a roller coaster starts at rest at the top of a 51-meter-high frictionless track. at the bottom of the track, what is the approximate speed of the roller coaster?

Potential energy plus kinetic energy are combined to form mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.

E mechanical = U + K

E mechanical = mechanical energy

U = potential energy

K = kinetic energy

Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.

Renewable energy is also fueled by mechanical energy. In order to efficiently produce electricity or convert energy, many sources of renewable energy depend on mechanical energy.

Applying,

Mechanical Energy (M.E.) = ((1/2)mv²) + (m × g × h)

                                          = ((1/2)*100*45²)+(100*9.8*12)

                                          = 101250+ 11760

                                          = 113010 J

m is the object's mass, v is its speed, g is its gravitational acceleration, and h is its height above the ground.

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Answer:

Proteins are organic compounds containing nitrogen that are made of long, linked chains of amino acids and are a part of all living organisms.

V=1160*24S/3750 + 2590*16E/3750 is the final velocity.

Given,

An 1160 kg car traveling south at 24.0 m/s

A 2590 kg delivery truck traveling east at 16.0 m/s gets collided and attached to the car.

Solution:

The momentum is conserved here

1160*24 S + 2590*16 E =(1160+2590)V

V = 1160*24 S + 2590*16 E/3750

V=1160*24S/3750 + 2590*16E/3750

The final velocity is V=1160*24S/3750 + 2590*16E/3750.

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This tell them the speed of the train.

Because it has no specified direction and just magnitude, speed is a scalar number. The amount and direction of velocity are both vector variables.

Speed, as a scalar number, is the pace at which an item travels. The average speed is defined as the distance (a scalar number) divided by the time ratio. Speed is oblivious to direction. Velocity, on the other hand, is a vector quantity that is conscious of its direction.

Speed is described as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time.

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Answer:

hope it helps

Explanation:

Although part of your question is missing, the complete question is "Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of −1.85 m/s. The force shown in the force-time graph acts on a 2.4kg object."

The final velocity of the particle is 1.43 m/s.

The impulse of force is the product of the resultant force and duration of time under the impulse-momentum theorem.

Δρ = ΔF + Δ t = area under F-t curve.

area = area of rectangle + area of triangle( 1/2 base ×height )

∴ area = (2× 3) + 1/2 (2×2) = 8 N

To find the final velocity, Δρ = mass × Δvelocity

let the final velocity be v'

∴  8 = 2.4 × ( v' - (-1.85))

2.4v' = 8- 4.44

v' = 1.43 m/s.

Hence the final velocity of the particle is 1.43 m/s.

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The force of gravity can more easily overcome the force of friction if the ramp is steep. Obviously, gravity causes an object on an incline to move faster down the slope than an object on a flat slope. Because of the increased height, falling takes longer.

Hence, The force of gravity can more easily overcome the force of friction if the ramp is steep.

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The minimum radius of the circle is 5249m

The 76kg pilot's effective weight at the bottom of the circle is 5214N

The pilot's effective weight at the top the circle is 3724N

Here's the complete question:

a jet pilot takes his aircraft in a vertical loop.

a) if the jet is moving at a speed of 2000 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0g's

b) calculate also the 76kg pilot's effective weight ( the force with which the seat pushes up on him) at the bottom of the circle.

c) calculate the pilot's effective weight at the top the circle. (Assume the same speed.)

a) To determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0g's.

v =2000 km/h

v = 2000/3.6 m/s

v = 555.6 m/s

centripetal acceleration, a

a = v²/r

Therefore

6g = v²/r

r = v²/(6g)

r =555.6²/(6*9.8)

r = 5249 m

b) The 76kg pilot's effective weight at the bottom of the circle

   76*(6g + g) = 76*7*9.8 = 5214 N

c) The pilot's effective weight at the top the circle.

    76*(6g-g) = 76*5*9.8 = 3724 N

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If the air resistance is negligible, it will take 2 seconds to reach the ground.

What is air resistance?

Air resistance is the force that opposes an object's relative motion as it moves through the atmosphere. By working against the incoming flow's speed, these drag forces make the object travel more slowly. In contrast to other resistance forces, drag has a direct relationship with velocity because it is the portion of the net aerodynamic force that operates in the opposite direction from the direction of the movement.

