In which of these situations, is mechanical energy being conserved? (Neglect, air resistance, friction and breaking) Check all that apply.

Child on a swing


Pendulum


Bow and Arrow


Roller Coaster

Answers

Answer 1

Mechanical energy is conserved in all the four situations

Explanation:

The law of conservation of energy states that in absence of non-conservative forces (such as air resistance of friction), the mechanical energy of an object is conserved.

The mechanical energy of an object is the sum of its potential energy (PE) and its kinetic energy (KE):

E = PE + KE = const.

In all the situations described, there are no air resistance or friction acting on the system, therefore mechanical energy is conserved in all the four situations described.

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Related Questions

Consider a 2-kg bowling ball sits on top of a building that is 40 meters tall. It falls to the ground. Think about the amounts of potential and kinetic energy the bowling ball has:
• as sits on top of a building that is 40 meters tall.
• as it is half way through a fall off a building that is 40 meters tall and travelling 19.8 meters per second.
• as it is just about to hit the ground from a fall off a building that is 40 meters tall and traveling 28 meters per second.

1. Does the bowling ball have more potential energy or kinetic energy as it sit on top of the building? Why?
2. Does the bowling ball have more potential energy or kinetic energy as it is half way through its fall? Why?
3. Does the bowling ball have more potential energy or kinetic energy just before it hits the ground? Why?
4. What is the potential energy of the bowling ball as it sits on top of the building?
5. What is the potential energy of the ball as it is half way through the fall, 20 meters high?
6. What is the kinetic energy of the ball as it is half way through the fall?
7. What is the kinetic energy of the ball just before it hits the ground?

Answers

Answer:

number 1 is that the bowling ball has more gravitational potential energy as it sits on top of the building.

Answer:

#2 would be : The bowling ball now has more kinetic energy because it is moving and picking up speed. The potential energy has already been wasted because it has been used as the ball falls.

:)

Two birds collide in midair. Before the collision their combined momentum was 88kg•m/sto the west. What is their combined momentum after the collision

Answers

Answer:

88 kg•m/s to the west

Explanation:

Momentum is conserved, so momentum before collision = momentum after collision.

Answer:

88 kg•m/s to the west

Explanation:

aye pecks and so u guys feel more secure

You pull your t-shirt out of the washing machine and note that 2850 particles have become attached, each of which could be either an electron or a proton. Your t-shirt has a net charge of − 5.50 X 10 -18 C. How many electrons are attached to your t-shirt? Enter the number



Answers

The number of electrons attached to your t-shirt is 1442.

What is charge?

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively).

Unlike charges attract one another while like charges repel one another. Neutral refers to an object that carries no net charge.

Let the total number of electrons is = n.

Total number of proton is = 2850 - n.

Then, total charge on the t-shirt = ( n - (2850- n) ×(-1.6×10⁻¹⁹) C.

= (2n - 2850) ×(-1.6×10⁻¹⁹) C.

So,

(2n - 2850) ×(-1.6×10⁻¹⁹) C = − 5.50×10⁻¹⁸

(2n - 2850) = 34

2n = 2884

n = 1442

Hence, The number of electrons attached to your t-shirt is 1442.

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Final answer:

The number of electrons attached to your t-shirt is 34.

Explanation:

To determine the number of electrons attached to your t-shirt, we need to consider the net charge of the t-shirt and the charge of an electron. The net charge of your t-shirt is −5.50 × 10-18 C. The charge on an electron is -1.6022 × 10-19 C. To find the number of electrons, we divide the net charge of the t-shirt by the charge per electron:

Number of electrons = Net charge / Charge per electron

Number of electrons = -5.50 × 10-18 C / -1.6022 × 10-19 C = 34.28

Since we cannot have a fraction of an electron, the number of electrons attached to your t-shirt is 34.

