Which best summarizes a concept related to the work-energy theorem?
When work is positive, the environment does work on an object.
When work is negative, the environment does work on an object.
O When work is positive, the kinetic energy in a system remains constant.
When work is negative, the kinetic energy in a system remains constant.

Based on Newton's law of gravity, the force of attraction on the airplane moving on Earth is directly proportional to the mass of the airplane and inversely proportional to the square of distance the airplane from Earth's surface.

Newton's law of universal gravitation states that the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

Mathematically, this law is written as follows;

Fg = ( G m₁ m₂ )  / ( r² )

where;

From Newton's second law of law of motion we will have;

F = mg

mg = ( G m₁ m₂ )  / ( r² )

g = Gm / r²

Every object on  Earth surface moves with equal acceleration due to gravity which has a value of 9.8 m/s².

Thus, airplane flying on Earth surface will be affected by gravity and the weight or downward force on the airplane is a function of gravity.

Learn more about Newton's law of gravity here: https://brainly.com/question/13908515

#SPJ1

The voltage required by the toy car is 3 volts.

Ohm's Law states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and the resistance (R). Mathematically, it can be expressed as:

V = I * R

In this case, we are given that the current (I) flowing through the toy car is 1.5 A (amperes), and the resistance (R) of the car is 2 Ω (ohms).

Substituting these values into the equation, we can calculate the voltage (V) required by the car:

V = 1.5 A * 2 Ω

V = 3 V

So, the voltage required by the toy car is 3 volts. This means that to operate the toy car properly, a power source or battery with a voltage output of 3 volts is needed.

The voltage provides the electrical potential necessary for the current to flow through the car's circuit, overcoming the resistance and powering the car's motor or other components.

To know more about voltage refer here

brainly.com/question/32002804#

#SPJ11

Dr. Hewitt's experiment using the bowling ball to showcase the relationship between momentum, energy and speed of a body in motion. In his first attempt, the ball returns and stops almost exactly at the point it was launched.

Therefore, the ball stopped at the position of initial launch during the first trial.

Learn more :https://brainly.com/question/24909395

The coefficient of linear expansion (α) can be calculated using the following formula:α = ΔL / LΔTWhere:ΔL = change in length L = original lengthΔT = change in temperatureGiven:ΔL = 0.700 cm = 0.007 mL = 16.0 mΔT = 30.0 °C - 8.00 °C = 22.0 °C Converting ΔT to Kelvin scale:ΔT = 22.0 °C = 22.0 K

The formula can now be rewritten as:α = ΔL / LΔTα = 0.007 m / 16.0 m × 22.0 Kα = 0.000002534 K^(-1)α = 2.534 × 10^(-6) K^(-1)Therefore, the coefficient of linear expansion (α) for the given metal bar is 2.534 × 10^(-6) K^(-1).

A material's length change in response to a change in its temperature is measured by a coefficient of thermal expansion, which is typically represented by the symbol. The length change of a material is inversely proportional to its temperature change under small temperature changes.

V = VT, where is the volume expansion coefficient and 3 is the volume change caused by thermal expansion. At the point when the warm development is limited, warm pressure is created. The coefficient of warm extension equation makes sense of how an item's size increments as the temperature changes.

Know more about coefficient of linear expansion:

https://brainly.com/question/31751037

#SPJ11

Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.

The temperature of an object, governed by Newton's Law of Cooling

(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:

dt/dT = k(T - Ts)

dt = k(T - Ts) dT

∫ dt = ∫ k(T - Ts) dT

t = k * ∫ (T - Ts) dT

t = k * (T^2/2 - Ts*T) + C

Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:

T(0) = T0

k * (\(T0^2\)/2 - Ts*T0) + C = T0

C = T0 - k * (\(T0^2\)/2 - Ts*T0)

C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2

C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2

So, the equation becomes:

t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)

(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):

t = 5 minutes = 5/60 hours = 1/12 hours

T(t) = Ts + (T0 - Ts) * exp(-kt)

T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))

This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.

Learn more about  Newton's Law of Cooling  here:

https://brainly.com/question/30591664

#SPJ11

Answer:

In order to convert density to grams, you have to put the mass on one side of the equation, and the density and the volume on the other. Therefore, d * v = m. Multiply the density by the volume. Using the example in step 1, you would multiply 2 g/mL by 4mL.

Explanation:

ok

The intensity of the sound you hear at a distance of 280cm away from the tuning fork is 7.72 x 10⁻⁶ W/m².

The power carried by sound waves per unit area in a direction perpendicular to that area.

It is defined as the ratio of power and area.

I = P / 4πr²

Given is the radius 280 cm =  2.8 m and power 7.6 x 10⁻⁴ watt, then the sound intensity is

I =  7.6 x 10⁻⁴ / (4 x 3.14 x 2.8²)

I = 7.72 x 10⁻⁶ W/m²

Thus, the intensity of the sound you hear at a distance of 280cm away fr0om the tuning fork is 7.72 x 10⁻⁶ W/m².

Learn more about sound intensity.

https://brainly.com/question/15089336

#SPJ1

A highly charged child's balloon is not dangerous because none of the  above choices  are correct  

Since The static electricity in a balloon cannot harm you, though it can give you an annoying jolt. Static electricity is a gathered charge caused by an imbalance of electrons and protons on things around us. Rubbing two materials together may quagmire off a particle or two as they touch. This makes an imbalance in one of the materials, which sits there holding up for an opportunity to adjust itself when something with a comparing lopsidedness comes near sufficient. The adjusting release causes a pop of electricity or an inactive release. Since this voltage is fair sitting there's, it called static. Because it looks to move to something else, the movement classifies it as current electricity, and not static. Static power within the off-base situations, in any case, may be unsafe. A few areas have a solid reason for disposing of these small charges.

To know more about static electricity refer to the  link https://brainly.com/question/12791045?referrer=searchResults.

#SPJ4

4. B They have observed the very rapid orbits of stars close to the area.

5. A. 95%

im doing the test right now

The bandwidth of the periodic composite signal is drawn as a range between 100 Hz and 2100 Hz , The data rates for sending a digital signal using one harmonic, three harmonics, and five harmonics on a TV channel with a 6 MHz bandwidth would be 6 MHz, 18 MHz, and 30 MHz .

For the first question

Draw the bandwidth of a periodic composite signal, we need to consider the highest frequency component present in the signal.

We have two sine waves one with a frequency of 100 Hz and the other unspecified. Since the bandwidth is given as 2000 Hz, we can assume that the second sine wave has a frequency of 2100 Hz (2000 Hz above the first sine wave frequency).

Draw the bandwidth, we can create a graph with frequency on the x-axis and amplitude on the y-axis.

We plot the amplitude values for the two sine waves at their respective frequencies (100 Hz and 2100 Hz). The bandwidth will be the range between these two frequencies on the x-axis.

For the second question

The data rate for a digital signal transmitted using one harmonic, three harmonics, and five harmonics can be calculated by multiplying the channel bandwidth by the number of harmonics used. Since the bandwidth is given as 6 MHz, the data rates would be as follows:

One harmonic: 6 MHz

Three harmonics: 18 MHz

Five harmonics: 30 MHz

The data rate increases with the number of harmonics used because each harmonic contributes additional information to the signal, allowing for a higher data transmission rate.

To know more about composite signal refer here

https://brainly.com/question/33338639#

#SPJ11

Answer:

yess

Explanation:

"The Moon orbits Earth once every 27.3 days and spins on its axis once every 27.3 days. This means that although the Moon is rotating, it always keeps one face toward us. Known as “synchronous rotation,” this is why we only ever see the Moon's nearside from Earth."

To ensure that the circus cat lands safely on the pillow, we need to determine the horizontal distance the trainer should place the pillow and the cat's velocity as she lands.

(a) To find the horizontal distance (d), we can use the projectile motion equations. The cat's initial vertical velocity (v0y) can be calculated by multiplying the initial velocity (v0) by the sine of the launch angle (θ). So, v0y = v0 * sin(θ).

Next, we can use the equation for horizontal distance traveled (d) in projectile motion, which is given by d = v0x * t, where v0x is the initial horizontal velocity and t is the time of flight. The initial horizontal velocity (v0x) is calculated by multiplying the initial velocity (v0) by the cosine of the launch angle (θ).

Since the cat lands on the same horizontal level as it starts, the time of flight can be determined using the vertical motion equation h = v0y * t - 0.5 * g * t^2, where h is the initial vertical height (12 m) and g is the acceleration due to gravity (9.8 m/s^2). Solve this equation to find the time of flight (t).

Once you have the time of flight, you can calculate the horizontal distance (d) using the equation d = v0x * t.

(b) To find the cat's velocity (vf) as she lands in the pillow, we can use the components of velocity. The final vertical velocity (vf_y) is given by vf_y = v0y - g * t. The final horizontal velocity (vf_x) remains constant throughout the motion.

The magnitude of the final velocity (vf) can be calculated using the Pythagorean theorem, which is vf = sqrt(vf_x^2 + vf_y^2). The direction of the velocity can be determined by finding the angle (θ_f) using the arctan function, which is θ_f = arctan(vf_y / vf_x).

In vector form, the cat's velocity as she lands will be expressed as vf = vf_x i + vf_y j, where i and j are unit vectors in the x and y directions, respectively.

Remember to use appropriate units and plug in the given values to obtain numerical answers.

to know more about horizontal distance click this link-

brainly.com/question/15008542

#SPJ11

The velocity of one of these baseballs when it hits the ground is 76.73 ft/s.

Velocity is the directional speed of any object in motion as an indication of rate of change in position as observed from the particular frame of reference and as measured by the particular standard of time.

Let the final velocity be v

Given, initial velocity, u = 96 ft/s

g = 32 ft/s²

Given height, h = 52 feet

As we know, v² = u² - 2 g h

So, v² = 96 x 96 - 2 x 32 x 52

v = 76.73 ft/s

So, the speed of the ball as it hits the ground is 76.73 ft/s.

To know more about velocity, refer

https://brainly.com/question/24445340

#SPJ4

10% of more girls are likely to work than boys.

option A.

The percentage of girls who are more likely to work than boys are calculated as follows;

Total number of boys = 18 + 12 = 30

Number of boys who works = 18

Percentage = 18/30 x 100% = 60%

Total number of girls = 14 + 6 = 20

Number of girls who works = 14

Percentage = 14/20 x 100% = 70%

Difference = 70% - 60% = 10%

So 10% of more girls are likely to work than boys.

Learn more about percentage here: https://brainly.com/question/24304697

#SPJ1

The common cause for gas pump fires  is  static electrical discharge.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials.

In petrol pumps,

During refueling, many petroleum products become electrically charged when they flow through pipes and hoses, including gasoline, kerosene, petrol, diesel etc. which are poor electrical conductors.

Charge remains until it is able to move away by means of an electric current or electrical discharge which causes the static spark that can ignite gasoline vapors, causing a flash fire.

Hence, static electrical discharge is common cause of gas pump fires.

Learn more about static electricity here:

https://brainly.com/question/26609519

#SPJ1

Answer:

Explanation:

The mass of the car can be found by using the formula

\(m = \frac{2k}{ {v}^{2} } \\ \)

From the question we have

\(m = \frac{2 \times 300000}{ {20}^{2} } = \frac{600000}{400} = \frac{6000}{4} \\ \)

We have the final answer as

Hope this helps you

Answer:

38 is a good girl and a great place to work for u and I miss you y and I miss you much love your love and love to

Answer:

Answer is A

Explanation:

Answer:

\(K=58.8N/m\)

Explanation:

From the question we are told that:

Mass \(M=0.442\)

Drop distance \(d=0.150\)

Generally the equation for Spring Constant is mathematically given by

 \(K=\frac{2mg}{x}\)

 \(K=\frac{2*0.442*9.8}{1.150}\)

 \(K=58.8N/m\)

Answer:

Average speed = 26.67 km/h

Explanation:

It is given that,

The first half of the journey by a body is traveled with a speed of 40 km/h and the next half is covered with a speed of 20 km/h

We need to find the average speed of the whole journey.​ When two speeds are given, the average speed is given by :

\(v=\dfrac{2v_1v_2}{v_1+v_2}\\\\v=\dfrac{2\times 40\times 20}{40+20}\\\\v=26.67\ km/h\)

So, the average speed of the body of the whole journey is 26.67 km/h.

After three half-lives, 1/8 (or 0.125) of the parent isotope remains. Thus, 0.125 times the parent atoms. The daughter isotope would be equivalent to the remaining parent isotope, 0.125 times the original number of parent atoms.

After three half-lives, the parent isotope has exponentially decayed, forming the daughter isotope. Each half-life reduces the parent isotope by half and increases the daughter isotope. Three half-lives have passed, reducing the parent isotope to 1/8 of its initial level. The rock sample would have 1/8 of the parent isotope.

The daughter isotope would have accumulated during decay. After three half-lives, the daughter isotope would have reached 3/8 of the parent isotope as each half-life creates one-half of it. After three half-lives, the rock sample would have 1/8 of the parent isotope and 3/8 of the daughter.

To know more about isotope

https://brainly.com/question/30643634

#SPJ4

Answer:

Explanation:

Using the below formula

Speed of sound = ( distance between observers) *2/(total time taken)

Now putt the given values ,

time taken = 0.80 sec

distance = 256 m

hence

V of sound= 256*2/0.80

V of sound = 640 m/sec

The fastest climbers are not necessarily the ones who developed the most power because power is not determined by the speed of an object.

When we talk mathematically the power in an object is defined as the work done by the body per unit time.

The fastest climber necessary for the ones who developed the most power because a greater velocity or a greater speed is not a parameter for calculating the power in an object or in our body.

The power is only calculated on the basis of the work done by a climber.

To know more about power, visit,

https://brainly.com/question/1634438

#SPJ4

Answer:

To determine the work done by the engine of the car, we need to calculate the net work done on the car during the motion. The net work is given by the change in kinetic energy of the car:

net work = (1/2)mvf^2 - (1/2)mvi^2

where m is the mass of the car, vi is the initial velocity of the car, and vf is the final velocity of the car.

To calculate the final velocity of the car, we can use the equations of motion:

vf = vi + at

x = vi*t + (1/2)at^2

where x is the distance traveled by the car, a is the acceleration of the car, and t is the time taken to cover the distance x.

Using the given values of x = 250 m and t = 30 s, we can solve the second equation for a:

a = 2(x - vi*t) / t^2

where vi can be assumed to be zero since the car starts from rest. Substituting the given values, we get:

a = 2(250 m)/ (30 s)^2 = 0.3704 m/s^2

Now, we can use the coefficient of friction between the wheels and the ground to calculate the force of friction acting on the car:

f_friction = friction coefficient * normal force

where the normal force is the weight of the car, given by:

normal force = m * g

where m is the mass of the car and g is the acceleration due to gravity.

Substituting the given values of m = 1600 kg, g = 9.8 m/s^2, and the given coefficient of friction, we get:

f_friction = 0.03 * 1600 kg * 9.8 m/s^2 = 470.4 N

The force of friction acts in the opposite direction to the motion of the car, so we can find the net force acting on the car:

net force = f_engine - f_friction

where f_engine is the force generated by the engine of the car. We can assume that the force generated by the engine is constant, so we can use the equation:

f_engine = m * a

where m is the mass of the car and a is the acceleration of the car.

Substituting the given values of m = 1600 kg and the calculated value of a = 0.3704 m/s^2, we get:

f_engine = 1600 kg * 0.3704 m/s^2 = 592 N

Now we can find the net work done on the car by substituting the calculated values of f_engine and f_friction into the equation for net force:

net force = f_engine - f_friction = 592 N - 470.4 N = 121.6 N

The net work done on the car is then given by:

net work = net force * x

Substituting the given value of x = 250 m and the calculated value of net force, we get:

net work = 121.6 N * 250 m = 30,400 J

Therefore, the work done by the engine of the car is approximately 30,400 J.

Answer:

B

Explanation:

100km/2h = v

50km/h = v

Hope that helps

Answer:

50 km/h

Explanation:

Because if it traveled 100 km/h and took 2 hrs. then 50 km/h + 50 km/h = 100 km/h

please let me know if I was right. Have a good night :)

Those sound waves travel at a speed of 1904 meters per second.

The equation for velocity is v = (68 Hz)(28m) = 1904 m/s.

As with all waves, the relationship between the speed of sound, its frequency, and its wavelength is vw=f, where vw denotes the speed of sound, f denotes its frequency, and f denotes its wavelength.

The frequency of a wave is expressed in Hertz (Hz), which is the number of waves that pass by each second. A sound wave, for instance, might have a frequency of 450 Hz.

"The distance between the two successive crests or troughs of the light wave" is how wavelength of light is described. Using the Greek letter lambda (λ), it is identified.

To know about speed

https://brainly.com/question/29071528

#SPJ4

Answer:

a) 24.33 m of distance.

b) 34.55° east of the south.

Explanation:

The question is incomplete. The whole exercise is the following:

"Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 28.0 m in a direction 60.0° west of north. Jane walks 12.0 m in a direction 30.0° south of west. They then stop and turn to face each other.

(a) What is the distance between them?

(b) In what direction should Ricardo walk to go directly toward Jane?"

Now that we know what we need to do in this question, let's head for every part of the problem.

a) Distance between Ricardo and Jane

In this case, we need to analyze the given data:

Ricardo (which we will call R) is 28 m from the starting point at 60° west of north, and Jane (J) is 12 m at 30° south of west. So the distance between them, will be the point where they both stop and face each other. This point can be seen in the image attached (See picture).

Let's call the distance between them as "D", to get the distance of D, according to the picture will be:

D = J - R   (1)

However, as they are facing in different angles and directions, we cannot do the difference of their values distance just like that. In order to do that, we need to calculate the components in the "x" and "y" axis of each vector. In that way, we can get the components of x and y of the Distance D, and then, the whole distance between them will be:

D = √Dx² + Dy²     (2)

So, let's get the components of x and y of R and J.

For Ricardo (R):

Rx = R sin60° = 28 sin60° = -24.25 m

Ry = R cos60° = 28 cos60° = 14 m

The sign "-" it's because R it's on the second quadrant, therefore in x, we'll have to add the negative.

For Jane (J):

Jx = J cos30° = 12 cos30° = -10.39 m

Jy = J sin30° = 12 sin30° = -6 m

Again, the negative is added because J is on the third quadrant.

Now that we have the components, let's calculate vector D using expression (1):

Dx = -10.39 - (-24.25) = 13.86 m

Dy = -6 - 14 = -20 m

Now, using expression (2) we can finally know the distance between Jane And Ricardo:

D = √(-20)² + (13.86)²

This is the distance between Jane and Ricardo.

b) Direction of Ricardo walking to Jane

In this case, we already have the components of x and y of the distance between them, so, to know the direction:

Tanα = Dy/Dx

α = tan⁻¹ (Dy/Dx)

Replacing the values we have:

α = tan⁻¹ (-20/13.86)

α = 55.45°

Which should south of east or:

β = 90 - 55.45

Ricardo should walk 34.55° east of south

Hope this helps

Explanation:

Compass. A compass uses a magnet to direct its needle to the north pole

Magnets are used to make a tight seal on the doors to refrigerators and freezers. They power speakers in stereos, earphones, and televisions. Magnets are used to store data in computers, and are important in scanning machines called MRIs.

Answer:

Magnets are used to make a tight seal on the doors to refrigerators and freezers. They power speakers in stereos, earphones, and televisions. Magnets are used to store data in computers, and are important in scanning machines called MRIs (magnetic resonance imagers), which doctors use to look inside people's bodies.

Explanation: