The mass of the Sun is 1. 99 × 1030 kg. Jupiter is 7. 79 × 108 km away from the Sun and has a mass of 1. 90 × 1027 kg. The gravitational force between the Sun and Jupiter to three significant figures is × 1023 N.

a) The expression to determine the velocity of cart A is [tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex].

b) The expression to determine the velocity of cart B is

[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex].

c) The final velocity of the carts after the collision is [tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex].

d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together.

In this question we shall apply principle of energy conservation and principle of linear momentum conservation to model an inelastic collision between two carts.

a) The combination of cart and ramp can be considered a conservative system as there are no non-conservative forces (i.e. friction), the final velocity of cart A ([tex]v_{A}[/tex]) is related to the change in gravitational potential energy:

[tex]\frac{1}{2}\cdot M\cdot v_{A}^{2} = M\cdot g \cdot 2\cdot H[/tex] (1)

Now we clear [tex]v_{A}[/tex] and simplify the resulting expression:

[tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex]

The expression to determine the velocity of cart A is [tex]v_{A} = 2\cdot \sqrt{g\cdot H}[/tex]. [tex]\blacksquare[/tex]

b) We apply the same approach used in part b) to find the final velocity:

[tex]\frac{1}{2}\cdot (2\cdot M) \cdot v_{B}^{2} = (2\cdot M)\cdot g \cdot H[/tex] (2)

Now we clear [tex]v_{B}[/tex] and simplify the resulting expression:

[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex]

The expression to determine the velocity of cart B is

[tex]v_{B} =\sqrt{2\cdot g\cdot H }[/tex]. [tex]\blacksquare[/tex]

c) The final velocity ([tex]v[/tex]system is determined by principle of linear momentum conservation:

[tex]3\cdot M\cdot v = M\cdot 2\cdot \sqrt{g\cdot H}-2\cdot M\cdot \sqrt{2\cdot g\cdot H}[/tex]

[tex]3\cdot v = 2\cdot (1-\sqrt{2})\cdot \sqrt{g\cdot H}[/tex]

[tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex]

The final velocity of the carts after the collision is [tex]v = \left(\frac{1-\sqrt{2}}{3} \right)\cdot \sqrt{g\cdot H}[/tex]. [tex]\blacksquare[/tex]

d) The collision is inelastic since a part of the energy of the entire system is lost when they stick together. [tex]\blacksquare[/tex]

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Answer:

the mass will move to the right

Explanation:

it is asking for the centre of mass of the block and triangle since the block is moving down toward the right the mass will change to move right

Answer:

Kangaroo should be the answer.

Answer:

Kangaroo So there's your answer

Explanation:

Their numbers became so large that they destroyed crops and land, leading to soil erosion. They also negatively affected agriculture and plants by overgrazing. Not only did the rabbits wreak havoc on Australian croplands, but they also contributed to the decline of native plant and animal species.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Correct choice is A

It reduces the total amount of work needed to lift a refrigerator

S = Distance/ Time

= m/s

Same for velocity but instead of distance displacement takes place

S = Displacement/ Time

= m/s

Answer:

First Condition of Equilibrium is that it must be experiencing no acceleration or the external forces acting on the body should be zero.

Answer:

First Condition of Equilibrium :

The net force in all direction must be zero

         Sum of all force = 0  or  net F = 0

Explanation:

Examples :

Answer:

-5.3 m

Explanation:

Consider north to be the positive direction, and south to be the negative direction. Adding up the displacements gives

(+2.1m) + (-7.4m) = 2.1 - 7.4m = -5.3m (southward direction)

This makes sense because if he travels 2.1 m north, then 7.4 south, he would end up south of where he started because he passed 2.1 m and went further

A convex mirror is a hollow spherical is divided into pieces the exterior surface of each cut portion is painted. The image of the plant has real, inverted, and smaller image characteristics.

When a hollow spherical is divided into pieces and the exterior surface of each cut portion is painted, it forms a mirror, with the inner surface reflecting the light.

A concave mirror is a name for this sort of mirror. An enlarged and fake image is caused when the concave mirror is positioned too near to the object.