An iceberg at its melting point
(0°C) absorbs 2.40*10^7 J of heat
from the sun. What mass of ice
melts to 0°C water as a result?
(Unit = kg)​

Answers

The mass of the iceberg is 71.9 kg

Explanation:

The amount of thermal energy needed to completely melt a substance at its melting point is given by

[tex]Q=\lambda m[/tex]

where

[tex]\lambda[/tex] is the latent heat of fusion

m is the mass of the substance

In this problem, we have a block of ice at its melting point (zero degrees). The amount of heat given to the block is

[tex]Q=2.40\cdot 10^7 J[/tex]

And the latent heat of fusion of ice is

[tex]\lambda = 334 J/g[/tex]

So, we can re-arrange the equation to find m, the amount of ice that will melt:

[tex]m=\frac{Q}{\lambda}=\frac{2.40\cdot 10^7}{334}=71856 g = 71.9 kg[/tex]

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Select the correct comparison between science and technology.
A. Science influences technology, but technology does not influence science.
B. Science does not influence technology, but technology influences science.
C.Science and technology both influence each other
D. There is no relationship between science and technology.

Answers

Answer:

c

Explanation:

Science influences society through its knowledge and world view. ... Technology influences society through its products and processes

Answer: c

Explanation:

A car is traveling at an initial velocity of 23m/s. It begins to accelerate at a rate of 3.5 m/s' for
8.0 seconds. How far did it travel during this time and what is the final velocity of the car 8.0 seconds
later?

Answers

Answer: vf = 51 m/s and d= 112 m

Explanation: Solution attached.

Forces that are equal in magnitude but opposite in direction are

A. universal forces.
B.unbalanced forces.
C.unstoppable forces.
D.balanced forces.

Answers

Forces that are equal in magnitude but opposite in direction is

B. unbalanced forces.

Answer:

unstoppable forces

hope this helps u

Explanation:

You hang a tv on your wall. What kind of energy does it have?

Kinetic energy
Potential energy

Answers

Answer:

potential, not moving

Explanation:

A TV hung on a wall has potential energy due to its elevated position, which could be converted to kinetic energy if it falls.

When you hang a TV on your wall, it possesses potential energy because of its position above the ground. Potential energy is the stored energy an object has as a result of its position relative to other objects; in this case, the Earth's surface.

If the TV were to fall, the potential energy would be transformed into kinetic energy, energy due to the motion of the object, as it accelerates towards the ground until it impacts the floor, at which point that kinetic energy would then be transferred to the ground and to the TV in the form of other energy forms such as sound and heat.

if an object was dropped from an airplane and took 14.2s to fall to the earth , what was the height of the plane

Answers

Answer:

1008.2m

Explanation:

H = 1/2gt^2

g is acceleration due to gravity 10m/s^2

= 1/2 x 10 (14.2)^2

= 1/2 x 10 x 201.64

= 1008.2m

Carmen and Judi dock a canoe. 80.0-kg Carmen moves forward at 4.0 m/s as she leaves the canoe. At
what speed and in what direction do the canoe and Judi move if their combined mass is 115 kg.

Answers

Answer:

They move at 2.8 m/s and in the opposite direction.

Explanation:

Final answer:

The question addresses the conservation of momentum in physics, specifically involving a scenario where Carmen leaves a canoe causing it and Judi to move in the opposite direction. By applying the principle and given masses and speeds, the speed and direction of the canoe and Judi can be calculated.

Explanation:

The question involves the principle of conservation of momentum, which states that the total momentum of a closed system remains constant if no external forces are applied. The situation describes Carmen leaving a canoe at a certain speed and seeking to find out the speed at which the canoe and Judi will move after Carmen has exited.

To solve this, we can set the initial momentum of the system to be equal to the final momentum. Since the canoe and its occupants are initially at rest, their combined initial momentum is zero. When Carmen exits the canoe, her momentum must be balanced by the momentum of the canoe and Judi moving in the opposite direction.

