Lucy is cruising through space in her new spaceship. As she coasts along, a tiny spacebug drifts into her path and bounces off the window.

Consider several statements concerning this scenario. Evaluate each statement according to the law of momentum conservation and match it to the appropriate category.

The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.

The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;

I₁ω₁ = I₂ω₂

where;

Initial moment of inertia of the rod is calculated as follows;

I₁ = ¹/₃ML²

where;

I₁ = ¹/₃ x 1.4 x (1.2²)

I₁ = 0.67 kgm²

Final moment of inertia of the rod is calculated as;

I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)

I₂ = 0.69 kgm²

I₁ω₁ = I₂ω₂

0.67(0 + 35.5/1.2) = 0.69ω₂

19.82 = 0.69ω₂

ω₂ = 19.82/0.69

ω₂ = 28.7 rad/s

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Answer:

You can only stop (or start) your body moving through space if you can cause an external force to be applied to it.

Explanation:

Explanation:

According to newton's second law.

The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.

We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)

Here, the force experienced by the car is ⇒ F = 10 N

If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)

The mass of the car is ⇒ m = 2 kg (iii)

Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2

a = 10 m/s²

Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.

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For one length of wire the potential difference across the wire was 1.68 V . The current in the wire was 0.70 A . The resistance of the of this length of wire will be 2.4 ohm

using ohm's law

V = IR  

I = current

R = resistance

R = V/I

  = 1.68 / 0.70 = 2.4 ohm

The resistance of the of this length of wire will be 2.4 ohm

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Answer:

Formula

Resolve:

Hope this helped

Hello..!

We first apply the data to the problem.

Data:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

The speed is 2 meters per second.

Answer:   Relative Atomic Mass

Explanation:   The closer the element is to the bottom-right corner, the higher the relative atomic mass. Hydrogen has the lowest relative atomic number at 1, whereas Lawrencium has the highest relative atomic mass at 262.

The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.

The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.

All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force

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The following actions will help people in Cape Town to lessen the water shortage problem.

A drought is described as a moisture deficit relative to the average water availability at a given location and season. A drought is also defined as drier than normal conditions.

Water shortage is becoming an increasing threat in Cape town because of climate change impacts which includes changing rainfall patterns and rising temperatures and increasing water demand.

In summary, the city of Cape town can develop engineering dams and 'importing' water through inter-basin transfer schemes to help in fighting drought.

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The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.

Velocity- The rate of change of displacement is the definition of velocity.

The formula below is used to determine the cannon ball's initial velocity.

Formula:

v² = u²+2gH......... Equation 1

Where:

v = Final velocity

u = Initial velocity

H = Height

g = Acceleration due to gravity.

From the question,

Given:

v = 0 m/s (At the maximum height)

H = 4.75 m

g = 9.8 m/s

Substitute these values into equation 1

0² = u²+2×9.8×4.75

u² = 93.1

u = √(93.1)

u = 9.65 m/s

Hence, the initial velocity of the cannonball is 9.65 m/s.

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Correct option is B)

Power with which crane lifts the load =0.8×0.9 × input power

P=0.8×0.9×200 kW

Now, P=

F

.

v

Here, F=mg (since there is no acceleration)

10

3

×0.8×0.9×200=3.6×10

3

×10×v

⇒v=4 m/s

Explanation:

resultant motion = √x² + y²

this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.

hope it helps. :)

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

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It take 3.03 sec long to the rocket to reach an altitude of 9.0* 10^3.

What is altitude?

Altitude is the height of an object or point in relation to sea level or ground level.It is the apparent height of  celestial object above the horizon, measured in angular distance.

Sol-A sign simply indicates multiplication operation.

As per the question we have given- a=accelaration =-2*101=-202m/s^2

(We use negative sign here because it opposes the gravitational force)

d= distance/altitude =9*103= 927 meters

V= initial velocity= 0 m/s

T = Time substituting,927=3.03 second.

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Answer:

it gets hot

Explanation:

because you are rubbing it hard

Answer:

See below

Explanation:

Here are a couple of options..... one where the object slows to a rest and the other where the object stops to a rest instantaneously

Answer:

no coaster car does not travel as high

The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).

Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.

Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.

A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.

One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.

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Answer:  The correct answer is Agriculture Operations

Explanation:  This answer has been confirmed correct.

Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.

800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.

The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.

The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.

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If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period  equals the change in velocity during that time period.

Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.

During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.

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A power plant generator does easily generate alternating current and not direct

current simply because the AC current is far cheaper to produce.

The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.

So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.

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Answer:

10m/s2

Explanation:

250/25=10

Convection is the method which occurs in a refrigerator

Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.

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1 ) Resultant force if the forces act in the same direction = 41 N

2 ) Resultant force if the forces act in the opposite direction = 9 N

3 ) Resultant force if the forces act at right angles to each other = 29.68 N

F1 = 16 N

F2 = 25 N

1 ) If the forces act in the same direction,

F = F1 + F2

F = 16 + 25

F = 41 N

2 ) If the forces act in the opposite direction,

F = F2 - F1

F = 25 - 16

F = 9 N

3 ) If the forces act at right angles to each other,

F² = F1² + F2²

F² = 16² + 25²

F² = 256 + 625

F² = 881

F = 29.68 N

Therefore,

1 ) F = 41 N

2 ) F = 9 N

3 ) F = 29.68 N

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The magnetic flux through the coil is determined as 25.2 Tm².

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.

The magnetic flux through the coil is calculated using the following formula.

Ф = BA cosθ

where;

A = πd²/4

where;

A = π(13)²/4

A = 132.73 m²

Since the coil is parallel to the magnetic field, θ = 0

Ф = BA cosθ

Ф = 0.19 T  x  132.73 m² x cos(0)

Ф = 25.2 Tm²

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Answer:

4870 N

Explanation:

Since he is not accelerating

  the force is equal to his weight    mg  = 487 * 10 = 4870 N

Radiation is correct answer.

What is radiation?

Radiation is energy that moves through space at the speed of light from a source. This energy is coupled with an electric and magnetic field, and it has wave-like qualities. Radiation is sometimes known as "electromagnetic waves."

UV rays, which can be fatal, are readily avoided by covering oneself. The visors are coated to reflect UV, while the suit's opaque layers take care of the rest. On the other end of the spectrum, x rays and gamma rays are difficult to shield—here is where lead comes in, but there isn't enough of this type of radiation to justify the added weight. A radiologist's lead apron can weigh 10-15 kg, so filling the entire suit with this thickness of lead would add at least 25-40 kg to an already large and heavy suit. The material of the suit absorbs some of the radiation, although this is not the greatest danger to astronauts.

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According to particle model of light, speed of light decreases as it enters a optically denser medium.

Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:

where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.

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Electrons will move in anti- clockwise direction in the coil when the south end of the magnet goes through the coil

If you flip the magnet to bring its south pole towards the coil, the current flows in the direction that produces a magnetic field whose south pole faces the magnet . And as we know that , in south pole of the coil , the current will move in clockwise direction . Hence , electrons will move in anticlockwise direction because electrons move in opposite direction of the current .

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