help please I don't understand ​

Help Please I Don't Understand

Answers

Answer 1

The force line which shows the force of gravity that the Earth exerts on the Moon is line A.

The reason Line A is thicker than arrow B is because the Earth exerts a greater force of gravity on the Moon.

How to describe the gravity exerted ?

According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. Therefore, the gravitational force exerted by the Earth on the moon is equal in magnitude and opposite in direction to the gravitational force exerted by the moon on the Earth.

The force of gravity between two objects depends on their masses and the distance between them, so the force of gravity between the Earth and moon is proportional to their masses and the distance between them. While the moon's gravity does have an impact on the Earth, such as causing ocean tides, it is not a greater force than the Earth's gravity.

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Related Questions

A force is applied to a 1 kg mass and produces
4.1 m/s
2
acceleration.
What acceleration would be produced by
the same force applied to a 13.4 kg mass?
Answer in units of m/s
2
.

Answers

The 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.

What is acceleration ?

The pace at which speed changes is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because the direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.

What is force?

A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.

As we know that force= mass × acceleration

So F₁=m₁×4

F₂=m₂×6

now for combined system total acceleration will be "a"= F/ m₁+m₂

m₁= F/4

m₂= F/6

so put the value of m₁ and m₂

​Therefore, 2.4 m/s² acceleration would be produced by the same force applied to a 13.4 kg mass.

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help as soon u can pls! due in 45 mins!!

Which statement correctly represents a mineral?

1. any naturally forming substance made from one element

2. any chemical substance which forms naturally in the Earth

3. an element which is made into an object

4. any substance which develops in the ground

Answers

Minerals are any chemical substance which forms naturally in the Earth

Define mineral.

Minerals are those substances found in foods and in the earth that our systems require for healthy growth and development. Calcium, phosphate, potassium, sodium, chloride, magnesium, iron, zinc, iodine, chromium, copper, fluoride, molybdenum, manganese, and selenium are among the nutrients that are crucial for good health.

Compounds found only in living creatures are typically not considered minerals according to geological definitions. However, some minerals, like calcite, are frequently biogenic or, in terms of chemistry, are organic molecules (such as mellite). Additionally, living things frequently produce inorganic crystals (like hydroxylapatite), which are also found in rocks.

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Explain the risk-reduction concept of compromising among multiple risks
and give an example of its successful use.

Answers

Answer:

Risk reduction deals with mitigating potential losses by reducing the likelihood and severity of a possible loss. For example, a risk-avoidant investor who is considering investing in oil stocks may decide to avoid taking a stake in the company because of oil's political and credit risk.

Explanation:

An excited physic student is in a cart rolling down a hill at 12 m/s If the cart and student have a combined kinetic energy of 4896 J, what is the mass of the student and cart combined?

Answers

Answer:

17.0 kg

Explanation:

The kinetic energy (KE) of the system can be expressed as:

KE = (1/2)mv^2

where m is the mass of the cart and student combined, and v is the velocity of the cart.

We know that KE = 4896 J and v = 12 m/s. We can rearrange the equation to solve for m:

m = 2KE/v^2

m = 2(4896 J) / (12 m/s)^2

m = 17.0 kg

Therefore, the mass of the student and cart combined is 17.0 kg.

Identify the direction of net force. A car is driving across a flat roas ,assume no air resistance

Answers

Assuming the car is driving across a flat road with no air resistance, the direction of net force acting on the car will depend on the direction of the car's motion and the forces acting on it.

If the car is traveling at a constant velocity, then the net force acting on it is zero. This is because the forces acting on the car - such as the force of the engine, friction from the tires, and air resistance - are balanced and cancel each other out. However, if the car is accelerating or decelerating, then there is a net force acting on it. For example, if the car is accelerating forward, then the net force acting on it is in the forward direction. This is because the force of the engine pushing the car forward is greater than the opposing forces, such as air resistance and friction. Similarly, if the car is decelerating, then the net force acting on it is in the opposite direction of its motion. This is because the opposing forces are greater than the force of the engine, causing the car to slow down.

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The center grinds up plastic for recycling, but the workers forgot to label the type of plastic. The workers found that the plastic has a mass of 2.25 g and a volume of 2.5 cm. What is the density of the plastic? What type of plastic was it? JUSTIFY your answer.

