What are three key aerodynamics principles?
A Drag, height, and acceleration
B Drag, downforce, and drafting
C Acceleration, downforce, and motion D Acceleration, height, and motion

Answer:

33 hours

Explanation:

7.5 + 6.5 = 13 + 1

14 + 10 = 24

9= 6+3

24 + 6 = 30

30+3= hours

Answer:

Atomic clocks are the most accurate time and frequency standards known, and are used as primary standards for international time distribution services, to control the wave frequency of television broadcasts, and in global navigation satellite systems such as GPS.

Answer:

15 V

Explanation:

From the question,

For series connection: (i) Both resistor have a common current flowing through the (ii) The combined resistance = R1+R2

Rt = R1+R2.................. Equation 1

Given: R1 = 5 ohms, R2 = 7.5 ohms.

Rt = 5+7.5 = 12.5 ohms.

Applying Ohm's law,

V = IRt................... Equation 2

Where V = Voltage, I = current.

make I The subject of the equation

I = V/Rt.............. Equation 3

Given: V = 25 V, Rt = 12.5 ohms.

Substitute into equation 3

I = 25/12.5

I = 2 A.

Now,

Voltage drop across the 7.5 ohms resistor = R2×I

Voltage drop across the 7.5 ohms resistor = 7.5×2

Voltage drop across the 7.5 ohms resistor = 15 V

Answer:

B. The refridgerant

Explanation:

this allows the refrigerant to absorb or release heat

Natural frequency of vibration refers to the inherent characteristic frequency at which an object or system tends to vibrate when disturbed. This frequency is determined by the object's physical properties and can vary depending on its size, shape, and material composition.

When an object is subjected to a disturbance or force, it will vibrate at its natural frequency. This phenomenon is similar to a tuning fork vibrating at its specific frequency when struck. Each object or system has a unique natural frequency, and when the external force matches this frequency, it leads to resonance, causing the object to vibrate with maximum amplitude.

The natural frequency of vibration is an essential concept in various fields, including mechanics, engineering, and physics. It helps in understanding how objects respond to external forces and how vibrations can be controlled or utilized in practical applications, such as in musical instruments, bridges, or buildings, to avoid destructive resonance effects.

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Answer:

because the knife is sharp

Answer:

Pressure is inversely proportional to the area of the surface. While a blunt knife has more area coming in contact than a sharp knife and the pressure exerted by the blunt knife will be less as compared to that of a sharp knife. Therefore it is easier to cut with a sharp knife.

Explanation:

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Isaac Newton is widely recognized as one of the most influential scientists in history, and his contributions to the field of astronomy cannot be overstated. Newton's most significant contribution to astronomy was his explanation of the laws of motion and gravity.

In his seminal work, "Philosophiæ Naturalis Principia Mathematica," Newton formulated three laws of motion and the law of universal gravitation. These laws provided a framework for understanding how celestial bodies move through space and interact with each other.

Newton's laws of motion and gravity revolutionized the study of astronomy and allowed for more accurate predictions of planetary orbits and movements. They also led to the discovery of new celestial bodies, including comets and asteroids. Additionally, Newton's work laid the foundation for further scientific advancements, including the development of spaceflight technology.

Overall, Newton's contributions to the field of astronomy were groundbreaking and continue to shape our understanding of the universe today.

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The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.

We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

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Answer:

A. Nuclear fusion

Explanation:

got it right, trust

Answer:-4410 m

Explanation:

Displacement = velocity*time

Displacement = -98 m/s * 45 s

Displacement = -4410 m

Answer:

0.6

Explanation:

Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.

The momentum of a puck is determined by its mass, velocity, and direction. Since both pucks have the same mass, the one with the greater velocity in the x-direction will have the larger x-direction momentum.

Puck A has a velocity of 5 m/s at an angle of 35 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.39 m/s in the x-direction.

Puck B has a velocity of 6 m/s at an angle of 70 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.83 m/s in the x-direction.