We can express this using the formula:

Momentum of Carmen = - (Momentum of canoe and Judi)

(Carmen's mass) × (Carmen's velocity) = - ((Canoe and Judi's combined mass) × (Their velocity))

Using the given values: (80.0 kg) × (4.0 m/s) = - ((115 kg) × (velocity of canoe and Judi))

The resulting velocity of the canoe and Judi can be found by dividing the momentum of Carmen by the combined mass of Judi and the canoe. This will give the speed of the canoe and Judi moving in the opposite direction to Carmen's original movement.

An object is dropped from a bridge. It is recorded to take 3.4 seconds to reach the ground. How high is the bridge? Assume the acceleration of gravity is 10m/sec2

Answers

Answer:

The height of bridge is [tex]17\ m[/tex]

Explanation:

Given the time taken to reach the ground is [tex]3.4\ second[/tex]

And acceleration of gravity [tex]10\ m/s^2[/tex]

Also the initial velocity of the object [tex]u=0\ m/s[/tex]

The object is falling under the condition of free fall.

So, we can use the following formula for computing the distance when the object is under free fall.

Where [tex]S[/tex] is the height, [tex]t[/tex] is time of fall, and [tex]g[/tex] is acceleration of gravity.

[tex]S=\frac{gt^2}{2}\\\\S=\frac{10\times3.4}{2}\\S=17\ m[/tex]

The height of the bridge is calculated to be 57.8 meters considering the object takes 3.4 seconds to reach the ground when dropped from rest.

To calculate the height of the bridge from which an object is dropped and takes 3.4 seconds to reach the ground, we can use the formula for the distance covered under acceleration due to gravity:

[tex]s = ut + \frac{1}{2} at^2[/tex]

where:
s = distance (height of the bridge in this case)
u = initial velocity (0 m/s, since the object is dropped)
a = acceleration due to gravity (10 m/s^2)
t = time taken to reach the ground (3.4 seconds)

Now, substituting the known values:


s = 5 * 11.56
s = 57.8 meters

Therefore, the height of the bridge is 57.8 meters.

Two ladybugs are trapped in the front tire of Andy’s bicycle. He does not want to
hurt the ladybugs so he cannot go too fast as that would subject them to a high centripidal
acceleration. He remembers from biology class that ladybugs can withstand an acceleration of
a = 5g. If the radius of the bicycle tire is 0.37 m what is maximum velocity of the outer rim of
the tire and therefore the maximum velocity at which Andy can travel?

Answers

Answer:

as fast as he wants, ladybugs are useless

Final answer:

To ensure the ladybugs' safety, the maximum velocity of a bicycle's tire can be calculated using the formula for centripetal acceleration a = v^2/r. With an allowable acceleration of 5g and a tire radius of 0.37 m, the maximum velocity is found to be approximately 4.26 m/s.

Explanation:

The ladybugs can withstand an acceleration up to 5g, where g is the acceleration due to gravity (9.81 m/s2). The formula for determining the centripetal acceleration a is a = v2/r, where v is the velocity, and r is the radius of the circular path. To ensure the ladybugs are safe, we use the equation a = v2/r and set a equal to 5g to find the maximum velocity. Substituting the given values, a = 5 * 9.81 m/s2 and r = 0.37 m, we get:

v2 = a * r
v2 = 5 * 9.81 * 0.37
v2 = 18.1525 m2/s2
v = √(18.1525 m2/s2)
v = 4.26 m/s

Therefore, the maximum velocity the outer rim of the tire can have and therefore the maximum speed Andy can travel is approximately 4.26 m/s.

Does velocity of a wave in a medium changes with the wavelength?

Answers

The velocity of a wave in a medium changes with the wavelength

Explanation:

Wave

It is the periodic disturbance in a medium.

Types of Wave

There are two types of wave in general depending upon their propagation through a substance.

• Mechanical  

• Electromagnetic  

Mechanical Wave

It is the kind of wave which needs medium to travel.

For example: Sound Wave  

Electromagnetic Wave

Is that which can travel through medium as well as through vacuum. For example: Light

Characteristics of Wave

There are certain characteristics that each sound possesses. Let’s see.  

 Oscillation: It is the complete movement of particle about its mean position.

Amplitude: Is the maximum displacement of particle from its mean position in either direction (cm).It is denoted by ‘A’.

Frequency: It is the number of sound waves produced per second (Hertz).It is denoted by υ(nu)

Time Period: The time taken to complete one oscillation (sec).It is denoted by ‘T’.

Wavelength: The distance between two consecutive crest or trough (cm).It is denoted by λ(lambda).

Velocity of Wave: The speed with which sound travel (m/sec).It is denoted by ‘v’.

Relation between time period, frequency and velocity of wave  

We have: frequency =velocity /wavelength  

                υ=c/λ

Velocity of wave depends upon :

frequency of wave

Wavelength of wave

Therefore , with change in wavelength , the velocity of a wave in medium changes .

How big is the moon?

Answers

Answer:

1,079.4 mi

Explanation:

I searched it up. -w-"

Lol

Final answer:

The Moon has a diameter of 3476 kilometers, about a quarter of Earth's, and is roughly 384,000 kilometers away from Earth. In a scaled model, Earth is like a grape and the Moon is a pea over a foot away, fitting into a backpack. Both the Sun and Moon appear similarly sized in the sky from Earth.

Explanation:

The Moon's diameter is approximately 3476 kilometers, which is about one fourth the size of the Earth. On average, the Moon is situated roughly 384,000 kilometers away from Earth, which is about 30 Earth's diameters. If we were to imagine a scale model of our celestial neighborhood, where we reduced every dimension by a factor of one billion, Earth would be the size of a grape (approximately 1.3 centimeters in diameter), while the Moon would be a tiny pea, orbiting at a distance of 40 centimeters, just over a foot away. This scaled-down Earth-Moon system could comfortably fit inside a standard backpack, providing a tangible representation of their proportions and distances relative to each other.

It is an interesting coincidence that, from our perspective on Earth, the Sun and Moon appear to be roughly the same size in the sky. This is because although the Sun's diameter is about 400 times greater than that of the Moon, it is also approximately 400 times farther from Earth. Consequently, both have an angular size of about 1/2 degree, leading to phenomena like solar eclipses, where the Moon can completely cover the Sun.

I need to find the current resistance and voltage for each in this complicated circuit plz help

Answers

Explanation:

The 11Ω, 22Ω, and 33Ω resistors are in parallel.  That combination is in series with the 4Ω and 10Ω resistors.

The net resistance is:

R = 4Ω + 10Ω + 1/(1/11Ω + 1/22Ω + 1/33Ω)

R = 20Ω

Using Ohm's law, we can find the current going through the 4Ω and 10Ω resistors:

V = IR

120 V = I (20Ω)

I = 6 A

So the voltage drops are:

V = (4Ω) (6A) = 24 V

V = (10Ω) (6A) = 60 V

That means the voltage drop across the 11Ω, 22Ω, and 33Ω resistors is:

V = 120 V − 24 V − 60 V

V = 36 V

So the currents are:

I = 36 V / 11 Ω = 3.27 A

I = 36 V / 22 Ω = 1.64 A

I = 36 V / 33 Ω = 1.09 A

If we wanted to, we could also show this using Kirchhoff's laws.

(02.04 LC)Which of the following is a full body exercise?
answer choices:
A. Burbees
B. Crunches
C.Lunges
D. Presses

Answers

Answer:

A. Burpees

Explanation:

Burpees or squat thrusts are exercises that involve a series of six steps which engage multiple and major muscles of the body, and are therefore known as a a full body exercise. Burpees are a form of strength-training exercise that utilities the body's weight to perform it.

