your car travels north along the highway at a constant speed of 65 mph for 30 minutes. compute the magnitude of the acceleration that the car experiences. (there are 1608 meters in a mile)

Assume the angle of the mirror relative to the horizontal in figure 16.12 is 0 = 20°. The reflected beam forms a 70° angle with the horizontal.

The angle of incidence i equal the angle of reflection (r), which means that:

i = r

We can use this fact to calculate the angle formed by the incident beam and the mirror. This is known as "a" angle.

a = 90° - i

a = 90° - r

Because i = r, we can simplify this to:

a = 90° - i

a = 90° - r

a = 90° - 20°

a = 70°

We can now apply the law of reflection to determine the angle that the reflected beam makes with the horizontal. According to the law of reflection, the angle of incidence equals the angle of reflection, which means:

o = r

Because we already know that the angle of incidence equals a, we can use this to calculate the angle of reflection:

o = r

o = a

o = 70°

As a result, the reflected beam forms a 70° angle with the horizontal.

Learn more about angle here:

https://brainly.com/question/2664084

#SPJ1

A comet's tail points after its closest approach to the Sun:

When a comet approaches the Sun, the heat causes some of its frozen gases and ices to vaporize, creating a cloud of gas and dust around the nucleus of the comet.

The solar wind, which is a stream of charged particles constantly flowing out from the Sun, interacts with the gas and dust in the comet's atmosphere and pushes it away from the Sun.

The direction of the solar wind is generally outward from the Sun, so the gas and dust in the comet's tail is pushed in the opposite direction, away from the Sun.

The direction of the tail, therefore, is always away from the Sun, regardless of the position or motion of the comet.

Therefore, the correct answer is not among the options provided, but if we assume that the question is asking about the direction of the tail relative to the comet's direction of motion, the answer would be B) behind its direction of motion.

To know more about comet's :

https://brainly.com/question/28543341

#SPJ11

The discovery of ribozymes provide evidence that life on the early earth may have been based on RNA world hypothesis.

We must think about how these mechanisms developed during evolution in order to completely comprehend the processes taking place in modern living cells.

The production of genetic information, which today requires incredibly complicated machinery and travels from DNA to protein via an intermediary called RNA, is the most fundamental of all such issues.

One theory holds that there was an RNA world on Earth before contemporary cells emerged. This is the hypothesis.

RNA was a genetic information repository and a catalyst for chemical reactions in the earliest cells.

Proteins took over as the main catalytic and structural component of cells considerably earlier in the evolutionary process than DNA, which didn’t become the major genetic component until much later. If this hypothesis is correct, the departure from the RNA world was never truly complete.

To know more about RNA World visit:

https://brainly.com/question/25979866

#SPJ4

Acceleration = 4 m/s²

Step-by-step explanation:-

Let's solve this question easily...

Given,

Initial velocity (u) = 3 m/s

Final velocity (v) = 5 m/s

Displacement (s) = 2m

Using the formula,

\( \frac{ {v}^{2} - {u}^{2} }{2as} \)

So, in order to get the value of a, let's do:

\(a = \frac{ {v}^{2} - {u}^{2} }{2s} \)

Now substitute all the given values. So,

\(a = \frac{ {5}^{2} - {3}^{2} }{2 \ \times 2} \)

\(a = \frac{25 - 9}{4} \)

\(a = \frac{16}{4} \)

\(a = 4 \: m / {s}^{2} \)

Note:- You can also write the answer as:

\(4 \: m. {s}^{ - 2} \)

Therefore, the answer is 4 m/s² or 4 m.s^-2

✍️ By Benjemin ☺️

The momentum of the ball after 0.2 s is 150.

We are to find the momentum of the ball after 0.2s, ignoring air resistance. Given, Initial velocity of the ball, u = 150 m/s

Time after which momentum is to be found, t = 0.2s

Components of velocity, Vx = u = 150 m/sVy = 0 m/s

We know that, momentum (p) = mass (m) × velocity (v)Where, mass (m) = 1 kg (given)

velocity (v) = √ (Vx² + Vy²)

Momentum (p) = 1 × √ (150² + 0²) = 1 × 150 = 150

Learn more about momentum

https://brainly.com/question/30677308

#SPJ11

Answer:

F = I L B     describes the perpendicular force on a wire of length L in a uniform field B

B = F / (I L) = 1.2 / (9 * 2.5) = .053 Tesla

Answer:

b

Explanation:

It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then the pulley rope is pulled more than 1 meter, but less than 3 meters.

