A car traveling at 30 m/s runs out of gas while traveling up a 5 degree slope. How far will it coast before starting to roll back down?

If the distance between two objects is decreased to one fourth of the original distance, then the new force of attraction between the objects will be 16 times the initial force.

From Newton's law of universal gravity, the force of attraction between two objects is given as:

F = GM₁M₂ / r²

Where

Obtaining a relationship between the force of attraction and the distance, we have:

F = GM₁M₂ / r²

Cross multiply

Fr² = GM₁M₂

GM₁M₂ = constant

F₁r₁² = F₂r₂²

With the above formula, we can obtain the new force of attraction as follow:

F₁r₁² = F₂r₂²

F × r² = F₂ × (0.25r)²

Fr² = F₂ × 0.0625r²

Divide both side by 0.0625r²

F₂ = Fr² / 0.0625r²

F₂ = F / 0.0625

F₂ = 16F

Thus, the new force of attraction is 16 times the initial force.

Learn more about force of attraction:

https://brainly.com/question/2900681

#SPJ1

Answer: a periodic wiggle in time is called a vibration, while a wiggle in space and time is a wave. ... The source of all waves, whether mechanical or electromagnetic, is something that is vibrating.

Explanation:

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

Learn more about period here: https://brainly.com/question/29813582

#SPJ1

A company has developed a new material for making optical fibre. The critical angle of this material is much greater than that of glass, Lucite, or any other material currently being used. This product cannot be successful because optical fibres should have a small critical angle.

A small critical angle implies that the total internal reflection can take place easily.

A flexible, transparent fiber composed of plastic or glass transmits light pulses from one end of an optical fiber to the other. High-speed and long-distance services are both possible with a fiber optic network.Typical applications for fiber optic lines in telecommunications include the Internet, telephone, and television. Many of the benefits of fiber optic connections cannot be found in copper lines. The cables have a larger bandwidth and transport data much more swiftly.An optical fiber has several glass components, which might number anywhere from a few to several hundred. A glass covering known as the cladding surrounds the glass fiber core in this instance's fiber cable.

Critical angle is that angle of incidence for which the angle of refraction is 90 degrees.

We can learn more about critical angle here:

https://brainly.com/question/3314727#

#SPJ4

The magnetic flux through the coil is given by:

Φ = BAcosθ

where B is the magnetic field, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the plane of the coil. Since the axis of the coil is parallel to the field, θ = 0 and the equation simplifies to:

Φ = BA

The rate of change of magnetic flux is given by:

dΦ/dt = d(BA)/dt = A(dB/dt)

Plugging in the given values, we get:

A = πr^2 = π(1.0 cm)^2 = 3.14 × 10^-4 m^2

dB/dt = (0.30 T - 0.00 T)/(20 ms) = 1.5 × 10^4 T/s

Therefore, the emf induced in the coil is:

emf = -N(dΦ/dt) = -500 × 3.14 × 10^-4 m^2 × 1.5 × 10^4 T/s = -0.235 V

Note that the negative sign indicates that the emf is induced in a direction that opposes the change in magnetic flux.

The electric potential (V) can be found by integrating the electric field (E) with respect to the distance (x). In this case, E = -30x + 2.

Integration of E with respect to x gives:

V(x) = -15x^2 + 2x + C

Since the potential at the origin (x = 0) is taken as a reference point, we can set V(0) = 0:

0 = -15(0)^2 + 2(0) + C
C = 0

Now, we can find the electric potential at x = 2 meters:

V(2) = -15(2)^2 + 2(2)
V(2) = -15(4) + 4
V(2) = -60 + 4
V(2) = -56 V

So, the correct answer is option (b) -56 V.

The electric field in a region of space is given by the function E = -30x + 2, where x is in meters and E is in Volts/meter. What is the electric potential at x = 2m, relative to the origin?Answer:The electric potential at x = 2 m, relative to the origin is -56 V.Explanation:Given:E = -30x + 2, where x is in meters and E is in Volts/meter.So, E = -30(2) + 2= -60 + 2= -58 V/mElectric field is given by the negative gradient of the electric potential, soE = -∆V/∆xE = -dV/dx∆x is the displacement along the x-axisThe electric potential can be calculated by integrating E with respect to the displacement on the x-axis.x=2m, E=-30(2)+2 = -58 V/mWe can calculate electric potential by integrating E with respect to displacement along the x-axis.The electric potential difference between two points is defined as the work done per unit charge by an external force to move a test charge from one point to another.ϕb - ϕa = -∫E.dxPotential at point a is taken to be 0.So, ϕb = -∫E.dxϕb = -∫-58 dxϕb = 58x + CAt x = 0, ϕb = 0So, 0 = 58(0) + C = CAt x = 2 m, ϕb = 58(2) = 116 VSo, electric potential at x = 2 m, relative to the origin is 116 V.Now, we need to find electric potential at x = 2 m, relative to the origin.Substituting x = 2 m in the equation, we get,ϕb = 58xϕb = 58(2)ϕb = 116 VThus, the electric potential at x = 2 m, relative to the origin is -56 V. Therefore, the correct option is b.

Visit here to learn more about Electric Potentential:

brainly.com/question/26978411

#SPJ11

The electric potential at x=2m, the electric field in a region of space is given by the function E=−30x+2, is +56 V.

To find the electric potential at x=2 m, we need to integrate the electric field function from the origin (x=0) to x=2 m.

The formula for electric potential is:

V = -∫E(x)dx

where E(x) is the electric field function and dx is the distance element.

Plugging in the given electric field function, we get:

V = -∫(-30x+2)dx

Integrating, we get:

V = 15x^2 - 2x + C

where C is the constant of integration.

To find the value of C, we need to use the boundary condition that the electric potential at x=0 (the origin) is zero.

V(0) = 15(0)^2 - 2(0) + C = 0

C = 0

So the electric potential at x=2 m is:

V = 15(2)^2 - 2(2) = 56 V

Therefore, the answer is (a) +56 V.

Learn

Answer:

by measuring calender we can find

Explanation:

A force of 15 Newton stretches a spring to a total length of 30 cm and an additional force of 10 Newton's stretches to a Spring of 5 cm, the natural length of the spring is 58.5 cm

To find the natural length of the spring, we can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its natural length.

Let's denote the natural length of the spring as L.

According to the problem, a force of 15 Newton stretches the spring to a total length of 30 cm. This means that the displacement of the spring is 30 cm - L.

Using Hooke's law, we can set up the following equation:

Force = k * Displacement

where k is the spring constant.

For the first scenario, we have:
15 N = k * (30 cm - L)

Next, we are given that an additional force of 10 Newton's stretches the spring to a length of 5 cm. This implies that the displacement of the spring is 5 cm - L.

Using Hooke's law again, we can set up the following equation:

10 N = k * (5 cm - L)

Now we have two equations:

15 N = k * (30 cm - L)
10 N = k * (5 cm - L)

We can solve this system of equations to find the value of L, the natural length of the spring.

By dividing the second equation by 10, we get:

1 N = k * (0.5 cm - 0.1L)

Rearranging the equation, we have:

1 N = 0.5 k - 0.1kL

Now, let's substitute the value of k from the first equation into this equation:

1 N = 0.5 (15 N / (30 cm - L)) - 0.1 (15 N / (30 cm - L)) * L

Simplifying the equation, we get:

1 = 0.75 / (30 cm - L) - 1.5L / (30 cm - L)

Combining the terms on the right side of the equation, we have:

1 = (0.75 - 1.5L) / (30 cm - L)

Cross-multiplying, we get:

30 cm - L = 0.75 - 1.5L

Simplifying the equation, we have:

L - 1.5L = 0.75 - 30 cm

Combining like terms, we get:

-0.5L = -29.25 cm

Dividing both sides of the equation by -0.5, we get:

L = 58.5 cm

Therefore, the natural length of the spring is 58.5 cm.

Know more about Natural length here:

https://brainly.com/question/31083087

#SPJ8

Answer:

in probability theory, a balance equation is an equation that describes the probability flux associated with a Markov chain in and out of states or set of states.

Explanation:

Answer:B

Explanation:

If the driver suddenly slams the brakes, inertia of the water will cause it to spill over to side 2. option (B) is correct.

Newton's first law of motion, sometimes referred to as the law of inertia, asserts that: Until an outside force acts on an object, it will remain in either a condition of rest or motion.

When the driver suddenly slams the brakes,  the car stops suddenly but water inside the cap still remains in inertia of motion. So, the water spill over forward side which is side 2.

Learn more about inertia here:

https://brainly.com/question/3268780

#SPJ2

Answer:

air is the answer your WC be safe

The galaxy with a hydrogen beta absorption of 496 nm then the galaxy's distance from us in mega-light years (mly) will be equal to 277.54 Mly.

The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm).

As per the given information in the question,

The line's hydrogen laboratory wavelength, λ = 486.1 nm

The galaxy's spectrum's wavelength, λ' = 496.0 nm

Then, the change in wavelength,

Δλ = λ' - λ

Δλ = 9.9 nm

The speed of light, c = 2.998 × 10⁵ km/s

Use the equation of Doppler's effect,

v = c × Δλ/λ

v = 6,105.75 km/s

So, the radial velocity will be 6105.78 km/s.

v = H₀d

Here, v is the velocity of the galaxy, d is the distance between galaxies and H₀ is Hubble's constant.

d = v/H₀

d = 6105.75/22

d = 277.54 Mly

To know more about Wavelength:

https://brainly.com/question/13533093

#SPJ1

Answer:

The customary system is the system of measurement that is primarily used in the U.S. units in this system include the inch, foot, mile, pound, and also the cup.

The metric system is the system of measurement primarily used in science and in countries outside of the U.S. Units in this system include the meter, liter, and also gram.

Explanation:

I hope this works. :DD

I prefer using Customary system because its already in our country and easier for use because its easier for us to learn

Answer:

The answer is A

Explanation:

Solids vibrate in a fixed arrangiment, so to find which is a solid look for the one that vibrates in a fixed arrangiment.

According to the forces of attraction, the question which would best identify model is in solid phase is which model shows the molecules vibrating in a fixed arrangement?

Forces of attraction  is a force by which atoms in a molecule  combine. it is basically an attractive force in nature.  It can act between an ion  and an atom as well.It varies for different  states  of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as  the molecules present in solid are tightly held while it is minimum in gases  as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density  are all dependent on forces of attraction which exists in the substances.

Learn more about forces of attraction,here:

https://brainly.com/question/23841038

#SPJ2

Answer:

LETTER C IS THE ANSWER

Explanation:

this is my answer

The wide wood pores that link to the tree's roots allow sap to be drawn up into the maple tree when it starts to freeze. The tree is really replenishing itself with fluids at this time from its roots.

As long as the temperature is below freezing and the sap is increasing, the process continues.

Water is drawn up from the roots to the top of the plant according to the cohesion-tension hypothesis of sap ascent. Water and minerals travel upward from the roots through the xylem due to a negative water potential gradient created by the evaporation of mesophyll cells in the leaves.

The water potential gets increasingly negative as you climb the tree, and these variations provide a pull or tension that causes the water to ascend the tree. The loss of water from the leaves through a process called transpiration is a crucial element in the draw of water up the tree.

learn more about xylem tube refer

https://brainly.com/question/21022760

#SPJ13

Answer:

A? what do you mean? ahhahhhhahhahahahahahahahhahahahahaaa

Answer:

the displacement of the object is 5 units

Explanation:

The computation of the displacement of the object is shown below:

= Move to the right + move to the right - move to the left

= 6 units + 3 units - 4 units

= 9 units - 4 units

= 5 units

Hence, the displacement of the object is 5 units

Explanation:

Sound travels more quickly through solids than through liquids and gases because the molecules of a solid are closer together and, therefore, can transmit the vibrations faster. Sound travels most slowly through gases because the molecules of a gas are farthest apart.

In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.

However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.

It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.

To know more about plants visit:

https://brainly.com/question/31220793

#SPJ11

Answer:

well, hydropower is using fast-running water as a source of power to power machines or produce electricity, and using water can help make the earth a little cleaner, just like solar energy (energy from the sun). instead of using things like coal, oil, gas which is bad for the earth

Explanation:

Explanation:

The equation 2y = 8 sin (4πt) is a general equation for a particle vibrating in simple harmonic motion. The amplitude of the oscillations is given by the coefficient of the sine term, which is 8 in this equation. Therefore, the amplitude of the particle vibrating in simple harmonic motion is 8 cm.

The angular frequency is given by the coefficient of the variable t, which is 4π in this equation. Therefore, the angular frequency of the particle vibrating in simple harmonic motion is 4π rad/s.

Therefore, the answer is (b) 4 cm and 4π rad.

The magnitude of the average acceleration of the ball during this time interval will be 1969.69 m/s².

The rate of velocity change concerning time is known as acceleration.

Given data;

Initial velocity, u= 27.5 m/s

Rebound velocity, v= 21.0 m/s

Time elapsed, t = 3.30 × 10⁻³ seconds.

To find ;

Average acceleration, a

The average acceleration when the change in velocity is observed by the formula as:

\(\rm a_{avg}= \frac{v-u}{t}\)

Substitute the given values:

\(\rm a_{avg}= \frac{27.5-21.0}{3.30 \times 10^{-3}} \\\\ a_{avg}= 1969.69 \ m/s^2\)

Hence, the magnitude of the average acceleration of the ball during this time interval will be 1969.69 m/s².

To learn more about acceleration, refer to the link https://brainly.com/question/2437624#SPJ1.

#SPJ1

Answer:

7 seconds

Explanation:

please see paper!

vf² = vo²+2ad

vf=vo+at

vf²=3.5²+2.2.75

vf²=312.25

vf=17.67 m/s

vf=vo+at

17.67 = 3.5 +2t

t=7.085 s

Answer:

As the temperature increases, the volume of the material also increases. This is known as thermal expansion. It can also be explained as the fractional change in the length or volume per unit change in the temperature.

The relation between alpha, beta, and gamma is given in the form of a ratio and the ratio is 1:2:3 and can be expressed as:

alpha=fracbeta2=fracgamma3

Following is the relation between the three:

L = L (1 + α.ΔT)

Where, α is the coefficient of linear expansion  

A = A (1 + β.ΔT)

Where, β is the coefficient of aerial expansion

V = V (1 + γ.ΔT)

Where, γ is the coefficient of cubical expansion  

V = V + γV.ΔT

V = V (1 + γ.ΔT)  

L3 = L3 (1 + α.ΔT)3

L3 = L3 (1 + 3α.ΔT + 3α2.ΔT2 + α3.ΔT3)

L3 = L3 (1 + 3α.ΔT)

Alpha, beta, and gamma are related to one another in the form of a ratio, and that ratio is 1:2:3, and yes they are universal constants.

A substance's volume expands while its mass stays constant. Heating is typically the cause of expansion. When a substance is heated, the molecular bonds separating its particles weaken, the particles move more quickly, and the substance expands as a result.

Determine the relation as shown below,

L = L (1 + α × Δ T)

here, α is the coefficient of linear expansion  

A = A (1 + β × Δ T)

here, β is the coefficient of aerial expansion

V = V (1 + γ × Δ T)

here, γ is the coefficient of cubical expansion  

V = V + γ × V × Δ T

V = V (1 + γ × ΔT)  

L3 = L3 (1 + α × Δ T)3

L3 = L3 (1 + 3α × ΔT + 3α2 × ΔT2 + α3 × ΔT3)

L3 = L3 (1 + 3α × Δ T)

To know more about expansion:

https://brainly.com/question/28942019

#SPJ2

Answer:

i am not a point taker i help people when they need help

Explanation:

3

i think it is right

Answer:

Warming up may help reduce muscle soreness and lessen your risk of injury. Cooling down after your workout allows for a gradual recovery of preexercise heart rate and blood pressure.

Explanation:

The thrust of the rocket is 2,340,000 Newtons. The rocket engine consumes 450 kg of fuel per minute and the exhaust speed of the ejected fuel is 5.2 km/s,

To calculate the thrust of the rocket, we can use the equation:

Thrust = mass flow rate * exhaust velocity

Given that the rocket engine consumes 450 kg of fuel per minute and the exhaust speed of the ejected fuel is 5.2 km/s, we can substitute these values into the equation to find the thrust of the rocket.

First, we need to convert the exhaust velocity from km/s to m/s:

Exhaust velocity = 5.2 km/s * 1000 m/km

Exhaust velocity = 5200 m/s

Next, we can calculate the thrust using the mass flow rate and exhaust velocity:

Thrust = 450 kg/min * (5200 m/s)

Thrust = 2340000 N

Therefore, the thrust of the rocket is 2,340,000 Newtons.

Learn more about thrust here

https://brainly.com/question/18763386

#SPJ11