
A species is defined as organisms capable of interbreeding and producing fertile offspring. Diane Dodd examined the idea of speciation in fruit flies. She took fruit flies from a single population and divided them into separate populations living in different cages, each receiving different food sources. One group was given maltose-based foods and the other, starch-based foods. After many generations, the flies were tested to see which flies they preferred to mate with. Dodd found that "maltose flies" preferred other "maltose flies.” In this case, what lead to speciation?
Answer:
The separation of the single population (allopatric speciation) led to speciation.
Explanation:
"Speciation" refers to the evolutionary process of organisms in order to become a "distinct" species. There are several factors affecting speciation and these are: Genetic Drift, Natural Selection, Mutation and Geographic Isolation.
The situation above is an example of the factor called "Geographic Isolation." This type of isolation is reproductive in nature. This happens when organisms are separated or divided by a barrier. In the case above, the fruit flies were divided into different cages. One cage was for fruit flies who fed on maltose-based foods, while the other cage was for fruit flies who fed on starch-based foods.
More specifically, this case may also be referred to as "allopatric speciation." It happens when a single population is divided. Thus, over time the separated species acquire genetic differences. These differences prevent them from breeding with each other once they are reunited. This is the reason why the maltose-based flies prefer to mate only maltose-based flies as well.
Answer: Habitat isolation
Explanation: I just guessed
A ball is tied to a 1.3 m string and whirled in a circular motion with a force of 220 N. If its speed is 6 m/s, (a) what is it centripetal acceleration? (b) What is the mass of the ball?
The centripetal acceleration is 27.692 kg m / s^2.
The mass of the ball is 7.94 kg.
Explanation:
The curved path of an object experience a force known as centripetal force. Its direction is always pointing to the motion of the body towards the center of curvature of the path.centripetal force Fc = (mass * square of velocity) / radius
where m represents mass in kg
v represents velocity
r represents radius in a meter.
The acceleration experienced in uniform circular motion is called as centripetal acceleration.It always points toward the center of rotation and is perpendicular to the linear velocity. centripetal acceleration = v^2 / r= (6 * 6) / 1.3
= 27.692 kg m / s^2.
The mass of the ball is found by using the centripetal force formula,
centripetal force Fc = m v^2 / rm = (F * r) / v^2
= (220 * 1.3) / 36
mass of the ball m = 7.94 kg.
Down syndrome most often occurs when _____.
A: a person inherits a recessive allele
B: blood fails to clot properly
C: sickle-shaped cells become stuck in blood vessels
D: chromosomes fail to separate properly during meiosis
Answer:
D: chromosomes fail to separate properly during meiosis
Explanation:
What subjects combine to make the field of physical science?
Biology and Physics
Chemistry and Biology
Physics and Chemistry
Earth Science and Chemistry
Final answer:
The field of physical science mainly combines the subjects of Physics and Chemistry, with significant interdisciplinary overlap where these subjects connect with others like Biology and Earth Science. Chemistry, serving as the 'central science,' bridges various areas within the physical and life sciences.
Explanation:
The field of physical science primarily combines the subjects of Physics and Chemistry. Physical science is a broad term that encompasses various sciences dealing with inanimate natural objects and the laws that govern them. It is distinct from the life sciences (like Biology), which concern living organisms. In the interdisciplinary nature of scientific study, there is significant overlap among various fields; Chemistry is often termed the "central science" due to its integral role in connecting physical, earth, and life sciences. Fields such as biochemistry combine principles of Biology and Chemistry, while geophysics might combine Geology with Physics.
Earth Science and Chemistry also have significant overlap, for example in geochemistry. However, when referring specifically to the major branches that make up physical sciences, Physics and Chemistry are the core focus. Additionally, mathematics plays a crucial role across all scientific disciplines, as it provides the language in which scientific laws and phenomena are expressed. This interconnected nature of sciences leads to the creation of various interdisciplinary fields, illustrating the difficulty in drawing distinct boundaries between each scientific discipline.
What is the force in units of newtons of a 40 pound object?
Answer:
Explanation:
Given:
Mass of the object = [tex]40[/tex] pound
We have to calculate force (N).
Newton = [kg.ms^-2]=[MLT^-2]
So we have to convert the units.
[tex]1[/tex] pound = [tex]0.45[/tex] kg
[tex]40[/tex] pound = [tex]0.45\times 40 = 18.14[/tex] kg
Here Force and Weight are equivalent as the object is in stationary state.