Here are the steps involved in performing one repetition of a burpee:

1. Stand up straight with your feet shoulder-width apart

2. Get into with a squat position, and place your hands on the ground in front of you

3. Kick your feet back to get into a plank position

4.  Touch your chest to the ground

5. Immediately, get back into with a squat position, placing your hands on the ground in front of you

6. Quickly stand and end with a jump.

Options B, C and D are in correct as they do not engage the full body, they only engage the leg muscles and glutes (lunges), the abdominal muscles (crunches) and arm and shoulder muscles (presses).

Answer:

Burbees

Explanation:

Ship 1 has 4 times the mass of ship 2. They both have equal kinetic energy. How much faster( by what factor) is ship 2 moving?

Answers

2

Explanation:

Let us assume the mass of ship 2 = K

Mass of ship 1 = 4K

Condition:

Both ships have the same mass

The kinetic energy of a body is the energy due to the motion of it.

It is expressed as:

  K.E = [tex]\frac{1}{2} m v^{2}[/tex]

m is the mass of the ship

v is the velocity;

Since both ships have equal velocity;

 

                K.E of ship 1 = K.E of ship 2

  \frac{1}{2}  m v^{2}  of ship 1 =   \frac{1}{2}  m v^{2} of ship 2

    multiply through by 2;

     [tex]m_{1} v_{1} ^{2} = m_{2} v_{2} ^{2}[/tex]

    4k x [tex]v_{1} ^{2}[/tex] = k x [tex]v_{2}^{2}[/tex]

     

       dividing by k;

   4 v_{1} ^{2} = v_{2}^{2}

taking square root of both sides

   V₂ = 2V₁

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Ann and Beth are measuring mass of an object, Ann reports a mass of 6 g while Beth obtains 6.0 g what are the range of uncertainties of these values?

Answers

Answer:

Ann: 5.5 to 6.4 g; Beth: 5.95 to 6.04 g

Explanation:

Final answer:

Ann and Beth's reported mass measurements imply different uncertainty ranges based on the number of significant figures. Ann's 6 g measurement suggests an uncertainty of up to ±0.5 g, while Beth's more precise 6.0 g measurement has an uncertainty of ±0.05 g.

Explanation:

The uncertainty in the mass measurements reported as 6 g and 6.0 g by Ann and Beth, respectively, can be understood by looking at the reported significant figures. The measurement 6 g suggests the uncertainty could be up to 0.5 g, as it does not have any decimal places indicating precision. Conversely, the measurement 6.0 g is precise to the tenth of a gram, implying an uncertainty of ±0.05 g.

Ann's measurement of 6 g can be considered accurate within an uncertainty range from 5.5 g to 6.5 g. Beth's measurement of 6.0 g, with one decimal place, indicates a narrower uncertainty range from 5.95 g to 6.05 g. This exemplifies how significant figures imply a measurement's precision and its associated uncertainty.

how many miles is in 7 blocks?

Answers

Answer:

Different street blocks are different lengths, so it won't be possible to answer this.

Two boys push on a box with 3 N and 6 N to the
right. The net force is 7 N. Find the force of friction.

Answers

2N to the left

Explanation:

Given parameters:

Force of both boys = 3N + 6N = 9N

Net force = 7N

Unknown:

Frictional force = ?

Solution:

A body will remain in constant motion or a state of rest unless acted upon by an external force.

The net force is force that causes the motion of a body in the horizontal direction.

 Net force = Force applied - Frictional force

frictional force always acts to impede the motion of a body.

    input the values

    7 = 9 - frictional force

    -frictional force = 7-9

     frictional force =  2N

Since frictional force opposes motion, it is directed to the left.

Without the force of friction that tends to impede motion, the net force and applied motion should be the same.

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A construction worker uses an electrical device to attract fallen nails and sharp objects from a construction site. What is causing the attraction of the metal objects?

An electrical wave oscillating perpendicular to the electrical device.
An electrical charge radiating perpendicular to the wire
A magnetic wave radiating perpendicular to an electrical device
A magnetic wave and electrical current moving in opposite directions

Answers

A magnetic wave radiating perpendicular to an electrical device which causes the attraction of the metal objects. Therefore, the correct option is C.

