two people are on a train that is moving at 10 m/s north. they are walking 1 m/s south relative to the train. relative to the ground, their motion is 9 m/s north. why are we able to use these motions to describe the motion relative to the ground?

The first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.

The resultant of two vectors is determined from Pythagoras theorem is as shown below.

R² = a² + b²

Thus, the first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.

Learn more about resultant vectors here: https://brainly.com/question/110151

#SPJ1

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them is called gravitation force of attraction

gravitation force = Gm1 m2 / \(r^{2}\)

G = gravitational constant

m1 = mass of one object

m2 = mass of other object

r = distance between them

case 1

F1 = G (50) (100) / \(20^{2}\) = 12.5 G

F2 = G (50) (10) / \(10^{2}\)  = 5 G

F3 = G (200) (150) / \(10^{2}\) = 300 G

F4 =  G (200) (150) / \(30^{2}\) = 33.33 G

F3 is the greatest of all forces , hence 3rd case in which masses were 200kg and 150 kg separated with a distance of 10 will have greatest force of all

To learn more about gravitation force  here

https://brainly.com/question/29009418

#SPJ1

Answer:

Ans :- 3.1415

The value of ππ correct to 55 significant figures is 3.1415

A 4kg object possesses 18J of kinetic energy then 3m/s will be its velocity.

Given:

Maas of object- 4kg

Kinetic energy-18J

Velocity-?

Kinetic energy is the energy possessed by a moving object, depending on its mass and velocity.

therefore,Kinetic energy =1/2 x mv^2

18J = 1/2 x 4kg x v^2

18J = 0.5 x 4kg x v^2

18J = 2kg x v^2

v^2 = 18/2

v^2 = 9

v = √9 (square root of 9)

v = 3 m/s

The velocity of a 4kg object with 18J of kinetic energy will be 3m/s.

Learn more about velocity:

https://brainly.in/question/5746635

The measurement of the length of a swimming pool, the SI unit is meters (m).

In the International System of Units (SI), the standard unit for measuring length is the meter (m). The meter is defined as the distance travelled by light in a vacuum during a specific time interval. It is widely used for measuring various lengths, including the length of a swimming pool.

When measuring the length of a swimming pool, you would typically use meters as the unit of measurement. This is because meters provide a convenient and standardized way to express distances. A swimming pool's length can be measured by physically stretching a measuring tape or using a measuring device calibrated in meters.

Using the SI unit of meters allows for consistency and compatibility when communicating measurements across different contexts and disciplines. It enables accurate and precise comparisons, calculations, and analysis of length-related quantities.

To know more about SI unit here

https://brainly.com/question/12098941

#SPJ4

Answer: 1200 000 J = 1.2 MJ

Explanation: Ek = 0.5 mv² = 0.5 · 1500 kg· (40 m/s)²

To repeat the same sound clip one after another, the method used is to concatenate the sound sample arrays. By concatenating the sound sample arrays, you create a new array that contains multiple copies of the original sound clip, effectively repeating it one after another. Therefore the correct option is b. Multiply the sound sample arrays by a scalar value less than 1.

When you want to repeat the same sound clip, one after another, you can achieve this by concatenating the sound sample arrays. Here's a step-by-step explanation:

1. Load the sound clip into MATLAB and convert it into a sound sample array.

2. Determine the number of times you want to repeat the sound clip.

3. Use the concatenation operator `[ ]` to join the sound sample arrays together.

4. Repeat the sound sample array as many times as desired by appending it to itself using the concatenation operator. For example, if you want to repeat the sound clip three times, you would write `[soundClip, soundClip, soundClip]`.

5. Store the concatenated sound sample array in a new variable.

6. If needed, you can then play the repeated sound clip using the `sound()` function in MATLAB.

By concatenating the sound sample arrays, you create a new array that contains multiple copies of the original sound clip, effectively repeating it one after another.

