how much heat is released by a 38-gram sample of water to freeze at its freezing point?

For the particle with the position function r(t) = ⟨\(t^{2}\)+t,\(t^{2}\)−t,\(7t^{3}\)⟩, the velocity is ⟨2t+1,2t-1,\(21t^{2}\)⟩, the acceleration is ⟨2,2,42t⟩, and the speed is √(\((2t+1)^{2}\) + \((2t-1)^{2}\) + \((21t^{2})^{2}\).

To find the velocity, acceleration, and speed of the particle, we need to differentiate the position function with respect to time.

Given the position function r(t) = ⟨\(t^{2}\)+t,\(t^{2}\)−t,\(7t^{3}\)⟩, we can differentiate it to find the velocity function v(t):

v(t) = r'(t) = ⟨2t+1,2t-1,\(21t^{2}\)⟩.

Thus, the velocity of the particle is given by ⟨2t+1,2t-1,\(21t^{2}\)⟩.

To find the acceleration, we differentiate the velocity function v(t):

a(t) = v'(t) = ⟨2,2,42t⟩.

Hence, the acceleration of the particle is ⟨2,2,42t⟩.

Finally, the speed of the particle is the magnitude of the velocity vector, which can be calculated as follows:

speed = √(\((2t+1)^{2}\) + \((2t-1)^{2}\) + \((21t^{2})^{2}\).

Therefore, the velocity of the particle is ⟨2t+1,2t-1,\(21t^{2}\)⟩, the acceleration is ⟨2,2,42t⟩, and the speed is √(\((2t+1)^{2}\) + \((2t-1)^{2}\) + \((21t^{2})^{2}\).

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The size difference between the upper and lower parts of the child in the image is caused by refraction, where light bending in water makes the submerged part appear bigger.

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(a) The change in momentum is -12.04 kg-m/s

(b) The force exerted by the bat is 1003.33 N

The given values are :

The mass of a ball, m = 0.14 kg

Initial speed of the ball, u = 40 m/s

Final speed of the ball, v = -46 m/s

(a) The change in momentum of the ball during the collision with the bat is given by :

Change in P = m(v-u )

Change in P = 0.14(-46-40)

Change in P = - 12.04 kg-m/s

(b) Time for collision, t = 0.012 s

the force can be calculated as follows :

force = Change in P/ t

force = 1003.33 N

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Complete question:

An official major league baseball has a mass of 0.14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.

a) What is the change in momentum of the ball during the collision with the bat?

b) If this collision occurs during a time of 0.012 seconds, what is the average force exerted by the bat on the ball?

To determine the wind turbine rotor blade length (R) required to produce 2.9 MW of electrical power, we need to consider the wind speed, generator conversion efficiency, Betz limit, and air density.

Given a wind speed of 9 m/s, a generator conversion efficiency of 70%, a Betz limit of 59.3%, and an air density of 1.23 kg/m^3, we can calculate the rotor blade length.

First, we need to calculate the power available in the wind. The power available is determined by the formula P = 0.5 * density * A * v^3, where A is the swept area of the rotor and v is the wind speed.

By rearranging the formula and solving for the swept area A, we can find the required rotor blade length R. The swept area is given by A = (P / (0.5 * density * v^3)).

Applying the given values, we can calculate the rotor blade length R required to produce 2.9 MW of electrical power. The calculated value will provide the specific length of the rotor blades needed to achieve the desired power output under the given conditions.

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Answer: hello your question is poorly written attached below is the well written question

answer: 4.9 * 10^-5 T

Explanation:

Current ( i ) = 39.30 A

Determine the magnitude of the B-field at Point P

Mag of B-field at Point P = μo*I / 2π*r --- ( 1 )

where : I = 39.30 , μo = 4π * 10^-7 , r = 8*10^(-2)

Input values into equation 1

( 10^-7 * 39.30 ) / ( 8*10^-2 )

∴ Mag of B-field = 4.9 * 10^-5 T

Answer:

B

Explanation:

hair can be a safety hazard

The explanation that best aligns with our current understanding is c) the Sun's heat made it difficult for other substances such as ices and gases to condense near it. This is known as the "frost line" concept. The Sun's intense heat in the early Solar System prevented volatile substances, like water and gases, from condensing near its vicinity. Instead, closer to the Sun where temperatures were higher, only solid and rocky materials could condense and form planets.

This process is believed to have resulted in the formation of the terrestrial planets, including Earth, Mercury, Venus, and Mars, which are composed mainly of rock and iron. These planets formed within the frost line, where only solid materials were able to accumulate due to the high temperatures.

Option a) and e) are not supported by evidence. Option b) does not accurately reflect the composition of the Sun, and option d) is incorrect as the inner planets primarily consist of rock and metal, not hydrogen gas and subsurface water.

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Answer:

D.) Nuclear fusion begins under high pressure

Explanation:

Answer:

Vinegar is a homogenous mixture of acetic acid and water. As the mixture created has only one phase it is a solution. ... There are no chemical bonds created between water and the acid and it is possible to separate the two without breaking any chemical bonds.

Explanation:

A brighter light source will result in a larger voltage drop across the resistor in a circuit with a phototransistor because the increased current flowing through the circuit causes a larger voltage drop according to Ohm's law.

If there is a single resistor in series with a phototransistor, a brighter light source would result in a larger voltage drop across the resistor.

The reason for this is that when the phototransistor is exposed to a brighter light source, more current will flow through the circuit because the phototransistor allows more current to pass through in the presence of a brighter light.

This increased current will cause a larger voltage drop across the resistor because the voltage drop across a resistor is directly proportional to the current flowing through it according to Ohm's law.

Ohm's law states that the voltage drop (V) across a resistor is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor:

V = IR.

Therefore, if the current through the circuit increases due to the brighter light source, the voltage drop across the resistor will also increase because the resistance of the resistor remains constant.

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Answer:

the second one

Explanation:

The chart comes closest to the relationship between kinetic energy and potential energy at point 6 is the second option.

The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as

K.E = 1/2 mv²

The relationship between kinetic energy and potential energy at point 6  of the roller coaster ride is according to the second pie chart.

Pie chart represents the potential and kinetic energy.

Thus, the second option is correct.

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Question 1.

Given:

Mass = 1200 kg

Velocity = 100 km per hour.

Let's find the change in momentum it will expperience.

To find the change in momentum, apply the formula:

Where:

Δp is the change in momentum

m is the mass of the car = 1200 kg

vf is the final velocity

vi is the initial velocity.

Here, the final velocity is = 0 m/s

The initial velocity is = 100 km/h

Let's convert the initial velocity to m/s.

Where:

1 m/s = 3.6 km/h

100 km/h = 100/3.6 = 27.78 m/s

Input the values into the formula and solve for Δp.

We have:

Therefore, the change in momentum is 33333.33 kg.m/s

Question 2.

Since the safety zone for momentum is 0 to 1000 kg.m/s, to find the minimum velocity of the car, substitute 1000 kg.m/s for Δp and solve for the final velocity vf

We have:

Therefore, the minimum velocity the car can slow down to a velocity is 26.94 m/s.

ANSWER:

(a). 33333.33 kg/m.s

(b). 26.94 m/s

A calculation gives the result that the electron is moving at about 2,200 kilometers per second. That's less than 1% of the speed of light,

So, it is 99%of speed of light = 300000×99÷100

= 297000 km/s

The speed of light which we know is 300,000 kilometers per second is the last speed limit to get. By adding energy to the electron, it becomes faster, but we see that as we get closer to the speed of light, we need to add even more energy just to bump it a bit faster.

To reach to 99.9% (just another 9.9 percentage points), we spend a total of over 11 million eV! So it's harder to push it faster.

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Answer:

yes

Explanation:

It's because as total energy remains constant, kinetic energy decreases potential energy increases. as an object moves the potential energy gradually gets decreased while kinetic energy increases so as to maintain energy constant.

Explanation:

the magnitude of the resultant force =

√(68.9² + 85.4²)

=√(4,747.21 + 7,293.16)

=√12,040.37

= 109.7 N

»Sue's style feet (north) = 68.9N

»Jenny style feet (East) = 85.4N

So, the resultant force on the ball is

= √(68.9² + 85.4²)

= √(4,747.21 + 7,293.16)

= √(12,040.37)

≈ 109.72N✅

~Physics#2

Answer:

kinetic energy

Explanation:

Electrical energy is a type of kinetic energy caused by moving electric charges. The amount of energy depends on the speed of the charges – the faster they move, the more electrical energy they carry.

The EMS system typically consists of six main components, which are:

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The types of elements found in each of the two classifications as metals and non-metals.

A.   Properties of Metals:

1. They are lustrous, i.e. they shine.

2. They are malleable, i.e. they can be drawn into sheets.

3. They are ductile, i.e. they can be made into wires.

4. They are good conductors of heat and electricity.

5. They have high density.

6. They have high melting and boiling points.

B.   Properties of Non-Metals:

1. They are non-lustrous, i.e. they do not shine.

2. They are non-malleable, i.e. they cannot be drawn into sheets.

3. They are non-ductile, i.e. they cannot be made into wires.

4. They are bad conductors of heat and electricity.

5. They have low density.

6. They have low melting and boiling points.

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A deep water wave is one that has a wavelength of 50 meters and travels through water that is 30 meters deep.

The wavelength is a crucial characteristic since it establishes the nature of the light. Green light has an wavelength that is different from both of them, while red light has a wavelength that is different from blue light.

The distance between the crests of two waves is known as the wavelength, which also applies to troughs. Cycles per second (Hz), the number of vibrations that pass across a certain area in a second, is a unit of measurement for frequency (Hertz).

