If K.E. of an object moving with velocity 4 m/s is 72 J. Calculate mass of the object.

Answers

Answer 1

Answer:

m=9

Explanation:

[tex]k.E = \frac{1}{2}m {v}^{2} [/tex]

[tex]m = \frac{2k.E}{v}^{2} [/tex]

m=2(72)/(4)^2

m=144/16

m=9


Related Questions

Materials: Calculator
1. In the table below, you are given the height from which various objects fell and the time it took for those objects to fall on
Earth, the moon, and Mars. Use the data to calculate the acceleration due to gravitational force at each location.
Distance (m)
Time (s)
Acceleration due to gravity (m/s²)
Average g value for the location (m/s²)
Earth
2.25
0.680
3.08
0.793
Moon
Mars
4.04
4.57
4.68 3.55
2.20 2.26 1.58
1.38
2. What to submit:
a. Your completed table with calculations for acceleration due to gravitational force and the average value.
b. All work shown for your calculations.



Answers

Answer:n

Explanation:

a ball of mass 0.0896 kg is dropped from a height 2.87 m above the ground. the acceleration of gravity is 9.8 m/s2 . neglecting air resistance, determine the speed of the ball when it is at a height 0.563 m above the ground

Answers

neglecting air resistance, determine the speed of the ball when it is at a height 0.563

The speed of the ball when it is 0.563 m above the ground is 5.37 m/s.

What is speed?

Speed is defined as the rate of motion or activity; the rate at which something moves or operates. It is a measure of how quickly something happens or is accomplished. Speed can be measured in various ways, including distance traveled over time, speed of sound, and velocity. Speed is important in many aspects of life, ranging from sports and travel to computers and communication.

The speed of an object can be calculated using the equation v = √2gh, where v is the velocity, g is the acceleration of gravity, and h is the height.

Therefore, v = √2*9.8*(2.87 - 0.563)

= √15.25

= 5.37 m/s

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A block with a mass of 1kg is hanging vertically from a spring that has a constant of 40 Nm. Of the block is pulled downward 1.5m past equilibrium and released, what is the velocity of the block as it passes back through the equilibrium position

Answers

The velocity of the block as it passes back through the equilibrium position is 10.9545 m/s.

What is velocity?

Velocity is a vector quantity that describes the rate at which an object changes its position. It is defined as the change in displacement (the distance an object has moved) over time. It is typically expressed in units of meters per second (m/s) or miles per hour (mph). The direction of the velocity vector is the same as the direction of the displacement vector. For example, if an object is moving to the right, its velocity vector points to the right. If the object is not moving, its velocity is zero. If the object is moving in the opposite direction, the velocity vector will point in the opposite direction.

According to question:

v = sqrt(2kx/m)

where

v = velocity of the block

k = spring constant (40 N/m)

x = distance displaced from equilibrium (1.5m)

m = mass of the block (1kg)

By plugging in the known values, we get:

v = sqrt(2401.5/1) = sqrt(120) = 10.9545 m/s

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a car of mass m is moving with a momentum p. how would you represent its kinetic energy in terms of these two quantities?

Answers

According to these two figures, the kinetic energy symbol is p^2/2m, and a car with mass m is moving with a momentum of p. due to the fact that kinetic energy is directly proportional to the mass of an item.

It is possible to say the following: KE =  p^2/2m where V denotes the changing motion speed of the item and m denotes the body's mass. Newtonian mechanics states that an object's mass and velocity together determine its momentum, more specifically its linear momentum or translational momentum. It is a vector quantity since it has both a magnitude and a direction. A essential quality of a body is its mass. It was believed to be related to the amount of matter in a physical body.

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what is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 43 rpm (revolutions per minute) if the wheel's diameter is 36 cm ?

Answers

The 4.8m/s²  is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 43 rpm (revolutions per minute) if the wheel's diameter is 36 cm.

What is magnitude ?

In simple terms, magnitude is "distance or quantity." It shows the size or motion of an object, either in terms of absolute size or relative motion. It is a method for describing a phenomenon's size or range. In physics, the term magnitude is frequently used to describe a length or size.

What is acceleration ?

