typically astronomers don't know the inclination of an exoplanet system. what can astronomers say about a planet's mass even if the inclination is not known

Answers

Answer 1

Even if the inclination of an exoplanet system is not known, astronomers can still determine certain properties of the planet, including its minimum mass. This is achieved through the radial velocity method, also known as the Doppler spectroscopy method.

The radial velocity method relies on measuring the tiny wobbles in a star's motion caused by the gravitational pull of an orbiting planet. As a planet orbits a star, it induces a Doppler shift in the star's spectral lines, causing the star to periodically move towards and away from us.

By analyzing the periodic variations in the star's radial velocity, astronomers can determine the planet's minimum mass (M sin(i)), where i is the unknown inclination. The minimum mass represents the lower limit of the planet's mass, assuming the orbital plane is edge-on (i.e., i = 90 degrees). This assumption allows astronomers to determine a lower bound on the planet's mass.

However, without knowledge of the inclination, astronomers cannot accurately determine the planet's true mass, orbital parameters, or physical characteristics such as its size or density. Additional methods, such as the transit method or direct imaging, are needed to obtain more detailed information about the exoplanet's properties.

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Related Questions

for bge setting, adjust side view mirrors out ____ degrees from the traditional mirror setting.

Answers

The recommended adjustment for BGE setting is to adjust the side view mirrors out 15-20 degrees from the traditional mirror setting.

In a traditional mirror setting, the side view mirrors are angled towards the car's body, allowing the driver to see the sides of the car. However, in a BGE (Big Giant Eliminator) setting, the mirrors are adjusted further outwards to increase the driver's field of vision. This allows the driver to see more of the road behind and beside the car, reducing blind spots and improving safety. The recommended adjustment of 15-20 degrees is based on research and testing conducted by automotive experts.

The BGE setting is designed to minimize blind spots and reduce glare from the vehicles behind you. By adjusting the side view mirrors out 15 degrees, you can increase your field of view and better monitor the areas beside and behind your vehicle. This adjustment helps improve overall driving safety and reduce the risk of accidents due to blind spots.

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When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. Friction between a car's tires and the road produce heat.
N
B. Sunlight strikes a solar panel, generating electricity.
I c. Stereo speakers emit sound when powered by electrical energy,
D. Wind moves a turbine, generating electricity.
I E. Power lines heat up as electricity flows through them.

Answers

When energy is transferred from one part of a system to another, some of the energy is lost during the transfer are:

A. Friction between a car's tires and the road produce heat.

E. Power lines heat up as electricity flows through them.

What is energy transfer?

Energy cannot be created or destroyed, but it can be transferred and transformed. There are a number of different ways energy can be changed, such as when potential energy becomes kinetic energy or when one object moves another object

There are three types of thermal energy transfer: conduction, radiation, and convection. Convection is a cyclical process that only occurs in fluids. Water molecules at the bottom of a heated pot begin to move faster and then spread out. These excited molecules rise; the cooler, denser waterfalls. The process then repeats.

At the time of transformation, there is a loss of energy in the atmosphere the two examples are Friction between a car's tires and the road producing heat. and Power lines heat up as electricity flows through them.

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a _____ transistor is formed by sandwiching a very thin piece of p-type germanium between two slices of n-type germanium

Answers

A PNP transistor is formed by sandwiching a very thin piece of p-type germanium between two slices of n-type germanium.

In a PNP transistor, the two outer layers of the sandwich are made of n-type germanium, which has an excess of electrons. The middle layer is made of p-type germanium, which has a deficiency of electrons (or holes) that can accept electrons.

When a voltage is applied to the base of the transistor, it allows a small current to flow from the emitter to the collector. This current is controlled by the voltage applied to the base, and can be used to amplify or switch electronic signals.

The PNP transistor is one of two main types of bipolar junction transistors (BJTs). The other type is the NPN transistor, which is formed by sandwiching a thin piece of n-type material between two pieces of p-type material.

Both PNP and NPN transistors are widely used in electronic circuits as amplifiers, switches, and other applications. They are essential components of modern electronics and have revolutionized the field of electronics and computing.

