In laboratorio, versi in un tubo a U acqua da una estremità e olio dall'altra. Le densità dell'olio e dell'acqua sono, rispettivamente, 890 kg/m^3 e 1010 kg/m^3. L'altezza della colonna d'acqua è 18 cm. ▶ A che altezza arriva l'olio nell'altro ramo del tubo? ▶ Quanto vale la differenza fra i livelli superiori dell'acqua e dell'olio nei due rami?

Answers

Answer 1

Answer:

20.4 cm; 2.4 cm  

Explanation:

The formula for the pressure p exerted by a column of a liquid with density ρ and height h is

p = ρgh

where h = the acceleration due to gravity

If you have two liquids balancing each other in a U-tube

     p₁ = p₂

ρ₁gh₁ = ρ₂gh₂

 ρ₁h₁ = ρ₂h₂

Data:

ρ₁ = 1010 kg/m³; h₁ = 18 cm

ρ₂ = 890 kg/m³; h₂ = ?          

1. Height of oil column

We measure from the horizontal red line.

\(\begin{array}{rcl}\rho_{1}h_{1} & = &\rho_{2}h_{2}\\\text{1010 kg/m}^{3} \times \text{18 cm} & = & \text{890 kg/m}^{3} \times h_{2}\\\text{18 180 cm} & = & 890h_{2}\\h_{2} & = & \dfrac{\text{18180 cm}}{890}\\\\ & = & \text{20.4 cm}\\\end{array}\\ \text{The height of the oil column is $\textbf{20.4 cm}$}\)

2. Height of oil above water

h₂ - h₁ = 20.4 cm – 18 cm = 2.4 cm

In Laboratorio, Versi In Un Tubo A U Acqua Da Una Estremit E Olio Dall'altra. Le Densit Dell'olio E Dell'acqua

Related Questions

which has the greatest inertia

A. Jumbo Jet
B. Bird
C. Car​

Answers

Answer:C car

Explanation:

The aorta in an average adult has a cross-sectional
area of2.0 cm2•
a. Calculate the flow rate (in grams per second) of
blood (p = 1.0 gl cm3) in the aorta if the flow speed
is 42 cmls.
b. Assume that the aorta branches to form a large
number of capillaries with a combined cross-sectional
area of 3.0 x 103 cm 2. What is the flow speed
in the capillaries?

Answers

a) The flow rate will be Q = 84 cm³ per second.

b) The flow speed in the capillaries will be 0.028 cm /s.

What is a flow rate?

The flow rate is defined as the volume of the fluid passing across the cross-section of the pipe in a unit of time.

To calculate the flow rate of blood in the aorta, we can use the equation:

Flow rate = Area x Velocity x Density

Where the area is the cross-sectional area of the aorta, the velocity is the flow speed of the blood in the aorta, and the density is the density of blood (p = 1.0 g/cm³).

Substituting the values we know, we get:

Flow rate = 2.0 cm²x 42 cm/s x 1.0 g/cm³

Flow rate = 84 g/s

Therefore, the flow rate of blood in the aorta is 84 grams per second.

b. According to the principle of continuity, the flow rate of blood must remain constant as it moves from the aorta to the capillaries. Therefore, we can use the equation:

Flow rate = Area x Velocity x Density

To calculate the flow speed in the capillaries, given the combined cross-sectional area of the capillaries.

We know that the flow rate in the capillaries must be the same as the flow rate in the aorta, which we calculated in part a:

Flow rate = 84 g/s

The combined cross-sectional area of the capillaries is given as 3.0 x 10³ cm². Substituting these values in the equation, we get:

84 g/s = 3.0 x 10³cm² x Velocity x 1.0 g/cm³

Solving for the velocity, we get:

Velocity = 84 g/s / (3.0 x 10³ cm² x 1.0 g/cm³)

Velocity = 0.028 cm/s

Therefore, the flow speed in the capillaries is 0.028 cm/s.

