A parachute on a racing dragster opens and changes speed of the car from 85 m/s to 45 m/s in a period of 4.5 seconds. What is the acceleration of the dragster

Answer:

D

Explanation:

The angle I can rightly be called the angle of reflection.

The incident ray, the reflected ray, and the normal all reside on the same plane, according to the angles of reflection. This suggests that reflection may occur when two angles are in the same plane as the normal.

The angle I and depicted can appropriately be referred to as the angle of reflection in light of the aforementioned information.

Lastly, it is obvious from the image that angle I is the angle of reflection.

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When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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Answer:

The laws of reflection govern how incident light rays are reflected on reflecting surfaces such as mirrors, smooth metal surfaces, and clear water. The laws of reflection are as follows: The incident ray reflected ray, and normal to the mirror’s surface are all in the same plane. The incidence angle equals the reflection angle.

Explanation:

Answer:

D. Wavelength

Explanation:

An infrared (IR) and ultraviolet (UV) wave propagating through a vacuum must have the same wavelength.

Answer: the angular frequency is 2.31 rad/s

Explanation:

The data we have is:

Radial acceleration A = 27.9 m/s^2

Beam length r = 5.21m

The radial acceleration is equal to the velocity square divided the radius of the circle (the lenght of the beam in this case)

And we can write the velocity as:

v = w*r where r is the radius of the circle, and w is the angular frequency.

w = 2pi*f

where f is the "normal" frequency.

So we have:

A = (v^2)/r = (r*w)^2/r = r*w^2

We can replace the values and find w.

27.9m/s^2 = 5.21m*w^2

√(27.9/5.21) = w = 2.31 rad/s

A sine bar is used to get the angular measurement of a part feature. The angle of the part feature is 18.24°

From the question

Given that,

Length of the sine bar, L = 8.000 in

Diameter of the rolls = 1.000 in

Height under the roll, H = 2.0000 + 0.5000 + 0.0050

                                     = 2.505 in

From sine bar formula,

we know that,

H = sin A x L

sin A = H ÷ L  

where,

A ⇒ angle of part feature

H ⇒ height under the roll

L ⇒ length of the sine bar

Substituting values in the above equation,

sin A = H / L

A = sin⁻¹ ( 2.505 ÷ 8 )

A = sin⁻¹ (0.3131)

A = 18.24⁰

Hence the angle of the part feature = 18.24°

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The reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

The radioactive equation for the decay of U-238 to Ra-226 is calculated as follows;

First the uranium atom (U-238) will decay thorium by emitting alpha particle as shown in the equation below;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

The second stage is, the thorium will decay to radium by emitting alpha particles again as shown below;

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

The third, and final stage, the radium will decay to an isotope of radium again, by emitting alpha particle as shown below;

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

Thus, the reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

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Answer:

Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow

Explanation:

its basiclly luquid, water vapor, and the form of clouds.

The work done by the Coulomb force will be "\(6.08\times 10^{-21} \ J\)".

Let us define the required work done to move that alpha particle to the one of the mid point of the side length as follows.

→ \(W = \frac{4kqQ}{r_1} -(\frac{2kqQ}{r_2} +\frac{2kqQ}{r_3} )\)

→      \(=2kqQ(\frac{2}{r_1} -\frac{1}{r_2} -\frac{1}{r_3} )\)

→      \(=2(8.99\times 10^9)(-1.6\times 10^{-19})(2)(1.6\times 10^{-19})\)

→      \(= (\frac{2}{\sqrt{(5\times 10^{-9})^2+(5\times 10^{-9})} } -\frac{1}{(5\times 10^{-9})} -\frac{1}{\sqrt{(10\times 10^{-9})^2} +(5\times 10^{-9})^2} )\)

→      \(= 6.08\times 10^{-21} \ J\)

Thus the above answer is appropriate.  

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The magnetic force per unit length of the wire is (C) (0.49i - 0.51j - 1.37k) N/m.

To calculate the magnetic force per unit length of the wire, we can use the formula:

F = I * (L x B),

where F is the force, I is the current, L is the length vector of the wire, and B is the magnetic field.

Given:

Current, I = 3A

Length vector, L = √√3 * (i + j + k)

Magnetic field, B = 0.75i + 0.4k

Let's calculate the cross product of L and B:

L x B = | i j k |

|√√3 √√3 √√3|

|0.75 0 0.4|

To evaluate this cross product, we calculate the determinants:

(i) component: (√√3 * 0 - √√3 * 0.4) = -0.4√√3

(j) component: (-√√3 * 0.75 - √√3 * 0) = -0.75√√3

(k) component: (√√3 * 0.75 - √√3 * 0) = 0.75√√3

Now, multiply the cross product by the current:

F = 3A * (-0.4√√3i - 0.75√√3j + 0.75√√3k)

Simplifying this expression gives:

F = (-1.2√√3i - 2.25√√3j + 2.25√√3k) N

Therefore, the magnetic force per unit length of the wire is approximately (-1.2√√3i - 2.25√√3j + 2.25√√3k) N/m.

Comparing the given answer options, the closest match is C. (0.49i - 0.51j - 1.37k) N/m.

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Answer:

Approximately \(1000 \; {\rm N}\) (assuming that \(g = 10\; {\rm N \cdot kg^{-1}}\).)

Explanation:

The buoyant force on an object is equal to the weight of the liquid that this object has displaced.

In this example, the object displaced \(V = 0.1\; {\rm m^{3}}\) of water. The density of water is \(\rho = 1.00 \times 10^{3}\; {\rm kg \cdot m^{-3}}\). Thus, the mass of the water displaced would be \(m = \rho\, V = 1.00 \times 10^{2}\; {\rm kg}\).

Since \(g = 10\; {\rm N \cdot kg^{-1}}\) by assumption, the weight of that \(m = 1.00 \times 10^{2}\; {\rm kg}\) of water would be \(m\, g = 1.00 \times 10^{3}\; {\rm N}\). Hence, the buoyant force on this object would be \(1.00 \times 10^{3}\; {\rm N}\), which is \(1000\; {\rm N}\) when rounded to one significant figure (as in volume.)

a. The minimum time for the rocket to reach the sound barrier is 33.67 seconds.

b. The maximum vertical thrust of the rocket engines under these conditions is 250,893.6 N.

c. The rocket is 5548.1 meters above the Earth's surface when it breaks the sound barrier.

To solve this problem, we'll use Newton's second law of motion (F = ma) and consider the forces acting on the rocket and the instrument inside.

Calculating the minimum time for the rocket to reach the sound barrier without breaking the inside wire.

a) Minimum time to reach the sound barrier:

Given:

Mass of the rocket (m) = 2.56 × \(10^4\) kg

Acceleration due to gravity (g) = 9.8 m/\(s^2\)

Maximum tension the wire can support (T_max) = 27.5 N

Weight of the instrument (W) = mass of the instrument × acceleration due to gravity = 13.6 N

The forces acting on the instrument inside the rocket are its weight (W) and the tension in the wire (T). At maximum tension, the net force on the instrument is zero.

T - W = 0

T = W

Therefore, the maximum tension in the wire is equal to the weight of the instrument, which is 13.6 N.

Now, let's determine the acceleration of the rocket. The total force acting on the rocket is the sum of the rocket's weight (mg) and the tension in the wire (T).

F_total = mg + T

F_total = (2.56 × \(10^4\) kg)(9.8 m/\(s^2\)) + 13.6 N

F_total = 250,880 N + 13.6 N

F_total = 250,893.6 N

Since we're assuming the rocket's acceleration is constant.

we can use Newton's second law:

F_total = ma

250,893.6 N = (2.56 × \(10^4\) kg)a

Solving for acceleration:

a = 250,893.6 N / (2.56 × \(10^4\) kg)

a ≈ 9.8 m/\(s^2\)

The acceleration of the rocket is approximately 9.8 m/\(s^2\), which is the same as the acceleration due to gravity.

To find the minimum time to reach the sound barrier, we can use the following equation of motion:

v = u + at

where,

v = final velocity (sound barrier velocity = 330 m/s)

u = initial velocity (which is zero since the rocket starts from rest)

a = acceleration

t = time

330 m/s = 0 + (9.8 m/\(s^2\))t

Solving for t:

t = 330 m/s / 9.8 m/\(s^2\)

t ≈ 33.67 s

Therefore, the minimum time for the rocket to reach the sound barrier without breaking the inside wire is approximately 33.67 seconds.

b) Maximum vertical thrust of the rocket engines:

The maximum vertical thrust of the rocket engines is equal to the total force acting on the rocket, which we calculated earlier:

Maximum vertical thrust = F_total

Maximum vertical thrust ≈ 250,893.6 N

Therefore, the maximum vertical thrust of the rocket engines under these conditions is approximately 250,893.6 N.

c) Distance above the Earth's surface when breaking the sound barrier:

To determine the distance above the Earth's surface when breaking the sound barrier, we can use the following equation of motion:

s = ut + (1/2)at^2

where,

s = distance

u = initial velocity (which is zero)

a = acceleration

t = time it takes to reach the sound barrier (33.67 s).

s = 0 + (1/2)( 9.8 m/\(s^2\))\((33.67 s)^2\)

s = (\(4.9 m/s^2\))(1132.8289 \(s^2\))

s ≈ 5548.1 m

Therefore, the rocket is approximately 5548.1 meters (or 5.55 kilometers) above the Earth's surface when it breaks the sound barrier.

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Answer:

Wavelength?

Explanation:

The difference in how economic decisions are made in a mixed economy and a market economy is that in a mixed economy both the government and consumers make economic decisions while in a market economy, consumers make all economic decisions.

In a mixed economy, economic decisions are made by both the government and consumers. The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing. Consumers have the freedom to choose what to buy and sell, and their purchasing decisions ultimately drive the production and distribution of goods and services.

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The planet Earth is Dynamic​ hence option C is the correct answer

The interactions of the atmosphere, ocean, and solid Earth make the.

Clouds materialize and melt away; wind and water carve the land into new shapes; and the slow churnings of the Earth's interior keep the continents in motion and create new oceans and mountain

Volcanic activity and earthquakes alter the landscape in a dramatic and often violent manner.

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The first step towards a bill becoming a law is for the bill to be introduced in Congress.

Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.

After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.

In the next stage, the bill must go to the other chamber, to repeat the process.

After the bill is resolved in the conference committee, it goes to the president.

The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.

This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.

Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.

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Complete Question:

Use the drop down menus to complete the sentences.

The first step in a bill becoming a law is for the bill to be _____.

Next the bill goes to _____ to be marked up, dropped or sent to the floor.

After that, the bill is debated on the floor and can pass on a majority vote of ____.

In the next stage, the bill must go to the ____ to repeat the process.

After the bill is resolved in the ____, it goes to the president.

Answer:

A   generates electricity, the others do not

Explanation:

Bernoulli's equation can be used to calculate the pressure difference and hence the lift generated by an aeroplane wing.

The equation is: P + 1/2 × ρ × v² + ρ × g × h = constant

Where P is the pressure, ρ is the density of the fluid (air), v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height.

To calculate the lift generated by an aeroplane wing, we can use the Bernoulli's equation to find the pressure difference between the top and bottom of the wing. The pressure difference creates an upward force, which is the lift.

To find the percentage of the lift generated by an aeroplane wing, use the total weight of the aeroplane and divide the lift by the weight, and then multiply by 100 to get the percentage.

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The complete question is:

Calculating percentage using Bernoulli's equation on an aeroplane wing. Explain!

The resultant velocity of the boat is 7.5 km/h.

The resultant displacement of the boat is calculated as follows;

Sum of the vertical displacement of the boat is calculated as;

∑Fy = -24 km sin(50)  + 8 km sin(60)

∑Fy = -11.5 km

Sum of the horizontal displacement of the boat is calculated as;

∑Fx = -24 km cos(50)  - 8 km cos(60)

∑Fx = -19.4 km

The resultant displacement is calculated as follows;

d = √ (-11.5² + 19.4²)

d = 22.55 km

The resultant velocity of the boat is calculated as follows;

v = ( 22.55 km ) / ( 3 hrs )

v = 7.5 km/h

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When the scientists draw conclusions the scientist find out whether the hypothesis was supported.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process.

Once your experiment is complete, you collect your measurements and analyze them to see if they support your hypothesis.

Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these circumstances, they will discuss the results of their experiment before reevaluating their initial theories and predictions in light of the fresh information. The scientific method is essentially restarted in this way. Even if they discover that their theory was correct, they could still wish to verify it once more using a different approach.

The correct option is (a).

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The bike is travelling at 22.5 m/s after 2.5 s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (15 – 0) / 5

a = 3 m/s²

a = (v – u) / t

3 = (v – 15) / 2.5

Cross multiply

v – 15 = 3 × 2.5

v – 15 = 7.5

Collect like terms

v = 7.5 + 15

v = 22.5 m/s

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Answer:

This is due to the eye piece consisting of a diverging lens

Explanation:

Galilean telescope have a narrower field of view than an Keplerian telescope with the same size lenses due to the eye piece consisting of a diverging lens while the Keplerian telescope eye piece has a converging lens.

The presence of a converging lens in the Keplerian telescope enables it to have a larger angle difference while the Galilean telescope diverging lens enables it to have a smaller angle difference which explains its narrow field of view.

The strings have harmonics in whole number multiples of the fundamental.

Similarly, the open-pipe resonators also have harmonics in whole number multiples of the fundamentals.

The harmonics of the closed-pipe resonators does have fullfil the given condition for the value of harmonics.

Hence, option 4 is the correct answer.

Answer:

The horizontal range of the cannonball is 9180.4 meters.

Explanation:

The horizontal range of a cannonball can be calculated using the following formula:

range = (speed * speed * sin (2 * angle)) / acceleration due to gravity

In this case, we are given that the cannon is fired at an angle of 45 degrees and that the speed of the ball is 300 m/s. We can plug these values into the formula to calculate the horizontal range of the ball:

range = (300 * 300 * sin (2 * 45)) / 9.8

= (90000 * sin (90)) / 9.8

= (90000 * 1) / 9.8

= 9180.4 m

Answer:2

Explanation:

A car travels 200 km in the first 2.5 hour then stop for half hour then travels the final speed of 200 km in 2 hours. The average speed of the car is 80 km/hour.

To find the average speed of the car, we need to calculate the total distance traveled and the total time taken.

In the first 2.5 hours, the car travels 200 km.

Then, it stops for half an hour.

After that, the car travels another 200 km in 2 hours.

So the total distance traveled is 200 km + 200 km = 400 km.

The total time taken is 2.5 hours + 0.5 hours + 2 hours = 5 hours.

Therefore, the average speed of the car is:

Average speed = total distance / total time

= 400 km / 5 hours

= 80 km/hour.

So the average speed of the car is 80 km/hour.

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