Answers

Density of the plastic is 0.9 g/cm³.

The type of plastic collected are yogurt cups and plasticwares.

What is density of a substance?

Density of a substance is defined as the mass per unit volume of the substance.

Here,

Mass of the plastic, m = 2.2 g

Volume of the plastic, V = 2.5 cm³

So, density, ρ = m/V

   ρ = 2.25/2.5

   ρ = 0.9 g/cm³

Recyclable plastics are sorted on the basis of their densities. Here, the density of the collected plastic is 0.9 g/cm³. So, the plastic material must be  yogurt cups and plasticwares.

Hence,

Density of the plastic is 0.9 g/cm³.

The type of plastic collected are yogurt cups and plasticwares.

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Two equal masses placed 2m apart have a gravitational attraction of 6. 7*10-9 N compute the value of the mass ( assume,g=6. 7*10-11

Answers

For the given question value of mass=20kg. The formula for gravitational attraction between two masses is:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the masses.

Given:

F = 6.7 * 10^-9 N

r = 2 m

G = 6.7 * 10^-11 N m^2 / kg^2 (gravitational constant)

Since the two masses are equal, we can write m1 = m2 = m.

Substituting the given values into the formula and solving for m, we get:

6.7 * 10^-9 N = 6.7 * 10^-11 N m^2 / kg^2 * (m^2 / (2 m)^2) * m^2

Simplifying:

6.7 * 10^-9 N = 6.7 * 10^-11 N * m^2 / 4

Multiplying both sides by 4:

m^2 = (6.7 * 10^-9 N * 4) / 6.7 * 10^-11 N

Simplifying:

m^2 = 4 * 10^2 kg

Taking the square root of both sides:

m = 20 kg

thus, each mass has a value of 20 kg.

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HELP ASAP
Discuss how the government uses tax credits, direct payments, and deficiency payments to
subsidize renewable energy.

Answers

For eligible renewable energy technology and projects, a number of tax credits, grants, and loan programmes are offered by the federal government.

Why does the government promote the use of renewable energy sources?

Fossil fuels are burned to produce energy, which produces a sizable amount of greenhouse gas emissions that contribute to global warming. Even when taking into account the entire life cycle of the technologies, the majority of renewable energy sources produce negligible to no emissions.

Why are subsidies for renewable energy good?

Subsidies have helped reduce dependency on fossil fuels by expanding the use of renewable energy sources. This is crucial for lowering greenhouse gas emissions and preventing an increase in global temperatures.

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Help pls!!

Calculate the wavelength of a water wave with a speed of 2.3 m/s and
frequency of 5 Hz.

Answers

Answer:

The speed of a wave (v) is equal to the product of its wavelength (λ) and frequency (f), i.e., v = λf. Rearranging this equation, we get:

λ = v/f

Substituting the given values, we get:

λ = 2.3 m/s / 5 Hz

λ = 0.46 meters

Therefore, the wavelength of the water wave is 0.46 meters.

Explanation:

Answer:

The wavelength is 0.46 meters.

Explanation:

The speed of a wave is given by the formula:

v = λf

where v is the wave speed, λ is the wavelength, and f is the frequency.

We are given v = 2.3 m/s and f = 5 Hz. Rearranging the formula above to solve for λ, we get:

λ = v/f

Substituting the given values, we get:

λ = 2.3 m/s / 5 Hz = 0.46 m

Therefore, the wavelength of the water wave is 0.46 meters.

Answer the following mcq

Answers

The reason for the deflection of the compass from the magnetic north of the Earth when a current-carrying wire is placed over Magnetic effect due to current carrying wire.

What is Magnetic effect ?

Magnetic effect refers to the influence that a magnet or a magnetic field has on other magnets, magnetic materials, or moving charges. This effect is a result of the physical properties of magnetic fields, which are created by moving charges, such as electrons.

The magnetic effect is responsible for various phenomena, including the attraction or repulsion of magnets, the creation of magnetic fields around current-carrying wires, the behavior of moving charges in a magnetic field, and the generation of electricity in electric generators.

The reason for the deflection of the compass from the magnetic north of the Earth when a current-carrying wire is placed over it is option (a) - Magnetic effect due to current carrying wire.