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Question 53 Marks: 1 A jet pump will lift water a maximum ofChoose one answer. a. 500 feet b. 120 feet c. 33.9 feet d. 15 feet

Answers

A jet pump commonly used for domestic water supply systems will lift water a maximum of 120 feet. Option B is the correct answer.

It works by using a combination of suction and pressure to draw water up from a well or other water source.

The pump consists of two main parts: a shallow well jet assembly and a deep well jet assembly.

The shallow well jet assembly is used for wells that are less than 25 feet deep, while the deep well jet assembly is used for deeper wells.

The maximum depth that a jet pump can lift water depends on the pump's design, but most jet pumps can lift the water up to a depth of around 120 feet.

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The question -

A jet pump lifts water to a maximum of how many feet?

Options are -

a. 500 feet

b. 120 feet

c. 33.9 feet

d. 15 feet.

along which axis must the rocket travel, and in which direction, in order for the rocket scientists to measure bb>ba ?

Answers

In order for rocket scientists to measure bb>ba, the rocket must travel along the vertical axis, specifically the y-axis, and in an upward direction. This is because "bb" typically represents the final altitude or height, while "ba" refers to the initial altitude or height.

By ensuring that the rocket travels upward along the vertical axis, it ensures a gain in altitude, resulting in a positive difference between the final and initial altitudes (bb - ba). Rocket scientists can then monitor and measure this difference in height to confirm that bb>ba. This measurement is crucial in various applications, such as evaluating rocket performance, determining trajectory, and predicting the apogee or maximum altitude that the rocket will reach.

By focusing on the vertical axis and upward direction, scientists can accurately assess the rocket's altitude change and overall performance.

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An inclined ramp has a height (rise) of 0.50m and a horizontal distance (run) of 3.25m. What
is the displacement of the ramp and the direction?

Answers

The displacement of ramp is 3.288 m and the ramp makes an angle of Ф = 8.7° with the horizontal.

What is displacement?

Displacement [x] of an object is the length of the straight line joining the initial and final position of the object. Mathematically, if the velocity of the body is [v] m/s at an instant of time, then displacement can be written as-

v = dx /dt

dx = vdt

∫dx = ∫vdt

x = vt

Given is an inclined ramp that has a height of 0.50 m and a horizontal distance (run) of 3.25 m.

We can find the displacement of ramp using the Pythagoras theorem. The base will be equal to horizontal distance and height will be equal to vertical distance. The length of the hypotenuse will be equal to that of displacement. Therefore -

[h]² = [b]² + [p]²

[h]² = (0.5)² + (3.25)²

[h]² = 10.8125

[h] = √10.8125

[h] = 3.288 m

Direction can be calculated using the tangent function as follows.

tan Ф = [p]/[b]

tan Ф = (0.5)/(3.25)

Ф = tan⁻¹ (0.5)/(3.25)

Ф = 8.7°

Therefore, the displacement of ramp is 3.288 m and the ramp makes an angle of Ф = 8.7° with the horizontal.

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A force of 10 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 7 in. beyond its natural length? W X ft-lb

Answers

The work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

We are given a spring which is stretched beyond its natural length by 2 inches, by applying a force of 10 pounds.

We have to calculate the work done in stretching it further to 7 inches beyond its natural length, in ft-lb.

In order to calculate the work done, we need to know the spring constant (k) of the spring and then use the formula for work done by a spring, which is given by

W = (1/2)k(x2² - x1²)

Where, W is the work done, k is the spring constant, x1 is the initial position of the spring, and x2 is the final position of the spring.So, we need to find the spring constant k of the spring, in order to calculate the work done.Let the spring constant be k lb/inch.

We know that F = kx

where, F is the force applied, x is the displacement, and k is the spring constant.

Substituting the values, we get10 = k(2)k = 5 lb/inch.

Now, we can use the formula for work done, which is W = (1/2)k(x2² - x1²)

Substituting the values, we get W = (1/2)(5)(7² - 2²)W = (1/2)(5)(45)W = 112.5 ft-lb.

Therefore, the work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

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why does pressure on Diver increases with depth?​

Answers

Answer: the pressure increases with the amount of water pushing in on all sides of the diver, for example, when you jump into a pool and you head is above water it a little harder to breathe, it is the same way for divers when they are diving at increasingly deep depths, the deeper you are the more water is pressing in on you.

