Neglecting air resistance, once a tossed ball leaves your hand

Answers

Answer 1
Its horizontal speed doesn't change, and its acceleration is 9.8 m/s^2 downward, until it hits the ground.
Answer 2

The motion of the ball after it leaves your hand is mentioned below -

We have the following statement -

" Neglecting air resistance, once a tossed ball leaves your hand ".

We have to predict the further motion of the ball.

What is Air Resistance?

Air resistance describes the forces that are in opposition to the relative motion of an object as it passes through the air.

According to the question -

After the ball leaves the hand, the following things will happen -

The ball will move upward and attain a maximum height.The force of gravity will act on it and will attract the ball downwards.The ball will down with an acceleration of 9.8 m/[tex]s^{2}[/tex].In the end, it will reach the ground.

Hence, the complete motion of the ball is predicted.

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Related Questions

Come on guys, I'm wasting all my point on this one question! Someone please answer it!

2. Discuss the relationship between electric and magnetic fields.

Answers

hope this helps the answer is: Relation between Electric and magnetic fields. I've read that both the electric and magnetic field vectors are perpendicular to each other in an electromagnetic wave. Passing steady current through a straight conductor shows some magnetic flux because most of the energy is wasted into outer space as magnetic lines
An electric field that changes with time ( such as due to the motions of charged particles) will also influence the magnetic field of that region of space. 

An electric field is a property that describes the space that surrounds electrically charged particles. A magnetic field is a field of force produced by a magnetic object or particle. This can also happen from a changing electrical field.

Hope this helps! :)

What happens to an electron when energy is added?

Answers

When an electron is hit by a photon of light, it absorbs the quanta of energy the photon was carrying and moves to a higher energy state. One way of thinking about this higher energy state is to imagine that the electron is now moving faster, (it has just been "hit" by a rapidly moving photon).
Final answer:

When energy is added to an electron, it gets excited and jumps to a higher energy level. The electron, while in the excited state, is unstable and usually returns to its lower energy level, emitting energy as light. Line spectra observed in elements are based on this phenomenon.

Explanation:

When energy is added to an electron, what happens is termed as excitation. This means that the electron absorbs the energy and jumps from its initial energy level (or orbital) to a higher energy level. The electron, in the excited state, is unstable and usually falls back to its lower energy level or ground state, by emitting energy in the form of light.

The more energy supplied, the farther the electron is likely to jump. This phenomenon is the basis of the line spectra observed in elements. Each element has a unique number of electrons and energy levels resulting in a unique line spectrum.

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To calculate how much rest energy an object contains, you multiply
a. its mass times its velocity.
b. the force on it times the length of time the force acts.
c. its mass times its acceleration.
d. its mass times the speed of light squared.
e. one

Answers

This is what e=mc² means.
So rest energy is RH side of equation that is its mass times speed of light squared.

from an origin you walk 3 meters east 7 meters west and then 6meters east . where are you now relative to the origin?

Answers

(2,0) I'm pretty sure that's an origin

You are in the middle of a large field. you walk in a straight line for 100 m, then turn left and walk 100 m more in a straight line before stopping. when you stop, you are 100 m from your starting point. by how many degrees did you turn?

Answers

Refer to the diagram shown below.

A = startimg point.
C = stopping point.

Because ΔABC is equilateral, therefore ∠CAB = 60°, which is the turning angle.

Answer: 60°

Final answer:

To solve the problem, vector A and B must be broken down into their horizontal and vertical components. After summing these components, the magnitude and direction of resultant vector R can be calculated, which represents the total distance and the compass direction of the walk.

Explanation:

The student's question involves determining the resultant vector displacement and compass direction after walking two different legs with specified angles and distances. This involves understanding the concepts of vectors and trigonometry in the context of a coordinate system.

The first leg of the walk is 12.0 m at a direction 20° west of north, and the second leg is 20.0 m at a direction 40° south of west. By representing these walks as vectors A and B, we can find their resultant R by vector addition (R = A + B). Using trigonometric functions, we need to break down both A and B into their horizontal (x-axis) and vertical (y-axis) components, sum them, and then calculate the magnitude and direction of the resultant vector R, which will be the distance and compass direction from the starting point.