When a current flows through a wire, it creates a magnetic field around the wire. This magnetic field can interact with the magnetic field of the Earth, causing the compass needle to deflect from its original direction. This phenomenon is known as the magnetic effect of a current-carrying wire.

Therefore, she action of connecting a battery to the wire and placing it over the compass caused a current to flow through the wire, which in turn created a magnetic field around the wire, leading to the deflection of the compass needle.

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The two elements will bond or not bond into one ratio

Answers

Ionic compounds can be created when elements from Groups 1 and 17 mix one to one ratio.

To create ionic compounds, group 1 and group 17 elements can combine one to one.

In addition, group 8A (or VIIIA) of the periodic table contains the noble gases or inert gases helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), and radon. As a result, if any elements from this group are present, they will not bond (Rn).

The name of these elements refers to how little they react with other elements or compounds. An example of bonding is, when carbon and oxygen atoms join in a 1:2 ratio, carbon dioxide is produced; when they combine in a 1:1 ratio, carbon monoxide, or CO, is produced.

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Find the angle of incidence for a ray of light passing from water into diamond when r=14°

Answers

The angle of incidence for the light ray passing from water into diamond is approximately 68.1 degrees.

What is Incidence Ray?

An incident ray is a term used in optics to describe a beam of light that is traveling towards a surface or boundary where it will be either absorbed, reflected, or refracted. When an incident ray encounters a boundary between two different media with different refractive indices, some or all of the ray's energy may be reflected back into the original medium, some may be absorbed, and some may be transmitted into the second medium.

To solve this problem, we can use Snell's law, which relates the angle of incidence and the angle of refraction of a light ray passing from one medium to another:

n1sin(theta1) = n2sin(theta2)

where n1 and n2 are the refractive indices of the two media, and theta1 and theta2 are the angles of incidence and refraction, respectively.

In this case, the light ray is passing from water (n1 = 1.333) into diamond (n2 = 2.417), and we are given that the ratio of the sines of the angles of incidence and refraction is r = sin(theta2)/sin(theta1) = 14.

n1sin(theta1) = n2sin(theta2)

sin(theta2) = r*sin(theta1)

n1/n2 * sin(theta1) = r*sin(theta1)

sin(theta1) = rn2/(n1 + rn2)

theta1 = arcsin(rn2/(n1 + rn2))

Plugging in the values for n1, n2, and r, we get:

theta1 = arcsin(142.417/(1.333 + 142.417))

theta1 = 68.1 degrees

Therefore, the angle of incidence for the light ray passing from water into diamond is approximately 68.1 degrees.

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What is the wavelength of a sound wave that has a speed of 680 m/s and a frequency of 220 Hz? (With full explanation)

Answers

Answer:

3.0909 m

Explanation:

Given,

Wave speed = 680 m/sfrequency = 220 Hz

We need to find the wavelength of sound wave :

We know that ,

[tex]{ \underline{ \boxed{ \sf{F = \dfrac{v}{\lambda}}}}}[/tex]

where,

F is frequency, v is wave speed,[tex]\sf\lambda[/tex] is wavelength

on substituting the values we get :

[tex]\dashrightarrow \sf \: 220 = \dfrac{680}{\lambda} \\ \\ \dashrightarrow \sf \: \lambda = \frac{680}{220} \\ \\ \dashrightarrow \sf \:\lambda = 3.0909 \: m\\ [/tex]

Hence,

Wavelength of sound is 3.0909 m

The gravitational potential energy of a person on a 4 m high diving board is 1800 J. What is the person's mass?

Answers

Answer:

45.9 kg

Explanation:

GPE = mgh

m = GPE / gh = (1800 J) / (9.8 m/s²)(4 m) = 45.9 kg

A _ must be replaced if it is overloaded, while a _ needs only to be reset after an overload

Answers

Answer:

s

Explanation:

With electric force, like charges ___.
A. Repel
B. Attract

Answers

With electric force, like charges repel each other. Therefore, option A is the correct answer. This is because like charges, such as two positive or two negative charges, have the same sign and will produce an electric field that points away from each other.

Why do opposite charges attract each other?

Opposite charges, such as positive and negative, will produce an electric field that points towards each other, resulting in an attractive force that brings the charges closer together.

How can you identify a positive and negatively charged body?

