2

10 points

Find the total displacement of each of the motions.

a) You walk 45 m W, then 34 mW

b) You drive 5 km N, then 7 km S

c) You cycle 350 m E, then 800 m W, then 200 m E

d) You fly 850 km N then 850 km S

The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

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:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ1

Heat transfer by radiation is faster than heat transfer by conduction because radiation can occur through a vacuum, while conduction requires the presence of a medium, such as a solid, liquid, or gas. Radiation is the transfer of energy through electromagnetic waves and does not require any medium to propagate, which means that radiation can occur even in a vacuum or through transparent materials.

On the other hand, conduction requires particles to transfer heat energy from one object to another. In a solid, this occurs through the transfer of kinetic energy from one molecule to another through direct contact, while in a liquid or gas, conduction occurs through collisions between molecules. This process of molecule-to-molecule transfer of heat energy is much slower than radiation and is limited by the physical properties of the medium, such as its thermal conductivity.

Therefore, heat transfer by radiation is faster than heat transfer by conduction because radiation can occur through a vacuum, and is not limited by the physical properties of a medium, while conduction is limited by the thermal conductivity of the medium and requires direct contact between molecules.

Answer:

the awnser is A

Explanation:

Brainliest Please

Answer:

A

Explanation

Within a cloud, water droplets condense onto one another so its causing so its causing the droplets to grow when they have grown to heavy the fall causing rain.

a) 12.1 Average.

B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.

A) Determine the average length and express the answer using the correct number of significant figures:

12.2+12.1+12=36.3/3 = 12.1 Average.

B)  Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:

It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.

To learn more about Average, refer to:

https://brainly.com/question/1136789

#SPJ9

a) The capacitance of the ceramic capacitor is approximately 354.16 pF.

b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

To calculate the capacitance of the ceramic capacitor, we can use the formula:

C = (ε₀ * εᵣ * A) / d

where:

C is the capacitance,

ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),

εᵣ is the relative permittivity of the ceramic (given as 100),

A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),

d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).

Let's calculate the capacitance in picofarads (pF):

a) Calculation of capacitance (C):

C = (ε₀ * εᵣ * A) / d

= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)

= (8.854 x 100 x 4) / 0.1

= 354.16 pF

Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.

b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:

PD = Q / C

where:

PD is the potential difference,

Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),

C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).

Let's calculate the potential difference (PD):

b) Calculation of potential difference (PD):

PD = Q / C

= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)

= 3.39 x 10^6 V

Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.

For more such questions on Potential difference

https://brainly.com/question/24142403

#SPJ11

The highest point of a roller coaster is almost always the first hill. In the majority of roller coasters, the hills get smaller as the train travels down the track.

To find the answer, we have to know more about the mechanical energy of a system.

                  Mechanical energy = U = mgh

Where m represents the car mass, g represents gravity, and h represents height

Finally, by applying the principle of energy conservation, we may determine that, the initial hill must be the highest.

Learn more about the mechanical energy here:

https://brainly.com/question/1674514

#SPJ1

Answer:

W = 181.26 J

Explanation:

Given that,

The force acting on the cart, F = 20 N

It is at an angle of 25 degrees above the horizontal to  move a crate a distance of 10m across the floor.

We need to find work done by the student. The work done by the student is given by :

\(W=Fd\cos\theta\\\\W=20\times 10\times \cos25\\W=181.26\ J\)

So, the required work done is 181.26 J.

Answer:

105.62°F

Explanation:

When the body temperature having fever is measured to be 40.9 on a scale then it must be a Celsius scale thermometer because 37°C is the normal temperature of a healthy human. In case of fever the given temperature is measured on a standard Celsius scale.

The relation between Fahrenheit and Celsius scale is:

\(\frac{C}{5}=\frac{F-32}{9}\)

\(F=\frac{9C}{5} +32\)

\(F=105.62^{o}F\)

It is a high fever and an immediate medical help must be taken.

Calculating the mass of the block requires a bit of work. The formula for the volume of a rectangular solid is V = l*w*h, where V is the volume, l is the length, w is the width, and h is the height. Using the dimensions given, we can calculate the volume of the block as 30*80*60 = 144000 cubic centimeters.

The density of lead is approximately 11.34 grams per cubic centimeter. To calculate the mass of the block, we can use the formula m = V*d, where m is the mass, V is the volume, and d is the density. Plugging in the values we get m = 144000*11.34 = 1,634,400 grams or approximately 1.63 metric tons.

So, the mass of the block of lead is approximately 1.63 metric tons.