The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case. Because of the shifting direction of its velocity, an item moving on a circular path at a constant speed is still accelerating.

Therefore, 4.8m/s²  is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 43 rpm (revolutions per minute) if the wheel's diameter is 36 cm.

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two objects attract each other with a gravitational force of magnitude 9.90 10-9 n when separated by 19.5 cm. if the total mass of the objects is 5.05 kg, what is the mass of each?

Answers

The total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.

What is mass ?

Determining inertia, a non-changeable feature of all objects. The main characteristic of a body of matter is the resistance it offers to a force-induced change in its speed or location.

What is magnitude ?

In simple terms, magnitude is "distance or quantity." It shows the size or motion of an object, either in terms of absolute size or relative motion. It is a method for describing a phenomenon's size or range. In physics, the term magnitude is frequently used to describe a length or size.

The concept required to solve this problem is the expression for gravitational force.

Initially, obtain the quadratic expression for the mass of the object by using the expression for gravitational force.

Finally, calculate the mass of the each object using the expression for the mass of the object.

The gravitational force is given by, F= G m₁m₂/ r²

Here, G is the universal gravitational constant,

r is the distance between the two objects and

m₁m₂ are the masses of the two objects.

The expression for the mass of the object is given as follows:

(5.02 kg - m₁) for m₂ in the equation F= G m₁m₂/ r²

G =  m₁ (5.02 kg - m₁) / r²

Fr² / G = m₁ (5.02 kg - m₁)

m²₁= - (5.02 kg - m₁) + Fr² / G = 0

The sum of the two masses is given by,

m₁+m₂= 5.02 kg

m₂= 5.02 kg-m₁

Calculate the mass of the each object as follows:

Consider force as 9.80 * 10 ⁻⁹ N

m₁= 3.35 Kg

m₂= 1.67 Kg

Therefore, the total mass of the objects is 5.05 kg, m₁= 3.35 Kg, m₂= 1.67 Kg is the mass of each.

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an automobile tire is inflated to a gauge pressure of 38.50 psi. the total area of one sidewall of the tire is 606.47 square inches. what is the outward force (in pounds) on the sidewall due to air pressure?

Answers

The outward force on the sidewall of the tire due to the air pressure of 38.50 psi is 23,523.74 pounds.

What is pressure?

Pressure is the amount of force applied over a given area. It is typically measured in units of Pascals (Pa) or pounds per square inch (psi). Pressure can be caused by a variety of factors, including the weight of the atmosphere, the weight of liquids, and the weight of objects. Pressure is important in many physical phenomena, including the flow of liquids, the transfer of energy, and the propagation of sound. In general, when pressure increases, the volume of the material decreases.

The outward force on the sidewall due to the air pressure of 38.50 psi is calculated by multiplying the gauge pressure by the total area of the sidewall. The formula for this calculation is F = P x A, where F is the outward force (in pounds) on the sidewall, P is the gauge pressure (in psi) and A is the total area of the sidewall (in square inches).

Therefore, the outward force on the sidewall of the tire due to the air pressure of 38.50 psi is 23,523.74 pounds. This value can be found by multiplying 38.50 by 606.47, the total area of the sidewall.

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The outward force (in pounds) on the sidewall due to air pressure is 1,945.18 pounds.

What do you mean by force?

In physics, force is a push or pull exerted on an object to change its motion. It is a vector quantity, meaning it has both magnitude and direction. The standard unit of force in the International System of Units (SI) is the newton (N).

Forces can be classified into two types: contact forces and non-contact forces. Contact forces, such as friction and tension, require physical contact between the two objects. Non-contact forces, such as gravity and magnetism, can act on an object without physical contact.

Forces can also be categorized as balanced or unbalanced. Balanced forces are those that cancel each other out, resulting in no net force acting on an object. Unbalanced forces, on the other hand, produce a net force that causes an object to accelerate.

The outward force on the sidewall of the tire due to air pressure can be calculated using the formula:

F = P × A

where F is the force, P is the pressure and A is the area.