As given in the question,

(initial vertical velocity) u = 0,

Air resistance is neglected,

g = 9.8 m/s².

The time (t), required for the pen to reach a vertical velocity of 19.62 m/s is given by:

19.62 m/s = 0 + (9.8 m/s²)*(t s)

t = 19.62/9.8 = 2.00 s

Answer:  2.0 s

Therefore, it will take 2 seconds for pan to reach the speed of 19.61 m/s.

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Complete Question

Isabella drops a pen off her balcony by accident while celebrating the successful completion of a physics problem. Assuming air resistance is negligible, how many seconds does it take the pen to reach a speed of 19.62 m/s?

The advice the interviewee offered for students interested in his/her career was to be hardworking and persistent.

This is referred to as the chosen profession or occupation of an individual and is characterized by the individual taking the required courses or training which are needed in the execution of the tasks related to it.

The advise which was offered to the students was to be hardworking and persistent as there are lots of challenges and obstacles which one will face on the journey and will help overcome them and achieve the desired result in practicing the career.

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The Electric Field of the capacitor is given by E = q/kaε, Voltage is given by V = qd/kaε and the capacitance is given by kaε/d.

The magnitude of charge on each plate is given by q, area between the plates is given by a, dielectric constant is given by k, distance between the plates is d. The area of the enclosed charge 'a' is given by

q(enclosed) = σa(q/a)a, where σ is surface charge density given by q/a.

Now, according to gauss law, E = q/kaε.

Since, voltage = Electric field × Distance

V = E×d

V = (q/kaε)×d

V = qd/kaε

Now, the capacitance = Charge/Voltage

C = q/V

C = q/(qd/kaε)

C = kaε/d.

Thus, the value of Electric Field, Voltage and Capacitance are E = q/kaε, V = qd/kaε and C = kaε/d respectively.

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Complete Question

A parallel-plate capacitor has the volume between its plates filled with plastic with dielectric constant K. The magnitude of the charge on each plate is Q. Each plate has area A, and the distance between the plates is d.1. Use Gauss's law to calculate the magnitude of the electric field in the dielectric.2. Express your answer in terms of the given quantities and appropriate constants.3. Use the electric field determined in part A to calculate the potential difference between the two plates.4. Express your answer in terms of the given quantities and appropriate constants. Use the result of part B to determine the capacitance of the capacitor.5. Express your answer in terms of the given quantities and appropriate constants.

From the question, we can see that the momentum is a vector thus the change in the momentum with respect to the ground observer ought to be zero.

The term momentum has to do with the  product of the mass and the velocity of a body. Let us recall that the momentum of a body is a vector quantity thus we have to consider the magnitude as well as the direction of the vector.

With this said, we are going to consider the question more critically. We are told that; a  ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest.

Looking at the fact that the momentum of the body is a vector and we have seen told that the ball bounces off the wall and returns with the same magnitude of momentum the  it follows that the change in the momentum is zero.

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Missing parts;

A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?

a. 0

b 0.5p

c 2p

d 1.5p

The ratio of the masses is m1/m2.In terms of some or all of the variables a, μ, and θ, as well as the magnitude of the free-fall acceleration g.

m1/m2 = a+g(sinθ+μcosθ)/g−a

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.

To be a vector quantity, acceleration must have both a magnitude and a direction. As a vector quantity, velocity is also. A time interval's velocity vector change divided by that interval's duration is the definition of acceleration. The limit of the ratio of the change in velocity over a certain period to that period as that period approaches zero is used to determine instantaneous acceleration.

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The youngest is Calliope.

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Answer:

A. Is the bow made by hand?

Explanation:

Hope this helps.

The resultant velocity of the boat would be 22.11  meters/second northeast.

What is Velocity?

Velocity is the overall distance an object travels in a given amount of time.

As stated in the question that A boat crosses a river heading north at a speed of 22 meters per second relative to the water. To get the board's resulting velocity, we should know the river's eastward velocity, which is 2.2 meters per second.

velocity of the river = 2.2 meters/second to the east

velocity of the boat = 22 meters/second

The resultant velocity of the boat = √(22² + 2.2²)

                                                         = 22.11  meters/second.