Assuming the Earth has a uniform density, we can estimate the thickness of the Earth's crust as the difference between the radius of the Earth and the radius of the Earth's core.

The radius of the Earth is approximately 6,371 kilometers, and the radius of the Earth's core is approximately 3,486 kilometers (source: USGS). Therefore, the thickness of the Earth's crust is:

thickness of Earth's crust = radius of Earth - radius of Earth's core

= 6,371 km - 3,486 km

= 2,885 km

To determine how long it will take to pass through the Earth's crust, we need to calculate the speed at which you are traveling. We know that the journey from the surface to the center of the Earth takes 10 hours at a constant speed, so we can calculate the speed as:

speed = distance / time

= radius of Earth / time taken to travel from surface to center

= 6,371 km / 10 hours

= 637.1 km/h

Now that we know the speed at which you are traveling, we can calculate how long it will take you to pass through the Earth's crust. The distance you need to travel through the crust is the thickness of the crust, which is 2,885 kilometers. Therefore, the time it will take you to pass through the Earth's crust is:

time = distance / speed

= 2,885 km / 637.1 km/h

= 4.53 hours

So, it will take you approximately 4.53 hours to pass through the Earth's crust on your journey to the center of the Earth, assuming a constant speed and uniform density of the Earth. However, it is important to note that this is a rough estimate, as the density of the Earth is not uniform, and there may be other factors that could affect the speed of your journey.

Learn more about time to cross the earth's crust:

https://brainly.com/question/7698722

#SPJ4

A Stone Is Dropped Into a Deep Water Well. The Sound of The Stone Hitting The Water Is Heard After 3.4 Seconds. then The Depth of The Water Well is 56.6 m.

In terms of physics, sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the receipt of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between about 20 Hz and 20 kHz, or the audio frequency range, may cause a human to have an auditory sensation. These correspond to sound waves in air with an atmospheric pressure of 17 metres (56 ft) to 1.7 centimetres (0.67 in) in wavelength. Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges. Acceleration of the stone is 9.8 m/s²

according to kinematics,

s = ut + 1/2 at²

s =  1/2 ×9.8×3.4²

s = 56.6 m

To know more about Sound :

https://brainly.com/question/29707602

#SPJ1.

The relative speed you would need to be approaching the vehicle at in order for this sticker to appear blue is 97,800 km/s.

The relative speed you will need to approach the car to observe blue color is determined by applying relativistic Doppler shift.

c = fλ

where;

\(v = c[\frac{(\lambda_0/\lambda)^2 - 1}{(\lambda_0/\lambda)^2 + 1} ]\\\\v = c[\frac{(660/470)^2 - 1}{(660/470)^2 + 1} ]\\\\v = c[\frac{0.97}{2.97} ]\\\\v = 0.326 c\\\\v = 0.326 \times 3\times 10^8\\\\v = 9.78 \times 10^7 \ m/s\\\\v = 97,800\ km/s\)

Thus, the relative speed you would need to be approaching the vehicle at in order for this sticker to appear blue is 97,800 km/s.

Learn more about Doppler shift here: https://brainly.com/question/4052291

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

To know more about organelles, visit:

https://brainly.com/question/2135497

#SPJ1

Answer:

2.45 m/s

Explanation:

kinetic energy = 1/2 * m * v^2

then, 0.5 * 2500 * x^2 = 0.5 * 67 * 15^2

by solving for x, X = 2.45 m/s

The racer which accelerates at 50.0 m/s2 for 5 seconds then brakes at 60.0 m/s2 to a complete stop has an acceleration of  2 m/s^2, travels a distance of  100m in 5 seconds.

What is acceleration  ?

Acceleration is the measure of a change in velocity. Acceleration frequently, but not always, denotes a shift in speed. The direction of motion is changing, therefore an object travelling at a constant speed along a circular path is still going ahead.

Given:

Acceleration, a=?

Time, t =  5 seconds

Final velocity, v= 60.0 m/s2

Initial velocity, u=  50.0 m/s2

Therefore putting the formula,

v = u + at

=> 60 = 50 +5.a

therefore, a = 2 m/s^2

Therefore distance can be found by the formula,

x = u + 1/2 at^2

Where x is the distance.

=> x = 50 + 2 . 5^2

x = 100m

To learn more about acceleration   click on the link below:

https://brainly.com/question/10307723

#SPJ9

Answer:

10.2

the average speed of the runner is 10.2m/s.