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What do the letters JJ mean in a wheel designation size labeled 14 x 7 JJ?speed ratingload ratingtire conicitythe shape of the flange area

Answers

The letters JJ in a wheel designation size labeled 14 x 7 JJ refer to the shape of the flange area of the wheel. The letters represent a specific type of flange shape and do not refer to the speed rating, load rating, or tire conicity of the wheel. These ratings and designations are typically indicated separately on the wheel and tire.

In a wheel designation size labeled 14 x 7 JJ, the letters "JJ" refer to the shape of the flange area.
Here's a breakdown of the designation:
- 14: The wheel diameter in inches (14 inches)
- 7: The wheel width in inches (7 inches)
- JJ: The flange shape (JJ flange type)
The JJ flange type indicates a specific profile of the wheel's flange, which is designed to better retain the tire bead and accommodate certain tire types. This flange type is commonly used for high-performance and off-road vehicles.

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Below is the velocity function, in feet per second, for a particle moving along a straight line. Find (a) the displacement and (b) the total distance that the particle travels over the given interval.
v(t) = t³ 13t2 + 47t-35 1≤t≤7
(a) Displacement: 36
(b) Total distance:

Answers

Given function isv(t) = t³ +13t²+47t-35and time interval is 1≤t≤7. We have to calculate:

(a) Displacement

(b) Total Distance

(a) Displacement:

Displacement is defined as the shortest distance between initial and final points. We can find the displacement of a particle with the help of following formula:

Displacement = Final Position - Initial PositionHere, the particle moves along a straight line, and we don't know the initial and final position.  Thus, the displacement of the particle is 219 ft.(b) Total Distance:Total distance traveled by the particle is the sum of all the distances covered by it in different intervals.

Thus, we have two real roots of the given equation:t₁

≈ - 6.548t₂

≈ 0.215

Therefore, ∫|v(t)|dt = 309

As we have to find the total distance, we have to add both the cases. Therefore,

Total Distance =∫|v(t)|dt  [from 1 to 7]

=∫|v(t)|dt [from 1 to 7]

=∫|v(t)|dt (from 1 to 1.215) +|v(t)|dt (from 1.215 to 7) = 252 + 309= 561 ft Thus, the total distance traveled by the particle is 561 feet.

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HELP ME PLSSS What are the possible genotypes
of the F, offspring? What are the
possible phenotypes of the F,
offspring?

Answers

Answer:

the answer is b i think

Answer:Within an individual organism, the specific combination of alleles for a gene is known as the genotype of the organism, and (as mentioned above) the physical trait associated with that genotype is called the phenotype of the organism.

Explanation:

The phenotype is the trait those genes express. ... Looking at the possible offspring, each box (or possible offspring) has two copies of the dominant gene. This means there is a 100% chance of the offspring having brown eyes, or being BB. It's important to note here that each box represents a possible offspring.

A wagon of mass 2.4 kg is pushed along the ground at 1.2 m/s2 (E) against a frictional force of 1.22 N [W]. What is the applied force that is acting? Draw a free-body diagram; create a net force equation and determine Fa.

Answers

The applied force acting on the wagon is 3.04 N.

What is the direction of the applied force?

The direction of the applied force is east.

What is the net force acting on the wagon?

The net force acting on the wagon is Fa - Ff, which is equal to (2.4 kg)(1.2 m/s^2) + 1.22 N, or 3.04 N.

To determine the applied force, we need to use the equation for net force: ΣF = ma

where ΣF is the sum of all forces acting on the wagon, m is the mass of the wagon, and a is the acceleration of the wagon.

From the free-body diagram, we can see that the forces acting on the wagon are the applied force (Fa) in the direction of motion (east), and the frictional force (Ff) in the opposite direction (west):

So the net force equation becomes:

Fa - Ff = ma

Substituting the given values, we get:

Fa - 1.22 N = (2.4 kg)(1.2 m/s^2)

Simplifying and solving for Fa, we get:

Fa = (2.4 kg)(1.2 m/s^2) + 1.22 N

Fa = 3.04 N

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what is the weight of a 15 kg object

Answers

to get weight multiply Mass by 9.8

weight =9.8x15=147N

I have this bigfoot worksheet for science. It says, "When designing an experiment, which two groups must be involved?" Can you help me?