A power tool used by a construction worker probably uses an electromagnet, which produces a magnetic field when an electric current flows through it. Metal objects, including nails and other sharp objects, from the construction site are drawn by this magnetic field. Metal objects are attracted to the device as a result of the interaction of the magnetic field with their magnetic characteristics.

Therefore, the correct option is C.

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Final answer:

The attraction of metal objects by an electrical device at a construction site is caused by a magnetic field created by electromagnets, which use electric current to generate magnetic fields capable of attracting ferromagnetic materials.

Explanation:

The attraction of metal objects, like fallen nails and sharp objects, at a construction site by an electrical device is caused by the creation of a magnetic field through the use of electric current. This process involves electromagnets, which are devices that use electric current to generate magnetic fields, and can attract or repel other metallic objects based on the principles of electromagnetism.

Electromagnetic waves are produced by accelerating charges, such as those in an alternating current. However, in the context of attracting metal objects, what we are observing is not the propagation of electromagnetic waves as a form of radiation, but rather the direct magnetic effect of electric currents flowing through wires or coils. When an electric current runs through a coil, the resulting magnetic field is capable of attracting ferromagnetic materials like iron, commonly found in nails and other construction material.

The correct explanation for the attraction of metal objects with an electrical device in a construction site is the magnetic field generated by an electric current, as described by the discovery of Hans Christian Oersted. His observation that a compass needle was deflected by a current-carrying wire led to the concept of electromagnetism and the use of electromagnets.

"Your friend has a job as a pizza delivery person. She carries a few pizzas, weighing 20 N, up four flights of stairs , a height of 30 m. How much work does she do?" If you could explain how to do this that would be great!

Answers

Answer:

600J

Explanation:

work done=newtons×distance

Matching:
The west wind drift circles the globe,near Antarctica I impeded it is the only ocean current that is a...

A. Warm water current
B. Cold water current
C. Circumpolar

Answers

C. Circumpolar

Explanation:

Antarctic  circumpolar current (ACC) is an ocean current that flows from west to east around Antarctica, estimated to be over 100 times larger than the waters flowing in the world's rivers.It connects waters of the atlantic, indian and pacific oceans. The current flow is more is several circular fronts extending from the surface of the sea to the sea floor. It transports and store heat a characteristics that majorly influence both world and regional climate.

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Calculate your average walking speed when you step 0.80m in o.50s

Answers

Answer: 1.6 m/s

Explanation: Avg.Speed = total Distance/ Total time

Avg Speed = 0.80 / 0.50

. = 1.6 m/s

If you want to go to a community college and transfer to a four-year university, what classes are required to transfer? How many units are required to transfer?

Answers

Typically, most four-year institutions will require the following classes to transfer:

2 English composition courses.

1 Speech course.

1 Critical thinking course.

1 Physical science class.

1 Biological science class.

1 Health class.

2 Physical education courses.

Completion of college algebra

That's all I think

Final answer:

To transfer from a community college to a four-year university, students typically need to complete general education courses and any pre-major or major-specific courses required for their intended degree. The number of units required to transfer generally ranges from 60 to 70 semester units. Consulting with academic advisors and reviewing articulation agreements ensures a smooth transfer process.

Explanation:

If you are planning to transfer from a community college to a four-year university, the specific classes required for transfer can vary based on the university and your chosen major. Generally, you will need to complete a core curriculum that includes general education courses, such as English, mathematics, science, social science, and humanities. In addition to these general requirements, it's important to be aware of any pre-major or major-specific courses needed for your intended four-year degree program.

The number of units required to transfer typically ranges from 60 to 70 semester units, which is equivalent to about two years of full-time study. This allows students to achieve junior standing at the university upon transfer. However, some programs have more stringent requirements, including additional prerequisites or higher GPA standards.

It is crucial to consult with an academic advisor at the community college and to review the transfer agreements in place with the four-year universities you are interested in. These transfer agreements, sometimes called articulation agreements, provide detailed guidance on which courses will fulfill requirements at the university level and help ensure a smooth transition.