Answer:

Blank 1: Gasses

Blank 2: More

Blank 3: Solids

Blank 4: Fluids

Blank 5: Liquid

Blank 6: Gas

Blank 7: Higher

Blank 8: Lower

Blank 9: Sun

Blank 10: Radiation

Blank 11: Conductors

P.S. order of answers does not matter between Blank 5 and 6.

Answer: The world population increased from 1 billion in 1800 to around 8 billion today. The world population growth rate declined from around 2% per year 50

Explanation:

The graph that shows the relationship between the speed and the kinetic energy is option B.

Recall that the kinetic energy is referred to as the speed that a body possess by virtue of its motion. Thus an object that is in motion is said to posses the kinetic energy.  The kinetic energy is the energy of an object that has a velocity

The kinetic energy is linearly related to the speed of the object. This implies that the speed is directly proportional to the kinetic energy of the object. If there is a direct relationship, it the follows that the graph of the speed against the kinetic energy of the object ought to be a straight line graph.

As such, the relationship between the kinetic energy and the speed of the object can be seen from the image in option B.

Learn more about kinetic energy:https://brainly.com/question/12669551

#SPJ1

Explanation:

answers in the image those are all the ways to demagnetize a magnet

Answer:

a) because this is in series, we have:

the total resistance is 3 + 1 = 4 (ohm)

b) the curren in the circuit is 12/4 = 3 (A)

c) the voltage in R = 3 ohm is 3.3 = 9 (V)

the voltage in R = 1 ohm is 12 - 9 = 3 (V)

Answer:

You need the definition of acceleration (a=Vf-Vi/t) and 1 equation of linear motion (deltaX = Vi×t + 1/2×a×t^2). Since you know a is constant (gravity) and you know your initial Vi to be 40 m/s and your final velocity Vf to be zero (maximum height), then you can use thhe definition of acceleration to find time.

-9.81m/s^2 = (0-40m/s)/t

t = (-40)/(-9.81) s

t = 4.077s

Now that you have time, you should know all but deltaX in the equation of linear motion.

dX = (40m/s)(4.077s) + (1/2)(-9.81m/s^2)(4.077s)^2

dX = (163.099m) — (81.549m)

dX = 81.55m

The buoyant force exerted by the water on the cylinder is 0.2 N.

To find the buoyancy force exerted by water on the cylinder, we need to understand the concept of buoyancy and Archimedes' principle.

Archimedes' principle states that the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. The buoyant force opposes the weight of the object and is responsible for the apparent loss of weight when an object is submerged in a fluid.

In this experiment, the weight of the cylinder (Wac) is 4 N. When the cylinder is immersed in water, the apparent weight of the cylinder (Wap) is 3.8 N. The difference between these two weights is the buoyant force exerted by the water on the cylinder.

Buoyant force (B) = Wac - Wap

B = 4 N - 3.8 N

B = 0.2 N

Therefore, the buoyant force exerted by the water on the cylinder is 0.2 N.

This means that the upward force exerted by the water on the cylinder is 0.2 N, opposing the downward force of gravity. The buoyant force depends on the volume of the fluid displaced by the object. In this case, the weight of the displaced water is equal to the buoyant force, as stated by Archimedes' principle.

For more such questions on buoyant force visit:

https://brainly.com/question/28464280

#SPJ11

The kinetic energy of the brick equal the elastic potential energy at the top of the hill. Using this, the speed of the brick is 14 m/s.

The elastic potential of a spring is directly proportional to the squire of the displacement.

Then,

p = 1/2 k x²

Given that, spring constant k = 500 N/m

height of the hill x = 2 m

weight of the load = 100 N

then mass = 100N/9.8 m/s² =10.20 Kg.

At the top of the hill, kinetic energy of the hill is equal to the elastic potential.

then, 1/2 mv² =  1/2 k x²

speed v of the brick  = √kx²/m

v = √(500 N/m × 2 m²/10.20 kg)

  = 14 m/s.

Therefore, the speed of the brick at the top of the hill is 14 m/s.

Find more on elastic potential :

https://brainly.com/question/12807194

#SPJ1

Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.

There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;

The surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.

The heat from the air is transferred to the pool through convection.

Thus, these two heat transfer processes  causes the surface water of the pool to be warm which decreases with depth.

Learn more about heat transfer here: https://brainly.com/question/16055406

#SPJ1

Answer: When a cube is divided into smaller cubes of equal size, the length, height, and width of each new cube are one-third of the original cube.

So each new cube will have a length, height, and width of 4/3 cm.