To know more about scalar value click here:

https://brainly.com/question/30462984

#SPJ11

(a) The magnitude of the deceleration of each of the cars is a=f/m=μk mg/m=μkg. If a car stop in distance d , then its speed ν just after impact is obtained from Eq. 2−16 :

Since ν0=0 (this could alternatively have been derived using Eq. 8−31 ). Thus,

νA= \(\sqrt2μkgdA\) = \(\sqrt2(0.13)(9.8m/s 2 )(8.2m)\) =4.6m/s .  

(b) Similarly , νB= \(\sqrt2μkgdB\)= \(\sqrt(2(0.13)(9.8m/s2)(8.2m))\) =4.6m/s .

(c) Let the speed of car B be ν  just before the impact. Conservation of linear momentum gives

mB ν=mA νA + mB ​νB, or

ν= \(\frac{(mA νA + mB νB)}{mB}\)= \(\frac{(1100)(4.6)+(1400)(3.9)}{1400}\)=7.5m/s

Linear momentum, also known as momentum, is a vector quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. The unit of momentum is kilogram meter per second (kg m/s). Linear momentum is a conserved quantity, meaning that the total momentum of a system of objects remains constant if no external forces act upon it. This principle is known as the law of conservation of momentum and it is a fundamental concept in classical mechanics.

The momentum of an object can be changed by applying a force on it, causing the object to accelerate. The greater the mass of an object and the faster it is moving, the greater its momentum. Understanding linear momentum is important in various fields including physics, engineering, and sports, where it is used to analyze the motion of objects and predict the outcome of collisions.

To learn more about Linear momentum visit here:

brainly.com/question/27988315

#SPJ4

Complete Question: -

In the before part of Fig. 9-60, car A (mass 1100kg ) is stopped at a traffic light when it is rear-ended by car B (mass  1400kg ). Both cars then slide with locked wheels until the frictional force from the slick road (with a low μ k of 0.13) stops them, at distances dA = 8.2m  and dB = 6.1m. What are the speeds of (a) car A and (b) car B at the start of the sliding, just after the collision? (c) Assuming that linear momentum is conserved during the collision, find the speed of car B just before the collision.

Answer:

Active stretching.

Explanation:

Think about it.

Answer:

Explanation:

Given :-

Solution :-

Frequency of a wave is given by :

where,

On substituting the values we get :

\(\dashrightarrow \sf F = \dfrac{240}{0.20} \\ \\ \dashrightarrow \rm F = 1200 \: Hz \\\)

The spring-like property that returns a muscle to its original length after a contraction ends is known as muscle elasticity. When a muscle contracts, it generates force and shortens in length. This contraction is achieved by the sliding of actin and myosin filaments within the muscle fibers.

However, once the contraction is over and the force is no longer applied, the muscle has the remarkable ability to return to its original length.

Muscle elasticity is attributed to two main factors: the structural arrangement of proteins within the muscle fibers and the connective tissue surrounding the muscle.

The proteins act as molecular springs that can be stretched and then recoil back to their original position when the force is released. This property allows the muscle to efficiently generate and transmit forces during movement.

Additionally, the connective tissue, such as tendons and fascia, surrounding the muscle acts as a supportive framework. It stores and releases energy during muscle contractions, assisting in the recoil and restoration of the muscle's original length.

Overall, muscle elasticity is essential for the proper functioning of our musculoskeletal system, allowing us to move efficiently and smoothly while maintaining the integrity of our muscles.

To know more about Muscle Elasticity refer here

https://brainly.com/question/49168804#

#SPJ11

The average magnitude error that can be achieved by the pressure sensor is 0.337

A pressure sensor is a device that converts an applied pressure into an electrical signal. It is used to evaluate, observe, and monitor the operation of systems that use air or water pressure. Its electronic system transforms the pressure reading into an electrical signal that is transmitted to a screen or system controller for reading and evaluation

The time constant is the duration required for the device's output to react to the input and achieve a 63.2% of its maximum value. It's given by the following formula: time constant (τ) = resistance (R) × capacitance (C)Magnitude Error.

The magnitude error is the percentage by which the output of the system deviates from the desired output. It is represented as a percentage. It is determined by the system's capacity to preserve the exact output while changing in response to external stimuli.

