On a frictionless surface, a 2-kilogram cart moves at a velocity of 3 meters per second west and hits a 4-kilogram cart that is not moving, initially. The two carts stick together and move off at a slower speed to the west. What is this slower speed?


a. 0. 5 meters/second


b. 1 meter/second


c. 1. 5 meters/second


d. 2 meters/second

Answer:

1.0 x 10-6 N.

Explanation:

The gravitational force

Fg = G m1 m2 / r2 = (6.673 x 10-11) (50 kg) (75 kg) / (0.50 m)2 = 1.0 x 10-6 N.

The tension in the wire is 2.99986 N.  The amplitude of the oscillation of the wire is approximately 0.01067 meters.

The tension (T) can be calculated using the equation:

T = m × g

T = 0.306 × 9.81

T = 2.99986 N

The linear mass density (μ) of the wire is given by the mass per unit length of the wire. It is calculated as:

μ = m(wire) ÷ L(wire)

μ = 0.185 ÷ 1

μ = 0.185 kg/m

The speed (v) of the wave on the wire can be determined using the equation:

v = √(T ÷ μ)

v = √(2.99986 ÷  0.185 )

v = 7.351 m/s

The power (P) transmitted by the wave is related to the amplitude (A) and the speed (v) of the wave through the equation:

P = 2π² × μ × v × A² × f²

A² = P ÷ (2π² × μ × v × f²)

A² = 139 ÷ (2π² × 0.185 × 7.351 × (60.0)²)

A² = 1.138 × 10⁻⁴

A = √(1.138 × 10⁻⁴)

A = 0.01067 m

Therefore, The amplitude of the oscillation of the wire is approximately 0.01067 meters.

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Since the particle always moves in a circular motion in a direction perpendicular to the radial direction.

The work done by the centripetal force in a circular motion is therefore always zero since the dot product is always zero. A force known as the centripetal force acts on a particle when it is revolving around a specific axis or point. The circular path's center is where this force is directed. The ideal decision is (d) Therefore, the body's weight will be equal to the centripetal force when the angular acceleration reaches the same level as the acceleration caused by gravity. It should be noted that for the centripetal force to equal the weight, there must be a uniform circular motion.

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Answer:

3 km displacement

Explanation:

I'm pretty sure that's the answer, I'm so sorry if it's not

Answer:

The amount of work done is 45 J.

Explanation:

We know that the force applied is 15N. The amount of displacement experienced by the box is 3 metres along the floor.

Thus, F= 15N

D= 3 metres

The formula for calculating work done is W= F×D

Thus, W=15×3

W=45J

Thus, the amount of work done is 45J.

The velocity of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Velocity is the rate of change of velocity. At any point on a trajectory, the magnitude of the velocity is given by the rate of change of velocity in both magnitude and direction. Velocity of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of we can calculate. Hence by the primary information that we have we can formerly consider that the velocity which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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According to the given data the total energy (E) of the system is 11.2 m J.

A periodic movement between two sites is what is referred to as oscillation in this type of behavior. Examples of oscillating motion include plucking a guitar string, pendulum swinging, and pogo stick bouncing. The major distinction between oscillation, vibration, and simple harmonic motion is that oscillation is a general term for any repeating fluctuation about a central value, whereas vibration is a term used especially to describe mechanical oscillations.

Energy is given by-

E= 1/2KA²

E = 1/2 ×N/m× (8×10∧-2 m)²

​E = 11.2 m J

Speed of the object-

v = ω[tex]\sqrt{A2-x2}[/tex]

v = [tex]\sqrt{K/m}[/tex]    [tex]\sqrt{A2 - x2}[/tex]

v = [tex]\sqrt{35/55*10-3}[/tex] ×( (8×10-2)∧-2 - (1.20 × 10-2)∧2 )[tex]^{-1/2}[/tex]

v = 25.22 × 0.079

v = 2 m/s.

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The average reading must be multiplied by a multiplier of 1.111 to become the rms value for just a sine wave flow.

Wave-current interaction in fluid dynamics is the interaction of a mean flow with surface gravity waves.After the interaction begins, both the waves as well as the average flow are impacted since the contact implies an energy exchange.

While the tide is a type of vertical motion of the ocean's water, waves and ocean circulation represent horizontal movements of the water.

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If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.

In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks.

Therefore, if the blocks have different masses, they will have different accelerations.

In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.

In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.

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According to Newton's law of gravitation, the new gravitational force will be F/9

It states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,

F = GMm/d²

Where

The magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow

f = GMm/(3d)²

f = GMm/9d²

f = GMm/d² × 1/9

Since GMm/d² = F

f = F × 1/9

f = F/9

Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton

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Answer:

Explanation:

a.speed with direction associated

b.the ability to resist motion

c.The rate of change of position of an object

e.any influence object's motion

f.forces cancel out, create equilibrium

g.total force acting on an object

h. change in position of an object (total distance from starting point)

The new force of attraction is 324N if the distance between the centres of the two objects is reduced by a factor of 3e.

