A particle moves in a straight line. Its speed(v)
increases linearly with time. If the initial speed of
the particle is vo and its speed at t = 4 s is 2V
then integration of vdt from 0 to 4 is
(1) Zvo
(3) 6v
(2) 8vo
(4) AVO

Answer:

distance is 180 displacement is 0

Explanation:

Displacement is the distance between one point to another directly in only one direction but distance is the distance traveled altogether in any direction.

The displacement of the car traveling around a rectangular track and returning to the starting point is zero, while the total distance traveled by the car is the sum of all sides of the rectangle, thus 180 cm.

In physics, displacement is defined as the shortest distance from the initial to the final position of a point. Therefore, if a car starts from a point on the track and makes a round trip back to the same point, the displacement of the car is zero.

Total distance traveled by the car, however, is the total length of the path covered by the car. The track is a rectangle with width 30 cm (short side) and length 60 cm (long side). Thus the total distance is calculated by adding up the lengths of all sides of the rectangle (2*30 cm + 2*60 cm) which equals 180 cm.

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In physics, specifically in thermodynamics and fluid dynamics, 'V' typically represents volume, which can be molar or specific volume depending on the context. The constant 'a' in the van der Waals equation accounts for intermolecular attraction, and its units vary with the type of volume 'V' used. These parameters are essential in equations of state to describe real gas behavior.

In the context of physics, particularly in the study of thermodynamics and fluid dynamics, V often represents volume or specific volume. Considering the various equations and contexts provided, V can refer to molar volume or specific volume depending on the equation used. The volume variable is significant in equations of state, such as the ideal gas law and the van der Waals equation.

In the van der Waals equation, expressed as (P+a/V²) (V − b) = RT, 'a' represents the measure of attraction between particles within a gas, and 'b' accounts for the finite volume of gas particles, which is subtracted from the total volume V. Here, a essentially corrects for the intermolecular forces, and its units will vary depending on whether the volume V is specific or molar.

When seeking relationships between changing variables such as pressure (p) and volume V, constants a and b play crucial roles. These constants are parameters in the equation that relate pressure to volume, allowing for adaptations from ideal gas behaviors to more real-life scenarios where gases exhibit non-ideal characteristics.

Answer:

The copper wire stretches 6.25 cm and the steel wire stretches 3.75 cm.

Explanation:

Young's modulus is defined as:

E = stress / strain

E = (F / A) / (dL / L)

E = (F L) / (A dL)

Solving for dL:

dL = (F L) / (A E)

The wires have the same force, length, and cross-sectional area.  So:

dL₁ + dL₂ = (FL/A) (1/E₁ + 1/E₂)

Given that dL₁ + dL₂ = 0.10 m, E₁ = 20×10¹⁰ N/m², and E₂ = 12×10¹⁰ N/m²:

0.10 = (FL/A) (1/(20×10¹⁰) + 1/(12×10¹⁰))

FL/A = 0.75×10¹⁰ N/m

Solving for dL₁ and dL₂:

dL₁ = (FL/A) / E₁

dL₁ = (0.75×10¹⁰ N/m) / (20×10¹⁰ N/m²)

dL₁ = 0.0375 m

dL₂ = (FL/A) / E₂

dL₂ = (0.75×10¹⁰ N/m) / (12×10¹⁰ N/m²)

dL₂ = 0.0625 m

The copper wire stretches 6.25 cm and the steel wire stretches 3.75 cm.

Answer: [tex]6.9 (10)^{-4}[/tex]

Explanation:

When a number is written in scientific notation (representing the number using powers of base ten) it is expressed so that it contains a digit in the place of the units and all other digits after the decimal point, multiplied by the respective exponent.  

Then, the significant digits will be the digits that are before the power of ten.

In the case of [tex]0.00069[/tex]  we have to move the decimal point to the right and the power of base ten will be equal to the spaces moved to the right:

[tex]0.00069=6.9(10)^{-4}[/tex]

The relationship between force, mass, and acceleration is delineated in Newton's second law of motion. This rule, summarized as F = ma, implies that force equals mass times acceleration, and it describes how an object's velocity changes when an external force is applied.

The relationship among force, mass, and acceleration is stated in C. Newton's second law of motion. Newton's second law states that force equals mass times acceleration often expressed as F = ma. In this equation, F stands for force, m for mass, and a for acceleration. This law describes how the velocity of an object changes when it is subjected to an external force. For example, if you push a skateboard (imparting a force), it will accelerate depending on both the force of your push (how much you pushed) as well as the mass of the skateboard.

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stars are made when atoms of light elements are compress under enough force for their nuclei to undergo fusion.

Answer: Creative Thinking process.

Explanation:

Artists process imagination.

Artists don’t use labs.

Scientists and artists have a different type of computer knowledge (artists having graphic design knowledge and scientists knowing more about data.)

Answer:

creative thinking process

Final answer:

The development of heart disease is correlated with factors such as high cholesterol levels, obesity, and high blood pressure. Modifiable lifestyle choices, including diet and exercise, greatly influence cardiovascular health, while diabetes and family history also play significant roles.

Explanation:

The likelihood of developing heart disease is correlated with several factors. High cholesterol levels, particularly high amounts of "bad cholesterol", significantly increase the risk of cardiovascular diseases like coronary artery disease (CAD), where arteries narrow due to the buildup of plaques. Similarly, obesity, which involves having a very high percentage of body fat, especially around the abdomen, similarly elevates the risk for heart conditions.

Furthermore, high blood pressure makes the cardiovascular system work harder than normal, potentially leading to conditions like hypertension and contributing to heart disease. These are some of the modifiable factors affecting heart disease, in addition to lifestyle choices such as diet and exercise, which also play a crucial role in cardiovascular health.

It's important to note that preventing cardiovascular disease is possible by controlling these risk factors. Healthy lifestyle choices, such as quitting smoking, regular exercise, and a balanced diet, can lower a person's risk of developing heart disease. Additionally, being aware of the impact of diabetes and family medical history can help in managing and mitigating the risks associated with heart disease.

Answer:

Explanation:

1. Many buyers and sellers participate in the market.

2. Sellers offer identical products.

3. Buyers and sellers are well informed about products.

4. Sellers are able to enter and exit the market freely.

Answer:   NGC 1427A has no general shape, so it is an irregular galaxy. U has a bulge in the center and arms, so it is a spiral galaxy. They are similar in that both contain plenty of dust and gas. Both also have active star-forming sites.

Answer:

NGC 1427A has no specific shape, so it's an irregular galaxy. U has a spiral like shape so it's a spiral galaxy. They're similar because they both contain plenty of dust and gas. Both also have an active star-forming sites.

Explanation:

Put this as my answer and got it right

Answer:

-2040 m/s²

Explanation:

Taking toward the wall to be positive, the initial velocity is 10.1 m/s and the final velocity is -8.3426 m/s.

Average acceleration is the change in velocity over change in time.

a = Δv / Δt

a = (-8.3426 m/s − 10.1 m/s) / 0.00905 s

a = -2040 m/s²

The average acceleration of the ball while it is in contact with the wall is approximately −2034.39m/s².

The average acceleration of an object is defined as the change in velocity divided by the time interval during which the change occurs. In this case, the tennis ball hits the wall, changes its velocity, and rebounds. The change in velocity is the difference between its initial velocity and its final velocity after rebounding.

Given data:

Initial velocity (vi) = 10.1 m/s (moving toward the wall, positive direction)

Final velocity (vf ) = -8.3426 m/s (moving away from the wall, opposite direction)

Time interval (Δt) = 0.00905s

The change in velocity (Δv) is the difference between the final and initial velocities:

Δv=vf −vi

​Δv = − 8.3426 m/s −10.1m/s=−18.4426m/s

Now, you can calculate the average acceleration (a) using the formula:

a= Δv / Δt

a=  −18.4426m/s / 0.00905s

Calculating this:

a≈−2034.39m/s²

The negative sign indicates that the acceleration is directed toward the wall, which is what we expect since the ball is slowing down as it hits the wall.

So, the average acceleration of the ball while it is in contact with the wall is approximately −2034.39m/s².

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Answer:

4000 J

0.4 m

Explanation:

Kinetic energy is one half the mass times the square of velocity:

KE = ½ mv²

Given m = 0.05 kg and v = 400 m/s:

KE = ½ (0.05 kg) (400 m/s)²

KE = 4000 J

Work = change in energy

W = ΔKE

Fd = KE

(10000 N) d = 4000 J

d = 0.4 m

The 'decision-making process' is a series of steps employed to make well-informed decisions and solve problems efficiently. It encompasses understanding the problem, assembling information, producing options, examining these options, choosing the best one, and implementing and evaluating the outcome.

The answer you're likely seeking is the decision-making process. This process is a series of steps that can aid in making informed decisions and solving problems effectively. This process often includes identifying the problem, gathering information, generating ideas or solutions, evaluating potential solutions, choosing the most suitable solution, and then implementing and assessing this chosen solution. This sequence of steps is used in many contexts, from mathematics to business to personal life.

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Answer:

0.0222 A

Explanation:

V = I*R

[tex]15v = 675ohms \times i \\ i = \frac{15v}{675ohms} = 0.0222 a [/tex]

Using Ohm's law, which is I = V/R, the current I is calculated by dividing the voltage V (15V) by the resistance R (675Ω), resulting in a current of 22.2 milliamps.

The student is asking how to calculate the current in a circuit when given the voltage and resistance. To find the current (I), we use Ohm's law, which is represented by the equation I = V/R, where I is the current in amperes (A), V is the potential difference in volts (V), and R is the resistance in ohms (
). To solve the student's problem:

Voltage (V) = 15 Volts
Resistance (R) = 675 Ohms

Plugging these values into Ohm's law:

I = V/R
I = 15V / 675 Ω
I = 0.0222 A or 22.2 mA (Milliamps)

Therefore, the current in the circuit is 22.2 milliamps.

Answer:

Speed of the ball in position D [tex]=14.92 \frac{m}{s}[/tex]

Explanation:

Given:

Position of B=11.3[tex]\text { meters }[/tex]

Position of D=1.9[tex]\text { meters }[/tex]

Velocity of B=6.2[tex]\text { meters }[/tex]

To Find:

Velocity of D

Solution:

According to the formula, Velocity is given as

[tex]V d=\sqrt{\left[V b^{2}+(2 \times g \times d y)\right]}[/tex]

[tex]V b[/tex]=Velocity of B

[tex]V d[/tex]=Velocity of D

g=acceleration due to gravity=9.8 m/s^2  

[tex]d y[/tex]=Change in position of B and D

Substitute the all values in the above equation we get  

[tex]d y=11.3-1.9[/tex]

[tex]V d=\sqrt{\left[6.2^{2}+(2 \times 9.8 \times(11.3-1.9))\right]}[/tex]

[tex]=\sqrt{[38.44+(2 \times 9.8 \times(9.4))]}[/tex]

[tex]=\sqrt{[38.44+(19.6 \times 9.4)]}[/tex]

[tex]=\sqrt{38.44+186.24}[/tex]

[tex]=\sqrt{222.68}[/tex]

[tex]=14.92 \frac{m}{s}[/tex]

Result :

The velocity of D is [tex]=14.92 \frac{m}{s}[/tex]

Answer:

stronger

Explanation:

A magnet can pull up a metal object because it is stronger than the gravitational force of the entire planet.

Answer:

$55,881

Explanation:

A = P (1 + r)^t

where A is the final amount,

P is the initial amount,

r is the rate,

and t is time.

Given: A = 80468, r = 0.20, and t = 2.

80468 = P (1.20)^2

P ≈ 55881

The sales 2 years ago was approximately $55,881.

Dunkin' Donuts' sales 2 years ago were $55,881.

A = P (1 + r)^t

where A is the final amount, P is the initial amount, r is the rate, and t is time.

A = 80468, r = 0.20, and t = 2.

80468 = P (1.20)^2

P ≈ 55881

The sales 2 years ago were approximately $55,881.

Sales are activities related to selling or the style of products sold in a given focused term. The shipping of a provider for a rate is likewise considered all through a sale.

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mathematically,

[tex]frequency = \frac{1}{t} [/tex]

where t = time

from the question, t= 0.077sec

substitute it in the formula

[tex]frequency = \frac{1}{0.077} [/tex]

[tex]frequency = 12.987 {s}^{ - 1} [/tex]

approximately 13s^-1

If a wave has a period of 0.077 sec, it has a frequency of 12.98.

The frequency of a repeated event is the number of occurrences per unit of time. It is separate from angular frequency and is sometimes referred to as temporal frequency. The frequency is expressed in hertz (Hz), which equals one occurrence per second.

An example is a human heart that can beat at up to 68 beats per minute.

The frequency is the number of times an observation is repeated between the upper and lower class bounds of that class. Cumulative Frequency is the sum of frequencies up to that class.

Frequency = 1 / t

where t = time

from the question, t = 0.077sec

substitute it in the formula

1 / 0.077 = 12.98

Therefore, the frequency of a wave whose period is 0.077 seconds is 12.98.

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Answer:

30 mph

Explanation:

Velocity is displacement over time.  Displacement is the straight line distance between the starting point and ending point.

v = x / t

v = 120 mi / 4 hr

v = 30 mph

The calculated percent error for the student who weighed a 200.0 g mass as 186.5 g is -6.75%, indicating that the measured value was lower than the actual value.

The student's percent error is calculated using the formula [(observed value - true value) / true value] * 100. In this case, the observed value is the value measured by the student, which is 186.5 g. The true value is the actual weight of the object, which is 200.0 g. By substituting these values into the formula, we get percent error = [(186.5 g - 200.0 g) / 200.0 g] * 100, resulting in a percent error of -6.75%. This negative value indicates that the measured value is lower than the actual value.

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Answer:

Beth went back toward her origin

Explanation:

Please, see the attached image that represent's Beth's path.

She started her walk 2 meters from the origin (0) and after 6 seconds she headed back to position zero (0) the origin. Notice the second half of the graph as a segment going down, thus reducing her distance from the origin, and getting closer to it.

Answer:

Beth went back toward her origin.

Beth speed up considerably.

Explanation:

speed of the object is defined as the slope of the position time graph

here we know that

initially it moves from t = 0 to t = 6 from x = 2 to x = 8

so the slope is given as

[tex]v = \frac{x_2 - x_1}{t_2 - t_1}[/tex]

[tex]v = \frac{8 - 2}{6 - 0}[/tex]

[tex]v = 1 m/s[/tex]

similarly for next we have

again it comes to x = 0 after t = 10 s

so the speed is

[tex]v_2 = \frac{x_3 - x_2}{t_3 - t_2}[/tex]

[tex]v_2 = \frac{0 - 8}{10 - 6}[/tex]

[tex]v_2 = -2 m/s[/tex]

so here the velocity is negative which shows that it will move in reverse direction also its velocity is also increase

so correct answers are

Beth went back toward her origin.

Beth speed up considerably.

Answer:

32.5 m/s

Explanation:

Assuming the acceleration is uniform, the average velocity is simply the average of the initial and final velocities.

v_avg = (v₀ + v) / 2

v_avg = (25 + 40) / 2

v_avg = 32.5

Answer: D

Explanation:

We can immediately cross out A because theories and laws are completely different

We can then cross out B because laws have to go through many trials to prove them

C is wrong because laws and hypothesis are completely different

So that leaves us with D. Hope this helps!

Answer:

Scientific theories summarize patterns found in nature.

Explanation:

A scientific theory is an explanation of certain observed patterns. Scientific theories can be constantly improved, depending on the new phenomena observed that are studied through experiments that follow the scientific method. Therefore, a scientific theory allows to acquire an increasingly accurate knowledge about the mechanisms responsible for the patterns observed in nature.

Answer:

D.) Logic

Explanation:

Definition:

the reasoning conducted or assessed according to strict principles of validity.

Hope this helps you out ; D

D. Logic.

Scientific information has been the consequence of scientific method, which is based on reason and observation. Hence, the gathering and interpretation of information in a scientific must be based on logic and reasoning, which are based on rules of inference, on what it is observed.

We conclude that correct choice is D.

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Answer:

50 m/s²

Explanation:

From Newton's second law:

F = ma

25 N = (0.50 kg) a

a = 50 m/s²

The acceleration of a softball with a mass of 0.50kg and a force applied of 25N can be found by using Newton's second law of motion (F=ma). Upon rearranging the equation to solve for acceleration (a) and substituting the given values, we find that the acceleration is 50 m/s².

To find the acceleration of the softball, we use Newton's Second Law of Motion, which states that the acceleration of an object is dependent upon the net force acting upon the object and the mass of the object, represented by the formula F = ma, where F is force, m is mass, and a is acceleration.

In this case, the force (F) applied on the softball is 25N and the mass (m) of the softball is 0.50kg. Rearranging the equation of Newton's second law to solve for acceleration (a), we get a = F/m.

Substituting the given values, we have a = 25N / 0.50kg. Solving the equation yields an acceleration (a) of 50 m/s².  

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Answer: scientific laws or the laws of science are statements that describe or predict a range of natural phenomena

Explanation:

Explanation:

Newton's first law says that an object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force.

When a roller coaster makes a sharp turn, your body continues going straight until the seat belt pushes you and changes your direction.  If the roller coaster didn't have seat belts, you'd slide off and continue moving straight.

Answer:

Growths stock

Explanation:

Gradpoint verified

Answer:

a) 7200 ft/s²

b) 140 ft

c) 3.7 s

Explanation:

(a) Average acceleration is the change in velocity over change in time.

a_avg = Δv / Δt

We need to find what velocity the puck reached after it was hit by the hockey player.

We know it reached 40 ft/s after traveling 90 feet over rough ice at an acceleration of -20 ft/s².  Therefore:

v² = v₀² + 2a(x − x₀)

(40 ft/s)² = v₀² + 2(-20 ft/s²)(100 ft − 10 ft)

v₀² = 5200 ft²/s²

v₀ = 20√13 ft/s

So the average acceleration impacted to the puck as it is struck is:

a_avg = (20√13 ft/s − 0 ft/s) / (0.01 s)

a_avg = 2000√13 ft/s²

a_avg ≈ 7200 ft/s²

(b) The distance the puck travels before stopping is:

v² = v₀² + 2a(x − x₀)

(0 ft/s)² = (5200 ft²/s²) + 2(-20 ft/s²)(x − 10 ft)

x = 140 ft

(c) The time the puck takes to travel 10 ft without friction is:

t = (10 ft) / (20√13 ft/s)

t = (√13)/26 s

The time the puck travels over the rough ice is:

v = at + v₀

(0 ft/s) = (-20 ft/s²) t + (20√13 ft/s)

t = √13 s

So the total time is:

t = (√13)/26 s + √13 s

t = (27√13)/26 s

t ≈ 3.7 s

The average acceleration or the total time will be:

According to the question,

Velocity,

Acceleration,

(a)

As we know,

→     [tex]v^2=v_0^2+2a(x-x_0)[/tex]

By substituting the values, we get

→ [tex](40)^2=v_0^2+2(-20)(100-10)[/tex]

→     [tex]v_0^2=5200 \ ft^2/s^2[/tex]

→          [tex]= 20\sqrt{13} \ ft/s[/tex]

Now,

The average acceleration will be:

→ [tex]a_{avg} = \frac{\Delta v}{\Delta t}[/tex]

→         [tex]= \frac{20\sqrt{13}-0 }{0.01}[/tex]

→         [tex]= 2000\sqrt{13} \ ft/s^2[/tex]

→         [tex]= 7200 \ ft/s^2[/tex]

(b)

The distance will be:

→   [tex]v^2=v_0^2+2a(x-x_0)[/tex]

→ [tex](0)^2= 5200+2(-20)(x-10)[/tex]

→     [tex]0= 5200-40(x-10)[/tex]

→     [tex]x = 140 \ ft[/tex]

(c)

The time taken to travel 10 ft will be:

→ [tex]t = \frac{10}{20\sqrt{3} }[/tex]

     [tex]= \frac{\sqrt{13} }{26} \ s[/tex]

The time taken over rough ice will be:

→ [tex]v = at+v_0[/tex]

  [tex]0=-20t+20\sqrt{13}[/tex]

[tex]20t = 20\sqrt{13}[/tex]

   [tex]t = \sqrt{13} \ s[/tex]

hence,

The total time taken will be:

→ [tex]t = \frac{\sqrt{13} }{26} +\sqrt{13}[/tex]

     [tex]= \frac{27\sqrt{13} }{26}[/tex]

     [tex]= 3.7 \ s[/tex]

Thus the above answers are correct.    

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According to Newton’s law of universal gravitation, as we move to higher altitudes, the force of gravity on us decreases and as we gain mass, the force of gravity on us increases both are the true statement.  

Explanation:  

Newton law of universal gravity extends gravity beyond the earth's surface. This gravity depends on the masses directly and inverse to the distance square between their centers.

                                         [tex]F=G \frac{M \times m}{r^{2}}[/tex]

Where,

F – Force, G – gravitational constant, M and m – masses in kg, r – distance in meters.

Since force is proportional to the masses of interacting objects. If the mass of any one object increases, gravity between them also gets increased. When moving to higher altitude, force decreases as the distance is inverse proportion to gravity.