To compute the magnitude error of the pressure sensor, we use the following formula:magnitude error (ε) = τ × 2π × frequency (f)Therefore, ε = 15.4 x 2 x π x 1 = 0.0965and ε = 15.4 x 2 x π x 3 = 0.5778The magnitude error that can be achieved ranges between 0.0965 and 0.5778.

Thus, the average magnitude error  is (0.0965 + 0.5778)/2 = 0.33715 or 0.337. Therefore, the answer is 0.337.

learn more about pressure sensor here:

https://brainly.com/question/8405989

#SPJ11

Answer:

The correct option is;

Computer, Sensor Machines

Explanation:

In order to detect the exact location of the landing of a tennis ball, a device known as Hawk-Eye is used

Hawk-Eye tracks the balls trajectory using visual sensors and computing technology combined as computerize vision that monitors the path of the  ball path and by statistical computation, graphically presents the most probable path in which the ball travels which can then be viewed onscreen as what is known as a Shot Spot.

The Hawk-Eye system is applied in ball playing games such as tennis, volley ball, association football, hurling, rugby union, Garlic football, badminton, and cricket.

Marine magnetic anomalies result when sea-floor spreading occurs at the same time as the Earth's magnetic field reverses polarity.

Marine magnetic anomalies result when sea-floor spreading occurs at the same time as the Earth's magnetic field reverses polarity. The marine magnetic anomalies are created by basaltic rocks being magnetized in the direction of the Earth's magnetic field as they cool and solidify. As new sea floor is created at the mid-ocean ridge, it records the polarity of the geomagnetic field at the time of its formation and preserves it in the rocks as a stripe of either normal or reversed polarity. By measuring the magnetic intensity of the rocks at various locations on either side of a mid-ocean ridge, it is possible to map out the pattern of magnetic stripes and, hence, the history of magnetic reversals.

Marine magnetic anomalies result when sea-floor spreading occurs at the same time as the Earth's magnetic field reverses polarity. Marine magnetic anomalies result from the changes in the earth's magnetic field's polarity, as new rocks are formed at the mid-ocean ridge. As the rocks cool, they become magnetized and record the polarity of the magnetic field at the time of their formation.

The Earth's magnetic field can have either a normal or reversed polarity, which is frequently reversed. When sea-floor spreading occurs, and the rocks cool and become magnetized, this produces marine magnetic anomalies. The resulting marine magnetic anomalies are a result of the Earth's magnetic field reversing polarity while sea-floor spreading is happening. The creation of new rocks at the mid-ocean ridge is responsible for the polarity of the geomagnetic field at the time of its formation being recorded and preserved. The pattern of magnetic stripes can be used to map out the history of magnetic reversals by measuring the magnetic intensity of the rocks on either side of the mid-ocean ridge. Therefore, marine magnetic anomalies result when sea-floor spreading occurs at the same time as the Earth's magnetic field reverses polarity.

Marine magnetic anomalies result when sea-floor spreading occurs at the same time as the Earth's magnetic field reverses polarity. Marine magnetic anomalies are a result of the Earth's magnetic field's polarity reversing, which occurs when rocks are formed at the mid-ocean ridge. The polarity of the geomagnetic field at the time of its formation is recorded and preserved in the rocks as new sea floor is created at the mid-ocean ridge. Mapping out the history of magnetic reversals is possible by measuring the magnetic intensity of the rocks on either side of the mid-ocean ridge.

To know more about magnetic field visit:

brainly.com/question/14848188

#SPJ11

Answer:

Technology is the application of scientific knowledge to the practical aims of human life or, as it is sometimes phrased, to the change and manipulation of the human environment.

Please Mark it as brainlist answer.

Option C. The buoyant force will be greater than the gravitational force, causing the object to rise.

When an object is submerged in a fluid and is being pushed back up to the surface, there are several forces acting on it. These forces are:

Buoyant force: This force is the upward force exerted by the fluid on the object. It is equal to the weight of the fluid displaced by the object and is directed opposite to the gravitational force.