If a car is traveling along a highway at a speed of 30 meters/second, what distance will it cover in one minute ?

A: 0.5 meter
B: 2 meters
C: 90 meters
D: 180 meters
E: 1,800 meters

Answers

The correct answer would be 
E) 1,800 meters.

Calculate the binding energy e of the boron nucleus 11 5b (1ev=1.602×10−19j). express your answer in millions of electron volts to four significant figures.

Answers

Final answer:

The binding energy of the Boron nucleus, 11 5B, is computed from its mass defect and converted from joules per nucleus to MeV per nucleon using provided conversion factors. The final binding energy is approximately 0.000494 MeV (or 494 KeV) to four significant figures.

Explanation:

In Physics, the binding energy of a nucleus refers to the amount of energy needed to separate it into individual protons and neutrons. We can calculate this using the mass-energy equivalence equation as it relates to the mass defect. For example, the binding energy of the Boron nucleus, 11 5B, can be determined from its mass defect.

Based on the provided values, the binding energy in joule per nucleus is 7.913 × 10-¹1 J. Switching this to the units of MeV (Mega electron volts) per nucleon, we can use the conversion factor of 1 MeV equals 1.602 × 10-¹³ J. This yields approximately 494 MeV.

To express this in terms of millions of electron volts to four significant figures as requested, divide by 1,000,000. This gives the final binding energy as 0.000494 MeV, or 494 KeV (Kilo electron Volts) to four significant figures.

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harvesting timber (wood) from a forest does not harm___________.

Answers

Your answer would be soil. When you harvest timber (wood), you affect the wildlife around it, not the soil. Cutting down a tree won't make much of a difference to the soil underneath or around it.
It does not harm the buildings or the cars in a nearby city. However, it does harm just about everything in the forest that's anywhere near the (former) tree.

What happens to the temperature as we traveled closer to the center of the earth ?

Answers

The temperature gets warmer as you get closer to the center of the Earth.
Final answer:

The temperature increases as we travel closer to the center of the Earth. This is due to heat generation from nuclear decay and slow cooling since the formation of the Earth. Other factors, such as the Earth's emissivity and radiant energy from the Sun, also play a role in the Earth's overall temperature.

Explanation:

The temperature increases as we travel closer to the center of the Earth due to the heat generated by mechanisms like nuclear decay and slow cooling. When the Earth formed, it was very hot and it has been slowly cooling down ever since. However, nuclear decay processes within Earth's interior release energy that has slowed this overall cooling process and allow the inner layers to remain molten. The phenomenon of heat increasing with depth is similar to stars, where the temperature is highest at the center and drops towards the outer regions.

An important factor in this process is the Earth's emissivity, which affects how heat is transferred into space and forms negative feedback systems. The Earth radiates heat into space, and it also receives radiant energy from the Sun. The balance between these processes, among others, determines the Earth's overall temperature.

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Would a limestone building weather more rapidly in Homer, Alaska, or in Honolulu, Hawaii? Explain your reasoning.

Answers

Hawaii for sure. 

Well, Hawaii is hot (most of the time I think) and Alaska is always freezing (or at least cold). So hawaii. 

Answer:

hawaii prob

Explanation:

when you see something, your brain processes the visual information so that you are aware of it. Most of this processing occurs in the ____ mind

Answers

Final answer:

The brain processes visual information primarily in the conscious mind, and specifically within the visual cortex in the occipital lobe. This involves recognizing shapes and spatial orientation through the 'what' and 'where/how' pathways. The brain is also responsible for regulating automatic functions and is the source of the mind's cognitive processes.

Explanation:

When you see something, your brain processes the visual information so that you are aware of it. Most of this processing occurs in the conscious mind. The visual information is sent to the occipital lobe at the back of the brain for processing in the visual cortex. Here, visual stimuli are recognized as shapes and interpreted. Inputs from both eyes are used to extract depth information. Additionally, parallel pathways called the "what pathway" and the "where/how" pathway are involved in object recognition and understanding the spatial orientation of objects, respectively.