Answers

Answer:

control group and experimental group

Physics question, help needed! (can you confirm if the filled-in spaces are correct?)

Physics question, help needed! (can you confirm if the filled-in spaces are correct?)

Answers

The change in potential energy when it drops from 20 ft is  -27.14 J.

The change in potential energy when it drops from 30 ft is  -40.71 J J.

The change in kinetic energy when it drops from 30 ft is  40.71 J J.

The speed of the objects when they hit the ground is 13.39 m/s.

Change in potential energy of the nut and bolt

The change in potential energy is calculated as follows;

ΔP.E = P.E(final) = P.E(initial)

ΔP.E = mghf - mghi

ΔP.E = mg(hf - hi)

where;

hf is the final height = 0 mhi is the initial height = 20 ft x 30.5 cm = 610 cm = 6.1 mm is mass = 454 g

ΔP.E = (0.454 x 9.8) (0 - 6.1)

ΔP.E = -27.14 J

When it drops from 30 ft

hi = 30 ft x 30.5 cm = 915 cm = 9.15 m

ΔP.E = (0.454 x 9.8) (0 - 9.15)

ΔP.E = -40.71 J

Change in kinetic energy

Apply the principle of conservation of energy.

P.Ei + K.Ei = P.Ef + K.Ef

P.Ei - P.Ef = K.Ef - K.Ei

- (P.Ef - P.Ei) = K.Ef - K.Ei

- ΔP.E = ΔK.E

- (-40.71 J ) = ΔK.E

40.71 J  = ΔK.E

Speed of the objects when they hits the ground

v = √2gh

v = √(2 x 9.8 x 9.15)

v = 13.39 m/s

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Which equation states Newton’s second law?
A. m= F/a
B. m= a/F
C. m= Fa
D. m= Fa/2

Answers

A…..A…….a……the answer is A

Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes

Answers

48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.

To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.

1 km (kilometer) = 1000 meter

1 h (hour) = 3600 seconds

1 minutes = 60 seconds

To convert m/s into km/h,

48 m/s * 3600/1000 =  172.8 km/h

To convert m/s into m/min,

48 m/s * 60 = 2880 m/min

To convert m/s into km/s,

48 m/s ÷ 1000 = 0.048 km/s

To convert m/s into km/minutes,

48 m/s * 60 / 1000 = 2.88 km/min

Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.

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48 m/s is equivalent to  172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

To express 48 m/s in different units of velocity:

km/h (kilometers per hour):

To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.

48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h

Therefore, 48 m/s is equivalent to 172.8 km/h.

m/min (meters per minute):

To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.

48 m/s * (60 m/min / 1 s) = 2880 m/min

Therefore, 48 m/s is equivalent to 2880 m/min.

km/s (kilometers per second):

Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.

48 m/s / 1000 = 0.048 km/s

Therefore, 48 m/s is equivalent to 0.048 km/s.

km/minute (kilometers per minute):

To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.

0.048 km/s * 60 = 2.88 km/minute

So, 48 m/s is equivalent to 2.88 km/minute.

Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.

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Which statement is true about Car A?
Car A has a velocity of 40 km/hr
west.
Car A has a velocity of 40 km/hr
east.
Car A has the same velocity Car E.
Car A has a velocity of 40 km/hr.

Which statement is true about Car A?Car A has a velocity of 40 km/hrwest.Car A has a velocity of 40 km/hreast.Car

Answers

Answer:

Car A has a velocity of 40 km/hr  west.

Explanation:

The velocity of an object is a vector quantity. It has both magnitudes as well as direction.

Arrows are used to show direction.

Car A is moving towards west. Car B is moving towards east-south direction. Car C is moving towards South direction. Car E is moving towards North direction.

So, the correct option is (a) i.e. Car A has a velocity of 40 km/hr  west.

what would be a reasonable unit to measure the length of a rice grain?

Answers

A reasonable unit to measure the length of a rice grain is millimeters (mm).

Rice grains are relatively small, and millimeters provide a suitable level of precision for measuring their length. Using millimeters allows for more accurate measurements and consistency in assessing the size of rice grains. Various tools, such as calipers or rulers with millimeter markings, can be used to measure the length of rice grains.

This unit is commonly used in scientific studies, culinary applications, and quality control assessments of rice. It provides a practical and standardized way to quantify the length of rice grains, aiding in research, production, and cooking processes.

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what is the resistivity of a cylindrical material wire whose whose length has a resistance of 2.0 ohms the diameter of a wire is 0.5 mm​

Answers

The resistivity of a cylindrical material wire whose whose length has a resistance of 2.0 ohms the diameter of a wire is 0.5 mm​ is given as ρ = (2.0 Ω)\((1.96 x 10^-7 m^2) / L\)

How to calculate the resistivity of a cylinder

The resistivity (ρ) of a cylindrical wire can be calculated using the formula

ρ = RA / L

where:

R is the resistance of the wire,

A is the cross-sectional area of the wire, and

L is the length of the wire.

To calculate the cross-sectional area of the wire from its diameter

The diameter of the wire is given as 0.5 mm.

The radius (r) of the wire is therefore

r = d/2 = 0.5 mm / 2 = 0.25 mm

r = 0.25 mm = 0.00025 m

The cross-sectional area (A) of the wire is then:

\(A = \pi r^2 = \pi (0.00025 m)^2 = 1.96 x 10^-7 m^2\)

ρ = RA / L

ρ = R(A/L)

ρ = (2.0 Ω)\((1.96 x 10^-7 m^2) / L\)

To calculate the resistivity, information on the length of the wire must be available. Once this is available , we can substitute for it in the equation.

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a car accelerates from 20m/s to30m/s in 10s. draw a velocity-time graph and calculate desplecement area.​

Answers

Hey there mate ;),

Graph Attached. Please check.

Now displacement area:-

\(Area = \frac{(10s - 0s)(30ms - 20ms)}{2} \)

\(→Area = \frac{100m}{2} \\ →Area = 50m\)

So, area of displacement is 50 m

a car accelerates from 20m/s to30m/s in 10s. draw a velocity-time graph and calculate desplecement area.

When you drop a 0.43 kg apple, Earth ex erts a force on it that accelerates it at 9.8m / (s ^ 2) toward the earth's surface. According to New ton's third law, the apple must exert an equal but opposite force on Earth. If the mass of the earth 5.98 * 10 ^ 24 * kg what is the magnitude of the earth's acceleration toward the apple?

Answer in units of m / (s ^ 2)​

Answers

Answer:

The answer to the question is highlighted in the box

When you drop a 0.43 kg apple, Earth ex erts a force on it that accelerates it at 9.8m / (s ^ 2) toward

In the principle of moments (select the correct statement):
20 points
the moment of the biggest Force will be always bigger than the moment of the other force
moments of both forces are equal
the moment of the smallest Force will be always bigger than the momentof the other Force

Answers

According to the research, the correct option is moments of both forces are equal. In the principle of moments, both moments of forces are equal.

What is the principle of moments?

It states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the point where two forces are equivalent when their effects on a rigid body are the same, that is, produce the same moment.

In this sense, two forces acting on an object are known as a couple whose torques about a point cause the object they act on to tend to rotate.

Therefore, we can conclude that following the equilibrium condition in the principle of moments, a structure of an object has to respond to the action of a moment with another of the same value and in the opposite direction.

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Description on Slider Mechanism concept on a wheelchair. (200
words)

Answers

A slider mechanism is a concept used in wheelchairs to allow for smooth and efficient movement of the seat. It involves a sliding mechanism that enables the user to adjust the position of the seat along the wheelchair frame, providing flexibility and comfort.

The slider mechanism concept in wheelchairs revolves around the idea of a sliding seat that can be adjusted forward or backward along the frame of the wheelchair. This mechanism allows the user to modify their seating position to achieve optimal comfort, balance, and posture.

Typically, the slider mechanism consists of a set of rails or tracks installed on the wheelchair frame, with the seat attached to a carriage that slides along these tracks. The sliding mechanism can be manual, where the user manually pushes or pulls the seat to adjust its position, or it can be powered, using electric motors or hydraulics for easier adjustment.