Thus, The boat's final velocity would be 22.11 meter/second towards northeast.

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Factors that are needed to determine the amount of heat absorbed by an aluminum cube are the initial and final temperatures of aluminum cube.

Heat absorbed by aluminum is the amount of heat taken during the heating process.

To calculate the heat absorbed durring heating process, we use the formula:

Q = mc(T1 - T2)

Where:

T1 = initial temperature

T2 =  final temperature .

c = specific heat capacity of the aluminum.

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Answer:

The correct options are A, B, C, and E!

Explanation:

I just got it right on edge.

Hope this helps - brainliest would be appreciated!

Have a great day everyone!

The nervous system in a woman can coordinate the reflex action due  skin receptors sense a stimulus, sensory neurons transmits the electrical impulses, motor neurons address it to the effect, and finally producing a response.

Reflex action can be defined as an involuntary response to different environmental conditions, which are collectively called stimuli. These conditions may lead to a change in the body temperature and they are useful to adapt to a changing environment, which is a fundamental issue in adaptive responses.

The nervous system may manage reflex actions in this system by using specific cell receptors located at the epidermis (skin cells).

Therefore, we can conclude that the reflex action is a coordinated response of the nervous system associated with the detection of environmental stimuli that lead to the activation of effector cells and sensory neurons.

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The tension in the string gets doubled when we double the mass of the cart as well as of the mass that hangs from the string.

We know, Newton's Second law states that the force applied to a body is directly proportional to the mass and the acceleration of the body, i.e.,

F = ma

where F is the force applied to the body or the tension in the cart, m is the mass of the body and a is the acceleration of the body.

Since, the mass of the cart is doubled, the tension on the string becomes:

[tex]F_{2}[/tex] = (2m)a

[tex]F_{2}[/tex] = 2ma

[tex]F_{2}[/tex] = 2F

Therefore, the tension in the string also gets doubled.

Complete Question: students work together during an experiment about newton’s laws. the students use a setup that consists of a cart of known mass connected to one end of a string that is looped over a pulley of negligible friction, with its other end connected to a hanging mass. the cart is initially at rest on a horizontal surface and rolls without slipping when released. the inertia of the cart's wheels is negligible. students have access to common laboratory equipment to make measurements of components of the system. The students double the mass that hangs from the string. They also replace the original cart with a new cart that has double the mass. By doubling both masses, how will the tension in the string and the acceleration of the cart change?

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The data table supports that: Option B, "the force of gravity depends on the masses of the objects interacting." is the correct answer.

What is gravity?

Gravity, also sometimes called as gravitation, is the non-changing force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.

In the given data table, the distance is same in all five cases, but we can see that the force of gravity is increasing with increase in mass of any one of the object or both of them. We can also understand it as the force of gravity is increasing with the increase in combined mass of both objects.

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It is to be noted that the required flight visibility and distance from clouds, if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during daylight hours, is given as "3 statute miles 1,000 above 500 Below and 2,000 horizontal"

Flight visibility is the average forward horizontal distance from the cockpit of a flying aircraft at which conspicuous unlighted objects can be seen and identified during the day and significant lighted objects can be seen and identified during the night.

Visibility requirements are the minimal visibility for flying.

According to Aviation Rules,

(a) No individual may fly an aircraft under VFR in restricted airspace when the ceiling is less than 1,000 feet unless flight vision is at least 2 miles, according to aviation rules.

(b) No person shall operate a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a designated Class B, C, D, or E airspace surface area of ​​an aerodrome unless there is clear visibility. is at least -

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It should be noted that after the big bang occurred, the universe "Became Denser" (Option B)

According to the Big Bang Theory, after the explosion which triggered the transformation of radiation into matter, gravity pulled dark matter together which in turn attracted normal matter.

Hence, it is right given the above analogy that the Universe became denser.

It should be mentioned that the big-bang hypothesis is a widely accepted account of the universe's evolution. Its defining characteristic is the universe's birth from a condition of great heat and density—the so-called big bang, which occurred 13.8 billion years ago.

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The angle of banking does not affect  the maximum speed at which a car can safely negotiate a frictionless banked curve.