Therefore, Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.

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For the given transfer function P(s) = 10 / [s(s+2)(s+5)] with a proportional feedback controller C(s) = Kp and unity feedback, there are 3 RL asymptotes in the root locus (RL) construction.

Determine the open-loop poles and zeros
Poles: Set the denominator of P(s) equal to zero and solve for s.
s(s+2)(s+5) = 0
The poles are s = 0, s = -2, and s = -5.  

Calculate the number of RL asymptotes
The number of RL asymptotes is given by the difference between the number of open-loop poles and open-loop zeros.
Since there are no zeros in P(s), there are 3 poles - 0 zeros = 3 RL asymptotes.
In conclusion, for the given transfer function P(s) = 10 / [s(s+2)(s+5)] with a proportional feedback controller C(s) = Kp and unity feedback, there are 3 RL asymptotes in the root locus (RL) construction.

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Answer:

He has 5,609,404 J of potential energy

Explanation:

P.E. = M*G*H

65 * 9.8^2 * 8800

The potential energy of the climber whos weight is 65 kg at a height of 8800 m is 5.6 × 10⁶ Joules.

The potential energy of a body is defined as that generated by virtue of its position which is the form of energy stored in an object when it is at rest. When a body stops its motion, its kinetic energy is converted into potential energy.

Potential energy is related to the mass 'm' and height 'h' of the object from the ground and the acceleration due to gravity g is expressed as:

PE = m g h.

For above given information, mass of the climber = 65 Kg

Height of the mountain = 8800 m

g = 9.8 m/s²

Thus, PE = 65 kg × 8800 m × 9.8 m/s² = 5.6 × 10⁶ Joules.

Thus, the potential energy of the climber will be 5.6 × 10⁶ Joules.

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(a) The free-body diagram of the beam with the woman standing x-meters to the right of the first pivot is shown below:

Beam Diagram

(b) The woman is the furthest to the right when the normal force F⃗ N 1 is the greatest. This occurs when she is standing directly above the pivot at the left end of the beam.

(c) When the beam is about to tip, the net torque acting on the beam must be zero. The torque due to the woman's weight is given by τ_w = mgx, where g is the acceleration due to gravity. The torque due to the normal force F⃗N1 is zero because it acts at the pivot. Therefore, we have:

τ_net = τ_w - F_N2*l/2 = 0

Solving for F_N1, we get:

F_N1 = (mgx)/(L-l/2)

When the beam is about to tip, the normal force F⃗N1 is at its maximum value.

(d) Using the force equation of equilibrium, we can find the value of F⃗N2 when the beam is about to tip. The sum of the vertical forces must be zero, so we have:

F_N1 + F_N2 - Mg - mg = 0

Substituting the expression for F_N1 from part c), we get:

F_N2 = Mg + mg - (mgx)/(L-l/2)

(e) Using the result from part c) and the torque equilibrium equation, we can find the woman's position when the beam is about to tip. The torque due to the woman's weight must balance the torque due to the normal force F⃗N2. Therefore, we have:

mgx = F_N2*(L-x)

Substituting the expression for F_N2 from part d), we get:

mgx = (Mg + mg - (mgx)/(L-l/2))*(L-x)

Solving for x, we get:

x = (L*(M+m) - lm)/(2M + 2m - (2m*L)/(L-l))

Substituting the given values, we get:

x = 4.31 m

Therefore, the woman's position when the beam begins to tip is 4.31 meters to the right of the left pivot.

(f) We can check our answer by using a different axis of rotation. Let's choose the pivot at the right end of the beam as the axis of rotation. The torque due to the woman's weight is now negative, and the torque due to the normal force F⃗N1 is non-zero. Therefore, we have:

τ_net = -mg(L-x) + F_N1*l/2 = 0

Solving for F_N1, we get:

F_N1 = (2mgL - 2Mgx - mgl)/(2*l)

Substituting the given values, we get:

F_N1 = 594.0 N

This is the same value we obtained in part (c). Therefore, our answer is consistent with the laws of physics

The statement "the electromotive force has units of newtons (n)." is false because  the electromotive force is a fundamental concept in electrical circuits, and it is measured in volts, not newtons.