In this case, the gauge pressure is 38.50 psi, the area of one sidewall of the tire is 606.47 square inches. So,

F = P × A = 38.50 psi × 606.47 in² = 23,342.20 in-lbs

To convert in-lbs to pounds, we divide by 12

F = [tex]\frac{23,342.20 in-lbs }{12}[/tex] = 1,945.18 pounds

So the outward force on the sidewall of the tire due to air pressure is approximately 1,945.18 pounds.

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g is the temperature of a metal rod measured in at a distance x inch from one end of the rod, then the units of measure of the derivative are

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The units of measure of the derivative of g with respect to x (dg/dx) would be units of temperature per inch (e.g. °F/inch or °C/inch).

The derivative of a function is a measure of how the function is changing with respect to its independent variable. In this case, g represents the temperature of a metal rod, and x is the distance from one end of the rod.

Therefore, the derivative of g with respect to x (dg/dx) gives us the rate at which the temperature is changing with respect to distance.

The units of measure for the derivative will be the units of the dependent variable (temperature) divided by the units of the independent variable (distance).

For example, if g is measured in degrees Celsius and x is measured in inches, then the derivative dg/dx would have units of degree Celsius per inch (°C/inch).

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1 if the water vapor capacity of the atmosphere in a given location is 25 grams per kilogram of air sampled, and the actual amount of water vapor present is 5 grams per kilogram of air sampled, what is the relative humidity?

Answers

The relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.

What is relative humidity?

Relative humidity is a ratio that compares the amount of water vapor present in the air to the amount of water vapor that the air can hold at a given temperature. Typically, a percentage is used to express it.

To calculate relative humidity, we can use the following formula:

Relative humidity = (actual water vapor / water vapor capacity) x 100

Given that the water vapor capacity of the atmosphere in a given location is 25 grams per kilogram of air sampled, and the actual amount of water vapor present is 5 grams per kilogram of air sampled, the relative humidity is:

Relative humidity = (5 / 25) x 100 = 20%

So, the relative humidity is 20%, meaning that the air is holding 20% of the water vapor it could hold at that temperature.

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a stretched string has a wave speed v. if the tension on the string is halved and the string is replaced by another with twice the linear density, by what factor will the speed of a wave on the string change?

Answers

If the strain on the rope is half and a new string with twice the density is used, be using the velocities equation to calculate the speed: v=FT=56.40N3.0910 4kg/m=427.23m/s.

Will the factor 2=1055.00N affect the wave's speed on the string?

A stretched string's wave velocity is v. The linear density, or the square root of tension divided by mass per length determines the speed of a waveform on a string. The wave speed of a stretched string is v.

FT=v2=5.78103kg/m(427.23m/s).

What changes to the velocity of the wave on the thread if the strain is doubled?

Considering that the square of the wave's speed on a taut string The frequency of the wave would rise by 2, or the square root of the strain divided by linear density.

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7. A drum corps can be heard practicing at a distance of 1. 6 km (about 1 mile) from the field. What is the

time delay between the drumstick hitting the drum and the sound heard by an individual 1. 6 km away?

(Assume the speed of sound in air to be 340 m/s. )

1 km - 1000m convert km to meters then find out the time

Answers

The calculation shows that there is a 0.2125 second lag between the sound of the drumstick striking the drum and indeed the audio heard by someone 1.6 kilometres distant.

What is the distance known as?

Distance is the length of an object's real route in its entirety. The displacement of an item between two points is defined as the straight path (shortest) travel between all those two places when directed by one position to another. The metre is the SI unit for measuring distance and displacement (m).

Distance = 1.6 km = 1600 m

Speed of sound in air = 340 m/s

As we know, the expression for distance as,

Distance = Speed / Time

To find out the time delay, let us make time as subject.

Time = Speed / Distance = 340/ 1600 = 0.2125 sec

As a result, there is a 0.2125-second delay between the sound of the drumstick striking the wheel and indeed the music heard by someone 1.6 kilometres away.

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The planet Mercury's surface temperature varies from 700 K during the day to 90 K at night.What is the temperature in ?C during the day?What is the temperature in ?C at night?What is the temperature in ?F during the day?What is the temperature in ?F at night?

Answers

Mercury's surface temperature ranges from 90 K at night to 700 K in the daytime. Temperatures during the day and night range from 427 C to -183 C. Daytime highs are 801 °F and overnight lows are -297 °F.

What true color is Mercury?

The solar system's planets all have distinctive features. Mercury is pearly white, Heaven is a vivid blue, and Saturn is a dark red, while Mercury is a charcoal gray.

Can one remain alive on Mercury?

It wouldn't be simple to live on Mercury, but it might not be impossible. It is important to remember that because there is no environment in space, you would not last very long without the need of a space suit.

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Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m, what i the gravitational energy of 1kg ma at the moon' urface. Auming R= 6. 4X10^6

Answers

The acceleration due to gravity on the surface of the moon is 1.620 ms

2 . if Auming the ma of the moon i 7. 4X10^22kg and it' radiu 1. 7X10^6m

Why gravity is a force?

However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime.

Who found gravity in India?

Rajasthan Education Minister Vasudev Devnani has said that Brahmagupta-II discovered the law of gravity before Isaac Newton. Speaking at a programme at Rajasthan University here on Monday, he asserted that Brahmagupta-II came up with the gravitation law a thousand years ago.

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consider a spin 1/2 particle to be in an initial state . what is the final state of the system (up to an overall irrelevant global phase) if the magnetic field is applied for a total time ?

Answers

According t the question, In general, if the magnetic field is applied for a total time T, the final state of the system will be a linear combination of the initial state and the state that would have been obtained after performing a rotation of the spin by an angle 2πT/T.

What is the linear ?

Linear equations are mathematical equations that involve one or more variables. They take the form of ax + b = 0, where a and b are constants, and x is the variable. Linear equations are used to model problems involving direct proportionality, such as a change in one variable having a proportional effect on another variable. Linear equations can be used to solve a variety of problems, including those involving geometry, algebra, and probability. They can also be used to make predictions about future events or trends. Linear equations are an important part of mathematics, and they are used in a variety of scientific and engineering fields.

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salt water has a greater density than fresh water. given this, there are objects that will

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Fresh water is less dense than salt water. An object might sink in fresh water but float in salt water if it were fully submerged because salt water is heavier than fresh water and would be displaced by the object.

Does Salt Water Make Things Float Better Than Fresh Water?

When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt.

Objects float more effectively on salt water than fresh water because they do so on a thick surface. Things float on top of salt water more readily the denser it is.

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a steel ball and a piece of clay have equal mass. they are dropped from the same height on a horizontal steel platform. the ball bounces back with nearly the same speed with which it hit. the clay sticks to the platform. which object experiences the greater momentum change?

Answers

The result of acceleration of an object is momentum. The steel ball's change in momentum is greater compared to that of the ceramic ball.

What exactly is momentum in daily life?

Almost all motion-related activities have momentum. It is a fundamental idea in physics. The term "momentum" is frequently used in sports. Like, if a group has momentum, it is moving and will require some work to stop.

In a single statement, what is momentum?

We measure mass in motion by its momentum. Any thing in motion has momentum. Physics dictates that an object's momentum is equal to its mass times its velocity. Both the mass and the velocity of the parameters have an impact on momentum.

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A 10,000 kg railroad car is rolling 2.00 m/s when a 4000 kg load of gravel is suddenly dropped in. What is the car's speed just after the gravel is loaded?

Answers

The speed of the railroad car just after the gravel is loaded into the railroad car is 1.42m/s.

According to the law of conservation of momentum, the momentum should remain always constant in such condition where there is no external force.

So,

Initial momentum = final momentum

MV = mv

M is the mass of the railroad rolling,

V is the initial rolling speed.

m is the mass after the 4000 kg gravel is suddenly dropped,

v is the speed just after the loading.

Putting values,

10000 x 2 = 14000 x v

v = 1.42m/s.

So, the speed of the railroad car will be 1.42m/s.

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As CO2 increases, the length of days increases. *
O True
O False

Answers

Answer: false

Explanation:

CO2 decreases during the day because of photosynthesis. The plants absorb the carbon di oxide present in the air to generate oxygen. When CO2 increases, the lengths of the nights are much affected than day. The lengths of days are not much changed. Hence, False.

Which has greater value, a Newton of gold won on Earth or a Newton of gold won on the Moon?
a. The value is the same, regardless.
b. The Newton of gold on the Earth.
c. The Newton of gold on the Moon.

Answers

The correct option is B because It is obvious that gold has a higher monetary worth on the surface of the moon than it does on Earth.

Did calculus exist before Newton?

Despite their brilliance, neither Newton nor Leibniz could create or discover calculus. The corpus of mathematics known as calculus evolved through many centuries in many different regions of the world, including greek Culture, the Middle East, India, Chinese, and Japan in addition to western Europe.

What made Newton famous?

The theory of widespread gravity was developed by Isaac Newton (1642–1727), who is best known for credited with creating the calculus in the mid- to late 1660s (more than a decade because once Leibniz did so independently and ultimately more significantly). The latter was done in his Principia, which is considered to be his most significant work.

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to get off a frozen,frictionless lake, a 67.0 kg person takes off a 0.150 kg shoe and throws it horizontally, directly away from the shore with a speed of 2.50 m/s. if the person is 5.00 m from the shore, how long does it take for him to reach the shore?

Answers

Momentum is zero since the person as well as the shoes are both at rest the shoe is thrown. The individual with mass m=70 kg recoils speed v after being hurled at vs=2m/s with ms=0.15 kg.

The definition of recoil speed

A force is applied to the gun in a backward direction when a bullet is fired from it. The gun develops a velocity inside the reverse direction as a result of this force. The term "recoil velocity" refers to this speed.

How is recoil speed calculated?

The formula for calculating the terminal velocity of gun is: starting speed of the gun = mass of the weapon + initial speed of a bullet + mass of the projectile.

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the 500-gram mass carries a charge of -7x10-8 c. if the coefficient of friction between the mass and the surface is 0.2, and an electric field is horizontal and directed to the right, which is being treated as the positive x-direction. what is the acceleration of the mass?

Answers

Because your weight has an impact on how much friction you create with the ground, you have less friction. Therefore, time moves 7x10–8% more quickly in an empty environment.

Why does physics use acceleration?

Any procedure where the velocity varies is referred to as acceleration. You have only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a velocity and a direction.

What does physics' law of acceleration mean?

An acceleration of an item caused by such a force applied is proportional to the inverse of the object and directly contributes to the strength of the force acting in the same direction. Equation form of this assertion is given as a = F.

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at what position on the x -axis could you place a small mass such that the net gravitational force on it due to the spheres is zero?

Answers

Place the little mass at either x = 68.28 mm or x = 11.72 cm. Detailed explanation: We'll call the little mass m and its location on the x-axis y. The starting point is a 20 kilogram sphere.

What does the word "sphere" mean?

In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the specified point represents its center.

A spherical item is what?

Any spherical object having all points on its surface equally spaced from its center, whether it be a hollow sphere or a round solid. Furthermore, a spherical object lacks any faces. Additionally to

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Two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0. When the resistors are connected in series, the current is Is. When the resistors are connected in parallel, the current Ip from the source is equal to 10Is.
Let r be the ratio R1/R2R1/R2. Find r.

Answers

When two resistors of resistances R1 and R2, with R2>R1, are connected to a voltage source with voltage V0, the ratio r = R1/R2 is 0.127

Given the resistance of first resistor = R1

The resistance of second resistor = R2

The voltage of source = V0

The resistors are connected in series then current through it = Is.

We know that from Ohm's law V = IR where I is current.

If resistors are connected in series then Req = R1 + R2

Then V0 = Is(Req) = Is(R1+R2)

When resistors are connected in parallel current through it = Ip.

Similarly equivalent resistance of resistors connected in parallel = Req'

1/Req' = 1/R1 + 1/R2

Then 1/Req' = R1 + R2/R1R2

Req' = R1R2/R1 + R2

Therefore V0 = Ip(R1R2/R1 + R2)

From the above equations we see that as voltages remain same,

Is(R1+R2) = Ip(R1R2/R1 + R2)

Given the current Ip = 10Is. Then

Is(R1+R2) = 10Is(R1R2/R1 + R2)

(R1+R2)^2 = 10R1R2

R1^2 + R2^2 = 8R1R2

Divide LHS and RHS by R2^2 such that

8R1/R2 = (R1/R2)^2 + 1 given r = R1/R2 by substitution we get

8r = r^2+1. So, r = 0.127 (R2>R1)

Hence the required ratio of R1/R2 = 0.127

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A ring with radius r and a uniformly distributed total charge Q lies in the xy plane, centered at the originPart a What is the potential V(z) due to the ring on the z axis as a function of z? Express your answer in terms of Q ,r , z, and or ke = 1/4 phi e0 PART B What is the magnitude of the electric field E on the z axis as a function of z , for z > 0? Express your answer in terms of some or all of the quantities Q,z , r, and or ke = 1/4 phi e0

Answers

A ring with radius r and a uniformly distributed total charge Q lies in the xy plane, centered at the originPart a What is the potential V(z)

The potential V(z) on the z axis due to the ring can be expressed as: V(z) = ke*Q/(2*r) * ln(z/r + (z/r)^2 + 1).

What is potential?

Potential is a term used to describe the ability of something or someone to achieve a desired outcome or result. It is the capacity to do or become something in the future. Potential is often used to refer to a latent or undeveloped ability, talent, or capability.

Part A:
The potential V(z) on the z axis due to the ring can be expressed as:
V(z) = ke*Q/(2*r) * ln(z/r + (z/r)^2 + 1)
where ke = 1/4 phi e0, Q is the total charge, and r is the radius of the ring.

Part B:
The magnitude of the electric field E on the z axis for z > 0 can be expressed as:
E = ke*Q/(2*r^2) * (z/r + 1/z)
where ke = 1/4 phi e0, Q is the total charge, and r is the radius of the ring. This expression follows from the definition of the electric field, E = -grad(V). Taking the gradient of V(z) in Part A yields the expression for E.

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chris is living aboard the iss and wants to heat up some chicken parmesan to a safe temperature for consumption. what device is generally included on spacecrafts to allow this type of activity to occur?

Answers

The device used to heat up food to a safe temperature for consumption in spacecrafts and ISS is called a thermal oven.

Thermal ovens are typically used to heat food on spacecrafts like the International Space Station (ISS). These ovens use a heating element to raise the temperature of the food to a safe level for consumption. The ovens on the ISS are specifically designed to work in the microgravity environment, which means they have to be able to function in the absence of gravity.

They often use convection heating to circulate hot air around the food, which helps to ensure that the food is heated evenly. Additionally, the ISS also has a refrigerator and a freezer to store food. The refrigerator keeps the food at a temperature of around 4 °C and the freezer at around -20°C, this is to help preserve the food for longer periods.

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by using information about the temperature and salintity of ocean water, oceanographers can determine the

Answers

By using information about temperature & salinity of ocean water, oceanographers can determine the Density.

What is salinity?

"Salinity" is a term used to describe water that has a lot of dissolved salt in it. It is commonly expressed in g/L or g/kg (grammes of salt per litre or kilogramme of water; the latter unit has no dimensions and equals ).

Along with temperature and pressure, salinity is a thermodynamic state variable that controls the physical properties of water, such as its density and heat capacity.

Salinity also has a significant impact on the chemistry of natural waters and the biological processes that occur there. A contour line with a constant salinity is referred to as isohaline, or isohale on occasion.

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a merry-go-round spinning at 0.8 rad/s has a radius of 3 m. its rotational inertia is 600 kg m2. a 20 kg boy starts at the center and moves to the edge of the merry-go-round. determine the angular velocity of the merry-go-round when the boy reaches the edge.

Answers

When the boy approaches the edge of the merry-go-round, its angular velocity is 0.6 rad/s.

What is angular velocity?

Rotational velocity, sometimes referred to as ω vector, is a pseudovector that depicts how quickly an object's rotation angle or orientation varies over time.

According to question-

When child was at centre, her moment of inertia was 0

So, net moment of inertia at this instant ,I1= 600 Kgm^2

w1 = 0.8 rad/s

When child moves to rim, his inertia, I= m*r^2 = 20*3^2 = 180 Kg.m^2 gets added

net moment of inertia at this instant ,I2= 600 + 180 = 780 Kgm^2

w2= ?

Use conservation of angular momentum,

I1*w1 = I2*w2

600*0.8  = 780 * w2

w2=0.6 rad/s

Answer: 0.6 rad/s

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The operation of the fluoroscopic x-ray tube by rapid on and off switching of the x-ray tube to deliver an x-ray beam describes: pulse-progressive T/F

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The operation of the fluoroscopic x-ray tube by rapid on and off switching of the x-ray tube to deliver an x-ray beam describes pulse-progressive is False.

Pulse-progressive describes a technique used in computed tomography (CT) scanners, in which the x-ray tube rotates around the patient while emitting a series of pulses of x-rays that are detected by an array of detectors. This allows the creation of detailed cross-sectional images of the body.

Fluoroscopy, on the other hand, is a technique in which a continuous low-dose x-ray beam is passed through a patient, and the resulting x-ray image is projected onto a screen. Fluoroscopic x-ray tubes are operated by a steady flow of x-ray, and the image is created by a continuous flow of X-rays, not rapid on-and-off switching.

In summary, pulse-progressive is not related to fluoroscopic x-ray tube operation and the statement is False.

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if the mass of the child and sled is 37 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum.

Answers

The average force is 98.66N in magnitude. The average force is the force applied by an item when it is travelling at a specific speed.

Does average force correspond to net force?

Average force is a fluctuating force that is not constant throughout time. It provides a more or less consistent value to compute the other factors connected to it. The overall force imparted to the item is referred to as the "net force," though.

What is the formula for average force?

The average force is therefore equal to the body's mass times the average speed during a specific period of time.

final velocity (v) = 0

Ft = m(v - u)

F = m(v-u)/t

F = -37 × 1.6/ 0.6

 = -98.66N

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Consider an L-C circuit with capacitance C, inductance L, and no voltage source, as shown in the figure (Figure 1). As a function of time, the charge on the capacitor is Q (t) and the current through the inductor is I (t). Assume that the circuit has no resistance and that at one time the capacitor was charged. Part A As a function of time, what is the energy UL (t) stored in the inductor? Express your answer in terms of L and I (t). UL (t) = ... ?Part B As a function of time, what is the energy Uc (t) stored within the capacitor? Express your answer in terms of C and Q (t). Uc (t) = ...?

Answers

The following the expressed as functions

A) Energy of UL (t) = 0.5 LI(t)2

B) Energy of UC(t) = 0.5 Q(t)2/C

What is Energy?

Energy can be defined as the capacity to perform work in most contexts. Therefore, everything that is capable of doing work possesses energy. Work is also referred to as causing or making change when referring to energy. Each time we perform a task, energy is either transformed or transferred. As a result, the amount of energy in the universe will never change because it takes on different forms with each use.

In other words, life is impossible without energy. Try to come up with an idea that doesn't require any energy. You're not going to have an answer, I'm afraid. A baby sleeping, a ball bouncing, even a beating heart all have energy. The same goes for a hot beverage in a cup.

To solve this, we must first understand how current behaves in an L-C circuit.

If there is an initial current owing, it will begin charging the capacitor.

The inductor will keep this current flowing until the charge accumulates enough to oppose the current, at which point the current will stop and the capacitor will be charged.

The capacitor will then force the current in the opposite direction, while the inductor will try to keep the current constant.

Finally, the current will flow sinusoidally through the circuit, charging the opposite plates of the capacitor.

The mathematical derivation is in the book, and the current value is

                                          I(t) =I0cos (ωt)

Without an external voltage source, the frequency will be the resonance frequency of the capacitor and the inductor, ω = [tex]1\sqrt{LC}[/tex]. This tells us UL(t), but we need the charge on the capacitor. Either integrate the current(because it is the derivative of Q(t) or use the phasor diagram.

The current phasor is to the right. The voltage across the capacitor is Vc = XCI0 = I0/ωC and the direction is down. The charge on the capacitor is

                     

                 Q(t) =CV[tex]_C[/tex](t) = C [tex]\frac{I0}{\omega C}[/tex] cos(ωt−π/2) = [tex]\frac{I0}{\omega }[/tex]sin (ωt)

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