What projection angle produces the longest distance?​

Answers

Answer:

The sine function reaches its largest output value.

Explanation:1 with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

What are the 3 properties of magnetics

Answers

Answer:

they point north and south directionwhen suspende freely

the poles exist in pairs

they attract magnetic substance

In the nucleus of an atom, two protons are separated by a distance of 10^-13 m. What is the Coloumb force between them? The charge of a proton is + 1.602 x 10^-19 C.

Answers

Answer:

[tex]F=0.0231\ N[/tex]

Explanation:

Electrostatic Force

When two point charges [tex]q_1[/tex] and [tex]q_2[/tex] are placed at a distance d, they exert a force to each other whose magnitude can be computed by the Coulomb's formula

[tex]\displaystyle F=\frac{k\ q_1\ q_2}{d^2}[/tex]

Where k is the constant of proportionality

[tex]k=9.10^9\ Nw.m^2/c^2[/tex]

The information provided is

[tex]d=10^{-13}\ m[/tex]

[tex]q_1=q_2=+ 1.602 x 10^{-19}\ C[/tex]

Computing the Coloumb force between them

[tex]\displaystyle F=\frac{9x10^9\ 1.602 x 10^{-19} \ 1.602 x 10^{-19} }{(10^{-13})^2}[/tex]

[tex]\boxed{F=0.0231\ N}[/tex]

A bird flying at 8 km/h in a 6-km/h crosswind has a resultant speed of

Answers


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Final answer:

The resultant speed of the bird flying at 8 km/h in a 6-km/h crosswind is 10 km/h.

Explanation:

when an object moves against a crosswind, its resultant speed is the vector sum of its actual speed and the velocity of the crosswind. In this case, the bird is flying at 8 km/h while facing a 6 km/h crosswind. To find the resultant speed, we need to use vector addition.

We can represent the bird's speed as a vector going in the direction of its movement, and the crosswind's speed as a vector perpendicular to the bird's path. Using the Pythagorean theorem, we can determine the resultant speed:

Resultant speed = sqrt((speed of bird)^2 + (speed of crosswind)^2)

Resultant speed = sqrt((8 km/h)^2 + (6 km/h)^2)

Resultant speed = sqrt(64 km/h^2 + 36 km/h^2)

Resultant speed = sqrt(100 km/h^2)

Resultant speed = 10 km/h

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how long would it take a 3.4 kg bike with 79 kg rider traveling at 18.6 m/s to stop if 867 N of force is applied to the brakes?

Answers

Answer: 1.76 s

Explanation:

We have the following data:

[tex]m=3.4 kg+79 kg=82.4 kg[/tex] is the total mass of the bike and the rider

[tex]V_{o}=18.6 m/s[/tex] is the initial velocity

[tex]F=867 N[/tex] is the force applied to the brakes

Firstly, we will find the acceleration [tex]a[/tex] with the following equation:

[tex]F=m.a[/tex] (1)

Isolating [tex]a[/tex]:

[tex]a=\frac{F}{m}[/tex] (2)

[tex]a=\frac{867 N}{82.4 kg}[/tex] (3)

[tex]a=10.52 m/s^{2}[/tex] (4) This is the magnitude of the acceleration, however, since the final velocity is 0 m/s, this means the direction is negative

Hence:

[tex]a=-10.52 m/s^{2}[/tex] (5)

On the other hand, with the following equation we can find the time [tex]t[/tex]:

[tex]V=V_{o}+at[/tex] (6)

Where:

[tex]V=0 m/s[/tex] is the final velocity (the bike stops)

Isolating [tex]t[/tex]:

[tex]t=-\frac{V_{o}}{a}[/tex] (7)

[tex]t=-\frac{18.6 m/s}{-10.52 m/s^{2}}[/tex] (8)

Finally:

[tex]t=1.76 s[/tex] This iste time it takes to the bike to stop

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