A car initially traveling at 15 m/s North accelerates to 25 m/s North in 4 seconds. The magnitude of the average acceleration is?

Joe throws his ball vertically upward with an initial speed twice as high as the Bill. The maximum height of Joe's ball is 4 times of the maximum height of Bill's ball.

The equation of motion for the upward vertical motion is:

v² = u² - 2.gh

Where

v = final velocity

u = initial velocity

h = height

g = acceleration due to gravity

At the maximum height, the final speed is zero, hence:

0 = u² - 2.gh

u² = 2.gh

Therefore, the maximum height is directly proportional to the square of initial speed.

In the problem, u_joe =  2 x u_bill

Hence,

(u_joe)² : (u_bill)² = h_joe : h_bill

(2xu_bill)² : (u_bill)² = h_joe : h_bill

h_joe : h_bill = 4 : 1

Thus, the maximum height of Joe's ball is 4 times of the maximum height of Bill's ball.

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kinetic energy of the ball of mass 50 g and velocity of 300m/s is 22.5 J. The work done need to stop the ball is equivalent to its kinetic energy. Thus, 22.5 J of work done is needed.

The kinetic energy of an object is the energy generated by virtue of its motion. It is related to its mass and velocity by the expression written below:

Ke = 1/2 m v²

Thus, kinetic energy increases with mas and velocity.

Given that, mass of the ball = 50 g = 0.05 kg

velocity of  the ball = 30 m/s

then Ke = 1/2  × 0.05 kg × 30 m/s × 30 m/s = 22.5 J.

The energy of the body when it is moving is in the form of kinetic energy. This energy of the body is equivalent to the work done on the body to stope it. Therefore, work done on the ball needed to stop it is 22.5  J.

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As long as the applied stress is removed, a material that is linearly elastic experiences stress and strain that are directly proportional within the elastic limit.

In a material that is linearly elastic, the Young's modulus (E), stress, and strain are all related by the equation you supplied, E =. Here is a quick definition of each phrase:

(E) Young's modulus It is a way to gauge how hard or stiff a material is. Within the elastic limit of the material, it indicates the stress to strain ratio. The stiffer the material, the higher the Young's modulus.

Stress (): The force exerted to a material's surface area is called stress. The internal resistance of a material to deformation under an applied force is measured by stress.

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Answer:

Correct Answer: Option B

Explanation:

Explanation

P1/T1 = P2/T2

80/(273+47) = P1/(273+27) = 75Nm-2

Answer: 75.0 Nm^-2

Explanation:

P1/T1 = P2/T2 80/(273+47) = P1/(273+27) = 75Nm-2

Answer: mixture

Explanation: mixture contains two or more substances which are not chemically bonded together

Answer:

B. Mixture

Explanation:

Explanation:

Force is push or pull on a body.

Contact force is a force that requires contact. It acts between two body that touches on another.

Examples are pushing a car, ringing a bell, kicking a ball.

Non contact forces are forces applied to another object without contact. The action of this force is usually through a targeted force field.

Examples are magnetic force, gravitational force

The speed of water at the end of spillway is 58.5 (m/s)

Calculation:

According to the Bernoulli equation:

P/x + v^2/2 + gz = constant

The initial vertical height of 175 m

However, the atmospheric pressure and density are essentially the same at the peak and bottom of the falls. Therefore,

v^2/2 + gz = constant , so:

v_bottom^2/ 2 = v_top^2/2 + gz, or:

v_bottom = √(v_top^2 + 2gz) = √(v_top^2 + 2g*175)

If v_top ≈ 0, then:

v_bottom = √(2gz) = √(2*9.8*175) = 58.5  (m/s)

What is the flow rate of water?

The amount of water that might theoretically flow out of your kitchen faucet or bathtub each minute is measured by your water flow rate, sometimes referred to as the gallons per minute (GPM). the flow rate is affected by a number of variables, but the household size is the most important one.

Therefore,  the highest possible speed of the water at the end of the spillway is 58.5m/s

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The final velocity of the first ball after the collision is 1.167 m/s to the west.

The given parameters;

Let the velocity of the first ball after collision = v₁

Let the velocity of the ball at rest after collision = v₂

Apply the principle of conservation of linear momentum;

\(m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2\\\\0.4(3.7)+ 0.2(0) = 0.4(-v_1) + 0.2v_2\\\\1.48 = -0.4v_1 + 0.2v_2\)

Apply one-directional velocity formula;

\(u_1 + v_1 = u_2 + v_2\\\\3.7 - v_1 = 0 + v_2\\\\v_2 = 3.7 -v_1\)

substitute the value of v₂ into the above equation;

\(1.48 = -0.4v_1 \ + \ 0.2(3.7 -v_1)\\\\1.48 = -0.4v_1 + 0.74 - 0.2v_1\\\\0.74 = -0.6v_1\\\\v_1 = \frac{-0.74}{0.6} \\\\v_1 = -1.167 \ m/s\)

\(v_2 = 3.7 + 1.167\\\\v_2 = 4.867 \ m/s\)

Thus, the final velocity of the first ball after the collision is 1.167 m/s to the west.

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Answer:

No.

Explanation:

A feather is less dense and thus less force exerted while a rock is very dense thus exerting more force .

Ok so it usually includes the evaluation of symptom and disorder severity, patterns of symptoms over time number, frequency, and duration of episodes, and the patient's strengths and weaknesses.

Answer:

3×10^6

Explanation:

frequency is the speed of light ( c) which is a constant number divided the wavelength

f = 3×10^6 / 1.0

Answer:

All forces are either balanced or unbalanced and each force acts in different ways.

Answer:

Its scatter plot graph.

Explanation:

I took the test and got it right soo your welcome.

A) Minimum recommended spiral parameter: 150.03m.

b) Distance P: 150.03m.

c) Distance Q: 4.122m.

d) Angle Φs: 16°30'14.0".

e) Distance Tc: 150.03m.

a) Calculation for the minimum recommended spiral parameter:

Design radius (R) = 300 m

Maximum superelevation (e_max) = 0.06 m/m

Spiral Parameter (A) = (R + e_max) / 2

A = (300 m + 0.06 m/m) / 2

A ≈ 150.03 m

b) Calculation for the distance P:

Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.

P ≈ 150.03 m

c) Calculation for the distance Q:

Distance Q represents the length of the circular curve. It is given by the formula:

Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)

Deflection angle at Point of Intersection = 16°30'14.0"

Converting the angle to decimal degrees:

16° + (30'/60) + (14.0"/3600) = 16.504°

Q = 16.504° / (360° / D)

Q ≈ D / 21.814

Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.

Q ≈ 90° / 21.814

Q ≈ 4.122 m

d) Calculation for the angle Φs:

The angle Φs is the deflection angle at the Point of Intersection.

Φs = 16°30'14.0"

e) Calculation for the distance Tc:

Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.

Tc ≈ 150.03 m

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This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

One method to separate a mixture of colored inks is chromatography. Chromatography is a physical separation technique used to separate mixtures based on their molecular properties. In the case of colored inks, paper chromatography is a commonly used technique.

In paper chromatography, a small amount of the ink mixture is spotted onto a piece of chromatography paper, and the paper is placed in a container with a small amount of solvent (e.g. water, alcohol, or acetone). The solvent moves up the paper by capillary action, carrying the ink mixture with it. As the solvent moves up the paper, different components of the ink mixture are separated and are visible as colored bands.

The separation occurs because different components of the mixture have different affinities for the paper and the solvent. Components that are more soluble in the solvent will move up the paper more quickly, while those that are more attracted to the paper will move up more slowly. This results in a separation of the components based on their physical and chemical properties.

By comparing the separated bands of the ink mixture to those of known pure inks, the identity of each component in the mixture can be determined. This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

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A likely method to separate a mixture of colored inks is through chromatography, a technique used to separate components of a mixture. It separates the ink into its constituent colors by allowing a solvent to travel up a stationary phase like paper, carrying the ink mixture with it.

A method that would likely be used to separate a mixture of colored inks is chromatography. Chromatography is a method used in chemistry to separate components of a mixture. It works by using a stationary phase and a mobile phase. In the case of ink separation, the ink mixture would be placed on a stationary phase (like paper), and a solvent (the mobile phase) would be allowed to travel up the paper. As the solvent travels, it moves the mixture along its path. Each component of the ink by their size, chemical properties, and interaction with the solvent and paper will move at different rates, thereby separating the ink into its constituent colors. This method is particularly useful in analyzing the chemical composition of inks and other similar mixtures.

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ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

It is impossible to answer that as we could discover more than we know now in years to come with advanced technologies

Explanation:

Answer:

Explanation:

The formula for kinetic energy  Ke=1/2mv^2 where Ke is kinetic energy, m=mass, and v= velocity.

If the kinetic energy is increased that means that there must be an increase in mass or velocity. However, since the velocity is squared that means that velocity affects the kinetic energy of the object more than the mass does.

Answer:

The GPE, stored is 640 Joules

Explanation:

The given parameters are;

The given mass of the astronaut, m = 80 kg

The height of the top of the lunar lander to which the astronaut climbs, h = 5 m

The gravity strength on the moon, g = 1.6 N/kg

The Gravitational Potential Energy, GPE, stored is given according to the following equation;

GPE stored = m·g·h

Therefore, by substituting the known values, we have;

GPE Stored = 80 kg × 1.6 N/kg × 5 m = 640 Joules

The GPE, stored = 640 Joules.

Answer:

False

Explanation:

Answer:

first

Explanation:

Newton's Newton's first law of motion states that for every action and there's an equal and opposite reaction

Answer:

D. Third

Explanation:

Answer:

speed

Explanation:

Given: an incomplete sentence

To fill: the blank

Solution:

Speed is not a vector quantity but a scalar quantity as it has magnitude but no direction.

Speed = Distance ÷ Time

You can calculate an average speed if you know both the total distance and the total time of the trip.

Average speed = Total distance ÷ Total time

Answer:

6, this could be wrong. (but I believe it is correct)

Explanation:

w=Fs

The work done on the car is the product of force and displacement. The work done by the force of 3N for a displacement of 3 m is 6 J.

Work done is the physical quantity that describes effectives of force in changing the motion of an object. When a force applied on an object results in a displacement, the force is said to be work done on the body.

Like force, work done is a vector quantity having both magnitude and direction. Thus work done can have both positive and negative values.

Work done is the dot product of force and displacement.

W = F .ds

Given, force applied on the car = 3 N

displacement ds = 2 m

Then force = 3 N × 2 m = 6 J

Therefore, the work done on the car to make the displacement is 6 J.

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In the case when the swimmer push away so the momentum should be equal but it should be opposite.

Momentum means the product of the mass of a particle and its velocity. It is a vector quantity, it applied to both magnitude and direction. Since the swimmers are push away so here the momentum should be equal but it should be an inverse direction, not the direct direction.

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The magnitude of vector C is 15.5. The angle with positive x axis is 209.4°.

The vector A is given as

\(\vec{A}\) = \(A_x\)Î + \(A_y\)Ĵ

   = 0Î + AĴ

   = 18Ĵ

The vector B is given as,

\(\vec{B}\) = \(B_x\) Î + \(B_y\)Ĵ

= B cos (90° - 30°)î-B sin (90° -30°) Ĵ

= B cos 60°Î - B sin 60°Ĵ

= 12 cos 60°Î  - 12 sin 60°ĵ

= 6Î - 10.39Ĵ

The vector A+B is given as

\(\vec{A}+\vec{B}\) = 18Ĵ + 6Î - 10.39Ĵ

          = 6Î + 7.61Ĵ

The resultant of vectors A, B, and C is 7.50 units along the -x axis. Then the y component of C vector must be equal and opposite to the y component of vector A+B. That is,

\(C_y= A_y + B_y\)

    = -7.61

Then the sum of the x component of all three vectors will be equal to -7.5. Then the x component of vector C is determined as follows:

\(A_y+B_x+C_x = -7.5\\0+6+C_x=-7.5\\C_x=-13.5\)

The magnitude of vector C is given as,

\(C=\sqrt{C_x^2+C_y^2}\\C = \sqrt{(-13.5)^2+(-7.61)^2}\\C=15.5\)

The angle \(\phi\) is given as,

\(\phi = tan^{-1}(\frac{-7.61}{-13.5})\\\phi = 29.4\\\)

The angle with positive x axis is given as,

\(\phi'=\phi\) + 180°

=29.4° +180°

= 209.4°

A vector is a mathematical object that has both magnitude and direction. A vector is typically represented as an arrow in a coordinate system, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Vectors can be used to describe various physical quantities such as velocity, acceleration, force, and displacement. They are commonly used in calculus, linear algebra, and geometry. In linear algebra, vectors are used to represent points in a space, and they can be added and multiplied by scalar values to create new vectors. This allows for the creation of vector spaces, which are important in many areas of mathematics and physics.

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Complete Question:-

In this figure, the magnitude of vector A is 18.0 units, and the magnitude of vector B is 12.0 units. What vector C must be added to the vectors A and B in Fig. 1.3 so that the resultant of these three vectors points in the -x-direction and has a magnitude of 7.50 units? Use vector components to find your answer, and express vector C by giving its magnitude and the angle it makes with the x-axis taking counter clockwise to be positive.

Answer: 0.899

Explanation:

acellus

Answer: 0.899

Explanation: It's right in acellus I just did it

The wolf's kinetic energy is 2,500 joules, calculated using the formula KE = 0.5 × mass × velocity².

The kinetic energy of an object is the energy it possesses due to its motion.

It can be calculated using the formula KE = 0.5 × mass × velocity², where KE represents kinetic energy, mass is the object's mass in kilograms, and velocity is its speed in meters per second.

In this case, the mass of the wolf is 50 kg, and its velocity is 10 m/s.

Plugging these values into the formula, we get KE = 0.5 × 50 × (10)², which simplifies to KE = 0.5 × 50 × 100.

Therefore, the wolf's kinetic energy is 2,500 joules.

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The change in gravitational potential energy of the dog is -176.58 J.

The change in gravitational potential energy of an object is given by:

ΔPE = mgh

where

ΔPE is the change in gravitational potential energy

m is the mass of the object

g is the acceleration due to gravity, and

h is the change in height.

In this case, the dog jumps off a 10 m staircase down to his doggy house which is 4 m high. So the change in height,

h = -6 m (negative because the dog is moving downwards).

g = 9.81 m/s^2

m = 3 kg.

Substituting these values into the equation above, we get:

ΔPE = mgh

ΔPE = (3 kg)(9.81 m/s^2)(-6 m)

ΔPE = -176.58 J

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