Weight= product of mass and gravity.
Value of g = 9.8 ms^-2
Force = [tex]m\times g[/tex]
So the force of the object in (N) = [tex]18.4\times 9.8[/tex]
= [tex]177.77\ N[/tex]
The force in units of Newtons = 177.77
A wire 0.57 m long carrying a current of 9.7 A
is at right angles to a uniform magnetic field.
The force on the wire is 0.49 N.
What is the strength of the magnetic field?
Answer in units of T
The strength of the magnetic field is 0.089 T
Explanation:
The force caused by a magnetic field on a current-carrying wire is given by the equation
[tex]F=ILB sin \theta[/tex]
where
I is the current in the wire
L is the length of the wire
B is the strength of the magnetic field
[tex]\theta[/tex] is the angle between the direction of the field and the wire
In this problem, we have
L = 0.57 m
I = 9.7 A
F = 0.49 N
[tex]\theta=90^{\circ}[/tex] since the wire is perpendicular to the field
Solving for B, we find the strength of the field:
[tex]B=\frac{F}{ILsin \theta}=\frac{0.49}{(9.7)(0.57)(sin 90^{\circ})}=0.089 T[/tex]
Learn more about magnetic fields:
brainly.com/question/3874443
brainly.com/question/4240735
#LearnwithBrainly
A student is performing an investigation of energy transformation. She places a 500-gram car at point X on a wooden racetrack.
What would be the most likely outcome of a 700-gram car being placed on the racetrack at starting point X?
Group of answer choices
It would have more kinetic energy at the start, resulting in greater potential energy at the bottom of the track.
It would have more potential energy at the start, resulting in greater kinetic energy at the bottom of the track.
It would have less kinetic energy at the start, resulting in less potential energy at the bottom of the track.
It would have less potential energy at the start, resulting in less kinetic energy at the bottom of the track.
It would have more kinetic energy at the start, resulting in greater potential energy at the bottom of the track.
Answer: Option A.
Explanation:
The car at the race track will accelerate at point X. It will have more kinetic energy at the start because the car is at the slope and with time it will result in greater potential energy at the bottom.
As we go down towards the bottom of the track, the kinetic energy will get converted into potential energy because here the body starts coming at rest and is not moving.
Answer:
yall its A
Explanation:
A tablet draws 10.0 A when plugged into a 150-V line. If another tablet has twice as much resistance, what would the current of the second tablet be if plugged into the same line?
0.60 A
1.5 A
5 A
15 A
Answer:
5A
Explanation:
In case 1, I = 10A, V = 150volt
Using Ohms law, V = IR
R = V/I = 150/10 = 15 ohms
Case 2, when R is double
R = 15 ohms
I = V/R = 150/30 = 5A
Answer:
5 A
Explanation:
Choose the best description of a magnetic field line.
O
A. A magnetic field line shows the direction a positive charge would
move.
O
B. Magnetic field lines for a bar magnet are parallel to the magnet.
O
C. Magnetic field lines always point north.
O
D. A magnetic field line shows the direction a compass needle would
point.
SUBMIT
Answer:
D
Explanation:
If someone has to find the direction of the magnetic field lines, they would have to keep a compass near it, then it's north pole would show the direction.
Thank you. If u have further inquiries feel free to ask me.
I hope u will follow me and make this the brainliest.
With love,
Joel
The best description of a magnetic field line is option D. A magnetic field line shows the direction a compass needle would point.
What are the magnetic field lines?Magnetic field traces are the strains in a magnetic discipline the tangent of which at any factor will give the sector route at that point and its density offers the value of the sphere. few properties of magnetic field lines:-
⇒ Magnetic subject traces do not intersect each other.
⇒ They emerge from the north pole and merge/end at the south pole.
⇒ They flow from the north pole to the south pole outdoor the fabric and from the south pole to the north pole within a material.
⇒these lines formed are cl
osed curves.
Learn more about the magnetic fields here:-https://brainly.com/question/14411049
#SPJ2
How can an object become charged
Answer:
An object gets charged when it's atoms lose or gain an electron to become an ion. For example: ... This means that the fur loses it's electrons to the plastic rod and both objects are now charged. The fur is positively charged because it lost electrons and the rod is negatively charged because it gained electrons
Explanation:
comment how it helps
Answer:
An object becomes charged when it loses or gains electrons.
Explanation:
There are three ways to charge an object:
1)friction,
2)conduction
3)induction.
1) Friction involves rubbing on material with another, resulting in electrons moving from one surface to another.
2)Conduction on the other hand is used to charge things that are good conductors, such a metal.
3)The final way to charge an object is by induction and is, again, best for conductive materials.
Ceres has an orbital semi-major axis = 2.768 AU. What is Ceres’ orbital period?
Answer: 4.6 years
Explanation:
According to Kepler’s Third Law of Planetary motion “The square of the orbital period [tex]T[/tex] of a planet is proportional to the cube of the semi-major axis [tex]a[/tex] (size) of its orbit”:
[tex]T^{2}\propto a^{3}[/tex] (1)
However, if [tex]T[/tex] is measured in Earth years, and [tex]a[/tex] is measured in astronomical units (unit equivalent to the distance between the Sun and the Earth), equation (1) becomes:
[tex]T^{2}=a^{3}[/tex] (2)
Knowing [tex]a=2.768 AU[/tex] and isolating [tex]T[/tex] from (2):
[tex]T=\sqrt{a^{3}}[/tex] (3)
[tex]T=\sqrt{(2.768 AU)^{3}}[/tex] (4)
Finally:
[tex]T=4.6 years[/tex] This is Ceres' orbital period
What is the number of complete oscillations of a wave per second?
Answer:The commonly used unit for the number of oscillations per second is the Hertz, so that this same pendulum is said to have a frequency of 2 Hertz, or 2 Hz. A third measure of oscillatory motion is the maximum distance of travel of the oscillator. This is called its amplitude.
Explanation:
The number of complete oscillations of a wave per second is known as frequency. It is measured in hertz (Hz). To calculate frequency, divide the number of cycles by the time they occur in, with the relationship between frequency and period (T) being inversely proportional.
The number of complete oscillations of a wave per second is referred to as the frequency of the wave. The unit of measurement for frequency is the hertz (Hz), where 1 Hz equals one cycle per second. The frequency (f) of a wave is calculated by dividing the number of complete wave cycles by the time duration (At) in which these cycles occur. If a mass attached to a spring completes 50 full cycles in 30 seconds, to find the frequency, one would divide 50 by 30, resulting in a frequency of approximately 1.67 Hz.
The relationship between frequency and the period (T) of a wave is inversely proportional, meaning as the period (the time it takes for one complete oscillation) increases, the frequency decreases, and vice versa. This relationship is mathematically represented as f = 1/T. Frequency offers a measure of how fast a wave oscillates in terms of the number of cycles per second, while the period represents the duration of one complete cycle.
1.
A 2 kg toy car moves at a speed of 5 m/s.
a. What is the kinetic energy of the car?
b. If a child applies a 3 N force for 2 m in the same direction the car is already moving, how much work is
done on the car?
c. What is the change in the car’s kinetic energy from the applied force?
d. What is the final kinetic energy of the car?
e. What is the velocity of the car after the child applies the 3 N force?
Answer:
a.25J b.6J c.6J d.31J e.[tex]\sqrt{31}[/tex] m/s
Explanation:
a. using the formula Ek=1/2mv^2, the kinetic energy would be 1/2*2*5^2=25J
b. we can separate the work the child applied. So the work he/she applied would be 2*3=6J (W=FS)
c. by the "Energy conservation law", we knew the energy can be "add up" since they wouldn't "disappear". Thus, the change in the car’s kinetic energy is 6J.
d.25+6=31J
e.now you know the new Ek, and the m, just use the formula again! 31=1/2*2*v^2. So the velocity after the child push it would be [tex]\sqrt{31}[/tex] m/s
The kinetic energy and the work done by the car is:
(a) 25 J
(b) 6 J
(c) 6 J
(d) 31 J
(e) 5.57 m/s
According to the question,
Force,
F = 3 NDistance,
d = 2 m(a)
The Kinetic energy of the car will be:
→ [tex]K_i = \frac{1}{2} mv_0^2[/tex]
[tex]= \frac{1}{2}\times (2)\times (5)^2[/tex]
[tex]= 25 \ J[/tex]
(b)
The work done by the car will be:
→ [tex]W = fd[/tex]
[tex]= 3\times 2[/tex]
[tex]= 6 \ J[/tex]
(c)
The change in the car's K.E will be:
→ [tex]\Delta K = W[/tex]
[tex]= 6 \ J[/tex]
(d)
The car's final K.E will be:
→ [tex]K_f = W+K_i[/tex]
[tex]= 6+25[/tex]
[tex]= 31 \ J[/tex]
(e)
The final velocity of the car will be:
→ [tex]v_f = \sqrt{\frac{2 K_f}{m}}[/tex]
[tex]= \sqrt{\frac{2\times 31}{2} }[/tex]
[tex]= 5.57 \ m/s[/tex]
Thus the above solution is correct.