Thought, memory, perception, emotion, and imagination are all part of the cognitive process that takes place in the mind. The conscious mind includes awareness of these processes and everything that we are consciously thinking about. However, the unconscious mind also plays a role in processing thoughts and memories which we may not be actively aware of.

The brain is responsible for regulating both the voluntary actions, like moving muscles, and involuntary functions, like breathing and heartbeat. Sensory information goes through filtering by emotions and memories, which can intensify the experience.

Final answer:

Sensory processing in the brain for visual information occurs in the cerebral cortex, specifically in the primary visual cortex located in the occipital lobe. This area recognizes basic shapes and combines them to form more complex shapes. Inputs from both eyes are compared to extract depth information.

Explanation:

In the cerebral cortex, sensory processing begins at the primary sensory cortex, then proceeds to an association area, and finally, into a multimodal integration area. For example, the visual pathway projects from the retinae through the thalamus to the primary visual cortex in the occipital lobe. This area is primarily in the medial wall within the longitudinal fissure. Here, visual stimuli begin to be recognized as basic shapes. Edges of objects are recognized and built into more complex shapes. Also, inputs from both eyes are compared to extract depth information. Because of the overlapping field of view between the two eyes, the brain can begin to estimate the distance of stimuli based on binocular depth cues.

A 30 g bullet moving a horizontal velocity of 500 m/s comes to a stop 12 cm within a solid wall. (a) what is the change in the bullet's mechanical energy? (b) what is the magnitude of the average force from the wall stopping it?

Answers

Final answer:

The change in mechanical energy of the bullet is 3750 J. The magnitude of the average force from the wall stopping it is 1250 N.

Explanation:

(a) The change in mechanical energy of the bullet can be calculated by finding the initial mechanical energy and subtracting the final mechanical energy. Mechanical energy is the sum of kinetic energy and potential energy. Since the bullet comes to a stop, its final kinetic energy is zero. Therefore, the change in mechanical energy is equal to the initial kinetic energy of the bullet. The initial kinetic energy can be calculated using the formula KE = 1/2mv^2, where m is the mass of the bullet (30 g = 0.03 kg) and v is the velocity of the bullet (500 m/s). Plugging in the values:

KE = 1/2(0.03 kg)(500 m/s)^2

KE = 1/2(0.03 kg)(250000 m^2/s^2)

KE = 3750 J

Therefore, the change in mechanical energy of the bullet is 3750 J.

(b) The magnitude of the average force exerted by the wall on the bullet can be calculated using the formula for impulse. Impulse is equal to the change in momentum, and momentum is equal to the product of mass and velocity. Therefore, the equation is:

Impulse = Change in momentum = Force * Time

Since the bullet comes to a stop, its initial momentum is equal to its final momentum, which is zero. Therefore, the impulse is equal to the initial momentum. The initial momentum can be calculated using the formula momentum = mv:

Momentum = (0.03 kg)(500 m/s) = 15 kg*m/s

Now, we can calculate the average force using the equation Impulse = Force * Time:

15 kg*m/s = Force * (12 cm / 100 m)

Force = (15 kg*m/s) / (12 cm / 100 m) = 1250 N

Therefore, the magnitude of the average force from the wall stopping the bullet is 1250 N.

Which pair of graphs represent the same motion of an object

Answers

the answer would be C

Answer:

C

Explanation:

In this pair of graph we have the displacement versus time graph as concave up and if we consider it to be parabolic function then as we know that the velocity is given by the slope of the displacement-time graph.

[tex]v=\frac{ds}{dt}[/tex]

where:

s= displacement

t= time

We get the linear inclined slope graph of the velocity versus time graph which stands true if we differentiate a parabolic function.

Also observe that at time t=0 we have slope of displacement graph as zero so  corresponding to it we get velocity as zero in the velocity graph.

How much sweat (in ml ) would you have to evaporate per hour to remove the same amount of heat a 150 w light bulb produces in an hour? ( 1w=1j/s .)?

Answers

The first thing to do here is to figure out how many joules of energy would be produced by your lightbulb in one hour. As you can see, the conversion factor to use here is #"1 W" = "1 J"/"1 s"# This is basically a reminder of the fact that the watt, a unit of power, is defined as an energy of one joule delivered in one second. Since one hour is known to have #60# minutes, i.e. #60 xx "60 s"#, you will have #60 xx 60 color(red)(cancel(color(black)("s"))) * "140 J"/(1color(red)(cancel(color(black)("s")))) = "504000 J" = "504 kJ"# Your next step here will be to use the enthalpy of vaporization of water to figure out how many grams of water would be evaporated by that much heat. #DeltaH_"vap" = "44.66 kJ mol"^(-1)# Convert this to kilojoules per gram by using water's molar mass #44.66 "kJ"/color(red)(cancel(color(black)("mol"))) * (1color(red)(cancel(color(black)("mole H"_2"O"))))/("18.015 g") = "2.479 kJ g"^(-1)# This means that the mass of water that can be evaporated by #"504 kJ"# of heat will be #504color(red)(cancel(color(black)("kJ"))) * ("1 g H"_2"O")/(2.497color(red)(cancel(color(black)("kJ")))) = "201.8 g"# Now, assuming that the sweat is pure water, you can approximate its density to be equal to #"1.0 g mL"^(-1)#. This means that the volume of water that can be evaporated will be #201.8 color(red)(cancel(color(black)("g"))) * "1 mL"/(1.0color(red)(cancel(color(black)("g")))) = color(green)(bar(ul(|color(white)(a/a)color(black)(2.0 * 10^2 "mL")color(white)(a/a)|)))# The answer is rounded to two

A 75.0-kg man steps off a platform 3.10 m above the ground. he keeps his legs straight as he falls, but his knees begin to bend at the moment his feet touch the ground; treated as a particle, he moves an additional 0.60 m before coming to rest. (a) what is his speed at the instant his feet touch the ground? (b) if we treat the man as a particle, what is his acceleration (magnitude and direction) as he slows down, if the acceleration is assumed to be constant?

Answers

Refer to the diagram shown below.

u = 0, the initial vertical velocity
Assume g = 9.8 m/s² and ignore air resistance.

At the first stage of landing on the ground, the distance traveled is
h = 3.1 - 0.6 = 2.5 m.
If v =  the vertical velocity at this stage, then
v² = u² + 2gh
v² = 2*(9.8 m/s²)*(2.5 m) = 49 (m/s)²
v = 7 m/s

At the second stage of landing on the ground, let a =  the acceleration (actually deceleration) that his body provides to come to rest.
The distance traveled is 0.6 m.
Therefore
0 = (7 m/s)² + 2(a m/s²)*(0.6 m)
a = - 49/1.2 = - 40.833 m/s²

Answers:
(a) The velocity when the man first touches the ground is 7.0 m/s.
(b) The acceleration is -40.83 m/s² (deceleration of 40.83 m/s²) to come to rest within 0.6 m.
Final answer:

The man's speed at touching the ground is calculated using the free fall speed formula, and his deceleration is determined using a kinematic equation accounting for the change in velocity over the distance he decelerates. The speed is the square root of twice the product of gravitational acceleration and the height fallen, and the acceleration is the negative of the initial speed squared divided by twice the stopping distance.

Explanation:

The student's question involves calculating a person's speed as they touch the ground after falling from a certain height, and then determining the acceleration as they come to a stop. We can solve these physics problems using principles of mechanics, specifically kinematics for part (a) and dynamics for part (b).

Part (a): Speed upon Touching the Ground

For the man's speed at the instant his feet touch the ground, we use the kinematic equation for an object in free fall, assuming no air resistance:

Speed = √(2 × gravitational acceleration × height)

Where the gravitational acceleration is approximately 9.81 m/s², and the height he falls is 3.10 m. Thus, the speed would be calculated as √(2 × 9.81 m/s² × 3.10 m).

Part (b): Acceleration While Slowing Down

To determine the acceleration while the man slows down, we use the kinematic equation:

Acceleration = (final speed² - initial speed²) / (2 × distance over which deceleration occurs)

Here, the final speed is 0 m/s (since he comes to rest), the initial speed is the speed found in part (a), and the distance is 0.60 m. The man's acceleration can then be calculated, and its direction would be upwards since it acts to decelerate the downward motion.

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When Javier touches a hot mug of tea, energy is transferred from the surface of the mug to his hand. What kind of energy is this?

Answers

Answer:

Thermal energy

Explanation:

Thermal energy refers to the energy due to the random motion of the particles inside a substance/objects. The faster the particles moves in an object, the more thermal energy it can transfer. This is also directly related to the concept of temperature of an object: the higher the temperature of an object, the faster its particles move, the more thermal energy the object can transfer.

According to the basic laws of thermodynamics, thermal energy (also called heat) is always transferred spontaneously from an object at higher temperature to an object at lower temperature. In this problem, the hot mug is warmer than Javier's hand, so thermal energy is transferred from the hot mug to Javier's hand.

When Javier touches a hot mug of tea, the energy transferred from the surface of the mug to his hand is thermal energy. Thermal energy is the energy associated with the temperature of an object or a substance

In this case, the hot mug of tea has a higher temperature than Javier's hand. When they come into contact, thermal energy flows from the higher-temperature object to the lower-temperature object until they reach thermal equilibrium. This transfer of thermal energy results in the sensation of heat being felt by Javier's hand.

Therefore, the energy transferred from the hot mug to Javier's hand is in the form of thermal energy.

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Which describes the image produced by the lens?
upright and real
inverted and real
smaller than the object and upright
smaller than the object and inverted

Answers

Converging only; diverging lenses can only produce upright imageswhich are reduced in size; an inverted and magnified image can be produced by a converging lens when the object is located between F and 2F. also know as t-6 over 6 the science oligical sign

hope this helped

The image produced by the lens (diverging lens) will be inverted and real.

Image produced by a converging lens

The following are characteristics of image formed when an object is placed in front of the focal point of a converging lens.

Image is magnifiedVirtual and UprightImage produced by a diverging lens

The images produced by a diverging lens when the object is outside the focal point are;

Real and inverted

Thus, we can conclude that based on the options given, the image produced by the lens (diverging lens) will be inverted and real.

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Moira is drawing the electric field lines around a pair of charges. One charge is positive, and the other charge is negative.

Answers

the answer to the question, "How should she draw the field lines?" is option C, away from the positive charge and toward the negative charge

Honeybees can see light in the ________ range of the electromagnetic spectrum. question 8 options:

Answers

ultraviolet

Have a great day!

Your question is missing the options. I've found the complete question online. It is as follows:

Honeybees can see light in the ________ range of the electromagnetic spectrum.

A. beta

B. infrared

C. ultraviolet

D. gamma

Answer:

The correct option is C. ultraviolet.

Explanation:

Even though visible to honeybees, the ultraviolet light is not visible to human eyes because its frequency is higher, and its wavelength is shorter than our brains are capable to perceive. Ultraviolet wavelength ranges from 10nm to 400 nm, which is longer than X-rays, but shorter than visible light for us.

Sally made breakfast for the family on Saturday morning. She put some bread in the toaster. When the bread popped up, Sally grabbed the toast. "Ouch! That's hot!" Sally exclaimed. What was the SOURCE of the heat that made the bread hot?

Answers

The hot wire in the toaster would be the source, or the outlet giving the toaster power. 

The heat that made in a bread toaster is infrared radiation. The coils inside the toaster produce infrared radiation and thus produce enough heat energy to be hot.

What is toaster?

A bread toaster is a device used for cooking bread and related food items. The bread pieces can  be easily heated using a toaster. Inside a toaster sufficient heat energy is produced to cook the breads.

Generally electric toasters uses a nichrome wire which wrapped back and forth surrounding a sheet made of mica. The nichrome coil produce high electrical resistance to get hot. One of the advantage of this alloy is that, they does not oxidise as iron.

A toaster radiated much energy by consuming maximum amount of electrical energy  with high power rate. Heat is produced by conducting electricity through non-magnetic alloy nichrome wires.

The radiating wire make the coils glow red and which indicates the coils have much heat energy to toast the breads. This heat energy make its sheet surroundings to be hot and that's why sally felt it too hot.

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Acceleration is the change in distance over time. true or false

Answers

False. Because acceleration is what makes you start moving, Speed is what changes the distance over time. 

Pam is taking a train from the town of rome to the town of florence. rome is located 30 miles due west of the town of paris. florence is 25 miles east, and 45 miles north of rome. on her trip, how close does pam get to paris? (round your answer to three decimal places.)

Answers

Final answer:

This problem is a Pythagorean theorem problem. Pam's journey takes her 25 miles east and 45 miles north from her starting point, creating a right angle triangle with the point Paris. The shortest distance from Paris can thus be calculated with the Pythagorean theorem, yielding the result of approximately 45.276 miles.

Explanation:

To solve this, you need to recognize that this is a pythagorean theorem problem where you are looking for the shortest distance from Paris to the train as it travels from Rome to Florence. Initially, Rome is 30 miles west of Paris. When Pam travels to Florence, she goes 25 miles east (towards Paris) and 45 miles north.

Considering these overall movements, Pam has effectively moved 5 miles east and 45 miles north from Paris. You can imagine this as a right-angled triangle, where the base is 5 miles (east), the height is 45 miles (north), and the distance from Paris to the train is the hypotenuse.

We then apply Pythagoras' theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides to find the hypotenuse.

Using Pythagoras’ theorem: c² = a² + b², where 'a' and 'b' are the two shorter sides and 'c' is the hypotenuse (the distance we’re looking to find), we can calculate the shortest distance a² = 5² = 25 and b² = 45² = 2025. Thus, c² = 25 + 2025 = 2050, so c ≈ √2050 = 45.276. Hence, the closest distance that Pam gets to Paris is approximately 45.276 miles.

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How to find friction force given mass and acceleration?

Answers

you do m times a equal ff

Final answer:

To find the friction force given mass and acceleration, you can use Newton's second law of motion, F = m * a.

Explanation:

To find the friction force given mass and acceleration, you can use Newton's second law of motion. The formula is F = m * a, where F is the force, m is the mass, and a is the acceleration. The force of friction can be calculated using this formula, as long as the acceleration is due to friction.

For example, if you have a mass of 10 kg and an acceleration of 2 m/s² due to friction, the friction force can be found as follows: F = 10 kg * 2 m/s² = 20 N.

Remember to consider the direction of the force and acceleration when interpreting the results.

which of these measurements has 3 significant digits? A)29.3CM B) 290CM C)0.0029CM D)290.CM

Answers

29.3 centimeters from the given list of the measurement would have the three significant digits.

Therefore the correct answer is option A.

What are significant figures?

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

29.3 centimeters would have the three significant figures.

290 centimeters would have the two significant figures.

0.0029  centimeters would have the two significant figures.

290.0 centimeters would have the two significant figures.

Thus, the three significant digits of 29.3 centimeters from the provided list of the measurement would be the correct answer.

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What is the difference between kinetic and potential energy? what is the difference between kinetic and potential energy? kinetic energy is stored energy and has the capacity to do work; potential energy is expressed through motion. kinetic energy may eventually become potential energy, but potential energy cannot become kinetic energy. kinetic energy and potential energy are synonymous; they are defined as the capacity to do work, actively putting matter into motion. kinetic energy is energy in action, while potential energy is stored energy?

Answers

kinetic energy is energy in action and potential energy is stored energy

Answer:

kinetic energy of an object possesses kinetic energy due to its motion or movement.the potential energy of an object is due to its position or chemical composition

Explanation:

kinetic energy...various forms are=

thermal energy

motion energy

hydroelectric energy

wind energy

electrical energy

sound energy

various forma of potential energy are...=

chemical energy

Elastic energy

nuclear energy

Gravitational energy.

Where is potential energy the greatest on a rollercoaster?

Answers

On a roller coaster, the greatest potential energy is at the highest point of the roller coaster

The point at which the potential energy will be the highest on the rollercoaster will be the peak at which the rollercoaster can go.

What is potential energy?

Potential energy is a term of battery bank that depends on the interaction between several elements. A spring's potential energy rises when it is crushed or stretched.

A steel ball does have more potential energy if it is lifted above the floor when opposed to dropping to the ground. When raised, it is able to perform greater labor.

Instead of being a property of specific entities or particles, gravitational potential is a property of systems. For illustration, the system made up of Jupiter and the raised ball has far more energy contained as they move apart.

As we know that with increase in the height the potential energy increases then the maximum height at which the rollercoaster can go will be its maximum potential energy.

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You swing one yo-yo around your head in a horizontal circle. then you swing another yo-yo with twice the mass of the first one, but you don't change the length of the string or the period. how do the tensions in the strings differ?

Answers

The tension on the second yoyo is twice as large as the tension with the first yoyo. The tension you notice on the string of the yoyo is due to centripetal force. The equation for how much force you have is F = m*v^2/r Since in the problem, the only change you made to the system was a doubling of the mass, it will cause the overall force to double.

Answer:

[tex]F'=2\times F[/tex]

Explanation:

You swing one yo-yo around your head in a horizontal circle. The tension acting in the string is equal to the centripetal force. Its formula is given by :

[tex]F=\dfrac{mv^2}{r}[/tex]

r is the radius of circular path or the length of the string. It remains constant. If the mass of the yo- yo swing is double such that, m' = 2m

New centripetal force is equal to,

[tex]F'=\dfrac{m'v^2}{r}[/tex]

[tex]F'=\dfrac{2mv^2}{r}[/tex]

[tex]F'=2\times \dfrac{mv^2}{r}[/tex]

[tex]F'=2\times F[/tex]

So, the new tension in the strings gets doubled.

A roller coaster, traveling with an initial speed of 15 meters per second, decelerates uniformly at â7.0 meters per second2 to a full stop. approximately how far does the roller coaster travel during its deceleration?

Answers

Final answer:

The roller coaster with an initial speed of 15 meters per second and decelerating uniformly at 7.0 meters per second² travels approximately 16.07 meters before it comes to a full stop.

Explanation:

To find out how far the roller coaster travels during its deceleration, we can use the formula derived from the equations of motion for uniformly accelerated motion (or deceleration in this case):

d = v2 / (2 * a)

Here, d is the distance traveled, v is the initial speed, and a is the deceleration.

Given that the initial speed (v) of the roller coaster is 15 meters per second and the deceleration (a) is 7.0 meters per second2, we can plug these values into the formula:

d = (15 m/s)2 / (2 * 7.0 m/s2)

d = 225 m2/s2 / 14 m/s2

d = 16.07 meters

Therefore, the roller coaster travels approximately 16.07 meters during its deceleration to a full stop.

A soccer ball is kicked with a velocity of 8 m/s at an angle of 23. What is the ball's acceleration in the vertical direction as it flies through the air?

Answers

Regardless of the speed of the ball or its angle, once it has left the kickers foot it's acceleration is always g downward. -9.81m/s^2
No matter what the starting velocity it has, when it leaves the kickers foot the only accelearation is gravitational acceleration downwards

A hiker walked 2 blocks North, 1 block West, 3 blocks South, and 3 blocks East. What was the hiker's displacement and total distance?

Answers

Total distance hiked = 2+1+3+3 = 9 blocks.

He ends up 2 blocks south and 2 blocks east of where he started.

The magnitude (size) of his displacement is sqrt(2^2 + 2^2) = sqrt(8) = about 2.83 blocks.

The direction of his displacement is Southeast.
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