The benefits of the slider mechanism are numerous. It allows wheelchair users to modify their seating position to accommodate specific activities or preferences, such as reaching a table or desk, transferring in and out of the wheelchair, or adjusting weight distribution for better balance. The sliding mechanism also helps in preventing pressure sores and discomfort by allowing users to periodically change their seating position and relieve pressure points.

Overall, the slider mechanism concept on a wheelchair enhances the user's mobility and comfort by providing an adjustable seating position. It offers flexibility, adaptability, and improved ergonomics, enabling wheelchair users to customize their experience based on their individual needs and preferences.

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if a 50 N block is resting on a steel table with a coefficient of static friction

Answers

If F = 37 N, the static frictional force between the block and the table and the minimum force required to move it must be equal.

How is the minimum force of static friction determined?

It is the force that regulates itself. The value of static friction varies from zero to the smallest force required to initiate motion. The formula for determining static friction is as follows: Normal Force divided by the static friction coefficient is static friction.

Is weight equivalent to static friction?

Although the maximum static friction will rise, the frictional force will always be the same as the weight in mg because friction cannot accelerate an object. Because FrN can take any value less than N to balance the weight, this is the case.

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A star of apparent magnitude +1 appears _____ than a star of apparent
magnitude +2.
O fainter
O farther away
o either brighter or fainter, depending on the distance to the stars
O brighter

Answers

The correct answer is going to be B . Farther away

A star of the apparent magnitude of +1 would appear farther away than a star of the apparent magnitude of +2. Hence, option B is correct.

What is a star?

In astronomy, a star is a brilliant plasma spheroid that is held together through gravity. The Sun is the planet's closest star. The human eye can see a great number of other stars at night, but due to our planet's size, they seem alike stationary points of light.

Numerous of the shining stars were given names, whereas the most notable stars have been grouped into constellations and asterisms. The known stars have been recognized and given standard designations in star inventories that astronomers have put together.

The birth of a star is caused by the gravitational attraction of a gaseous nebula made largely of hydrogen, helium, and traces of transition metals. Its overall mass is the primary factor influencing how it will develop and end up.

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a 4.00-pf is connected in series with an 8.00-pf capacitor and a 400-v potential difference is applied across the pair. (a) what is the charge on each capacitor? (b) what is the voltage across each capacitor?

Answers

The voltage drop across each capacitor is 134 V.

Absent an external voltage source, a capacitor is nothing more than a neutral conductor (before charging). But a capacitor starts to store electric charges when an external voltage is placed across it. Currently, the electric charge on a capacitor is precisely proportional to the voltage across it. A change in charge applied to a capacitor causes a change in the voltage across it. Therefore, the voltage across a capacitor rises as it charges. The voltage across the capacitor becomes constant once the capacitor has fully charged. The capacitor will now start to discharge if we remove the external battery. The capacitor's voltage across it drops as it is being discharged, and after a while, it reaches zero.

Given,

C = 4.00pF          

C₁ = 8.00pF

V = 400 V

C(eq) = 1/ (114 + 118)

        = 2.66667 pF

Q = C * V

Q = 2.66667 * 10⁻¹² F *  400 V

Q₁ = 1.07 nC

Q₂ = 1.07 nC

V = Q/C = 1.07 * 10⁻⁹ C/ 4.00 * 10⁻¹² F

V₁ = 267.0 V

V₂= Q/C

   = 1.07 * 10⁻⁹ C / 8.00 * 10⁻¹² F

V₂ = 133.0 V

Thus, the voltage drop is, V₁ - V₂ = 267.0 - 133.0

Voltage drop = 134 V

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In which stars will you likely find fusion of heaveir elements such as helium and oxygen

Answers

The answer would be red giants and supergiants

_____ type of components is affected by the intensity of light.

Answers

Answer:

Explanation:

Some of the factors affecting intensity are: The energetic intensity of the source (the initial volume). The distance from the source (the volume at any point along the path). Any modifying elements in the light path (air, clouds, filters, reflectors, etc.) The factors affecting the intensity of light are diffraction.