To calculate the surface area of each new cube, we need to find the area of each face and then add them up. Each cube has six faces, so we can calculate the surface area of one cube by multiplying the area of one face by six.

The area of one face of the new cube is (4/3)*(4/3) = 16/9 cm².

So the surface area of one new cube is 6*(16/9) = 96/9 cm² = 10.67 cm² (rounded to two decimal places).

Since we have 8 new cubes, the total surface area is 8 times the surface area of one new cube:

Total surface area = 8 * 10.67 cm² = 85.33 cm² (rounded to two decimal places).

Therefore, the surface area of the 8 new cubes is 85.33 cm².

The work required to move the particle with a charge of q = 19 microC from the other vertex to the center of the line joining the fixed charges is approximately -2.03 * 10^-14 J.

The work required to move a charge from one point to another in an electric field is given by the equation W = qV, where q is the charge and V is the potential difference.

In this case, the potential at the center of the line joining the two fixed charges can be calculated using Coulomb's law. The potential difference between the center and the third vertex can then be calculated, giving us the work required to move the particle with a charge q = 19 microC.

W = qV = 19 * 10^-6 C * V

Where V is the potential difference, which can be calculated as follows:

V = (1/(4 * pi * epsilon_0)) * ((Q / a) - (q / a))

Where epsilon_0 is the vacuum permittivity and a is the length of the sides of the equilateral triangle.

Substituting the values, we get:

W = 19 * 10^-6 C * (1 / (4 * pi * 8.854 * 10^-12 C^2/Nm^2)) * ((16 * 10^-6 C / 8 * 10^-6 m) - (19 * 10^-6 C / 8 * 10^-6 m))

W = 19 * 10^-6 C * (1 / (4 * pi * 8.854 * 10^-12 C^2/Nm^2)) * (-3 * 10^-6 C / 8 * 10^-6 m)

W = 19 * 10^-6 C * (1 / (4 * pi * 8.854 * 10^-12 C^2/Nm^2)) * (-3 * 10^-6 / 8) J

W = -2.03 * 10^-14 J

Learn more about Coulomb's law in brainly.com/question/506926

#SPJ1

The velocity of the combined lump after the collision is 39.5 cm/s, which is the average velocity of the two lumps before the collision.

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system before a collision is equal to the total momentum of the system after the collision, provided there are no external horizontal forces acting on the system.

The momentum of an object is equal to its mass multiplied by its velocity. Therefore, we can calculate the total momentum of the system before the collision as:

Total momentum before collision = (0.50 g) × (-20.0 cm/s) + (70.0 g) × 40.0 cm/s

= -10.0 g·cm/s + 2800.0 g·cm/s

= 2790.0 g·cm/s

Since the two lumps stick together after the collision, their masses combine to form a single lump. Let's call the velocity of the combined lump after the collision "v". We can then calculate the total momentum of the system after the collision as:

Total momentum after collision = (0.50 g + 70.0 g) × v

= 70.50 g × v

According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Therefore, we can equate these two expressions and solve for "v":

Total momentum before collision = Total momentum after collision

2790.0 g·cm/s = 70.50 g × v

v = 2790.0 g·cm/s ÷ 70.50 g

v = 39.5 cm/s

This result can be explained by the fact that, in the absence of external horizontal forces, the momentum of the system is conserved, and the total mass of the system remains constant.

To learn more about collision click on,

https://brainly.com/question/29127329

#SPJ1

Answer:

According to Albert Einstein's equation, E = m·c², matter and energy are fundamentally related

Events that involve matter and energy that can be explained includes;

The boiling of water in a kettle

The rebound of objects including water after falling

The sound made by airplane and helicopters

Events involving matter and energy that are difficult to explain includes

The cause of the universe that manifest into about matter

The size of the universe

The fundamental object controlling gravity

Decipherable

1) The boiling of water in a kettle; Water boils by the addition of energy that raises the temperature of the particles which result in the forming of vapor as the bonds of the liquid state are broken by the fast moving molecules

2) The rebound of objects including water after falling from a height is proportional to the height from which the object is dropped, due to conservation of energy principle

3) The sound made by airplane and helicopters; This is due the interactions with the air to develop propulsion in the air

Difficult to decipher

1) The cause of the universe that manifest into about matter; The reason behind the formation of the universe is difficult to explain

2) The size of the universe; Will it be possible to know measure a universe

If the universe is measurable, how many universes do we have;

3) The fundamental object controlling gravity; What particle is responsible for gravity and the way if functions

Explanation: