Which equation describes the sum of the two vectors plotted below?
A. r=x+ý
B. r = x + 4y
C. r= 2x 1 3y
D. r 4X+ ý

Answer: 0.000115 seconds

Explanation: how I got this is by first converting the meters to kilometers then I had 160 km/h and 0.0184 km away so then you do 0.0184 divided by 160 (0.0184 / 160) and get 0.000115 seconds.

The speed with which the ball must be thrown vertically from ground level to rise to a height of 50 m is 31.305 m/s.

Given values:

Maximum height reached from ground level, h_max = 50 m

Final velocity of the ball, v = 0 m/s

Calculation of initial speed of the ball:

Step 1:

Using Newton's third equation of motion, we get:

v² = u² + 2as

where, v is the final velocity of ball

           u is initial velocity of the ball

           a is acceleration of ball

           s is the maximum height attained by the ball

Step 2:

Here, the acceleration of the ball will be given as:

a = -g

  = -9.8 m/s²

where, g is acceleration due to gravity

Applying this value in above equation we get:

v² = u² - 2gh_max

Re-arranging above equation, we get:

u² = v² + 2gh_max

u  =√(v² + 2gh_max)

Step 3:

Applying values in above equation we get:

u  =√((0 m/s)² + 2(9.8 m/s²)(50 m)

   =√980

   = 31.305 m/s

Therefore, the speed with which the ball must be thrown from ground level is 31.305 m/s in order to reach a maximum vertical height of 50 m.

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Answer:

The hair dryer will transfer 640J of energy usefully to Nora’s hair.

Explanation:

Efficiency = output/input × 100%

Data

Efficiency = 64%

Energy input = 1000J

Energy output = ?

Efficiency = Energy output/Energy input × 100%

64% = Energy output /1000J × 100%

Divide both sides by 100%

0.64 = Energy output/1000J

Energy output = 0.64 × 1000J

Efficiency output = 640J

Therefore the hair dryer will transfer 640J of energy usefully to Nora’s hair.

The change in the internal energy of the system is increased by 1 Kj.

According to the first law of thermodynamics,

Therefore, Δ∪=q+w

[Δ∪= change of internal energy; q=heat; w=work]

Provided,

q= -3Kj (as heat is given away)

w= +2Kj (work done in the system is positive)

So, Δ∪= -3 + (+2) Kj

⇒Δ∪= -1 Kj

Therefore the internal energy of the system is increased by 1 kj.

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Answer:

Kinetic Energy = 2.7J

Explanation:

Conversion :

200g = 0.2kg

Kinetic Energy = ½ × mass × (velocity)²

Kinetic Energy = ½ × 0.2kg × (5.2m/s²)

Kinetic energy = ½ × 0.2kg × 27.04m²/s²

Kinetic Energy = 2.7J

The right answer is "2.7 J"

Answer explanation:

Remember to convert grams to kilograms first by dividing by 1000.

Kinetic energy

= 1/2 × mass × speed2

= 1/2 × 0.2 kg × (5.2 m/s)^2

= 2.7 J (to 2 sig. fig.)

Hope it helps ✨✨

Step 1 of 6

Diameter of the blimp,

Length of the blimp,

Rope tension,

The velocity of the wind,

Step 2 of 6

The drag force acting on the blimp can be calculated using the formula given below,

(1)

Where,  is the drag coefficient is the density of air.

A is the frontal area of the blimp.

V is the velocity of the wind.

Step 3 of 6

The frontal area of the parachute,

Here,

Substitute the value in the above equation.

The drag coefficient for the balloon is,

Step 4 of 6

From the table properties of air,

The density of air at 1atm pressure and  is,

The velocity of air,

Step 5 of 6

Now, substitute all the known values in equation (1)

Step 6 of 6

Now, rope tension is the sum of rope tension due to the buoyancy effect and the force due to the wind blowing.

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Moment of inertia decreases about the axis of rotation.

The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis.

Means,

I=mr² where,

I= Moment of inertia

m= mass of particle

r= distance of the particle from the axis of rotation.

So, Moment of inertia is directly proportional to the square of the distance from the axis of rotation.

I ∝ r²

As the distance of body from the axis of rotation increases, moment of inertia also increases and vice versa.

So, that's why when an ice skater performs a pirouette (a fast spin) by pulling in his outstretched arms close to his body , then he/she will decrease his/her distance from the axis of rotation.

That's why moment of inertia decreases about the axis of rotation.

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If it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

Convection is the transfer of heat from one place to another due to the movement of fluid.

During heat transfer by convection, cold air replaces hot risen air.

Thus, if it takes cool air and passes it through the heat source using a fan or blower, the type of heat transfer is convection heat transfer.

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Answer:

Erosion of the surface of Mars.

Explanation:

The surface of Mars have features which were formed as a result of the erosion of the surface of the Mars.

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Answer:

The answer is C.19.8 m/s because it's their common velocity after the collision of the two cars.

Explanation:

Hello !

look at the attachment above ☝️ and if you have any questions you're welcome.

Answer:

if the car is traveling north, the person is also traveling north,

If the car turns to (left) to the west, the person will still tend to travel to the north and will slide to the right (north) on a slippery car seat.

Answer:

The surface tension of plain water can cause a needle to float.

Evidently, the addition of detergent to the water reduces the surface tension of the liquid causing the needle to sink.

When we add detergent to water, the surface tension of water immediately decreases, then the surface tension cannot balance the blade and it will sink.

Surface tension is defined as the phenomenon that occurs when the surface of a liquid is in contact with another phase which may also be a liquid. Liquids obtain the least possible surface area while the surface of the liquid behaves like an elastic sheet.

Surface tension depends not only on the forces of attraction between particles within a given liquid but also on the forces of attraction of the solid, liquid or gas in contact with it where energy is responsible for the occurrence of surface tension, which can be thought of as approximately equal to the work or energy required to remove a surface layer of molecules in a unit area.

When we add soap to water, the surface tension of the water decreases to the point where the surface tension is no longer strong enough to "float" the needle.

Thus, when we add detergent to water, the surface tension of water immediately decreases, then the surface tension cannot balance the blade and it will sink.

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Answer:

An open system.

Explanation:

An isolated system allows the exchange of neither energy nor matter with the surroundings. A closed system allows the exchange of energy, but not matter. An open system allows the exchange of both energy and matter.

Notice that in this question, light (electromagnetic wave) is a form of energy. The entry and exit of light allows this system to exchange energy with its surroundings- just as how the earth receives energy from the sun. Additionally, this system could exchange energy with its surroundings through the exchange of matter (in particular, air) with its surroundings.

Thus, the system in this question is an open system.

The charge on each of the equally charged drops of hairspray willl be 7 × 10 ⁻¹³ C

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Similar charges repel each other, whereas charges that are opposed attract each other.

Given data;

Electric force,F = 9 × 10 ⁻⁹ N

Distance between charges,d = 7 × 10⁻⁴ m

Chrge,q₁ = q₂ =q C

From Columb's law;

[tex]\rm F = K \frac{q_1q_2}{d^2} \\\\ 9 \times 10^{-9} = 9 \times 10^9 \frac{q^2}{(7 \times 10^{-4})^2} \\\\ q^2 = 4.9 \times 10^{-25} \\\\ q = 7 \times 10^{-13} \ C[/tex]

Hence the charge on each of the equally charged drops of hairspray willl be 7 × 10 ⁻¹³ C

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D.  The movement that will require the greatest amount of work to be

done is a force of 15n moving an object a distance of 5.0m (75 J).

Work is said to be done when an applied force moves an object over a given distance.

W = Fd

where;

W = 10 x 3 = 30 J

W = 10 x 5 = 50 J

W = 15 x 3 = 45 J

W = 15 x 5 = 75 J

Thus, the movement that will require the greatest amount of work to be

done is a force of 15n moving an object a distance of 5.0m (75 J).

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The instantaneous velocity of the object is 137.2 m/s along the downward direction.

Instantaneous velocity: The velocity of an object at a particular instant of time is called the instantaneous velocity.

Note: The y-axis is taken along the upward direction so acceleration due to gravity will be negative.

Any object that is falling freely is acted upon by gravity. The first equation of motion gives the relationship between initial velocity, the velocity at time t, time, and acceleration. The equation is,

v=u+at

where v is the velocity at time t, u is the initial velocity, t is the time, and g is the acceleration due to gravity. Since the object starts from rest, its initial velocity is zero.

For the given case, u=0, a=-9.8 m/s^2 and t=14 s. Put the values in the equation to get the instantaneous velocity of the object at t=14 s.

v=0+(-9.8)(14)

v=-137.2 m/s

The negative sign indicates the object is falling downward.

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Answer:

At 820 K, the object lose heat at the rate of 0.072 J/min.

Explanation:

By using Newton's cooling law, the formula to calculate the rate of cooling R is,

R=-k(T-To)

where k is a constant, T is the temperature of the object and To is the temperature of the surrounding.

At T=950 K, R=0.15 J/min and To=700 K,

Therefore, 0.15=-k(950-700)

k=0.15/250 J/K min.

At T=820 K,

R=-(0.15 / 250)*(820-700)

R=-0.072 J/min

Therefore the rate of heat loss at T=820 K is 0.072 J/min.

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Due to the Composition, different asteroids reflect different percentages of the light falling on them.

What are Asteroids:

Composition of Asteroids:

We determine reflectivity of asteroids by comparing the brightness of light in the visible spectrum to the brightness of light in the infrared spectrum. The light shining from asteroids is reflected sunlight.

Hence we can say that,

Due to the Composition, different asteroids reflect different percentages of the light falling on them.

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Answer:

D) 623 N

Explanation:

The vectors' direction is in the North And when we try to take Y and X components Cos(90°) is Zero ... So the X (West) component will be zero

Answer: Two children are riding on a marry-go-round. Child A is at a greater distance from the axis of rotation than child B. Thus, the child A, located at a greater distance from the axis of rotation have a larger tangential speed.

Explanation: To find the correct answer we have to know more about the Angular velocity of a rotating body.

                              [tex]w=V/r[/tex]

                               [tex]V=wr[/tex]

Thus, we can conclude that, child A with greater distance will have larger tangential speed.

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Electric field between two parallel plates will be halved as it was before.

What is the electric field between two plates:

The electric field lines of two parallel plates can be represented by straight lines perpendicular to both plates surfaces while carrying arrows that point from +Q plate A toward -Q plate B.

we know that,

The electric field between plates:

E=V / d

where,

V is battery voltage

d is separation distance between plates.

now If the plates are pulled twice as far apart, but are kept connected to the battery,

the separation distance becomes,

d' = 2d

so the new electric field will be:

E' = V / d'

substituting the values,

E' = V / ( 2d )

E' = 1/2 ( V /d )

E' = 1/2 E

hence we can conclude that

Electric field between plates will be halved as it was before.

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The impulse is 13.5 N-s.

As we know that impulse is a sudden force acting on a body for a short time interval is called Impulse.

                                Δp = FΔt  

Mathematically, the change in momentum will equal impulse.

                                Δp = mΔv

                   →           Δp =  0.145(49-(-44))

                   →           Δp = 0.145(93)

                               Δp =  13.5 Newton-second

Thus, option (e) is correct.

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The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule,  0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule  respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.

Energies at the top:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 70 Joule

Potential energy  = 2.38 x 10⁷ Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²

Kinetic Energy = 0 Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )

Total Energy = 23.8 x 10⁶ Joule

Energies at the bottom:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 0 Joule

Potential energy  = 0 Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²

Kinetic Energy = 2.448 x 10⁶ Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )

Total Energy = 2.448 x 10⁶ Joule

The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.

So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.

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Answer:

experiments provide course effective means of quantitative process kind of examing the bounds of theory is specially when the Nolan reality is important analysis

Explanation:

regardless of such topic the purpose of laboratory experiment is to test theory occurs by focusing on one server predictive elements of the theory is isolating the influence of elements on outcomes

Answer:

In solid it is high because the molecules are closely packed.

In liquid it is lesser than solids as they are loosely

packed.

In gas it is least because they are very loosely packed

Athletes that energy drinks are not appropriate for hydration or as dietary supplements.

Vitamins and minerals are recommended when an athlete has low blood values, a medical condition that may lead to poor absorption of nutrients, or other potential nutrition/eating challenges.

As per the question

FDA doesn't regulate dietary supplements

Dietary supplement companies must ensure their products are safe before marketing and comply with other labeling and quality requirements, such as good manufacturing practices.

The FDA inspects facilities for compliance and monitors adverse event reports.

Dietary supplements should be used only upon the advice of one’s health care provider for health-related reasons – not for the purpose of gaining a possible competitive advantage.

They recommend that coaches, athletic directors, and other school personnel develop strategies that address the prevalence and growing concerns of using dietary supplements. Such strategies may include conversations with athletes and their parents about the potential dangers of dietary supplement use.

Athletes should be encouraged to pursue their athletic goals through hard work, appropriate rest and good nutrition, not unsubstantiated dietary shortcuts.

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This is a uniformly accelerated rectilinear motion exercise.

To start solving this exercise, we obtain the following data:

To find the acceleration, divide the change in velocity by the time over which the velocity changed. The SI unit of speed is the meter per second (m/s). To find the acceleration, the velocity is divided by the time expressed in seconds (s). Therefore, the unit of acceleration is m/s².

We apply the following formula:

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{V_{f}-V_{o}}{t} \end{gathered}$}[/tex]

where,

We substitute our data in the formula and solve:

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{20 \ m/s-45 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf a=\frac{-25 \ m/s}{0.5 \ s} \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf a=-50 \ m/s^{2} \end{gathered}$}}[/tex]

Answer: The acceleration when the ball slows down is -50 m/s².

The uniformly accelerated rectilinear motion, also known as uniformly varied rectilinear motion, is one in which a mobile moves on a straight path being subjected to a constant acceleration.

Final Speed (Vf) = 20 m/s

Initial Speed (Vo) = 45 m/s

Time (t) = 0.5 sec

Acceleration (a) = ¿?

To calculate the acceleration, subtract the initial velocity minus the initial velocity, divided by the time.

To solve, we substitute our data into the given formula:

Answer: The acceleration with which the ball stops is -50 m/s².

The car will skid at 80m

As we know that In mechanics, acceleration is the rate of change of the velocity of an object with respect to time.

It is a vector quantity

The velocity is the distance covered by an object per unit time

Given

Initial velocity (u) = 15m/s

Final Velocity (v) = 0m/s

Distance (s) = 20 m

Deceleration (a) =?

Now we know that ,

v² = u² + 2as

Substituting the value

0² = 15² + (2)*(a)*(20)

0 = 225 + 40a

Collecting the  like terms

0 – 235 = 40a

–225 = 40a

To find the value of a divide  both side 40

a = –225 / 50

a = –5.625 m/s²

Determination of the distance

Deceleration (a) = –5.625 m/s²

Initial velocity (u) = 30 m/s

Final velocity (v) = 0 m/s

Distance (s) =?

v² = u² + 2as

0² = 30² +(2 × –5.625 × s)

0 = 900 – 11.25s

Collecting  like terms

0 – 900 = –11.25s

–900 = –11.25s

To find the value of s divide both side by –11.25

s = –900 / –11.25

s = 80 m

Hence the car will skid 80 m

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The speed of the boat is 4 m/s.

The system for pace is speed = distance ÷ time.

To work out what the devices are for pace, you want to understand the gadgets for distance and time. In this case, distance is in meters (m) and time is in seconds (s), so the gadgets could be in meters according to second (m/s).

To resolve for speed or price use the components for pace, s = d/t which means that pace equals distance divided through time.

The pace is a manner of measuring how quickly something is transferring or being performed, or something moving speedily. An example of speed is a vehicle being driven 45 miles in keeping with the hour. An instance of velocity is a person cleaning a room in 10 minutes. An example of velocity is how quickly a jaguar runs.

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