A 30 kg object is moving along with the velocity given below. Find the momentum vector, as well as the magnitude of the momentum. v=5i-2j

The car can travel before coming to a stop is about 26.66seconds.

Any process that causes a change in velocity is referred to as an acceleration. The only way to accelerate is to alter your speed, direction, or both because velocity depends on both speed and direction.

Acceleration is measured in metre per second per second (m/s2). Definition. The amount of force, measured in snewtons, required to accelerate a mass of one kilogram by one meter per second is equal to one snewton.

Given,

v = 40 km/h

a =  1.5 m/s²

t = v/a

t = 40/1.5

t = 26.66seconds

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The angle at which a ray of light strikes a pane of glass (perspective of occurrence) is the same as the angle at which it passes out the opposite side.

If the angle of refraction in the air becomes 90°, the attitude of prevalence inside the glass is called the crucial attitude; if the perspective of incidence in the glass is extra than the vital angle, overall internal reflection occurs.

A light ray in the air is incident on an air-to-glass boundary at an attitude of forty-five. zero levels and is refracted in the glass of 30. zero degrees with the regular. This 'bending of a ray of light when it passes from one substance into some other substance is referred to as refraction. The bending of a ray of light also happens when the ray comes out of glass or water and passes into the air.

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a) 1890 N sec impulse is applied to the driver by the seatbelt .

b) the average force applied to the driver by the seatbelt is 24.23 N

What is impulse ?

In classical mechanics, momentum (symbolized by J or Imp) is the integral of force F over the time interval t over which the force acts. Since force is a vector quantity, momentum is also a vector quantity. The SI unit of momentum is the Newton second (N s), and the dimensional equivalent unit of momentum is the kilogram meter per second (kg m/s). The equivalent British engineering unit is pound second (lbf⋅s), and in British gravitational systems the unit is slug feet per second (slug⋅ft/s). A resultant force causes an acceleration and a change in the velocity of a body as long as the body is acting on it. Therefore, a net force applied over a long period of time produces a larger change in linear momentum than the same force applied for a short period of time.

The change in momentum is equal to the average force multiplied by the duration. Conversely, a small force applied for a long period of time produces the same change in momentum (same momentum) as a large force applied for a short period of time.

A)

Impulse, J = mv

J = 70 x 27

J = 1890 N sec

B)

Average force, F = 1890/(1.3 x 60) = 24.23 N

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The moment of  inertia of i is [tex]x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})[/tex]

To find the moment of inertia can be determined as follows:

First we need to identify the given data

[tex]m_{1}[/tex] = the mass of sphere 1

[tex]m_{2}[/tex] = the mass of sphere 2

[tex]m_{r}[/tex] = the mass of the rod

[tex]x[/tex] = the distance between sphere 1 and pivot

[tex]x[/tex] = the distance between sphere 2 and pivot

[tex]2x[/tex] = total length of the rod

Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod

[tex]I = mr^{2}[/tex].....(1)

[tex]I = \frac{ml^{2} }{12}[/tex]......(2)

Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2

[tex]I_{1} = m_{1} x^{2}[/tex]

[tex]I_{2} = m_{2} x^{2}[/tex]

Substitute the values in equation 2 for moment of inertia of the rod

[tex]I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}[/tex]

The total moment of inertia can be determined as

[tex]I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})[/tex]

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Answer:

From psychology

It comes from bypassing the prefrontal cortex

So yes, The answer will be C.

The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.

What is u.s. armed force?

The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.

How many army forces are present in the u.s. armed force?

The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.

As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.

Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.

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Answer: 360000 kilograms

Explanation: Just have to multiply 2400 by 150 for your answer

Lifting a 365-kg piano to a window on the sixth floor will require a 3500-w motor in 17.6 seconds. In a motor, electrical energy is transformed into mechanical energy.

According to estimates, motors use close to half of the energy utilized worldwide. An electrical device known as a DC motor transforms electrical energy into mechanical energy. Direct current, which is used as an electrical energy source in a DC motor, is converted into mechanical rotation.

P= 3500 W m = 350 h = 18m for Data Part A given.

Energy needed is known to be mah,

which is 350 x 9.8 x 18 J, or 61 74 0 J.

As it also known, Power = Energy/Time.

Time = Energy/Power = 61740/350 0 T = 17. 64S

Time taken therefore equals 17.6 seconds.

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a)A ball is thrown at an angle of 40 degrees, the ball reach the height  is 8.24m

b)Time taken by the ball in the air is 2.620 s.

c) far form the edge of the building will it land is 86.24m.

a) Maximum height is given as :

H = (v₀ sinθ)²/2g

H = (20 x 0.642)²/(2 x 9.8)

H = 8.24m

b) Time taken by the ball :

T = 2v₀ sinθ/g

T = (2x 20 x 0.642)/9.8

T = 2.620 s

c) far form the edge of the building will it land:

range is calculated as :

R = v₀ sin2θ/g

R = (20 x 0.022)/9.8

R = 86.24m

a)A ball is thrown at an angle of 40 degrees, the ball reach the height  is 8.24m

b)Time taken by the ball in the air is 2.620 s.

c) far form the edge of the building will it land is 86.24m.

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The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called domain

A magnetic domain is a region  in which the magnetization is in a same  direction or it can be said that , domain is that region in which  the individual magnetic moments of the atoms are aligned with one another and  point in the same direction. The alignment of magnetic moment in same direction constitutes  a domain

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A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.

The redirection of a wave as it travels through one medium and into another is called refraction. Changing the medium or the wave's speed can both result in redirection.

According to Snell's law, the ratio of the sines of the angle of incidence (display style "theta 1" and "theta 2") and angle of refraction (display style "theta 2") for a given pair of media is equal to the refractive index of the second medium relative to the first (n21), which is equal to the ratio of the refractive indices (n2/n1) of the two media, or alternatively, to the ratio.

Hence, A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.

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Answer: 1.2381 m/s

Explanation:

vf=vi + at

11.9 = 3.58 + a(6.72)

8.32 = a(6.72)

1.2381 m/s = a

Tech A's point is correct as Tech A says that one advantage of distributor less ignition systems is no moving parts to maintain.

Ignition system have following merits:-

Less voltage loss, from the coil to the plug.

However with fewer connections and the elimination of the distributor rotor to cap air gap.

So, the evolution of ignition systems, has provided a number of merits.

As a result, drivers driving with newer systems enjoy better fuel efficiency; infact more reliable operation with reduced maintenance costs.

The position sensors, are equipped with a magnetic coil, generating a magnetic field. So, when the gap of a triggering wheel, comes in front of the position sensor; a fluctuation in the signal is likely to occur. These signals then stop or start, the flow of current, to the primary winding of the coil cannot be tested with voltage measuring device.

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The distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] For 2.4 seconds after the acceleration is 3.456 meters.

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Even though the speed is constant, motion on a circle increases because of the constant change in direction.

Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity.

Given:

The initial acceleration, a = 1.2 [tex]m/s^2[/tex],

The time, t = 2.4 seconds,

Calculate the distance by the following formula,

[tex]s = u * t + 1 / 2 * a * t^2[/tex]

Here s is the distance.

Substitute the values,

s = 0 * 2.4  + 1 / 2 * 1.2 *[tex]2.4^2[/tex]

s = 3.456 meters

Therefore, the distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] for 2.4 seconds after the acceleration is 3.456 meters.

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A. was dormant and is now active

Explanation:

Quiet and extinct are not the words to describe a volcano that has not erupted in a very long time. Those are called dormant. When they are starting  to heat up, steam, or erupt, they are now active.

" I hoped i helped you, Chancey : - ) "

Answer:

Almost explosive I guess

Assuming that g, the gravity's acceleration, is 9.81 meters a second per sec. Driver N travels at a speed of 22.1594 m/s.

Concussion, impact, or shock are a few popular alternatives to the word collision. All of these terms refer to "a forceful, even violent touch among two or more things," but collision denotes the coming all together two or more things so violently that both or all of them sustain damage or have their progress significantly hampered.

When particles, collections of particles, and solid entities travel in the same direction and get close enough to one other, they collide and exert mutual force.

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switches that support a(n) SFP port transceiver can connect a variety of gigabit types.

A gigabit switch is a type of network switch which is typically Ethernet based, that allows devices to be connected to a LAN at speeds of 1 Gbps or higher. An SFP port or small form factor pluggable port on a network device is a slot where SFP transceivers are connected and it allows gigabit switches for connecting to a variety of Ethernet and fiber cables for extending the functionality of switching through the networks.

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The angle at which the light ray hits the glass plate (angle of incidence) is equal to the angle at which it emerges from the opposite side.

The angle of incidence is equal to the reflected angle through the law of reflection

The angle of incidence is the angle between a ray on a surface and the line perpendicular to the surface at the point of incidence. The light beam chooses the shortest path to the target, so the angle of incidence is equal to the angle of reflection. This behavior of light is known as Fermat's principle. Rays behave similarly when reflected from flat surfaces. Therefore, the angle of incidence and the angle of reflection are the same

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The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.

A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.

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Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.

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The final speed when the car slides to the top of a 20 m hill is 22.23 m/s.

This question is answered by the law of conservation of mechanical energy, as follows:

        Ep₁ + Ek₁ = Ep₂ + Ek₂

mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂²

Where:

In the problem, it is stated that the speed on a flat road is (v₁ = 45 m/s) because it is on a straight road with a height (h₁ = 0). Then the car goes up the hill with the height of the hill (h₂ = 20 m). So what is being asked is the final velocity when the car goes up the hill (v₂ = ?).

mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂² (both sides divided by mass)

gh₁ + 1/2v₁² = gh₂ + 1/2v₂²

10*0 + 1/2(45)²  = 10*20 + 1/2v₂²

0 + 1012.5 = 20 + 1/2v₂²

1/2v₂² = 1012.5 - 20

1/2v₂² = 992.5

     v₂² = 496.25

     v₂  = [tex]\sqrt{496.25}[/tex]

     v₂  = 22.23 m/s

So, the final velocity when the car goes up the hill is 22.23 m/s.

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Answer:

I believe the hare (option d)

Explanation:

Momentum is an objects mass multiplied by its velocity

Answer:

Explanation:

a)

p₁  =  m₁·V₁ = 100·1.0 = 100 kg·m/s

b)

p₂  =  m₂·V₂ = 300·0.5 = 150 kg·m/s

c)

p₃  =  m₃·V₃ = 2·7 = 14 kg·m/s

d)

p₄  =  m₄·V₄ = 200·7 = 1400 kg·m/s

The greatest momentum:

d) hare with a mass of 200 kg moving at a velocity of 7 m/s

p = 1400 kg·m/s

The activity that helps reduce the number one CO₂ emission in US households is wearing layers of clothing.

So the activity that helps reduce the biggest carbon-emitting activity in US households is wearing layers of clothing.

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The average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.

What are the Equations of motion?

These equation are used when the body is moving in a constant acceleration and along a straight line. The following are the three equations:

The following informations are given in the question,

u = Initial velocity of the ball = 3m/s along East

v = final velocity of the ball = 2m/s along West

t = time = 0.4 seconds

Using the 2nd equation of motion, we find the accelertaion, a of the ball-

v = u  + at

-2 = 3 + a x 0.4

-5 = a x 0.4

a = - 5 /0.4

  = - 12.50 m/s^2

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Hence, the average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.

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Using the theories of electromagnetic radiations, we got that  4×[tex]10^{4}[/tex]nm. is the  frequency of a photon of electromagnetic radiation for red light

We know very well that there is a relation between velocity of light, frequency and wavelength of light.

The relation is given by c=vλ where v is the frequency of light and λ is the wavelength of the light.

We are given for wavelength as 750nm or 750×[tex]10^{-9}[/tex]m

We, know that speed of light is =3×[tex]10^{8}[/tex]m/sec

So putting the values in formula, we get

=>3×[tex]10^{8}[/tex]=v×750×  [tex]10^{-9}[/tex]

=>v=(3/750)×[tex]10^{17}[/tex]

=>v=0.004×[tex]10^{17}[/tex]

=>v=4×[tex]10^{13}[/tex]m or 4×[tex]10^{4}[/tex]nm.

Hence, the frequency of a photon of electromagnetic radiation for red light(750nm) is 4×[tex]10^{4}[/tex]nm.

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a). Since the Perspex cloth loses electrons it gains Positive charge.

b). Since the Electrons are transferred to cloth so it gains negative charge.

Objects are charged when rubbed together, one getting a positive and the other a negative charge. This happens because of friction that occurs between the two bodies.

When you rub these two materials against each other, electrons are stripped and accumulate at both of these materials. However, since polythene rod has larger dielectric constant, it stores more charges, therefore it is always more negatively charged.

Triboelectric effect is also an interpretation to understand this mechanism of electrons.

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a) The astronaut goes to a maximum height of 5.5 feet.

b) The astronaut is off the ground for about 4.4 seconds

Describe the equations of motions?

The three equations look like this:

The first motion equation is v = u + at

The second equation of motion is s = ut + at^2 /2

The third equation of motion is v^2 = u^2 + 2as

Using Second equation of motion:

s(t) = v₀t + 1/2 at²

     = 11t + (1/2)(-5) t²

     = 11 t - 5/2 t².

On differentiating the above equation with respect to time, we have

s’(t) = 11 - 5t

Then equating the equation to 0, we find

s’(t) = 0

11 - 5t = 0

5t = 11

t = 11/5

The astronaut reaches the maximum height at time t = 11/5 = 2.2 seconds.

Therefore, the maximum height achieved by the astronaut is

s = 8(11/5) - (5/2)(11/5)²

  = 88/5 - (5/2)(121/25)

  = 88/5 - 60.5/5

  = 27.5/5

  = 5.5 feet.

The astronaut touches the ground at time t > 0 such that

s(t) = 0

11t - 5/2 t² = 0.

5/2 t² - 11t = 0

5t² - 22t = 0

t(5t - 22) = 0

t = 0 or 5t - 22 = 0

5t = 22

t = 22/5

 = 4.4 seconds

Hence,

a) the astronaut goes to a maximum height of 5.5 feet.

b) the astronaut is off the ground for about 4.4 seconds

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