One can identify a charged body using a charged rod, such as a plastic rod that has been rubbed with a cloth. If you bring the charged rod close to an uncharged object, such as a piece of paper, and the paper is attracted to the rod, the rod is negatively charged. If the rod repels the paper, the rod is positively charged.

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If the device is kept reverse biased, we know that the voltage across the device will remain roughly constant at the zener voltage. If d5 is carrying a minimum current of 5ma (down) and d6 is carrying a current of 5ma (down), what is the minimum current through r1?

Answers

The minimum current through R1 will be 10mA.

Using Ohm's Law (V = IR), we can find the minimum current through R1 as follows:

Vr1 = Vz5 + Vz6

where Vr1 is the voltage across resistor R1.

Therefore, the minimum current through R1 is:

Ir1 = Vr1 / R1

Assuming that R1 is a standard value resistor (e.g., 1kΩ), and the Zener voltages are each 5V, the voltage across R1 will be:

Vr1 = Vz5 + Vz6 = 5V + 5V = 10V

Therefore, the minimum current through R1 will be:

Ir1 = Vr1 / R1 = 10V / 1kΩ = 10mA

Current is the flow of electric charge through a conductor or material. It is defined as the rate of flow of electric charge, measured in units of amperes (A). One ampere is equivalent to the flow of one coulomb of electric charge per second.

Electric current is caused by the movement of charged particles, typically electrons, in a circuit. When a voltage is applied to a conductor, it creates an electric field that causes electrons to move through the conductor. This flow of electrons constitutes an electric current.

The direction of electric current is defined as the direction of flow of positive charges, even though the actual charges that move are electrons, which are negatively charged. Electric current can be direct current (DC), where the flow of charge is in one direction, or alternating current (AC), where the direction of flow periodically changes.

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What is the SI unit for mass? Give the full name, not the symbol.
Give your answer.

Answers

Answer: The kilogram, symbol kg, is the SI unit of mass.

Explanation: It is defined by taking the fixed numerical value of the Planck constant h to be 6.626 070 15 × 10-34 when expressed in the unit J s, which is equal to kg m2 s-1, where the meter and the second are defined in terms of c and ΔνCs.

Answer: The answer is kilogram (kg)

Explanation:

Samples of differnt materials a and b have the same mass but the sample of a is higher in density which statement could explain why this is so

Answers

The constituent particles of material A are heavier than those of material B.

Why density differ -

A material with smaller, more heavy, and closely spaced atoms will have a higher density. A substance's density will decrease if its bigger, lighter atoms are separated from one another more widely.

The densities of solids, liquids, and gases are determined by the separations between the particles in each state of matter.

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The table below is missing its headings. Based upon the descriptions provided, what should "Column B be renamed?
Column A
Column B
Transverse
Transverse or Longitudinal
Does not require a medium to travel. Requires a medium to travel.
Includes visible light
Includes sound.
O Transverse Waves
O Mechanical Waves
O Electromagnetic Waves
O Longitudinal Waves

Answers

Column B should be renamed as Mechanical waves.

What are the differences between transverse and longitudinal waves ?

Transverse waves require medium to travel while longitudinal waves doesn't require a medium.

Transverse waves can be polarized while longitudinal waves cannot be polarized.

Transverse waves consists of crests and troughs while longitudinal waves consists of compressions and rarefactions.

Here,

In column B include waves that could be both transverse and longitudinal and requires a medium to travel and also it includes sound. So these are the properties of mechanical waves.

Hence,

Column B should be renamed as Mechanical waves.

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The figure shows two wave pulses that are
approaching each other.
Which of the following best shows the shape
of the resultant pulse when the centers of the
pulses, points P and Q, coincide?

Answers

Option 3 shows the shape of the resultant pulse when the centers of the

pulses, points P and Q, coincide.

What is a pulse of a wave?

A pulse of a wave is a single disturbance or vibration that travels through a medium, carrying energy without permanently displacing the medium. It is a type of wave that is characterized by a single disturbance or oscillation that travels through a medium, such as air or water, and creates a temporary disturbance in the medium's equilibrium. A wave pulse can be described by its amplitude (the height of the disturbance), its wavelength (the distance between successive peaks or troughs), and its speed (the rate at which the disturbance travels through the medium).