Explanation:

The deeper you go under the sea, the greater the pressure of the water pushing down on you. For every 33 feet (10.06 meters) you go down, the pressure increases by one atmosphere .

Help plzz!!
An archer pulls back the string of the bow (spring constant of 250 N/m) a distance of 1 meter. How much elastic energy is stored?
a)251.5 J
b)125 J
c)2500 J

Answers

Answer: It would be 125 J

Answer:

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Explanation:

What the suns mass in scientific notation????

Answers

Explanation:

In scientific notation the Sun's mass is: =1.989 x 10 ^30 kg

Answer:

I think in scientific notation the Sun's mass becomes: M Sun = 1.989 x 10 30 kg. The number above the ten, called the power of ten or exponent, stands for the number of decimal places. If it is positive, as in the mass of the Sun, the decimal places are in front of the decimal point.

I hope this help you!:)


A 1 kg cart has 5 J of work done on it. If the initial velocity of the cart was 3 m/s, what is the final velocity of the cart?
A.5.6
B.3.1
C.3.73
D.4.4J

Answers

Answer:

D: 4.4m/s

Explanation:

From a known theorem the total work on a body is equal of the variation of kinetic energy:

\(W = \Delta K = K_f-K_i = \frac12 mv_f^2 - \frac12 m v_i^2\)

Taking the first and last step in the chain of equalities and replacing the values we have, we get:

\(5 = \frac12(1)v_f^2 - \frac12(1)(3)^2\\10= v_f^2 -9 \rightarrow v_f^2 = 19 \rightarrow v_f=\sqrt19 \approx 4.4m/s\)

Two point charges are placed at the following points on the x-axis. +2.0 C at
×=0, -3.0.C at 0.40m. Find the electric field strength at 1.20m?

Answers

The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:

\($$F=k\frac{q_1q_2}{r^2}$$\)

where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:

\($$E=\frac{kq}{r^2}$$\)  where k is the Coulomb constant.

So, let's calculate the electric field due to each charge separately and then add them up:

For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)

For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:

\($$E_2=\frac{kq_2}{r^2}\)

\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)

The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.

To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)

Substituting the values of E1 and E2:

\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)

net comes out to be -1.5×10⁴ N/C.

Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

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does Bart Allen from the young justice show like men cause some one told me that watching season 3 and is the flash a bad guy for going back in time

Answers

Answer:

no

Explanation:

FAILURE OF THE PRODUCT Instructions 1. Select THREE from everyday below items from the list and discuss the way this item can potentially fail (list minimum THREE failures). Justify your answer by considering Load Strength graph and what can be done to prevent those failures. -Ball Pen -Room Key - Blender

Answers

The three product which can be potentially fail considering Load Strength graph and precautionary measure to prevent failure are as below;

Ball Pen:

1. Ink Leakage: One potential failure of a ball pen is ink leakage. This can occur due to poor sealing between the ink reservoir and the ballpoint mechanism. Ink leakage can result in messy hands, stained documents, and reduced functionality of the pen. To prevent this failure, manufacturers can improve the quality control process to ensure proper sealing and use high-quality materials for the pen's components.

2. Ballpoint Jamming: Another failure is ballpoint jamming, where the ball gets stuck and prevents smooth writing. This can be caused by a buildup of dried ink or debris inside the pen's mechanism. To prevent ballpoint jamming, regular cleaning and maintenance of the pen can be recommended. Additionally, manufacturers can design the pen with features that facilitate easy cleaning or provide instructions on how to clear any blockages.

3. Weak Barrel Construction: The barrel of the pen may also be prone to failure if it is weak or brittle. Excessive pressure or rough handling can lead to cracks or breakage, rendering the pen unusable. To prevent this, manufacturers can use durable materials for the pen barrel, such as sturdy plastics or reinforced metal, and perform quality checks to ensure structural integrity.

Room Key:

1. Keycard Malfunction: A potential failure of a room key is a malfunction in its electronic components. This can result in the keycard being unreadable by the door lock system, preventing access to the room. To prevent this failure, regular maintenance and replacement of keycard readers can be implemented. Additionally, guests should be advised to keep their keycards away from magnets and electronic devices that can interfere with the card's functionality.