Light has three properties: Wavelength, speed, and amplitude. The wavelength determines the type of light (color, etc.). Speed is determined by whether light passes through a vacuum or some material. The more photons emitted per unit time, the greater the intensity of the light. Directly, it is the power that determines the brightness of a bulb. That is why light bulbs have a power rating, i.e. a 60W bulb is enough to light a typical bedroom. But power is determined by the current and voltage which, in turn, is determined by the current.

I’ll give brainliest

Ill give brainliest

Answers

Answer:

we call a foreign born resident of us a citizen

A point charge q1=5. 00μC is held fixed in space. From a horizontal distance of 8. 00 cm, a small sphere with mass 4. 00×10−3kg and charge q2=+2. 00μC is fired toward the fixed charge with an initial speed of 35. 0 m/s. Gravity can be neglected.

What is the acceleration of the sphere at the instant when its speed is 27. 0 m/s

Answers

According to the given statement , the acceleration of the sphere at the instant when its speed is 27.0 m/s.

We can use the principles of electrostatics and kinematics.  a = [(9.00 x 10⁹ N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)²] / (4.00 x 10⁻³ kg).

1. Determine the electric force between the two charges:
  - The electric force between two charges can be calculated using Coulomb's Law:

F = k * |q1 * q2| / r².
  - In this case, q1 = 5.00 μC and q2 = +2.00 μC. The distance between them, r, is the horizontal distance of 8.00 cm (which is 0.08 m).
  - The constant k is 9.00 x 10⁹ N * m^2 / C².
  - Plugging in the values, we get F = (9.00 x 10^9 N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)².

2. Calculate the net force acting on the sphere:
  - At any instant, the net force acting on the sphere is the sum of the electric force and the force due to gravity.
  - However, in this case, gravity can be neglected, as stated in the question.
  - Therefore, the net force acting on the sphere is equal to the electric force between the two charges.

3. Calculate the mass of the sphere:
  - The mass of the sphere is given as 4.00 x 10⁻³ kg.

4. Apply Newton's second law:
  - Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration: Fnet = m * a.
  - In this case, the net force acting on the sphere is the electric force between the charges.
  - Plugging in the values, we get (9.00 x 10⁹ N * m^2 / C²) * |5.00 μC * 2.00 μC| / (0.08 m)² = (4.00 x 10⁻³ kg) * a.

5. Solve for the acceleration:
  - Rearranging the equation, we have a = [(9.00 x 10⁹ N * m² / C²) * |5.00 μC * 2.00 μC| / (0.08 m)²] / (4.00 x 10⁻³ kg).
  - Evaluating the expression, we find the value of acceleration.

By following these steps, you can find the acceleration of the sphere at the instant when its speed is 27.0 m/s.

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a laser beam strikes a plane mirror's reflecting surface with an angle of incidence of 43°. what is the angle between the incident ray and the reflected ray?

Answers

The angle between the incident ray and the reflected ray of the laser beam is 86°.

When a laser beam strikes a plane mirror, the angle between the incident ray and the reflected ray is equal to the angle of incidence. This is known as the law of reflection. In this case, the laser beam strikes the mirror's reflecting surface with an angle of incidence of 43°, so the angle of the reflected ray will also be 43°. This means that the reflected ray will bounce off the mirror at an angle of 43° away from the incident ray. This law of reflection is important in understanding how light interacts with surfaces and can be used in various applications, such as in telescopes and cameras.

In this case, the angle of incidence is 43°, so the angle of reflection is also 43°. To find the angle between the incident ray and the reflected ray, simply add the two angles together: 43° + 43° = 86°. Therefore, the angle between the incident ray and the reflected ray is 86°.

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a child is standing on the edge of a merry-goround that is rotating with frequency f. the child then walks towards the center of the merry-go-round. for the system consisting of the child plus the merry-go-round, what remains constant as the child walks towards the center? (neglect friction in the bearing)

Answers

The total angular momentum of the child plus the merry-go-round remains constant.