The equation for the force of gravitational attraction between two objects is: F = G*(m1*m2)/r^2 Where F is the force of attraction, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers. If the distance between the two objects' centers is decreased by a factor of three, the new force of attraction will be: F' = G*(m1*m2)/(r/3)^2The ratio of the new force of attraction to the original force of attraction is:

F'/F = (r/3)^2 If we substitute in the original force of attraction, we have:

F'/36 = (r/3)^2 = F' = 36 * (r/3)^2

As we decrease the distance by a factor of 3, the new force of attraction will increase by a factor of 9.

F' = 36*9 = 324 N

Therefore, the new force of attraction is 324 N.

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The statement that best defines climate is as follows: the average conditions of the atmosphere for a large region for the past 30 years or more (option D).

Climate is the long-term manifestations of weather and other atmospheric conditions in a given area or country.

Climate is now usually represented by the statistical summary of its weather conditions during a period long enough to ensure that representative values are obtained (generally 30 years).

A description of a climate includes information on, e.g. the average temperature in different seasons, rainfall, and sunshine.

Therefore, option D correctly describes climate.

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Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

When a current, or flow of charge, must pass through a sequence of devices, resistors are used. For instance, if a person holding a screwdriver allows current to flow through them and into the Earth, then

Resistors are connected in series to a voltage source. Given that the current must flow sequentially through each resistor, it makes sense that the total resistance is equal to the sum of the individual resistances.

This fact would be helpful to someone trying to prevent an electrical shock since they could wear high-resistance rubber-soled shoes to lower the current.

Therefore, Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

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Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

Work is the scalar product of the force acting on an object and the displacement that force causes when the force is constant.

Despite the fact that work lacks a direction due to the scalar product (or dot product) aspect of vector mathematics, force and displacement are both vector quantities.

"W" stands for work, "F" is the force, and "d" represents displacement (or the distance the object travels).

Therefore, Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

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If you push with a force of 65 N and the bookcase accelerates at 0. 12 m/s2. The answer to the given question is A65=41×A.A=1.2m.

Functions and co efficients are: Ff=μkFN F f = μ k F N

The equation for kinetic friction, where FN is the object's normal force and k is the coefficient of kinetic friction.

The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula which is fr = Fr/N serves as a representation of kinetic friction.

The primary distinction between static and kinetic friction is that kinetic friction occurs when there is relative motion between the surfaces, whereas static friction occurs when the surfaces are at rest.

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The ball requires a total of zero work to go to the right at 24 m/s.

Take into account the ball's kinetic energy.

Vi = -24 ms-1 for the initial velocity

Final velocity: vf = +24ms⁻¹

K = 12mvf²- 12mvi² = 12m(vf² - vi²) = 12m(242 - 242) = 0,

meaning that the ball does not undergo any effort.

As an alternative, think about the effort made to stop the ball.

W1 = ½m(0 – 24²) = 0.5 × 0.06 × –576 = –17.28J

Work required to accelerate the ball from rest to +24 milliseconds per second was W2 = 12m(242 - 0) = 0.5 0.06 576 = +17.28 J.

Therefore, the sum of the work is W = W1 + W2 = -17.28 + 17.28 = 0 J.

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The distance that is covered by the sound is  1.66 * 10^2 m.

We know that sound is a mechanical wave. The implication of this is that sound woulod need to have a medium through which the sound can be able to travel. The speed of sound in the various media through which the sound travels is not the same.

We know that the speed of sound in air is 331 m/s and we have to use this in our calculations.

Distance = speed * time

Distance =  331 m/s * 0.5 s

= 1.66 * 10^2 m

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The difference in gravitational potential energy for sputnik 1 as it moved from apogee to perigee is 193 kJ.

The gravitational potential energy of an object in orbit around the Earth can be calculated using the equation:

U = -GMm/r

where U is the gravitational potential energy, G is the gravitational constant, M is the mass of the Earth, m is the mass of the object.

The difference in gravitational potential energy as the satellite moves from apogee to perigee can be found by calculating the potential energy at each point and subtracting the two values:

U(apogee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (7300 x 10^3 m)

U(perigee) = -(6.67 x 10^-11 N*(m^2)/(kg^2)) * (5.972 x 10^24 kg) * (83.5 kg) / (6610 x 10^3 m)

U(apogee) = -1.865 x 10^5 J

U(perigee) = -2.058 x 10^5 J

The difference in gravitational potential energy is:

= U(perigee) - U(apogee)

= -2.058 x 10^5 J - (-1.865 x 10^5 J)

= 193 x 10^3 J

So, the difference in gravitational potential energy for Sputnik 1 as it moved from apogee to perigee is 193 kJ.

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The magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is 918.7 N/C.

Given that,

Charge on point particle Q = -5.4 nC = -5.4 × 10⁻⁹ C

Distance from the charge r = 23 cm = 23 × 10⁻² m

The relation between distance charge and electric field is known to be,

E = 1/4πε₀ × Q/r² = 9 × 10⁹ × (-5.4 × 10⁻⁹)/(23 × 10⁻²)² = (9 × 5.4)× 10⁴/(23)² = 918.7 N/C

Thus, the magnitude of the electric field due to this charge at a distance of 23.0 cm from the charge is calculated to be 918.7 N/C.

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If the block starts from rest, then revolutions that it make before the tube breaks is 0.947 rotations.

When object turns around an internal axis, it is called a rotation. When object circles an external axis, it is called revolution.

Given mass of block = 600 g = 0.6 kg ; Radius of rotation = 1.0 m-long

Given thrust force of 4.2 N

The maximum tension is 50 N.

As thrust is perpendicular to the tube. So, tangential component of the thrust force is Ft=4.2 N and radial component Fr=0

As we know, α = F/m r

= 4.2/0.6 * 1

α = 7 rad/s²

As, m r ω²= 50 N

ω² = 50/ 0.6 * 1.0

ω = 9.128 rad/s

Ф = ω² - ω0²/2α

= (9.128² - 0)/2 * 7

Ф = 5.951 rad

As 1 Radians = 0.1592 Rotations,

5.951 rad = 0.947 rotations.

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Answer:

(a) 0.500 s displacement 70.0 m - 7.2 m velocity 7.2 m/s

(b) 1.00 s displacement 70.0 m - 28.8 m velocity -13.6 m/s

(c) 1.50 s displacement 70.0 m - 57.6 m velocity -20.4 m/s

(d) 2.00 s displacement 70.0 m - 92.8 m velocity -24.0 m/s

(e) 2.50 s displacement 70.0 m -134.4 m velocity -25.2 m/s

Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles

Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.

Given that Stephen has to drive 8 miles south and 3 miles east to get to work.

His distance will be 8 miles + 3 miles = 11 miles

While his displacement can be calculated by using Pythagoras theorem. That is,

Displacement D = √(8² + 3²)

D = √(64 + 9)

D = √73

D = 8.5 miles

Therefore, his distance is 11 miles and his displacement is 8.5 miles.

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Answer:

through a chain reaction of particle collisions in a medium.

Explanation:

The human ear canal is closed at one end. Thus, the fundamental frequency of the given ear canal is 3044.64Hz 3044.64 Hz .

Under air conduction (AC) excitation, the mean resonance frequency of the human middle ear is estimated to be between 0.8 and 1.2 kHz. The typical resonance frequency under bone conduction (BC) excitation, according to research, is higher, at 1.5–2 kHz.

It is a tube with an open end (the concha section) and a closed end (the tympanic membrane), which responds to a quarter-wave by behaving as a resonator. The resonance frequency is described by the equation F=v/4L, where "v" stands for the speed of sound and "L" for the length of the EAC.

The EAR formula should be used: EAR = (1+ i/n)n - 1. I = Stated interest rate, etc.

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Answer:

13.875Ω & 5Ω

Explanation:

in the first diagram:-

R = Rs + Rp + Rs'

Rp => [tex]\frac{1}{7} + \frac{1}{1} = \frac{1+7}{7} = \frac{8}{7} \\[/tex]

Rp = [tex]\frac{7}{8}[/tex] = 0.875

4 + 0.875 + 9 = 13.875Ω

in the second diagram:-

R= Rp + Rs + Rp'

Rp => 1/6 + 1/3 = 1+2/6 = 3/6 => 2

Rp' => 1/3+1/3+1/3 = 3/3 => 1

R = 2 + 2 + 1 = 5 Ω

The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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Yes, the given statement is correct in a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s.

Momentum is directly proportional to mass and velocity. The momentum of the object increases proportionally as either mass or velocity are increased. The momentum is doubled for every unit increase in mass or speed.

In first case

Momentum = mass × velocity

Momentum = 140 × 4

Momentum = 560 kg.ms⁻¹

In second case

Momentum = mass × velocity

Momentum = 70 × 8

Momentum = 560 kg.ms⁻¹

In both cases momentum is same so the given statement is correct.

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The causes diffusion in cells are,  temperature, area of interaction, the size of the concentration gradient.

1) Temperature, The rate of diffusion increases as temperature rises.

2) Area of Interaction: The rate of diffusion increases as the surface area of interacting molecules increases.

3) The Size of the Concentration Gradient: The rate of diffusion is higher the greater the concentration gradient between the regions.

Higher the rate of diffusion, the more concentration between the locations. The movement is forced because of the increased pressure that the higher concentration creates. The movement of molecules from a location of higher concentration to a region of lower concentration can be used to define diffusion. The continuous motion (or kinetic energy) of atoms in matter is the primary cause of diffusion.

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Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.

The earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.

Two magnets have more potential energy when they are held apart than when they are near to one another. They will migrate near each other and begin working if you let them go.

The force acting on the two objects affects the potential energy formula. P.E. = mgh, where m is the mass in kilograms and g is the acceleration due to gravity, is the formula for gravitational force.

Therefore, Potential energy is the power that a thing possesses as a result of where it is in relation to other objects.

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