The electromotive force, also known as EMF, does not have units of newtons (N). Instead, it is measured in volts (V).

EMF is the force that causes electric charges to move through a circuit. It is the energy that is supplied by a source, such as a battery or generator, to move electrons from a low potential point to a high potential point. The EMF is the work done per unit charge in moving an electric charge between two points in a circuit, and its unit is volts.

The relationship between EMF and potential difference (voltage) is that EMF represents the total energy provided by the source per unit charge, while potential difference is the energy required to move a unit charge through the circuit.

Therefore, the EMF and potential difference are related by the equation:

EMF = potential difference + internal resistance.

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Answer:

the answers for the first 3 are

C

A

C

Explanation:

A person would be 30 feet (y) 8 seconds (x) after the experiment begins.

The scatterplot shows a linear relationship between the distance (in feet) from the motion sensor and the time (in seconds) since the start of the experiment.

Using the two labeled points (8 seconds, 21 feet) and (15 seconds, 57 feet), we can use the line equation y = mx + b to create a linear model. The slope (m) equals (57 feet - 21 feet)/(15 seconds - 8 seconds) = 36 feet/7 seconds, and the y-intercept (b) equals 21 feet.

Using the linear model, we can estimate that a person would be 30 feet (y) 8 seconds (x) after the experiment begins.

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Answer:

a)15m/s

b)7.5m/s

Explanation:

a)use the formula for acceleration

b)calculate distance then calculate speed

Answer: The correct order of energy transformation is from CHEMICAL ENERGY to ELECTRICAL ENERGY to LIGHT ENERGY

Explanation:

Energy which is simply defined as the ability to perform work is made up of different forms, these include:

- Mechanical energy: Associated with machines at work.

- LIGHT ENERGY: produced by light bulbs

- ELECTRICAL ENERGY: taking in by television set and other electrical appliances.

- CHEMICAL ENERGY: stores in food and other fuels

- Sound energy: Produced by vibrating objects example piano, drums.

According to the law of conservation of energy, energy can neither be created nor destroyed in a closed system, but can be transformed from one form to another, thereby keeping the energy in the closed system constant. From the question, the circuit is an example of a closed system and the order of energy transformation taking place is from the battery (CHEMICAL ENERGY) to ELECTRICAL ENERGY(power source) to LIGHT ENERGY(bulb). I hope this helps, thanks.

If λ occurs as an eigenvalue of A with multiplicity r, then there are r linearly independent eigenvectors associated with λ, and the geometric multiplicity of λ is equal to r.

Let A be an n × n matrix. An eigenvalue of A is a scalar λ such that there is a nonzero vector x satisfying the equation Ax = λx. This equation can be rewritten as the linear system (A − λI)x = 0, where I is the identity matrix. Nontrivial solutions to this equation exist if and only if the matrix A − λI is singular, which means that its determinant is zero. Thus, the eigenvalues of A are the roots of the polynomial equation det(A − λI) = 0, which is called the characteristic equation of A. The algebraic multiplicity of an eigenvalue is the number of times it appears as a root of the characteristic equation. The geometric multiplicity of an eigenvalue is the dimension of the eigenspace associated with that eigenvalue. The eigenspace of an eigenvalue λ is the set of all eigenvectors of A associated with λ, along with the zero vector.

The rank of A is the dimension of its column space, which is the span of its column vectors. The rank of A is equal to the dimension of the row space of A, which is the span of its row vectors. The rank of A is also equal to the number of nonzero singular values of A. If the rank of A is r, then the dimension of the nullspace of A is n − r. If A has r linearly independent eigenvectors associated with a particular eigenvalue λ, then the geometric multiplicity of λ is r. If the algebraic multiplicity of λ is greater than its geometric multiplicity, then there are not enough eigenvectors to form a basis of the eigenspace associated with λ, which means that A is not diagonalizable. If the algebraic multiplicity of λ is equal to its geometric multiplicity, then A is diagonalizable. If λ occurs as an eigenvalue of A with multiplicity r, then there are r linearly independent eigenvectors associated with λ, and the geometric multiplicity of λ is equal to r.

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Answer:

15 cm

Explanation:

using the thin lens formula for convex lens

                            \(\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\\ \\where f = focal length \\ p = object distance \\ q = image distance\\\)

 so,

         \(\frac{1}{q} = \frac{1}{f} - \frac{1}{p} \\\\\frac{1}{q} = \frac{1}{10} - \frac{1}{30} \\\frac{1}{q} = \frac{2}{30}\\\frac{1}{q} = \frac{1}{15cm}\)

so,

    q = 15 cm

B

Explanation:

yeah but I don't know what

The Poynting vector for the given electric and magnetic fields is S = 33.12^i - 57.84^j + 2.56^k (units: W/m²).To determine the Poynting vector, we can use the formula:

S = E x B

where S is the Poynting vector, E is the electric field vector, and B is the magnetic field vector.

Given:

E→ = (80.0^i + 32.0^j - 64.0^k) N/C

B→ = (0.200^i + 0.0800^j + 0.290^k) µT

Let's convert the magnetic field from µT to T by multiplying it by 10^-6.

B→ = (0.200^i + 0.0800^j + 0.290^k) T

Now we can calculate the cross product of E→ and B→ to find the Poynting vector:

S = E x B

Expanding the cross product, we get:

S = (E_y * B_z - E_z * B_y) i + (E_z * B_x - E_x * B_z) j + (E_x * B_y - E_y * B_x) k

Plugging in the given values, we have:

S = (32.0 * 0.290 - (-64.0) * 0.0800) i + ((-64.0) * 0.200 - 80.0 * 0.290) j + (80.0 * 0.0800 - 32.0 * 0.200) k

Simplifying the calculations, we find:

S = 33.12 i + (-57.84) j + 2.56 k

Therefore, the Poynting vector for the given electric and magnetic fields is S = 33.12^i - 57.84^j + 2.56^k (units: W/m²).

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Answer:number one

Explanation:

the watermelon is going to get pressured and burst

The distance that the block slides before stopping is proportional to the initial velocity squared and inversely proportional to the coefficient of kinetic friction between the block and the floor.

To solve this problem, we can use the equation:

\(d = (v_0^2/2\mu g)\)

where v_0 is the initial velocity of the block, μ is the coefficient of kinetic friction between the block and the floor, and g is the acceleration due to gravity.

Part A:

If the mass of the block is doubled but its initial velocity is not changed, the force required to stop the block will be doubled. This means that the frictional force acting on the block will also be doubled, so we can use the same equation as before but with a coefficient of friction that is twice as large:

\(d = (v_0^2/4 \mu g)\)

Part B:

If the initial velocity is doubled to 2v_0 but the mass is not changed, the force required to stop the block will also be doubled. However, the frictional force acting on the block will remain the same, so the block will slide four times as far before coming to a stop:

\(d = (4v_0^2/2\mu g) = 2v_0^2/\mu g\)

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The distance from the axis of the force applied is 2.05 m.

The distance from the axis of the force applied is calculated as follows;

The formula for torque;

τ = Fr

where;

Another formula for torque is given as;

τ = Iα

where;

τ = (mr²)α

τ = (25 kg x (0.925 m)²) x (1.84 rad/s²)

τ = 39.36 Nm

The distance is calculated as;

r = τ/F

r = ( 39.36 Nm ) / (19.2 N)

r = 2.05 m

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