Angular momentum is a measure of an object's rotational motion and is equal to its mass times its velocity around a point. In this scenario, the child is walking towards the center of the rotating merry-go-round, thus changing its velocity.

However, as there is no external force acting on the system (child and merry-go-round), the total angular momentum must remain constant as per the law of conservation of angular momentum.

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you push a food tray 1.5m along a cafeteria table with a constant force of 18 N. how much work do you do ?

Answers

Answer:

27J

Explanation:

Work done =force×distance

Therefore

Work done =18×1.5

Work done =27J

Find the kinetic energy K AB(ii) of the system of spheres A and B after the first collision. Express your answer with the appropriate units. ► View Available Hint(s) Sphere A. of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg, is initially to the right of sphere A and moving to the right at 2.00 m/s. After the two spheres collide, sphere B is moving at 3.00 m/s in the same direction as before. (a) What is the velocity (magnitude and direction) of sphere A after this collision?

Answers

The velocity of sphere A after the collision is 1.67 m/s to the right. The kinetic energy of the system of spheres A and B after the first collision is 7.14 J.

p initial = m A * v A + m B * v B

p initial = (0.600 kg)(4.00 m/s) + (1.80 kg)(2.00 m/s)

p initial = 3.60 kg m/s

After the collision, the momentum of the system is:

p final = m A * v A' + m B * v B'

p initial = p final

m A * v A + m B * v B = m A * v A' + m B * v B'

Substituting the given values and solving for v A', we get:

v A' = (m A * v A + m B * v B - m B * Δv B) / m A

v A' = (0.600 kg)(4.00 m/s) + (1.80 kg)(2.00 m/s) - (1.80 kg)(1.00 m/s) / 0.600 kg

v A' = 1.67 m/s to the right

The kinetic energy of the system after the collision, we can use the formula:

K AB(ii) = (1/2) * m A * v A'²  + (1/2) * m B * v B'²

Substituting the given values, we get:

K AB(ii) = (1/2)(0.600 kg)(1.67 m/s)² + (1/2)(1.80 kg)(3.00 m/s)²

K AB(ii) = 7.14 J

The energy an item possesses as a result of its motion is known as kinetic energy. It is a scalar quantity and depends on both the mass and velocity of the object. The formula for calculating kinetic energy is KE = 1/2 mv^2, where KE represents kinetic energy, m represents the mass of the object, and v represents the velocity of the object.

As an object moves, its kinetic energy increases proportionally to its speed. The greater the mass of the object or the faster its velocity, the more kinetic energy it possesses. Conversely, as an object comes to a stop, its kinetic energy decreases and is converted to other forms of energy, such as potential energy or heat. Kinetic energy is a fundamental concept in physics and is important in understanding many natural phenomena.

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Complete Question:-

Find the kinetic energy K AB(ii) of the system of spheres A and B after the first collision. Express your answer with the appropriate units. View Available Hint(s) Sphere A. of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg, is initially to the right of sphere A and moving to the right at 2.00 m/s. After the two spheres collide, sphere B is moving at 3.00 m/s in the same direction as before.

(a) What is the velocity (magnitude and direction) of sphere A after this collision?

(b) Is this collision elastic or inelastic?

(c) Sphere B then has an off-center collision with sphere C, which has mass 1.60 kg and is initially at rest. After this collision, sphere B is moving at 19.0° to its initial direction at 1.80 m/s. What is the velocity ( magnitude and direction) of sphere C after this collision?

(d) What is the impulse (magnitude and direction) imparted to sphere B by sphere C when they collide?

(e) Is this second collision elastic or inelastic?

(f) What is the velocity (magnitude and direction) of the center of mass of the system of three spheres (A, B, and C) after the second collision?

No external forces act on any of the spheres in this problem. ?

Calculate the total displacement of a mouse walking along a ruler, if it begins at the location x = 5 m, and then does the following:

- It walks to x = 12 m
- It then walks a displacement of -8 m (NOT the same as x = -8 m)
- Lastly, it walks to the location x = 7 m​

Answers

Answer:

18

Explanation:

12 - 5 + 8 = 15

12 - 8 = 4

7 - 4 = 3

15 + 3 = 18

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