2. Magnetic Strip Damage: Another failure can occur if the magnetic strip on the keycard gets damaged or demagnetized. This can happen due to exposure to magnetic fields or physical damage. To prevent this failure, keycards can be made more durable with protective coatings or alternative technologies such as RFID. Guests should also be educated on proper handling and storage of keycards to avoid damage.

3. Battery Drain: Some room keys use batteries to power their electronic components. A failure can occur if the battery drains, leading to an inactive keycard. To prevent this, low-power consumption designs can be implemented, and regular battery checks or replacements can be carried out by hotel staff. Guests should be informed about the importance of returning the keycard to the front desk for recycling or proper disposal to ensure the battery is replaced as needed.

Blender:

1. Motor Burnout: One potential failure of a blender is motor burnout due to prolonged use or overloading. Continuous operation at high speeds or attempting to blend hard or frozen ingredients beyond the blender's capacity can cause the motor to overheat and fail. To prevent motor burnout, manufacturers can provide clear guidelines on the maximum load capacity and recommended usage durations. Automatic thermal protection mechanisms can also be incorporated to shut off the blender if it detects excessive heat.

2. Blade Jamming: Another failure can occur if food particles or ingredients get jammed between the blender's blades, preventing them from spinning freely. This can happen if the blender is not properly cleaned or if ingredients are not adequately prepared before blending. To prevent blade jamming, users should be advised to clean the blender thoroughly after each use and ensure that ingredients are cut into manageable sizes. Manufacturers can also design blades with accessible mechanisms for easy cleaning or provide cleaning tools.

3. Leakage: A failure in a blender can also manifest as leakage. This can happen if the blender jar or its sealing components are damaged or improperly assembled. Liquid or food can leak out during blending, resulting in a messy and potentially unsafe situation. To prevent leakage, manufacturers should ensure proper sealing mechanisms and use high-quality materials for the blender jar and lid. Regular inspection of the sealing components can be advised,

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(True or False) To effectively use Gauss's Law to find an electric field, I must choose my Gaussian surface such that E is perpendicular to dA.

Answers

The given statement "To effectively use Gauss's Law to find an electric field, I must choose my Gaussian surface such that E is perpendicular to dA" is  False.

According to Gauss's Law, the electric flux through a closed surface is directly proportional to the charge enclosed by that surface. The choice of Gaussian surface is not dependent on the orientation of the electric field with respect to the area element (dA).

Gauss's Law states that the electric flux (∮ E · dA) through a closed surface is given by :- ∮ E · dA = (1/ε₀) ∫ ρ dV

where ∮ E · dA is the electric flux through the closed surface, ε₀ is the electric constant (also known as the vacuum permittivity), ρ is the charge density (either volume charge density or surface charge density) of the object, and dV is a differential volume element inside the closed surface.

The orientation of the electric field (E) with respect to the area element (dA) is not a determining factor in choosing a Gaussian surface. Gauss's Law holds true regardless of the orientation of E with respect to dA.  

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Consider a 793 N cat burglar supported by
a cable as in the figure.
34.6
Find the tension in the inclined cable.
Answer in units of N.
part 2 of 2
Find the tension in the horizontal cable.
Answer in units of N.

Consider a 793 N cat burglar supported bya cable as in the figure.34.6Find the tension in the inclined

Answers

The tension in the inclined cable is  1,416.07 N and the tension in the horizontal cable is 1,132.85 N

Resolving Tension into its rectangular components,

we get,

The vertical component is Tsinθ

The horizontal component is Tcosθ

The vertical component is equal to the weight of the cat burglar,

It is given that θ = 34.6° and Weight (W) = 793 N

Now, Tsinθ = 793

Tsin34.6° = 793

T*0.56 = 793

T = 793/0.56 = 1,416.07 N

Hence, the tension in the inclined cable is  1,416.07 N

Now, the tension in the horizontal cable is  Tcosθ = 1,416.07cos34.6 = 1,416.07*0.8 = 1,132.85 N

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what is the energy of an electromagnetic wave that has a frequency of 5.0 x 10⁵ Hz?

what is the energy of an electromagnetic wave that has a frequency of 5.0 x 10 Hz?

Answers

Answer: 3.3 x 10^-28 J

Explanation: just answered on a quiz!! :)

two objects with equal masses are a fixed distance apart. if the mass of each object were to be tripled, what would happen to the magnitude of the gravitational force between them?

Answers

The formula for the gravitational force between two objects is

F = G m₁ m₂/r².the gravitational pull between the two objects is multiplied by nine.

where r is the distance between the two items and m1 and m2 are the masses of the first and second objects, respectively.

First instance:

m₁ = m₂ = m

Given is the gravitational force between the items as

F = G m²/r²

Lasting Case:

m₁ = m₂ = 3 m

This revised value for the gravitational force between the objects is

F' = G (3m)²/r²

F' = 9 G m²/r²

F' = 9 F

Consequently, the gravitational pull between the two objects is multiplied by nine.

Complete question:Two objects of equal mass are a fixed distance apart. If the mass of each object could be tripled, the gravitational force between the objects would

a. decrease by one third

b. triple

c. decrease by one-ninth

d. increase 9 times

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A particle moving in a straight line with a constant acceleration covers 10m in 2 seconds and 22m in a further 2 seconds. How much further does it travel in the next two seconds?

Answers

The particle will travel  a distance of 28 m in the next two seconds

Acceleration

Acceleration is defined as the change in velocity with time

Acceleration = final velocity - initial velocity / timeCalculating initial velocity

distance covered = 10 m

time = 2 seconds

velocity = distance/time

initial velocity = 10/2

initial velocity = 5m/s

Calculating final velocity

distance = 22 m

time = 2 seconds

Final velocity = 22/2

Final velocity = 11 m/s

Calculating acceleration

Acceleration = change in velocity/time

acceleration = 11m/s - 5m/s /2 s

acceleration = 3m/s²

Calculating distance covered

Using the equation of motion:

s = ut + at²/2

s = 11 * 2 + 3 * 2²/2

s -=28 m

Therefore, the particle will travel  a distance of 28 m in the next two seconds

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Derive an algebraic equation for the vertical forc

Answers

To derive the algebraic equation for the vertical force, we must consider the forces acting in the vertical direction and apply Newton's second law of motion.

Newton's second law states that the net force acting on an object is equal to the product of its mass (m) and its acceleration (a). In the vertical direction, the forces that typically act on an object are gravity and any other forces such as the normal force or applied forces.

Assume that the vertical force is denoted as Fv. Forces acting in the vertical direction are typically mass (mg) and the normal force (N) exerted by the surface, if present. Therefore, the equation for the vertical force can be expressed as:

Fv = N - mg,

where:

Fv is the vertical force,

N is the normal force,

m is the mass of the object,

g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).

The normal force N is equal to the weight of the object if the object is at rest on a horizontal surface. In this case, N = mg. However, if the object is on an inclined plane or is subject to other forces, the normal force may differ from the weight.

By substituting the appropriate values ​​for the normal force and mass (mg), you can derive an algebraic equation for the vertical force based on the specific scenario you are considering.

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If an element forms a 3+ ion in which group of the periodic table would you expect to find it?

A. 15
B. 5
C. 13
D. 2

Answers

If an element forms a 3+ ion, one can expect to find it in group 13 of the periodic table (option C).

What is the periodic table?

Periodic table is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group (column).

The periodic table is made up of vertical columns called group and horizontal rows called periods.

Elements in group 13 form ions with +3 and +1 charges. The elements are as follows:

boron (B)aluminum (Al)gallium (Ga)indium (In)thallium (Tl)nihonium (Nh)

Therefore, group 13 elements in the periodic table form +³ ions.

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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped

Answers

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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treasure searching pirates walked due north for 2 hours through 4 miles of swamp. afterwards, they stopped for an hour of rest before continuing eastward for another 4 hours to cross 5-miles of jungle. calculate the average velocity in miles per hour of the above pirates. do not enter the unit with your answer.

Answers

The average velocity of the pirates is 1.44 miles/hr.

A vector quantity is an average velocity. The change in position or displacement (x) divided by the time intervals (t) in which the displacement happens yields the average velocity. Depending on the sign of the displacement, the average velocity can be positive or negative. Meters per second (m/s or ms-1) is the SI measure of average velocity.

total time = t₁ + 1 + t₂

T = 1 + 1 + 3

T = 5hr

Displacement = AC = √(4² + 6²)

S = √16+36

S = √52

Average velocity = Displacement/ Time

v = S/t

substituting the value in the above equation, we get

v = 7.2/5

v = 1.44 mile/hr

Thus, the average velocity of the pirates is 1.44 miles/hr.

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Body starts from rest and moves with some
acceleration. What is the ratio of the distance
travelled by the body during the 4 sec and 3 sec
second
(1) 7/5
(2) 7/3

(3) 5/7
(4) 8/7

Answers

None of the provided answer options (1) 7/5, (2) 7/3, (3) 5/7, (4) 8/7 matches the calculated ratio of 16/9.

To determe inthe ratio of the distance traveled by the body during 4 seconds to the distance traveled during 3 seconds, we need to consider the relationship between distance, time, and acceleration.

Let's assume the initial velocity of the body is u, and the acceleration is a.Using the equation of motion for linear motion:

s = ut + (1/2)at²

where s is the distance traveled, u is the initial velocity, t is the time, and a is the acceleration.

For the first 4 seconds, the distance traveled (s1) can be calculated as:

s1 = ut + (1/2)at² = u(4) + (1/2)a(4)² = 4u + 8a

For the next 3 seconds, the distance traveled (s2) can be calculated as:

s2 = ut + (1/2)at² = u(3) + (1/2)a(3)² = 3u + (9/2)a

Now, let's find the ratio of s1 to s2:

s1/s2 = (4u + 8a)/(3u + (9/2)a)

To simplify the expression, let's multiply the numerator and denominator by 2:

s1/s2 = (8u + 16a)/(6u + 9a)

Dividing both the numerator and denominator by u:

s1/s2 = (8 + 16(a/u))/(6 + 9(a/u))

Since the acceleration (a) is not related to the initial velocity (u), the ratio simplifies to:

s1/s2 = (8 + 16(a/u))/(6 + 9(a/u))

Therefore, the ratio of the distance traveled during 4 seconds to the distance traveled during 3 seconds depends on the ratio of acceleration to initial velocity.

Without more information about the specific values of acceleration and initial velocity, we cannot determine the exact ratio. Hence, none of the given options (1) 7/5, (2) 7/3, (3) 5/7, or (4) 8/7 can be confirmed as the correct answer without additional information.

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if you double the length of a cylindrical wire and reduce its diameter by half, the resistance of the wire will be

Answers

The resistance of the wire will increase by a factor of 8.

When the length of a wire is doubled, its resistance also doubles because resistance is directly proportional to the length. On the other hand, when the diameter of the wire is halved, the cross-sectional area of the wire reduces by a factor of 4 (πr^2 -> π(r/2)^2). As a result, the resistance decreases by a factor of 1/4.

So, when both changes are made, the resistance of the wire increases by a factor of 8 (2 x 4). This is because the effect of doubling the length is greater than the effect of halving the diameter. Thus, the net effect is an increase in resistance. This relationship between resistance, length, and cross-sectional area is described by the formula for resistance, which is R = ρL/A, where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is its cross-sectional area.

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During the motion of the slinky in a transverse wave, what do the particles of the slinky coil do?



Question 3 options:

the slinky particles move from the hand down the wave to the block


the slinky particles move side to side


the slinky particles move up and down

Answers

Answer:

C.) The slinky particles move up and down

Explanation:

Transverse Wave-

A wave that has a disturbance perpendicular to the wave motion

Hello! This is the correct answer! Have a blessed day! :)

If you are in K12, please review the lesson! :)  It will give you some very helpful definitions!  I hope this helped!

The characteristics of the traveling waves we can find the correct answer for the movement of the particles in the transverse wave is:

The slinky particles move up and down.

