A 200 kg car has a constant velocity of 40 m/s. Suddenly the driver steps on the
brakes, and the force of friction that slows down the car is 1,000 N. What is the
acceleration of the car?

The horizontal component of the force of cable is 2.22 kN. The vertical component of the force of cable is 6.1 kN.

If we draw a free body diagram of the force of the cable with its horizontal and vertical components, it will form a right angled triangle.

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

θ = 20°

Hypotenuse = Force of cable = 6.5 kN

Opposite side = Horizontal component

Adjacent side = Vertical component

sin 20° = Horizontal component / 6.5

Horizontal component = 0.342 * 6.5

Horizontal component = 2.22 kN

cos 20° = Vertical component / 6.5

Vertical component = 6.1 kN

In a right angled triangle, trigonometric ratios can be used as mentioned below.

Therefore,

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The correct answer is displacement.

Average velocity differs from average speed because displacement is used to calculate average velocity.

What is displacement?

Being a vector, displacement has both magnitude and direction. In one-dimensional motion, the direction should be stated with a plus or minus sign to ensure sure the direction is right. It always occurs in a straight line between two sites. Although it is not a vector variable and lacks a direction sign, the word "distance traveled" is also used to refer to the length of the path that was taken to get from one place to another. The distance traveled is not always equal in both magnitude and direction; on occasion, it may exceed the magnitude of the displacement between the sites.

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The free body diagram of this situation involves a rightward force of 125 N  and frictional force of 50 N.

A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.

F - ff = F(net)

where;

125 - ff = 75

ff = 125 - 75

ff = 50 N

125 N → Ф  ← 50 N

Thus, the free body diagram of this situation involves a rightward force of 125 N  and frictional force of 50 N.

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If a ruler is knocked off the end of a desk with a horizontal velocity of 1.2ms-1. If the desktop is 0.8m above the floor then the resultant velocity of the ruler would be 4.13 meters/seconds.

It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.

The final velocity of the ruler can be calculated with the help of the third equation of motion in the vertical direction under the influence of gravity,

v² - u² = 2as

v = √(2gh)

  =√2*9.81*0.8

  = 3.96 m/s

The resultant velocity of the ruler = √(3.96² + 1.2²)

                                                        =4.13 meters / seconds

Time is taken to hit the ground = 3.96 / 9.81

                                                 =0.4036 seconds

The horizontal displacement of the ruler = 1.2*0.4036

                                                                    =0.48432 meters

Thus, the resultant velocity of the ruler would be 4.13 meters/seconds.

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The statement that is true about mass and weight is as follows: Mass must be in kg and weight in N to do our calculations (option E).

Mass is the quantity of matter which a body contains, irrespective of its bulk or volume. The mass of a substance is measured in kilograms.

On the other hand, weight is the force on an object due to the gravitational attraction between it and the Earth. It is measured in Newtons.

The mass of an object is the same everywhere, however, it's weight is dependent on location. For example, the weight of an apple on Earth will differ from it's weight in Mars.

Therefore, the statement that is true about mass and weight is as follows: Mass must be in kg and weight in N to do our calculations.

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The coefficient of kinetic friction is determined as 0.75.

The coefficient of kinetic friction is calculated by applying the newton's second law of motion.

Fsinθ - Ff = ma

where;

W = mg

where;

m = W/g

m = 325/9.8

m = 33.2 kg

425 sin(35.2)   -  Ff = 33.2a

425 sin(35.2)   -  μW = 33.2a

at constant velocity, a = 0

425 sin(35.2)   -  μW= 0

μW = 244.98

μ = 244.98/W

μ = 244.98/325

μ = 0.75

Thus, the coefficient of kinetic friction is 0.75.

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Explanation:

the ratio between two circles vqjoizxcvu g çm

The constant acceleration of the train is 0.33 m/s.

The average velocity can be calculated by using the formula:

velocity = distance/time

For the 1st car, the velocity is calculated as:

v₁ = 8.60 m / 1.80 s = 4.78 m / s

For the second car, velocity can be calculated as:

v₂ = 8.60 m / 1.66 s = 5.34 m / s

Now we can solve for the acceleration using the formula:

v₂² = v₁² + 2 a d

Rewriting in terms of a, we get

a = (v₂² – v₁²) / 2 d

a = (5.34)² – (4.78)² / (2 × 8.6)

a = 0.33 m/s

Therefore, the constant acceleration of the train is 0.33m/s.

what is acceleration explain?

acceleration, fee at which speed modifications with time, in terms of each pace and course. A factor or an object shifting in a directly line is improved if it hastens or slows down. motion on a circle is improved even if the velocity is steady, due to the fact the route is constantly converting

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25.487 km did the scramjet travel during its 11 second test.

Given that the scramjet travels at a speed seven times that of sound, speed v is equal to 7 x 331 m/s or 2317 m/s.

(A) We require the scramjet's travel time over a distance of

       d = 5000 km (5x10^6 m).

Using the formula

time taken = distance traveled/speed,

we can calculate the following:

(5x10^6)/2317 sec

= (5x10^6)/(23175x60) minute

= 5000000/139020 minutes

= 35.97 seconds

As 1 second equals 1/60 of a minute, Therefore, the travel time on Scramjet from San Francisco to New York will be 35.97 minutes.

(B) The distance covered by the Scramjet in 11 seconds must now be determined. as a result,

using speed, distance, and time relation.

Distance = Speed x Time

               = 7  x 331  x 11

                =  25487 m

Since 1 metre equals 1/1000 of a kilometer, 25487 m of 25.487 km

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C. On an electrolytic or paper capacitor, the black band indicate that the capacitor is color-coded to military specifications.

Paper Capacitor is a fixed capacitor in which flat thin strips of metal foil, usually aluminium is separated by dielectric material paper.

Paper capacitor is used in electronic noise filtering, signal coupling and decoupling systems, and remote sensing systems.

The coloured bands represent the capacitance value as per the colour code. That is the capacitor is color-coded to specifications.

The black band usually indicate the specification of the capacitor.

Thus, on an electrolytic or paper capacitor, the black band indicate that the capacitor is color-coded to military specifications.

So the correct option is C.

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The total capacity in gallons of the rectangular tank is 866.58 gallons

Since the rectangular tank is 5 meters in height knowing that it will hold 200 liters per foot, we need to know the total capacity of water it contains for the height of 5 meters.

Converting 5 m to feet, we have

Since 1 m = 3.28 ft, we have

5 m = 5 × 1 m = 5 × 3.28 ft = 16.4 ft

Since the height of the tank in feet is 16.4 ft and the tank holds 200 L/ft, then the total capacity of water in 16.4 ft is D = 200 L/ft × 16.4 ft

= 3280 L

To know the total capacity of the tank in gallons,we convert 3280 L to gallons

Since 1 L = 0.2642 gallons, converting 3280 L to gallons, we have

3280 L = 3280 × 1 L = 3280 × 0.2642 gallons

= 866.576 gallons

≡ 866.58 gallons

So, the total capacity in gallons of the rectangular tank is 866.58 gallons

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The correct answer is Scoliosis is a spine curvature that occurs most frequently in adolescents.

Scoliosis is a spine curvature that occurs most frequently in adolescents.The most commonly used brace is made of plastic and contoured to fit the body. Because it fits under the arms and around the rib cage, lower back, and hips, this brace is almost invisible under clothing.

The majority of braces are worn between 13 and 16 hours per day. Idiopathic, congenital, and neuromuscular conditions The most common type of scoliosis is idiopathic. This means that the cause is unknown or that no single factor contributes to the disease's development.Scoliosis can improve with treatment, but it is not always a sign of something serious, and it is not always necessary if it is mild.

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When you square the unit of momentum, the new unit will be expressed as kg²m²/s².

Linear momentum is defined as the product of the mass (m) of an object and the velocity (v) of the object.

P = mv

where;

Unit of momentum is given as; kgm/s

When unit of momentum is squared, = (kg.m/s)² = kg²m²/s²

Thus, when you square the unit of momentum, the new unit will be expressed as kg²m²/s².

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Answer:

International Space Station

Explanation:

I did the test and I’m 100% sure

Answer:

b) International Space Station

Explanation:

International Space Station (ISS) is the largest structure, which people have put into space. Hence, option (b) is correct.

Answer:

Explanation:

Impulse of a force is defined as the product of the average force and the time interval for which the force acts on the body.

Answer:

The product of the force & the time for which it acts on a body is called impulse of a force.

When an object is thrown with an angle with horizontal, it makes projectile motion

It is given that angle of projectile was 25 degree

The formulas of projectile motion is as follows:

component of velocity at time t = Vxcos[tex]\alpha[/tex]

time of maximum  height= vsin[tex]\alpha[/tex] /g

maximum height = (v sin[tex]\alpha[/tex] )^2/2g

horizontal range = v^2 sin2[tex]\alpha[/tex]/g

v is given to be 20 m/s

time of flight is given by v 2sin[tex]\alpha[/tex]/g

therefore, time of flight = 20 x 2x0.4226 /10 = 1.690 seconds

maximum horizontal range = 20 x 20 x 0.766/10 =30.641 meters

Disclaimer: The value of acceleration due to gravity is assumed to be 10 m/s^2 also the speed of velocity has no unit and hence m/s has been considered

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The average speed for the trip is 102.4 km/h.

The magnitude of average velocity for the trip is 171.7 km/h in the direction of 27⁰ south of west.

The average speed of an object is the ratio of total distance traveled by an object to the total time of motion.

avg. speed = total distance / total time of motion

total time of motion = (10 min/60 min/hr) + (22 min/60 min/hr)

total time of motion = (0.167 hr) + (0.367 hr) = 0.534 hr

total distance = (108 km/hr x 0.367 hr) + (90 km/h x 0.167 hr) = 54.67 km

avg. speed = (54.67 km)/(0.534 hr) = 102.4 km/h

The average velocity of the trip is the resultant velocity of the trip.

Vy = -90 km/h x sin(60) = -77.94 km/h

Vx = (-108 km/h)  + (-90 km/h x cos 60)

Vx = -153 km/h

V = √Vy² + Vx²

V = √[(-77.94)² + (-153²)]

V = 171.7 km/h

θ = arc tan(Vy/Vx)

θ = arc tan (-77.94/-153)

θ = 27⁰ south of west

Thus, the magnitude of average velocity for the trip is 171.7 km/h in the direction of 27⁰ south of west.

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According to the research, the correct option is to refine the original solution design. It is the last part of the technological design process.

It is the process and problem solving using design as a methodological strategy that allows identifying and solving a problem through inductive procedures and logical reasoning.

In this sense, the last part of this process includes what refers to the production of a first model of the solution, which is tested to evaluate its performance, the result of this evaluation must influence the modification or refinement of the original solution design that is implemented in the solution of the problem that gave rise to the generation of the project.

Therefore, we can conclude that according to the research, the correct option is to refine the original solution design. It is the last part of the technological design process.

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A. Experimental evidence is collected that supports that astrology is to be considered a science.

Through experiments and researches, we can collect a lot of evidences about the relationship between science and astrology. If the evidences are in favour of astrology so we can say that astrology is to be considered as science. The invention of the astrology was made in Babylon far back in antiquity. An astrology is not considered to be the part of the science, because there is no evidence present in the history that the astrology is the part of the science. But the main thing is that the astrology contains the logics, and logics is present in the science. So there is a very small relation between the astrology and the science.

So we can conclude that Experimental evidence is collected that supports it is the correct statement.

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A. Experimental evidence is collected that supports it.

B. The majority of people believe that its claims are true.

C. Its explanations are supported by a scientific law.

d. Government funding is used to support it.

The uneven gamete division causes chromosomal abnormalities.

A gamete is a fully developed reproductive or sex cell with haploid chromosomes that has the capacity to mate with another haploid gamete to create a diploid zygote. The fusion (or combining) of two gametes, namely a male and a female gamete, results in the zygote. Fertilization is the process through which two gametes combine to form a zygote.

One of the gametes is typically bigger and non-motile, which is characteristic. It is sometimes referred to as an ovum or an egg cell. The second gamete cell is smaller and motile. It is also known as a sperm cell or a male gamete. In humans, each gamete has 23 chromosomes, and when they fuse, a diploid zygote with 46 chromosomes is created. These reproductive cells are created in the gonads, or reproductive organs, of the male and female animals. The male gametes in seed-bearing plants are the pollen, whereas the female gametes are housed in the plant's ovules. The gamete in plants, however, is not invariably a haploid cell.

Hence, Uneven gamete division causes the chromosomal abnormalities.

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The ball reaches a height of 9.57 meters against gravity.

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on the earth's surface is 9.8 m/s2.

A body is drawn toward the center of the earth by the force of gravity. Let's have a look at two bodies with masses ma and mb. When two bodies are subjected to equal forces, the force in terms of mass is given by:

The inertial mass of a body is defined as mb = ma [aA/aB].

In response to the gravitational pull of two bodies,

FA = GMmA/r2,

FB = GMmB/r2,

mB = [FB/FA] × mA

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68.31 km.

First, let's refer to the distance formula:

[tex]d=v*t[/tex], where d is distance, v is velocity or speed and t is time.

Now, let's find the distance covered by each individual speed that the car had:

In order to use the formula, we need to convert minutes into hours since the speed is given in km/h.

21.1 min/60= 0.35 h.

Now, apply the distance formula.

d=(0.35h)*(86.8km/h)= 30.38 km.

Convert minutes to hours again and do the same calculations.

10.6min/60=0.18h

d=(0.18h)*(106km/h)= 19.08 km.

36.5min/60= 0.61h

d=(0.61h)*(30.9km/h)= 18.85 km.

The total distance must be given by the addition of all individual distances traveled by the car on each speed:

Total distance= 30.38 km + 19.08 km + 18.85 km= 68.31 km.

The speed of the electron when it is 10.0 cm from the +3.00 nC charge is 30×[tex]10^{-2}[/tex] meters per second.

Given :

q=3.00 nC

r=distance=10 c.m

we apply formula

Velocity of electron =qd

=10×[tex]10^{-2}[/tex]×3=30×[tex]10^{-2}[/tex] m/sec

The speed of electricity is determined by what you mean by the term "electricity." This is a broad term that essentially means "all things relating to electric charge." I'll presume we're talking about an electrical charge current moving through a metal wire, like the power cord of a light. Electrical currents passing through metal wires have three different velocities, all of which are physically significant:

The velocity of electron drift.

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The volume of the rectangular box is 39559.36 cm³.

Volume can be defined as the capacity of a solid substance. The S.I unit of volume is m³.

To calculate the volume of the rectangular box, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the volume of the rectangular box is 39559.36 cm³.

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If sample of silver and lead each had volumes equal to 1ml, Lead would have the greater mass, and the difference in the masses would be around 0.84grams

The mass of a physical body is a measure of its entire makeup. This also measures inertia, or the body's resistance to acceleration (change in velocity) in the presence of a net force.

The basic mass unit in the SI is the kilogram (kg)

The Density of Silver = 10.5 g / cm^3

The Density of Lead = 11.34 g / cm^3

So the masses given  volume of 1 cm^3 is:

mass of Silver = 10.5 grams

mass of Lead = 11.34 grams

So we see that Lead has greater mass for similar volume.

On solving the given problem we get

The difference is

11.34 – 10.5 = 0.84 grams

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A. The car's average velocity (in m/s) in the interval between t = 1.0 s to t = 1.5 s is 1 m/s

B. The car's acceleration (in m/s²) at t = 1.5 s is 0.4 m/s²

C. The speed of the car is increasing with time

Average velocity = total distance / total time

Average velocity = 0.5 / 0.5

Average velocity = 1 m/s

We'll begin by calculating the velocity at t = 1.5 s. This can be obtained as follow:

Velocity = Distance / time

Velocity = 0.9 / 1.5

Velocity = 0.6 m/s

Finally, we shall determine the acceleration . This is shown below:

Acceleration = velocity / time

Acceleration = 0.6 / 1.5

Acceleration = 0.4 m/s²

The acceleration we calculated above (i.e 0.4 m/s²) is positive. This simply indicates that the speed of the car is increasing.

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Missing part of the question:

(a) What is the car's average velocity (in m/s) in the interval between t = 1.0 s to t = 1.5 s?

(b) Using data from t = 1.0 s to t = 2.0 s, what is the car's acceleration (in m/s2) at t = 1.5 s?

(c) Is the car's speed increasing or decreasing with time?

The y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.

The y component of the vector will be determined from the resultant vector and the x component of the vector.

R² = Y² + X²

Y² = R² - X²

Where;

Y² = 85.2² - 76.4²

Y² = 1,422.08

Y = √1,422.08

Y = 37.7 N

θ = arc tan (Y/X)

θ = arc tan (37.7/76.4)

θ = 26.2⁰

Thus, the y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.

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Answer:

The best answer seems to be B because there is a strong positive correlation that the more exercise a person does, the fewer medical problems they have

Explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The more exercise a person takes the fewer medical problems they report. This is an example of a positive correlation. The correct option is B.

When two variables rise or decrease simultaneously, there is a positive correlation; when there is a negative correlation, one variable increases as the other falls.

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.

When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

A person reports fewer medical issues the more activity they get. An illustration of a positive correlation would be this.

Thus, the correct option is B.

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