Q's crest amplitude = Q's Trough amplitude= P's Crest amplitude

and P's wavelength = Q's wavelength

then when you lay them on top of each other

Q's crest combines in phase with the first half of P's crest and they double where as

Q's trough combines out of phase with the second half of P's crest and they negate each other

resulting in something that looks like choice 3

Therefore, Option 3 is the correct answer.

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A person who weighs 50 N climbs 100 stairs up. Each stair is 0.2 m high. The work done is

Answers

Answer:

Explanation:

Given that ,

A man who weights is 50N climbs up 100 steps of a stair

each step is 0.2m high

mg=50N

Height at 100 steps , h=100×0.2=50 m

Change in potential energy , =mgh=50×50=2500 J

So, Work done by the man , W=2500 J

9. Because water consists of polar molecules, ___.
A. Water falls as sleet or snow when temperatures are cold.
B. Water can be attracted using a magnet
C. Water is attracted to the magnet north pole
D. Water molecules tend to stick together

Answers

Answer:

D water molecules tend to stick together.

Explanation:

a water molecule consists of 1 oxygen atom and 2 hydrogen atoms. because of the oxygen atom, this makes water electronegative, giving the hydrogen side a partial charge and the oxygen side a partial negative charge, making the water molecule polar. the oxygen is attracted to hydrogens, and the hydrogens are attracted  to oxygens creating hydrogen bonds. hence the answer is D the water molecules tend to stick together.

In your opinion, Is the big bang theory a valid explanation for the beginning of time?
If so, what areas of research do you think has the greatest possibly for more discovery?
If not, what problems in the theory leads you to reject it? What might be an alternate theory?

(please give me a good long well thought out answer)

Answers

Answer:

I believe that the Big Bang Theory is a valid explanation for the beginning of time. Areas of research that have the greatest potential for more discovery include dark matter and dark energy, the nature of the inflationary period, and the origin of the matter-antimatter asymmetry.

Problems with the Big Bang Theory that lead me to reject it include the lack of a satisfactory explanation for the origin of the initial conditions of the universe, the lack of a satisfactory explanation for the origin of the matter-antimatter asymmetry, and the lack of a satisfactory explanation for the origin of the inflationary period. An alternate theory could be the Cyclic Universe Theory, which proposes that the universe goes through an infinite cycle of expansion and contraction.

Can someone help me with these? Thanks!


Solve the following vector problems

8. A ship's maximum speed is 22km/hr to the South, What is its speed if there is also a current of 3km/hr to the South?


9. A ship's maximum speed is 22km/hr to the South, What is its speed if there is also a current of 3km/hr to the North?


10. What is your displacement if you travel 50m to the right, and then return 20 meters to the left?


11. What is your displacement if you drive 2 km North, then 4 km East, then 2 km South, and finally 4 km West?

Answers

The ship's speed relative to the ground is 25 km/hr to the South.

The displacement is zero, which means that the final position is the same as the initial position. The movements to the North and South cancel out, and the movements to the East and West cancel out.

What is velocity?

Velocity is a vector quantity that describes the rate at which an object's position changes over time.In other words, velocity is an object's speed in a specific direction. The velocity of an object is typically represented by a vector, which has both magnitude (the speed of the object) and direction.

The ship's speed relative to the water is 22 km/hr to the South. If there is a current of 3 km/hr to the South, the ship's speed relative to the ground is the vector sum of its speed relative to the water and the velocity of the current. Since the two velocities are in the same direction, we can simply add them to get:

velocity relative to the ground = 22 km/hr to the South + 3 km/hr to the South = 25 km/hr to the South.

Therefore, the ship's speed relative to the ground is 25 km/hr to the South.

Similar to the previous problem, the ship's speed relative to the ground is the vector sum of its speed relative to the water and the velocity of the current. However, this time the current is going in the opposite direction, so we need to subtract the velocity of the current from the ship's speed relative to the water:

velocity relative to the ground = 22 km/hr to the South - 3 km/hr to the North = 22 km/hr to the South + 3 km/hr to the South = 25 km/hr to the South.

Therefore, the ship's speed relative to the ground is 25 km/hr to the South.

The displacement is characterized by the difference between the final and initial positions. In this case, the initial position and the final position are the same, so the displacement is zero. We can represent the two movements using vectors:

50 m to the right = +50 m i

20 m to the left = -20 m i

The displacement vector is the vector sum of these two vectors:

displacement = +50 m i - 20 m i = +30 m i

Since the x-component of the displacement vector is positive, the displacement is to the right.

We can represent the four movements using vectors:

2 km North = +2 km j

4 km East = +4 km i

2 km South = -2 km j

4 km West = -4 km i

The displacement vector is the vector sum of these four vectors:

displacement = +2 km j + 4 km i - 2 km j - 4 km i = 0 km i + 0 km j

Therefore, the displacement is zero, which means that the final position is the same as the initial position. The movements to the North and South cancel out, and the movements to the East and West cancel out.

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What will happen to the velocity and momentum of each ball when the small ball hits the heavier large ball?

Answers

Answer:

it will stop

Explanation:

What is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string? standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard. The entire series of distortions may be superimposed on a single figure, like this (figure 2), indicating different moments in time using traces of different colors or line styles. Part ab

Answers

The wavelength of the standing wave λ = 40cm

What is a Wavelength?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in consecutive cycles.

Its length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

How to solve:

We know the distance between two successive nodes = λ / 2

From the figure distance between two successive nodes = 20 cm

i.e. λ / 2 = 20 cm

∴ The wavelength of the standing wave λ = 40cm

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A recycling center has a 0.125 m° box filled with one type of plastic. The full box has a mass of 120 kilograms. What is the density of the plastic? What type of plastic is in the box? JUSTIFY your answer.

Answers

The density of the plastic found inside the box would be = 960kg/m³

How to calculate the density of the box?

The volume of the box at the recycling center= 0.125m³

The mass of the full box = 120kg

The formula use to calculate the density of the plastic = mass/volume.

That is ; Density = mass /volume = kg/m³

Density = 120/0.125

= 960kg/m³

The type of plastic that is in the box is LDPE (low density polyethylene). This is because the density calculate fell within the range of 940–960 kg/m3.

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Complete question:

A recycling center has a 0.125 m³ box filled with one type of plastic. The full box has a mass of 120 kilograms. What is the density of the plastic? What type of plastic is in the box? JUSTIFY your answer.

A packing crate of weight 50N is placed on a plane inclined at 35° from the horizontal . If the coefficient of static friction between the crate and the the plane is 0.65 , will the crate slide down the plane?​

Answers

Answer:

A packing crate of weight 50N is placed on a plane inclined at 35°from the horizontal. If the coefficient of static friction between the crate and the plane is 0.65, will the crate slide down the plane? asked by Siyam February 26, 2022 1 answer normal force = m g cos 35 = 50 cos 35 = 41 Newtons so max friction force up slope = 0.65 * 41 = 26.6 N

Explanation:

A ball of mass 20 g moving at 10 m s¹ horizontally collides with another ball of mass 40 g that is at rest. After collision the 20 g ball has a velocity of 4 m s at an angle of 50° relative to its original direction. Calculate the total change in kinetic energy of the system. A. 1.21 x 10-21 B. -121 x 10-21 C. 112 x 10-2 D. 815 x 102 E. -518 x 10-1​

Answers

Answer:

We can use conservation of momentum and conservation of energy to solve this problem.

Conservation of momentum:

Initial momentum = final momentum

m1v1 + m2v2 = (m1 + m2)v'

where m1 = 20 g = 0.02 kg, v1 = 10 m/s, m2 = 40 g = 0.04 kg, v2 = 0, v' is the final velocity of both balls after collision.

Solving for v':

v' = (m1v1 + m2v2)/(m1 + m2)

v' = (0.02 x 10 + 0.04 x 0)/(0.02 + 0.04)

v' = 6.67 m/s

Conservation of energy:

Initial kinetic energy = final kinetic energy

(1/2)m1v1^2 + (1/2)m2v2^2 = (1/2)(m1 + m2)v'^2

where v' is the final velocity calculated from conservation of momentum.

Solving for the total change in kinetic energy:

ΔKE = (1/2)(m1v1^2 + m2v2^2) - (1/2)(m1 + m2)v'^2

ΔKE = (1/2)(0.02 x 10^2 + 0.04 x 0^2) - (1/2)(0.02 + 0.04) x 6.67^2

ΔKE = -0.518 J

Therefore, the answer is (E) -518 x 10^-1.

Other Questions
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