Learn more:
https://brainly.com/question/17858145
Elements are arranged in groups by similar atomic structure on the periodic table. This allows for an element's properties to be predicted based on general periodic trends. One of these trends, atomic radius, increases down a group and to the left along a period and can be defined as __________.
The number of energy levels increases as you move down a group as the number of electrons increases
Explanation:
The determination of distance of separation between the two nuclei of likely atoms connected together called atomic radius. This in a group usually increases from top to bottom. With the increase in the atomic number in the group, the positive nuclear charge increases again. However, the amount of principle energy is also increasing.
High principle energy levels made up of orbits of higher size than low energy levels. The impact of this exceeds the increased nuclear charge, and thus the atomic radius gets increased when going down a group in the periodic tables.
Atomic radius gradually decreases from the side left to the right during the elemental period. This is because all electrons of the same size are added over time or in a family of elements.
Answer:
Literally, the Atomic radius of a chemical element is a term used to describe the size of an atom.
Atomic radius can be regarded as a measure of the size of its atoms. This is often characterized by the mean or typical distance of the chemical element from the center of the nucleus to the boundary of the surrounding shells of electrons.
In general, the size of an atom will decrease as you move from left to the right of a certain period
Periodic Trends of Atomic Radius. An atom gets larger as the number of electronic shells increase; therefore the radius of atoms increases as you go down a certain group in the periodic table of elements.
Which of the following is not a possible environmental consequence of urban sprawl?
A)
deforestation
B)
pollution
C)
loss of natural resources
D)
decrease in water quality
E)
none of the above
All options provided (deforestation, pollution, loss of natural resources, and decrease in water quality) are possible environmental consequences of urban sprawl, making the correct answer 'none of the above'.
The question, "Which of the following is not a possible environmental consequence of urban sprawl?" explores the impact of urban sprawl on the environment. Urban sprawl, which refers to the spread of a city and its suburbs over more and more rural land at the periphery, leads to several negative environmental impacts. These include deforestation, as forests are cleared to make way for new developments; pollution, both from increased vehicle emissions and construction activities; loss of natural resources, as land that could be used for agriculture or that serves as natural habitats is consumed for development; and a decrease in water quality, due to increased runoff and pollution entering water bodies. Therefore, the correct answer to this question is E) none of the above, as all the options listed are potential consequences of urban sprawl.
Which describes the formation of Horizon B?
a-forms at the surface
b-features parent material
c-undergoes the most change
d-forms due to decomposed material
Answer:
It is C, undergoes the most change.
Explanation:
Horizon O forms at the surface due to the accumulation of organic material
Horizon A is mineral rich and forms due to decomposed organic material from above
Horizon B undergoes the most change and no longer resembles parent material
Horizon C features parent material and is barley affected by the soil formation process
Edg2020 notes :)
The gravitational force between two objects is 2400 N. What will be the gravitational force between the objects if the mass of one object is doubled?
Answer:
4800N
Explanation:
F=GmM/r^2
F=infinite m
F=2F
=2(2400N)
=4800N
Answer:4800 N
Explanation: you just multiply
How does a roller coaster convert potential energy to kinetic energy and then back to potential energy again and again?
Roller coasters convert potential energy into kinetic energy as they go downhill due to gravity which increases their speed. This kinetic energy is converted back into potential energy as they go uphill and slow down. This cycle continues until friction and air resistance slow the roller coaster down.
Explanation:Roller coasters are an exciting way to experience the conversion of potential energy to kinetic energy and back again. Let's break down this concept in simpler terms.
1. The roller coaster car starts with a high potential energy at the starting point, usually at the top of a hill. The car gets this energy from the work done by the machines that lift it up to this starting height.
2. As the roller coaster starts to move down the slope, this potential energy begins to convert into kinetic energy. The potential energy decreases while the kinetic energy increases - this is due to the car's increased speed due to gravity pulling it downhill.
3. At the lowest point of the track, the car has the maximum kinetic energy and minimum potential energy.
4. When the car again starts to climb up another smaller hill, the kinetic energy is converted back into potential energy as the car slows down and gains height.
5. In a frictionless situation, this process would continue without end. However, in reality, some energy is lost due to friction and air resistance, and that's why roller coasters eventually come to a stop.
Learn more about Energy Conversion in Roller Coasters here:https://brainly.com/question/33557668
#SPJ3
A boat's motor pushes with 25 N of force and viscous
friction resists with 5 N. If the boat is 100 kg, find its
acceleration.
Answer:0.2m/s^2
Explanation: newton's first law of motion: F=ma. Fnet=applied force-frictional force. Therefore, Fnet=ma. Make "a" the subject of the formula which will result a=(Fappl-Frict)m.
Therefore a=(25-5)N/100kg
a= 20/100
a= 0.2m/s^2
A boat's motor exerts 25 N of force, while viscous friction exerts 5 N. The boat's acceleration is 0.2m/s² if it weighs 100 kg.
What is newtons first law?Newton's first law states that if a body is at rest or moving in a straight line at a constant speed, it will continue to move or remain at rest until acted upon by a force.Newton's laws of motion imply a relationship between an object's motion and the forces acting on it. The first law states that an object's motion will not change unless a force acts on it.F = ma is Newton's first law of motion. Fend = frictional force plus applied force. As a result, Fend = ma. Make "a" the subject of the formula, resulting in a = (Fappl-Frict)m.Therefore a = (25-5)N/100kg
a = 20/100
a = 0.2m/s²
To learn more about newton's first law refer to:
https://brainly.com/question/1222214
#SPJ2
The centripetal force of an object moving in a circle varies jointly with the mass of the object and the square of its velocity and
inversely as the radius of the circle. A 7-gram object moving in a circle with a radius of 25 centimeters and at velocity of
20 centimeters per second has a centripetal force of 112 dynes. Find the radius of the circle (in cm) on which of a 17-gram
object moving in a circle travels with velocity of 40 centimeters per second and the force on the object is 5,440 dynes.
Answer:
5 cm
Explanation:
Centripetal force varies directly with mass and the square of velocity, and inversely with radius. If k is the constant of proportionality:
F = k m v² / r
When m = 7 g, v = 20 cm/s, and r = 25 cm, then F = 112 dynes. Solving for k:
112 = k (7) (20)² / 25
k = 1
When m = 17 g, v = 40 cm/s, and F = 5440 dynes:
5440 = 1 (17) (40)² / r
r = 5
The radius is 5 cm.
The radius of the circle is 5 cm.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that: The centripetal force of an object moving in a circle varies jointly with the mass of the object and the square of its velocity and
inversely as the radius of the circle.
So, F ∝ mv²/r
F = kmv²/r.
In first case:
Mass of the object; m = 7 gram.
Radius of the circle; r = 25 cm.
Velocity of the object : v =20 cm/s.
And centripetal force: F = 112 dyne.
So, 112 = k 7×20²/25
⇒ k = 1.
In second case:
Mass of the object; m = 17 gram.
Velocity of the object : v =40 cm/s.
And centripetal force: F = 5440 dyne.
Radius of the circle; r =?
So, 5440 = 1×17 ×40²/r
⇒ r = 5 cm.
Hence the radius of the circle is 5 cm.
Learn more about velocity here:
https://brainly.com/question/18084516
#SPJ2
in loading a lorry, a man lifts boxes each of weight 100N through a height of 1.5m.
How much work does he do in lifting one box?
Work done =
Answer:
The amount of work done in order to lift the box is [tex]150\ Joule[/tex]
Explanation:
Given the weight of each box is [tex]100N[/tex]
And the man lifts boxes at a height of [tex]1.5m[/tex]
We need to find the amount of work done.
The amount of work done is the product of applied force [tex]F[/tex] that causes the displacement [tex]d[/tex].
In our problem force is [tex]100N[/tex] and displacement is [tex]1.5m[/tex].
Now, work done
[tex]=force\times displacement\\=100\times1.5\\=150\ Joule[/tex]
So, the amount of work done in order to lift the box is [tex]150\ Joule[/tex]