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Answer: a c

Explanation:

The given statement "The fundamental feature that distinguishes solid-state welding from fusion welding is that no melting occurs." is true because, while in fusion welding the materials are melted and subsequently solidified to form a bond, solid-state welding involves joining materials before they reach their melting point.

The physics of welding deals with the phenomena associated with welding processes and the formation of weld bonds. There are two types of welds, fusion welds, and solid-state welds. These are commonly differentiated by the physics of the metallic bonding mechanism.

Solid-state welding refers to a group of welding processes where the materials being joined are not melted, unlike in fusion welding where the materials are melted and fused together.

The fundamental feature that distinguishes solid-state welding from fusion welding is that no melting occurs.

In solid-state welding, materials are joined without reaching their melting point, whereas in fusion welding, the materials are melted and then solidified to form a bond.

So, the given statement is true.

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Once its rockets have ceased firing, an Intercontinental Ballistic Missile will follow a path that is best described as an ellipse with the center of the Earth at one focus.

As the ellipse is the set of points, on a plane whose distance from two fixed points sums up to constant, in  That describes all free-fall paths near Earth, it got The Major Axis which is the longest diameter and the widest part of the ellipse it basically starts from one side of the ellipse crossing the center to the other side and the Minor Axis which is the shortest diameter and present at the narrowest part of the ellipse.As the ellipse explains all free-fall paths near Earth (free-fall is referred to as the acceleration of objects toward the Earth when dropped at rest)

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Legumes are known as the best nitrogen-fixing plants. Plants are the best at nitrogen maintenance.

The moon's gravity  pulls back on the earth. (B)

The two pulls are EQUAL.

Gravity always produces a pair (2) of equal forces in opposite directions.  For example, your weight on the Earth is equal to the Earth's weight on you !

When a space vehicle is launched vertically upward from the Earth's surface with an initial speed of 5.76 km/s, it will eventually reach a maximum height before falling back down due to gravity.

To determine the maximum height, we need to use the equation for the maximum height of an object in projectile motion. This equation is given by h = (v^2*sin^2(theta))/(2g), where v is the initial velocity, theta is the launch angle (which in this case is 90 degrees since the vehicle is launched vertically), and g is the acceleration due to gravity.

Plugging in the given values, we get h = (5.76^2*sin^2(90))/(2*9.81) = 165 km.

Therefore, the space vehicle will attain a maximum height of 165 km before falling back down to Earth.

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Answer: 4.6 minutes

Explanation:

(254 mi/hr) x (1hr/60min)= 4.23 mi/min

(19.5mi) x (1min/4.23mi)= 4.6 minutes

When the fastest and longest skydive fell an amazing 19.5 miles. His average speed while falling was 254 mi/hr, then the dive lasted for 276.377 seconds

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is meter/second. The generally considered unit for speed is a meter per second.

The mathematical expression for speed is given by

speed = total distance /Total time

As given in the problem The fastest and longest skydive fell an amazing 19.5 miles. His average speed while falling was 254 mi/hr

Total distance = 19.5 miles

Total time =?

average speed

By substituting respective values in the formula of speed

254 mi/hr = 19.5 miles/time

time = 19.5/254 hr

time = 0.0767716 hr

As we know 1 hr = 3600 seconds

0.0767716 hr = 0.0767716 ×3600 seconds

                       =276.377 seconds

Thus, the dive lasted for 276.377 seconds

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Answer:

Explanation:

Assuming the squirrel is jumping off the ground, here's what we know but don't really know...

v₀ = 4.0 at 50.0°

So that's not really the velocity we are looking for. We are dealing with a max height problem, which is a y-dimension thing. Therefore, we need the squirrel's upward velocity, which is NOT 4.0 m/s. We find it in the following way:

\(v_{0y}=4.0sin(50.0)\) which gives us that the upward velocity is

v₀ = 3.1 m/s

Moving on here's what we also know:

a = -9.8 m/s/s and

v = 0

Remember that at the very top of the parabolic path, the final velocity is 0. In order to find the max height of the squirrel, we need to know how long it took him to get there. We are using 2 of our 3 one-dimensional equations in this problem. To find time:

v = v₀ + at and filling in:

0 = 3.1 - 9.8t and

-3.1 = -9.8t so

t = .32 seconds.

Now that we know how long it took him to get to the max height, we use that in our next one-dimensional equation:

Δx = \(v_0t+\frac{1}{2}at^2\) and filling in:

Δx = \(3.1(.32)+\frac{1}{2}(-9.8)(.32)^2\) and using the rules for adding and subtracting sig fig's correctly, we can begin to simplify this:

Δx = .99 - .50 so

Δx = .49 meters

Answer:

I feel it's important to be civilly engaged in my community because it gives me a sense of placement and home in my own community. It also allows me to feel that my voice is being heard and not ignored.