It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then. The correct answer is a. the pulley rope is pulled 1 meter.

When lifting a piano using a pulley system, the distance the pulley rope is pulled will be the same as the distance the piano is lifted. This is due to the mechanical advantage of the pulley, which reduces the amount of effort needed to lift the piano but does not change the distance the rope is pulled.

In a simple single fixed pulley system, where one end of the rope is attached to a fixed point and the other end is used to lift the piano, the distance the pulley rope is pulled will indeed be the same as the distance the piano is lifted.

To know more about piano

https://brainly.com/question/29676926

#SPJ2

1. The height of the image is 0.287 m.

2. The wavelength of the light is 563 nm.

1. The image distance, denoted as `i`, is determined by the lens formula: `1/f = 1/o + 1/i`, where `f` represents the focal length, `o` is the object distance, and `i` represents the image distance. Given `f = 28.3 cm` and `o = 1.78 m`, we need to convert the object distance from meters to centimeters: `o = 1.78 m = 178 cm`. Therefore, the image distance is calculated as follows:

i = (1/f - 1/o)^-1 = (1/28.3 - 1/178)^-1 = 24.53 cm.

The image height, denoted as `h'`, can be determined using the object height `h` and the magnification `m` relationship: `h' = m * h`. The magnification `m` is given by `m = -i/o`, where the negative sign indicates an inverted image. Thus,

m = -i/o = -(24.53 cm)/(178 cm) = -0.138.

The image height `h'` is obtained by multiplying `h` by `m`: `h' = m * h`, where `h = 2.08 m`. Therefore,

h' = (-0.138) * 2.08 = -0.287 m.

The negative sign signifies an inverted image. Hence, the height of the image is determined as `0.287 m`, and it is inverted.

2. Bright fringes are observed at angles `theta` satisfying the condition `d sin theta = m lambda`, where `d` represents the spacing between two slits, `m` is an integer indicating the fringe order, and `lambda` denotes the wavelength of light. In this case, given `d = 1/20 mm` and `m = 1`, the angle `theta` corresponding to the first bright fringe is given by `tan theta = x/L`, where `x` represents the separation between two fringes, and `L` is the distance from the grating to the screen. With `x = 27.2 mm` and `L = 2.41 m`, we can calculate:

tan theta = (27.2 mm)/(2.41 m) = 0.01126.

Therefore, `sin theta = tan theta = 0.01126`.

Consequently, the wavelength `lambda` is determined using the formula `lambda = d sin theta / m`, where `d = 1/20 x 10^-3 m`, `sin theta = 0.01126`, and `m = 1`:

lambda = (1/20 x 10^-3 m) x 0.01126 / 1 = 5.63 x 10^-7 m = 563 nm.

In summary:

1. The height of the image is 0.287 m.

2. The wavelength of the light is 563 nm.

Learn more about wavelength

https://brainly.com/question/31143857

#SPJ11

The center of mass is described as a location relative to an object or set of objects. It is the average location of all the system's components, weighted by their masses. The center of mass is situated at the centroid of basic rigid objects with equal density.

The center of mass of a mass distribution in space (also known as the equilibrium point) is the singular location at any particular moment where the weighted relative position of the dispersed mass amounts to zero. This is the point at which a force can be applied to produce a linear acceleration without producing a rotational acceleration.

Calculations in physics are frequently simpler when they are expressed in terms of the center of mass. It is a fictitious spot at which the complete mass of an object can be supposed to be concentrated in order to visualize its motion.

learn more about  center of mass

https://brainly.com/question/30259066

#SPJ1

If the current that is circuit is tripled,  the power is increased by a factor of 9. Option D

The term power refers to the rate of doing work. Now if we have to obtain the work done by the use of the formula; P = I^2R

Now if the current that is circuit is tripled, the power is now obtained by;

P = (3I)^2R = 9I^2R hence the power is increased by a factor of 9.

Learn more about power  in a circuit:https://brainly.com/question/2933971

#SPJ1

Historically, photographs taken by American spy planes at high altitudes have been used for various purposes such as reconnaissance and intelligence gathering.

Depending on the specific photograph in question, it could potentially show a wide range of information such as military installations, troop movements, or other sensitive information. The altitudes at which a photo is taken can affect the level of detail that can be seen in the image. However, it is important to note that the use of such technology can also raise privacy and security concerns, particularly if it is used to gather information on individuals or groups without their consent or knowledge.

To know more about altitudes, here

brainly.com/question/4390102

#SPJ4

The runner's total distance covered was 800 meters.  Her displacement (straight-line distance between start-point and end-point) was zero.

Her average speed = (distance)/(time) = 4.04 m/s

Her average velocity = (displacement) / (time) = zero (choice - c)

To find the magnitude of the force applied to each side of the nutcracker required to crack the nut, we need to use the formula: F = (2Fn*d) / D.  where F is the required force, Fn is the force applied by each side of the nutcracker, d is the distance between the pivot point and the nut, and D is the distance between the pivot point and the point where the force is applied.

So, the magnitude of the force required to crack the nut can be expressed as F = (2Fn*d) / D. This formula shows that the magnitude of the force required to crack the nut is directly proportional to the force applied by each side of the nutcracker (Fn), and the distance between the pivot point and the nut (d), and inversely proportional to the distance between the pivot point and the point where the force is applied (D).

To know more about magnitude visit :-

https://brainly.com/question/31022175

#SPJ11

We can use the nebular theory to explain why the planets revolve around the Sun in the same direction, and it is because they inherited the same direction of rotation from the spinning protoplanetary disk during their formation.

The Nebular Theory is a theory about the formation of the Solar System. It proposes that our Solar System formed from a giant cloud of interstellar gas and dust called a nebula. This nebula eventually collapsed due to gravity, and it started to spin. As the nebula spun faster and faster, it flattened out into a disk-like structure called a protoplanetary disk.

Over time, small particles in the disk started to stick together and form larger and larger objects called planetesimals. These planetesimals then collided with each other and merged to form the planets that we see today.

The reason why the planets revolve around the Sun in the same direction is due to the conservation of angular momentum. Angular momentum is a measure of how much an object is rotating or spinning. According to the conservation of angular momentum, the total amount of angular momentum in a system remains constant unless an external torque acts on the system.

In the case of the Solar System, the protoplanetary disk was spinning in a particular direction. As the planets formed from this disk, they inherited the same direction of rotation. This is why all the planets in our Solar System orbit the Sun in the same direction.

Therefore, we can use the nebular theory to explain why the planets revolve around the Sun in the same direction, and it is because they inherited the same direction of rotation from the spinning protoplanetary disk during their formation.

Learn more about nebular theory https://brainly.com/question/3433647

#SPJ11

Explanation:

The correct order of charges depends on their sign as follows:

If Q1 and Q3 are opposite in sign, they will attract each other, and the direction of the force between them will be from Q1 to Q3.

If Q2 and Q3 are the same in sign, they will repel each other, and the direction of the force between them will be away from Q2 and towards Q3.

The magnitude of the force between two charges depends on the distance between them and the value of the charges. The force is stronger if the charges are larger and closer together, and weaker if they are smaller and farther apart.

The required current in milliamps when charge and time are given is calculated to be 0.15 milliamps.

Current is known to be defined as rate of flow of charge.

If q is the charge represented in coulombs, t is in seconds, then i is represented in ampere.

Mathematically, i = q/t

Here, static charge q is given as 0.3 μc = 0.3 × 10⁻⁶ c

Time t is given as 2 milliseconds = 2 × 10⁻³ s

Now, let us find the current in milliamps.

i = q/t

Current i = (0.3 × 10⁻⁶)/(2 × 10⁻³) = 0.15 × 10⁻³ A = 0.15 milliamps

Thus, the current is calculated to be 0.15 milliamps.

To know more about current:

https://brainly.com/question/1418143

#SPJ4

In designing a device to maximize heat energy transfer, it is important to consider the materials and design elements that can facilitate efficient heat transfer.

Some key considerations include using materials with high thermal conductivity, maximizing surface area for contact between materials, and minimizing barriers to heat transfer such as insulating layers.

For example, a heat sink in a computer might use copper or aluminum, which are both materials with high thermal conductivity, to draw heat away from the CPU. The design of the fins on the heat sink can also increase the surface area available for heat transfer while reducing the thickness of any insulating layers can help to minimize barriers to heat flow.

Overall, designing for efficient heat energy transfer requires careful consideration of both materials and design elements and a deep understanding of the principles of thermal conductivity and heat transfer.

To know more about thermal conductivity, visit:

https://brainly.com/question/7643131

#SPJ1

B

Explanation:

I not sure try to solve I am sorry

The refraction is the phenomena of bending of light towards or away from the normal when the light enter from one medium to another.

The light when travels from denser to rarer medium the light bends away from the normal and when the light enter from rarer to denser medium the light bends towards the normal. The common example of refraction that we see in our daily life is when the coin on the bottom of the bucket appears a little bit upwards than its actual position.

Also, the formation of a rainbow is also related to the phenomena of refraction.

To know more about Refraction, visit,

https://brainly.com/question/27932095

#SPJ4

Answer:

A SCALE

Explanation:

The work needed to stretch the spring a distance of 5 cm is 1100 N·cm.

To determine the work needed to stretch the spring a distance of 5 cm, we need to calculate the area under the force vs. distance graph within that range. Looking at the graph, we can see that the force initially increases linearly as the distance increases and then levels off.

To calculate the work, we need to find the area of the triangle formed by the initial linear part of the graph and the rectangle representing the constant force. The height of the triangle is the force at 5 cm, which appears to be around 200 N. The base of the triangle is 5 cm. The area of the triangle is given by 0.5 * base * height, which is 0.5 * 5 cm * 200 N = 500 N·cm .The rectangle representing the constant force has a height of 200 N and a base of 3 cm (since it starts at 2 cm and ends at 5 cm). The area of the rectangle is base * height, which is 3 cm * 200 N = 600 N·cm.

Adding the areas of the triangle and the rectangle, we get a total work of 500 N·cm + 600 N·cm = 1100 N·cm.

For such more questions on work

https://brainly.com/question/11715124

#SPJ8

Answer:

A

Explanation:

The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.

To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.

As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.

Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."

Learn more about convergence here:

https://brainly.com/question/28501133

#SPJ11

Answer:

Because environmental history deals with some of the most important issues regarding the future of our planet. The hi/story of nature parks around the globe. understand the impact of humans on pollution and health. It opens our eyes for the scarcity of resources and for their conservation into the future.

Explanation:

:-)

the definition of density is: the measure of mass of a material within a given space

The density of an object is the relation that exist between the mass and the space that the object occupies. The general formula of the density is:

ρ = m/v

Where:

For example if we want to know which is the density of a body that has a mass of 100g and a volume of 150 cm³, applying the density formula we get:

ρ = 100 g/150 cm³

ρ = 0.666 g/cm³

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

Learn more about density in: brainly.com/question/1354972

#SPJ4

Hi there!

Assuming the ball is hollow and spherical:

\(I = \frac{2}{3}MR^2\)

Since the ball is both rolling and moving linearly, the total kinetic energy is comprised of both ROTATIONAL and TRANSLATIONAL kinetic energy.

\(KE_T = KE_R + KE_{TR}\)

Recall the equations for both:

\(KE_{TR} = \frac{1}{2}mv^2\\\\KE_R = \frac{1}{2}I\omega^2\)

We can rewrite the rotational kinetic energy using linear velocity using the following relation:

\(\omega = \frac{v}{r}\)

\(KE_R = \frac{1}{2}(\frac{2}{3}mR^2(\frac{v^2}{R^2}))\\\\KE_R = \frac{1}{3}mv^2\)

We can now represent the situation as a summation of energies:

\(.9(KE_R + KE_{TR}) = PE\\\\.9(\frac{1}{2}mv^2 + \frac{1}{3}mv^2) = mgh \\\\.9(\frac{5}{6}mv^2) = mgh\)

Cancel out the mass and rearrange to solve for height:

\(\frac{3}{4}v^2 = gh \\\\h = \frac{3v^2}{4g}\)

Plug in the given velocity and g = 9.8 m/s².

\(h = \frac{3(8^2)}{4(9.8)} \approx \boxed{4.9 m}\)