When the distance between the item and the mirror is increased, however, the size of the image decreases, and a true picture is generated. The picture created by the concave mirror may be manipulated.

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Answer:

Real, Inverted, Smaller.

Explanation:

Just got right

Answer:

D) Change "decreases distance" to "increase distance" in the description of an inclined plane.

Explanation:

Sorry I'm late to answer your question!

ଘ(੭ˊᵕˋ)੭* ੈ✩‧₊˚

I did the quiz on edge recently

Based on the data provided;

Elastic collisions are collisions in which both energy and momentum is conserved.

Inelastic collisions are collisions in which only momentum is conserved but a decrease in the energy ofthe system occurs.

Applying the law of conservation of energy and the principle of conservation of momentum;

a. the kinetic energy, hence, the final velocity, v, of cart A is related to the change in gravitational potential energy

1/2mv^2 = mgh

v = 2√gh

b. the kinetic energy, hence, the final velocity, v, of cart B is related to the change in gravitational potential energy

1/2mv^2 = mgh

v = 2√gh

c. From the principle of conservation of linear momentum, momentum before and after collision is conserved.

Let the final velocity be v

3M × v = M × 2√gh - 2M × 2√gh

3v = 2(1 - √2) ×√gh

v = {(1 - √2/)3} ×√gh

d. Since the two cars stick together after collision, the collision is inelastic collision.

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Mechanical advantage is defined as the ratio of output load to the input load. The mechanical advantage of the machine will be 0.1.

Mechanical advantage is a measure of the ratio of output force to input force in a system,

It is used to obtain the efficiency of forces in levers and pulleys. It is an effective way of amplifying the force in simple machines like levers.

The theoretical mechanical advantage is defined as the ratio of the force responsible for the useful work in the system to the applied force.

Given

applied force = 250 N

Output force = 25

Mechanical advantage = work output / work input

[tex]\rm{Mechanical advantage}=\frac{F_O}{F_I}[/tex]

[tex]\rm{Mechanical advantage}=\frac{25}{250}[/tex]

[tex]\rm{Mechanical advantage}=0.1[/tex]

Hence the mechanical advantage of the machine will be 0.1

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Answer:

The object will have a constant acceleration.

Explanation:

F = ma, a = F/m, F amd m are both constant, so a = constant.

Answer:

A

sound waves are longitudinal waves with the oscillation parallel to the direction in which energy is transferred

A longitudinal wave with the oscillation parallel to the direction in which energy is transferred is the correct. Therefore option A is correct option.

Electromagnetic wave are the wave that contains both electric wave and magnetic wave. These two waves are perpendicular to each other. There are two kinds of this wave, one is longitudinal wave and transverse wave.

When movement of particles of wave move parallel to the direction of wave propagation. To go in parallel direction, there is two way one is in the direction of propagation or anti to the direction of propagation. Transverse is the wave in which wave particle travel perpendicular to the direction of propagation.

The wave that is present in the sound wave is the longitudinal wave.  A longitudinal wave with the oscillation parallel to the direction in which energy is transferred. Therefore option A is correct option

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Answer: The motion of the earth around the sun in its orbit is known as revolution. The earth takes 365.26 days to complete one revolution. The different seasons we experience in a year are a result of this revolution. At the same time, the earth's motion about its own axis has termed the rotation of the earth.

Explanation:

Answer:

So sorry I found the answer a while ago but forgot!

Explanation:

Answer:

In Newton’s first law, an object at rest remains at rest until an external force isapplied. When I play soccer, the soccer ball will be at rest on the field (the initial condition) andremain in that spot on the field until I kick it (my muscles applying an external force to the ball).According to Newton’s second law, force = mass x acceleration (F=ma). When I kick the resting soccer ball, which has a given mass, it will accelerate in the direction that I kick it. From the equation, acceleration = force divided by mass. Therefore, since the mass of the soccer ball is fixed, the stronger my leg is and the more force I can apply to the ball, the faster it willaccelerate.According to Newton’s first law, an object in motion remains in motion until an external force isapplied. After I kick the soccer ball, it will continue in motion in the direction that I kicked it,but its acceleration will gradually slow down due to the external forces of friction from the airand the surface of the field. According to Newton’s third law, for every action there is an equal and opposite reaction.When I kick the soccer ball forward, if I also kick it in an upward direction, such as a thirty-degree angle from the field, it will come down at an angle when it strikes the field. When theball lands and strikes the field, there will be an equal and opposite reaction whereby instead oftraveling downward it will bounce of the surface of the field and will then be travelling upward.

Regardless of where the cars are in the loop, centripetal force is always directed toward the center of rotation. So even if a car you're riding in is at the top of a loop, upside-down, you will feel pressed into your seat.

Answer:

m g sin theta = force of object along incline due to gravity

N μ = frictional of incline on object where N is the normal force

N = m g cos theta     force perpendicular to incline

m g sin theta = N μ = μ m g cos theta

μ  = tan theta = tan 38 = .78

Answer:

The magnitude or strength of an electric field in the space surrounding a source charge is related directly to the quantity of charge on the source charge and inversely to the distance from the source charge. The direction of the electric field is always directed in the direction that a positive test charge would be pushed or pulled if placed in the space surrounding the source charge.

Explanation:

I really hope this helps you!

The rank for the strength of electric field can be given as D>B>E>C>A. The amplitude or intensity of such an electric field inside the region around a source charge is proportional to the amount of charge.

Electric field lines are a paper representation of electric field lines. These are drawings that employ lines and arrows to illustrate electric fields surrounding charged objects, making them highly useful in understanding field intensity and direction.

The amplitude or intensity of such an electric field inside the region around a source charge is proportional to the amount of charge just on source charge as well as inversely proportional to the distance first from source charge. The rank for the strength of electric field can be given as  D>B>E>C>A.

Therefore, the rank for the strength of electric field can be given as  D>B>E>C>A.

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The magnifying glass represents one of the simplest, most direct applications of a converging lens. As light enters the lens, it becomes focused to a specific focal point in front of the center of the lens. Once you bring the magnifying glass to the optimal distance, so the focal point reaches the object, the object will appear at maximum magnification. Move the glass farther from the object and it will become distorted; move the glass closer to the object and it will decrease in magnification.

Divergent lenses are used on flashlights to magnify the light produced by the bulb. The light falls on the concave side of the lens, and the rays diverge on the other side, thereby increasing the apparent radius of the light source and providing a wider beam.

Answer:

erosion

Explanation:

because i just got it right on study island

Answer:

about 13.8 billion years old

Answer:

Balanced forces are equal and opposite in direction, they act on the same body. The net force due to these forces is zero.

Explanation:

Answer:

Balanced forces are equal and opposite in direction, they act on the same body. The net force due to these forces is zero.

Answer: A. The amount of water releases into streams and rivers will increase.

When the mass of the object decreases, the potential and kinetic energy of the object also decreases.

Kinetic energy is the energy due to the motion of an object while potential energy is the energy due to rest of an object.

The kinetic and potential energy are calculated as follows:

Therefore, when the mass of the object decreases, the potential and kinetic energy needed to make it move or be at rest respectively also decreases.

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Answer:

4500 N

Explanation:

We have,

• Mass, m = 1500 kg

• Acceleration, a = 3 m/s²

We have to find force required, F.

[tex]\longrightarrow[/tex] F = ma

[tex]\longrightarrow[/tex] F = 1500 × 3 N

[tex]\longrightarrow[/tex] F = 4500 N (Answer)

Answer:

The answer is the kinetic energy of sled B after it crash is 6439j.

Since the focal length of the lens is 35 cm, at a distance of 35 cm from the lens, no image is formed.

Lenses are portions of a transparent medium bounded by two curved surfaces or one curved surface and one plane surface.

Lenses are used to produce images of an object on. screen.

The images produced may be real or virtual.

For diverging lenses, images produced are always virtual.

For a converging lens, images produced may be virtual or real.

However, when an object is placed exactly at the focal length of a lens, no image is produced.

Therefore, the distance X when no image will be produced in the lens is the focal length of the lens, 35 cm.

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Answer:

diabetes,because you eat same food everyday you don't have other vitamins