A 2.5-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 4.6 m/s, and the second cart's velocity is -1.8 m/s. (a) What is the total momentum of the system of the two carts at this instant

The force required to raise the box up the ramp when the ramp is 12 meters long, the box is 4 meters and the box weighs 200 newtons is 653.33 N (7840/12)

To determine the force required to raise the box up the ramp, we can use the work-energy principle.

Work = Change in PE

W = PEf - PEi

where

W = work done (Joules)

PEf = final gravitational potential energy (Joules)

PEi = initial gravitational potential energy (Joules)

The gravitational potential energy of an object is given by the formula:

PE = mgh

where

m = mass of the object (200 N)

g = acceleration due to gravity (9.8 m/s^2)

h = height (4 meters)

We can find the change in potential energy as follows:

PEf = mgh = 200 x 9.8 x 4 = 7840 J

PEi = mgh = 200 x 9.8 x 0 = 0 J

So, the change in potential energy is 7840 J.

Now we can calculate the work done as:

W = PEf - PEi = 7840 - 0 = 7840 J

The work done is equal to the force exerted on the object multiplied by the distance it is moved:

W = F x d

7840 = F x 12

So, the force required to raise the box up the ramp is 653.33 N (7840/12)

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Answer:

V = 1.67 m/s

Explanation:

Given the following data;

Force = 1000 N

Mass = 3000 kg

Time = 5 seconds

To find the speed of the truck;

First of all, we would find the acceleration

Force = mass * acceleration

1000 = 3000 * acceleration

Acceleration = 1000/3000

Acceleration = 0.333 m/s²

Using the first equation of motion, we would determine the speed;

V = u + at

Initial velocity is equal to zero because the truck starts from rest.

V = 0 + 0.333*5

V = 1.67 m/s

The identical formula for the two angles is Asin(b),Asin(b).

The general word for interference effects involving edges or apertures is diffraction. In waves with longer wavelengths than those of light, diffraction is more common. Diffraction, for instance, is what causes sound to swell when it goes through a doorway or bend around corners. Diffraction causes water waves along a rocky coast to widen as they pass through the rocks. Usually, Fresnel and Fraunhofer diffraction regimes are distinguished.

Fresnel diffraction is the regime in which the diffracted waves are observed relatively close to the site of the diffraction (in comparison to the size of the item causing the diffraction). Working with Fresnel diffraction is typically very challenging. The Fraunhofer diffraction regime is the more manageable of the two.

angle 1 = asin(λb),

angle 2 = asin(−λb)

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Answer: El tronco ejerce un igual y la fuerza opuesta hacia delante de ti, por la tercera ley de Newton .

Explanation:

The balloon will be drawn to the wall once it has been rubbed sufficiently to build up a sufficient negative charge. Even though the wall should generally be neutrally charged, its charges can change, causing a positively charged region to pull the negatively charged balloon toward it.

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To find the temperature of the warm iron, we first need to convert the reading on the thermocouple thermometer to a temperature value. To do this, we will use the formula:

Temperature = (Reading - Lower Fixed Point) / (Upper Fixed Point - Lower Fixed Point) * (Upper Temperature - Lower Temperature) + Lower Temperature

In this case, the lower fixed point is 9.00mV and the upper fixed point is 16.50mV. We also know that the lower temperature is 0°C (the freezing point of water) and the upper temperature is 100°C (the boiling point of water). So, we can plug in these values:

Temperature = (11.21mV - 9.00mV) / (16.50mV - 9.00mV) * (100°C - 0°C) + 0°C

Simplifying, we get:

Temperature = (2.21mV / 7.50mV) * 100°C

And further simplifying, we get:

Temperature = 0.2907 x 100°C

So, the temperature of the warm iron is approximately 29.07°C to the nearest whole number.

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The components of an electrical circuit represented by the model are as follows:

The figure models resistance in a circuit because just as resistance in a circuit opposes the flow of current, the load resists the movement of the man.

An electrical circuit is a complete path that is provided for the flow of electric current.

Tue components of an electric circuit includes:

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The frequency of the cart's motion for a distance of 10.0 meters is 0.075 Hz (Hertz), which means the cart completes 0.0775 round trips per second.

1) Period (T):

The period (T) is the time taken for one complete round trip. The cart travels from one end to the other and back in one round trip.

T =  (distance/speed)

T = (10.0 / 0.75 )

T = 13.33 seconds

So, the period of the cart's motion for a distance of 10.0 meters is approximately 13.33 seconds.

2) Frequency (f):

The frequency (f) is the number of complete round trips per unit time. It is the reciprocal of the period.

f = 1 / T

f = 1 / 13.33

f =  0.075 Hz

So, the frequency of the cart's motion for a distance of 10.0 meters is approximately 0.075 Hz (Hertz), which means the cart completes approximately 0.0775 round trips per second.

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Answer:

RT = 341.62 Ohms

Explanation:

Given the following data;

R1 = 420 Ohms

R2 = 320 Ohms

R3 = 160 Ohms

To find the equivalent resistance;

From the circuit, we can see that R1 and R2 are connected in parallel;

Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;

[tex] RT = \frac {R1*R2}{R1 + R2} [/tex]

Substituting into the formula, we have;

[tex] RT1 = \frac {420*320}{420 + 320} [/tex]

[tex] RT1 = \frac {134400}{740} [/tex]

RT1 = 181.62 Ohms

Next, we resolve the resistors to form a series circuit.

RT = RT1 + R3

RT = 160 + 181.62

RT = 341.62 Ohms

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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The answer is D, they reproduce quickly.

Answer: D. Reproduce quickly

Explanation:

A doesn’t really have much to do with it. B. isn’t true because viruses are not living. C. is also not true because they can, so D.

The final speed of the second car is '2v' and the collision is elastic collision.

The elastic collision is one in which the system does not experience a net loss of kinetic energy as the result of a collision. In elastic collisions, momentum & kinetic energy are both conserved.

v′ = m1v1 + m2v2 /m1+m2

v ′ = m 1 v 1 + m 2 v 2/ m 1 + m 2

in which m1 is mass of body 1, v1 is its initial speed, m2 is mass of body 2, & v2 is the final speed at which the two objects will be moving after colliding.

m1v +0 = mv/3 +m/3v2

v2 = 2v

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Answer:

a) angles 19.8º, 11.9º, 13.8, 20.4

b) speed 3 10⁸ m/s, 2,037 10⁸ m/s, v = 1.24 10⁸ m/s,  v = 2.06 10⁸ m/s

c)  wavelength  600 nm, 407.3 nm, 248.0 nm, 411.5 nm

Explanation:

For this exercise let's use the law of refraction

         n₁ sin θ₁ = n₂ sin θ₂

where subscript 1 is for the middle of the incident ray and subscript 2 for the middle of the refracted ray

the refractive index is related to the speed of the lightning in the middle

          n = c / v

When the ray enters a material medium, it is absorbed and re-emitted by the atoms in the medium, the frequency remains constant, it is a resonant system, but as the speed of light changes in the medium, the wavelength must change to keep the equation

in the void

                 c = λ f

in the material medium

                   v = λ f

                  [tex]\frac{c}{\lambda_o} = \frac{c}{\lambda_n}[/tex]

                  λₙ = [tex]\frac{v}{c} \ \lambda_o[/tex]

                  λₙ = λ₀ / n

we used  these expressions to our case

1) medium incident air n₁ = 1 medium transmitted n₂ = 1.473

            sin θ₂= [tex]\frac{n_1}{n_2}[/tex] sin θ₁

            sin θ₂ = 1/1,473   sin 30

            θ₂ = sin⁻¹ 0.3394

            θ₂ = 19.8º

2) medium incident glycerin θ₁ = 19.8, medium transmitted diamond θ₂=2.419

            sin θ₂ = 1.473/2.419     sin  19.8

            θ₂ = sin⁻¹ 0.2067

            θ₂ = 11.9º

3) half incident diamond θ₁ = 11.9º, half transmitted quartz n₂ = 1.458

             sin θ₂= 2.419/1.458    sin 11.9

             θ₂ = sin⁻¹ 0.3429

             θ₂ = 13.8º

4) half incident quartz θ₁ = 13.8, medium transmitted air n₂ = 1

             sin θ₂ = 1.458/1    sin 13.8

             θ₂ = sin⁻¹ 0.3467

             θ₂ = 20,4º

b) we look for the speed of lightning in each medium

air             v = c = 3 10⁸ m / s

glycerin    v = c / n

                v = 3 108 / 1,473

                v = 2,037 10⁸ m / s

diamond  v = 3 108 / 2.419

                 v = 1.24 10⁸ m / s

quartz      v = 3 108 / 1.458

                v = 2.06 10⁸ m / s

c) the wavelength in each medium

air         λₙ = λ₀/ n

            λₙ = 600/1

            λₙ 600 nm

glycerin    

            λₙ = 600 / 1,473

            λₙ = 407.3 nm

Diamond

            λₙ = 600 / 2.419

            λₙ = 248.0 nm

quartz

            λₙ = 600 / 1.458

            λₙ = 411.5 nm

Hence, the ladder top to touch ground the ladder base should pull back a distance of ( 6 - 3 ) = 3 meters on ground As the rate of sliding of base of ladder is 0.5 meter per second , it takes a time of [  3/ (0.5) ] = 6 seconds.

What is Distance? Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Distance measures length. For example, the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

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Answer:

speed

Explanation:

Answer:

Velocity

Explanation:

Velocity is km/s

The time taken by the object to hit the ground is 1.8 seconds.

The attraction that draws two objects together is known as gravitational force, sometimes referred to as gravity. Every mass-containing object pulls on nearby things gravitationally in a sizable way.

The time it takes for an object to hit the ground after being dropped off a cliff can be calculated using the formula:

t = √(2*d/g)

where t is the time, d is the distance fallen, and g is the acceleration due to gravity.

In this case, we don't know the distance fell, but we can use the horizontal velocity and time of travel to find it:

d = v * t

where v is the velocity (6 m/s), and t is time (3 seconds)

d = 6 * 3 = 18 m

Now we can use the distance fallen to calculate the time it takes to hit the ground:

t = √(2*d/g)

g is approximately 9.8 m/s^2

t = √(2*18/9.8) = √ (3.6) = 1.8 seconds

So, it takes 1.8 seconds for the object to hit the ground after traveling horizontally off a cliff at 6 m/s for 3 seconds.

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The weight of the book and your lifting power will be the only two forces operating, assuming that air resistance is minimal (gravity).

The book's displacement was x=(2.3-0.75)m=+1.55m.

The book weighs W= m(-g)= 2.0 kg(-10N/kg)= 20 N.

Therefore, the weight's work (energy delivered by the weight) is equal to W.x (-20N).

(+1.55m) = -31 Nm =-31 J.

This outcome, -31J, demonstrates that the weight caused the rising book to lose 31J of kinetic energy, increasing the gravitational potential energy of the book.

You lifted the book, which gave it kinetic energy from the chemical energy stored in your muscles. The weight is thereby decreasing the kinetic energy of the book while the lifting force from you increases it.

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Answer:

Electromagnetic energy

Answer: Sound wave diffracts more.

Explanation: Width of gap d  is smaller than wavelength λ of the gap.

You can estimate it from  equation  d sin α = n λ

The constant n is order of diffraction, n = 0,1,2,..

sin α = n λ / d   is greater when  λ/d is greater.

Sound wave will tend diffract more through a narrow gap that is about 1 centimeter wide.

Diffraction is the spreading of waves around obstacles. Diffraction takes place with sound; with electromagnetic radiation, such as light, X-rays, and gamma rays; and with very small moving particles such as atoms, neutrons, and electrons, which show wave like properties.

d sin α = n λ

Width of gap d  is smaller than wavelength λ of the gap.

The constant n is order of diffraction, n = 0,1,2,..

sin α = n λ / d

Diffraction is greater when  λ/d is greater.

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Answer

Atmosphere is not required in some world

Answer:

In the medium where the angle of incedence is 10°

Explanation:

This is because angle of incedence is directly proportional to refractive index of a medium.

Since refractive index is inversely proprtional to speed of light in medium, it will be the case.

The position of the particle is zero because the velocity is zero for the particle. 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 and the position of the particle is zero because the velocity is zero for the particle.

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Answer:

Seafloor spreading is a geologic process in which tectonic plates—large slabs of Earth's lithosphere—split apart from each other. ... As tectonic plates slowly move away from each other, heat from the mantle's convection currents makes the crust more plastic and less dense

Explanation:

hope it helps stay safe

Answer:

Magma comes out of the rift valley.

Magma cools to rock and hardens.

Rock is pushed away as new rock is formed at MOR.

Oceanic crust and continental crust meet at the trench.

Oceanic crust bends down under the continental crust.

Gravity pulls rock towards mantle.

Rock melts to mantle.

Explanation:

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The acceleration is 3 [tex]m/s^2[/tex] when a block with a mass of 5 kg is pulled with a force of 15 n.

The block will experience a net external force of 15 N due to the frictionless surface it is kept in place on.

The block weighs 5 kg.

F = m × a

There is a net external force (F), mass (m), and acceleration acting on the object in this situation (a).

Using the appropriate values in place of F and m:

15 = 5 × a

15/5 = a

3=a

Taking 5 as a factor, we get 3 = a.

As a result, a 5-kilogram item is drawn over a friction less surface with an acceleration of 15 N is 3 m/s².

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Answer:

6m/s

Explanation:

formula used; S= d/t

the "7th Street"doesn't matter it's just apart of the scenario. The only thing that matters is the distance and time which we have. the speed in seconds is 6. I had the same question on my phsyics quiz lol.

The magnitude of the passenger's acceleration as she passes through the lowest point in her circular motion is the centripetal acceleration.

This is given by the equation a = v^2 / r, where v is the velocity of the passenger and r is the radius of the circle. Therefore, the magnitude of the passenger's acceleration is equal to the square of her velocity divided by the radius of the circle.

For example, if the passenger is travelling at 10 m/s in a circle with a radius of 5 m, then her centripetal acceleration would be 10^2 / 5 = 20 m/s^2.

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The horizontal displacement of the cannonball  is  65.75 meter.

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

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Answer:

350.72 m/s

Explanation:

Formula for velocity of wave is;

v = fλ

Where;

v is speed

f is frequency

λ is wavelength

We are given;

f = 512 Hz

λ = 0.685 m

Thus;

v = 512 × 0.685

v = 350.72 m/s

The reason why a yellow colored object looks white in a dimmed light or low intensity of light the colors wavelength have the colors more farther it means it's getting more dimmed.

The wavelengths of sound waves are similar to the size of objects around you, but the wavelength of light waves are much shorter. As a result, you can hear people talking in a room with an open door even though you can’t see them.

The amount of diffraction or bending of the wave depends on the size of the obstacle the wave encounters. If the size of the obstacle is much larger than the wavelength, very little diffraction occurs. Then there is a shadow behind the object where there are no waves.

As the wavelength increases compared with the size of the obstacle, the amount of diffraction increases. The amount of diffraction is greatest if the wavelength is much larger than the obstacle.

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