We know that when a car is trying to negotiate a curve, the car is undergoing a circular motion at the bend. The car is tending to move around the bend and then emerge at the other side. Sometimes the bend is made a bit or somewhat steeper at a give angle and this can help the cars to negotiate the ben successfully without skidding off the road.

We know that we can obtain the maximum velocity of the motion of the car as it negotiates the bend using thee formula;

v = √mgr/h

v = velocity

m = mass

g = acceleration due to gravity

r = radius

h = height

It the follows that the maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except  the angle of banking.

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Missing parts;

Complete the following statement: The maximum speed at which a car can safely negotiate a frictionless banked curve depends on all of the following except

A. the diameter of the curve.

B. the acceleration due to gravity.

C. the angle of banking.

D. the mass of the car.

E. the radius of the curve.

In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.

Force applied on launching model rockets is calculated by the formula,

F = m*a

where,

F is the force of engine

m is the mass

a is the acceleration

The given data are :

m = 5 Kg

a = 28.8 m/s²

F = ?

Now, putting the values in the formula we get,

F = 5 Kg x 28.8 m/s²

F = 144 N

So,  In designing a rocket to select an engine based on how much force it produces, the engine need to produce 144 N force.

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From the description, the  type of telescope was she most likely using is the radio telescope.

The telescope is the kind of device that could be used to find the and see the objects that are in the outer space. There are several kinds of telescopes such as;

The radio telescope is the kind of telescope that is able to convert the radio signals into a format that could be used study the parameters that concern the universe. The clarity of the telescope is most times dependent on the location of the person using the telescope.

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Missing parts;

Sarah just bought a telescope and is telling you all about what she saw last night, but she keeps mentioning that every object she pointed it towards seemed to have a fuzzy

glow. What type of telescope was she MOST likely using?

A. radio telescope

B. refracting telescope

C. compound telescope

D. reflecting telescope

Answer:

She is most likely using a refracting telescope.

Explanation:

These telescopes are easily accessible to the general public and are popular for new astronomers but may produce a fuzzy glow around objects they magnify.

Answer:Mars is about half the size of Earth by diameter and has a much thinner atmosphere, with an atmospheric volume less than 1% of Earth's. The atmospheric composition is also significantly different: primarily carbon dioxide-based, while Earth's is rich in nitrogen and oxygen.

Explanation:

Answer:The atmosphere of Mars is much thinner than Earth's. The average surface pressure is only about 610 pascals (0.088 psi) which is less than 1% of the Earth's value. The currently thin Martian atmosphere prohibits the existence of liquid water at the surface of Mars, but many studies suggest that the Martian atmosphere was much thicker in the past.

Explanation:

When comparing three different ways of having a ball move down through the same height each circumstance, the acceleration varies.

The Earth's mass is what generates gravity. Your body's mass is affected by the combined gravitational pull of all of its mass. That is what gives you authority. If you were on a planet with a lower mass than Earth, you would also weigh less than you do now.

Every object in the universe that has mass is drawn to every other object, regardless of their size or location. Gravity exists whether you are on the Moon, the Earth, or far out in space. Gravity does not require air or an atmosphere to operate.

The acceleration of a body brought on by the force of the earth's gravitational field is known as the acceleration due to gravity, or simply g. This force can be expressed mathematically as mg, where m is the body mass.

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The gravitational force between Earth and the moon  would decrease if them distance between them increased.

The gravitational force is focused at the system's barycenter rather than at the centers of either object when two objects are gravitationally linked together. It has a similar concept to a see-saw.

We are aware that the gravitational force's equation is F=GMm/r2.

Where M is the force of one object, m is the force of another object, r is the distance between them, and G is the gravitational constant.

As we can see, since F is inversely correlated to r, the gravitational force will grow as their separation widens.

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When an item sinks under force, its volume can be calculated. For this reason, the item is fastened to another readily sinkable object. Since the floating object will sink in the water, its volume may be determined.

One method to determine the volume of a floating object is to weigh it down using a heavy object. It's crucial to figure out the water's depth both with the heavy object submerged and with it pulling the floating object down into the water.

An object floats when the water's upward push balances the weight force acting on it. Untainted by water depth, the amount of the object immersed increases the water is probably upward push.

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