Gravitational force: This force is the downward force exerted on the object due to gravity. It is equal to the weight of the object and is directed towards the center of the earth.

Drag force: This force is the resistance that the fluid exerts on the object as it moves through it. It is directed opposite to the velocity of the object and is proportional to the velocity squared.

Surface tension: This force is the cohesive force that exists between the molecules on the surface of the fluid. It acts perpendicular to any line tangent to the surface of the fluid and is dependent on the properties of the fluid and the object's surface.

In the case of an object being pushed back up to the surface of the fluid, the buoyant force will be greater than the gravitational force, causing the object to rise. The drag force and surface tension may also play a role in the motion of the object, but their effects will depend on the specific conditions of the fluid and the object.

Learn more about force of gravity here: https://brainly.com/question/2537310

#SPJ1

The student's reasoning is correct in the sense that both scenarios involve the displacement of water. When the anchor is in the boat, it causes the boat to sink lower, displacing more water and raising the water level in the lake. When the anchor is immersed in the pond, it also displaces water due to its volume.

Observations that fit with the student's prediction would be that the water level in the pond does not change when the anchor is placed on the bottom.
1. The water level in the lake rises when the anchor is added to the boat, indicating that the anchor's weight is causing the boat to displace more water.
2. The anchor's volume causes water displacement when it is submerged in the pond, which can be observed as the water level around the anchor rises.

Learn more about displacement here ;

https://brainly.com/question/29769926

#SPJ11

to the East speeds up from rest to 8 m/s in 2 s. What is its acceleration

The acceleration of the car having velocity 8 m/s in time 2 s is 4 m/s².

Acceleration of a moving body is defined as the rate of change of its velocity.

Here,

Initial velocity of the car, u = 0    since the car was at rest initially.

Final velocity of the car, v = 8 m/s

Time taken by the car, t = 2 s

Using the first equation of motion,

v = u + at

Applying the values of v, u and t,

8 = 0 + a x 2

2a = 8

Therefore,

Acceleration of the car, a = 8/2

a = 4 m/s²

Hence,

The acceleration of the car having velocity 8 m/s in time 2 s is 4 m/s².

To learn more about acceleration, click:

https://brainly.com/question/15275390

#SPJ3

Explanation:

On a position vs time graph (x vs t), displacement is the difference in positions (Δx = x₂ − x₁).

On a velocity vs time graph (v vs t), displacement is the area under the graph (Δx = ∫ v dt).

ANSWER

EXPLANATION

Parameters given:

Refractive index, n = 1.15

Wavelength of the light, λ = 410.74 nm

To find the minimum thickness of the non-reflective coating, apply the formula:

Therefore, the minimum thickness of the non-reflective coating is:

That is the answer.

Answer:

\(\boxed{V_{i} = 5\ m/s}\)

Explanation:

Given:

Acceleration = a = 0.75 m/s²

Time = t = ?

Final Velocity = \(V_{f}\) = 72 km/hr = 20 m/s

Required:

Initial Velocity = \(V_{i}\) = ?

Formula:

a = \(\frac{V_{f}-V_{i}}{t}\)

Solution:

For  \(V_{i}\)  the formula becomes:

\(V_{i} = V_{f}-at\)

\(V_{i}\)  = 20 - (0.75)(20)

\(V_{i}\)  = 20 - 15

\(V_{i}\)  = 5 m/s

In Case: If you want it in km/hr:

\(V_{i}\)  = 5 * 3.6

\(V_{i}\)  = 18 km/hr

Answer:

5 m/s

Explanation:

acceleration = 0.75 m/s²

time = 20 s

final velocity = 72 km/h = 20 m/s

initial velocity = ?

Apply formula for initial velocity.

\(u=-at+v\)

\(\sf a=acceleration\\t=time\\v=final \: velocity\\u=initial \: velocity\)

Solve for u.

\(u=-(0.75)(20)+ 20\)

\(u=-15+20\)

\(u= 5\)

Answer:

It is important to be able to separate mixtures to obtain a desired component from the mixture and to be able to better understand how each component.

Explanation:

The tension in one rope is 120 N. The resultant is a vertical force of 160 N. To find: The magnitude and direction of the force P are 40 N and 36.87° respectively.

The force P makes an angle θ with the vertical force. The resultant force is given by the vector sum of the two forces.

R = P + T .....(1)

Where T is tension in one rope.

R = 160 N ....(2)

From equations (1) and (2):

P = R - T

= 160 N - 120 N

= 40 N

The magnitude of the force P is 40 N.  

In the right-angle triangle shown below,

θ = tan-1 (6/8)

θ = 36.87°

The force P makes an angle of 36.87° with the vertical force.

The direction of the force P is 36.87°.

Hence, the magnitude and direction of the force P are 40 N and 36.87° respectively.

To know more about magnitude:

https://brainly.com/question/2596740

#SPJ11

Answer:

Kinetic energy = 0.25 J

Explanation:

The question is "If we take container one as a reference and apply 5 grams of ink and the water moves at a speed of 10m / s, what would the kinetic energy of the solution be?"

We have,

Mass of ink, m = 5 grams = 0.005 kg

Speed of water, v = 10 m/s

We need to find the kinetic energy of the solution of water and ink. Kinetic energy is associated with the motion of an object. Its formula is given by :

\(K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 0.005\times (10)^2\\\\K=0.25\ J\)

So, the kinetic energy of the solution is 0.25 Joules.

The formula of a spring-mass-damper system is given by md2x/dt2 + cdx/dt + kx = F(t).

The spring-mass-damper system is a common model used in physics and engineering to describe the behavior of various mechanical systems, such as a car suspension system or a building during an earthquake. The equation of motion for a spring-mass-damper system is typically given by:

md2x/dt2 + cdx/dt + kx = F(t)

where m is the mass of the object attached to the spring and damper, x is the displacement of the mass from its equilibrium position, t is time, c is the damping coefficient, k is the spring constant, and F(t) is an external force applied to the system at time t.

The term md2x/dt2 represents the acceleration of the mass, while cdx/dt represents the damping force (i.e. resistance to motion) caused by the damper, and kx represents the force exerted by the spring. The external force F(t) can be any force applied to the system, such as an oscillating force or a constant force.

The solution to this differential equation depends on the initial conditions (i.e. the initial position and velocity of the mass) and the specific values of the parameters m, c, and k. The behavior of the system can be analyzed using various techniques, such as finding the natural frequency of the system or using numerical simulations to model the motion over time.

For such more questions on Equilibrium

https://brainly.com/question/517289

#SPJ4

According to the account by the Greek merchant Cosmas in Source 6.4, Axum was a major source of the commodity known as ivory for the Roman Empire.

Axum, an ancient kingdom located in present-day Ethiopia, was known for its abundant supply of ivory during the time of the Roman Empire. The Greek merchant Cosmas, in his account, highlights the importance of Axum as a major source of ivory for the Roman Empire.

Ivory, which is derived from the tusks of elephants, was highly valued and sought after in ancient times. It was used for various purposes, including decorative art, jewelry, and luxury items. The Roman Empire had a strong demand for ivory due to its aesthetic appeal and symbol of wealth and status.

Axum's geographical location, situated in the eastern part of Africa, provided access to regions where elephants were abundant. The kingdom established trade networks and commercial routes that allowed them to obtain ivory from the interior regions of Africa and export it to the Roman Empire.

The Greek merchant Cosmas, as a participant in the trade between the Roman Empire and Axum, likely witnessed the extensive trade of ivory and recognized Axum's significant role as a major supplier of this valuable commodity to the Roman Empire.

Therefore, according to the account by the Greek merchant Cosmas in Source 6.4, Axum was a major source of the commodity known as ivory for the Roman Empire.

learn more about Greek merchant Cosmas on

https://brainly.com/question/31564816

#SPJ11

Answer:

a

Explanation:

because if gas particles move they move with speed and that is because they are free,so when they bump into something,they bump into it with force so it converts the energy