The traveling wave movement is a way of transmitting energy without mass movement, it is formed by two movements united, an oscillatory movement and a displacement movement, there are two possibilities:

Longitudinal wave. In this case, the oscillation of the particles is in the same direction as the movement of the wave. Transversal wave. The oscillation of the particle is perpendicular to the movement of the wave, see attached.

In both cases, the matter particles are oscillating around their equilibrium position and the wave is the one that has a displacement movement.

Let's review the claims:

a) False. The particle has an oscillatory motion, it does not have a net displacement

b) False. The movement is oscillatory

c) True. As the wave is transversal, the oscillatory movement from top to bottom.

In conclusion using the characteristics of the traveling waves we can find the correct answer for the motion of the particles in the transverse wave is:

the slinky particles move up and down

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During the motion of the slinky in a transverse wave, what do the particles of the slinky coil do?Question

A traveler covers a distance of 448 miles in a time of 12 hours. what is the average speed for this trip?

Answers

The average speed for this trip can be calculated by dividing the total distance traveled by the total time taken. In this case, the traveler covered a distance of 448 miles in a time of 12 hours. To find the average speed, we divide the distance (448 miles) by the time (12 hours).

Average Speed = Total Distance / Total Time

Average Speed = 448 miles / 12 hours

The average speed for this trip is 37.33 miles per hour.

To find the average speed, we divide the total distance (448 miles) by the total time (12 hours). This gives us an average speed of 37.33 miles per hour.

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An object is thrown off a cliff with a horizontal speed of 10 m/sec. After 3 seconds the object hits the ground. Find the height of the cliff.

Answers

The height of the cliff is 30 m.

How to find the height of the cliff?

Between distance/height, speed and time can be understood as follows.

The formula for distance/height is speed times time or written

s = (v) (t)

The formula for time is distance divided by speed or written

t = s ÷ v.

v is the symbol for speed (velocity),

s is the distance,

and t is the time.

The formula for speed is distance divided by time or written v = s ÷ t.

To determine the height of the cliff, use the equation:

S = (v) (t)

We have,

Speed of object thrown from the cliff = 10 m/s ⇒ (v)

The time it takes the object to hit the ground = 3 s ⇒ t

So, the height of the cliff is:

S = (10) (3)

= 30 m

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The radius of curvature of a rear- view mirror in a car is 4m. If a truck is behind the
car, located 5m from the rear-view mirror of the car. Calculate the size of the image
relative to the size of the truck and also find the position and nature of the image formed

Answers

The virtual image created by the rear-view mirror of the truck is upright and appears 0.67 times smaller than the actual size of the truck. It is located at a distance of 3.33m from the mirror.

To calculate the size and position of the image formed by the rear-view mirror, we can use the mirror formula and magnification formula.

The mirror formula is given by:

1/f = 1/v + 1/u

Where:

f = focal length of the mirror

Let v represent the image distance, which is the distance between the mirror and the location where the image is formed.

In this scenario, the rear-view mirror functions as a convex mirror with a radius of curvature (R) of 4m. The focal length (f) of a convex mirror is half the radius of curvature, which in this case is 2m.

The distance from the object to the mirror is referred to as the object distance (u), and it is specified as 5m. Our goal is to determine the image distance (v).

Using the mirror formula:

1/2 = 1/v + 1/5

Rearranging the equation:

By applying the formula

1/v = 1/2 - 1/5,

we can simplify it to

5/10 - 2/10,  which results in 3/10.

Taking the reciprocal:

v = 10/3 = 3.33m

Using the magnification formula, we can determine the relative size of the image compared to the size of the truck.

Magnification (m) = -v/u

Where:

m = magnification

v = image distance

u = object distance

Plugging in the values:

m = -(3.33/5) = -0.67

The negative sign indicates that the image formed by the convex mirror is virtual and upright, which signifies that it appears smaller than the actual object. Consequently, the size of the image is 0.67 times smaller compared to the size of the truck.

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metal object is earthed by connecting it to ......

Answers

Answer:

ii) Insulating materials that gain electrons when rubbed become negatively charged. c) An electric current is a flow of charge. d) An isolated metal object that is initially uncharged will gain charge if it is brought into contact with a charged object. e) A metal object is earthed by connecting it to the ground.

Explanation:

hope this helps you :)

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