a river has a constant current of 3 kph. at what angle to a boat dock should a motorboat maitining a constant speed

Answers

Answer 1

The motorboat should maintain a heading of approximately 18.4 degrees to the current of the river to reach the dock on the opposite side while maintaining a constant speed of 10 kph.

We can represent the speed of the boat as "v", and the speed of the river current as "u". In this case, v is the constant speed that the motorboat is maintaining, and u is the constant speed of the river current, which is given as 3 kph.

Let's call the angle that the boat needs to travel at to reach the dock "θ". We can use trigonometry to find the relationship between v, u, and θ.

We know that the boat's speed is equal to the hypotenuse of a right triangle, with the river current speed u as one side, and the component of the boat's speed perpendicular to the river current as the other side. This component can be represented as v sin(θ), since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle.

So we have:

v = √((v sin(θ))² + u²)

Simplifying this equation, we get:

v² = (v sin(θ))² + u²

v² - u² = (v sin(θ))²

sin(θ) = √((v² - u²) / v²)

Now we can plug in the values for v and u to solve for θ:

sin(θ) = √((v² - 9) / v²)

θ = sin^-1(√((v² - 9) / v²))

For example, if the motorboat is maintaining a constant speed of 10 kph, then:

θ = sin^-1(√((10² - 9) / 10²)) = 18.4 degrees

Therefore, the motorboat should maintain a heading of approximately 18.4 degrees to the current of the river to reach the dock on the opposite side while maintaining a constant speed of 10 kph.

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Related Questions

When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 70.8-kg man just before contact with the ground has a speed of 6.33 m/s. (a) In a stiff-legged landing he comes to a halt in 1.99 ms. Find the magnitude of the average net force that acts on him during this time. (b) When he bends his knees, he comes to a halt in 0.147 s. Find the magnitude of the average net force now. (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of the forces, find the magnitude of the force applied by the ground on the man in part (b).

Answers

(a) The man comes to a halt in 1.99 ms = 1.99 × 10⁻³ s, so his average acceleration slowing him from 6.33 m/s to a rest is

a = (6.33 m/s - 0) / (1.99 × 10⁻³ s) ≈ 3180 m/s²

so that the average net force on the man during the landing is

F = (70.8 kg) a ≈ 225,000 N

i.e. with magnitude 225,000 N.

(b) With knees bent, the man has an average acceleration of

a = (6.33 m/s - 0) / (0.147 s) ≈ 43.1 m/s²

and hence an average net force of

F = (70.8 kg) a3050 N

(c) The net force on the man is

F = n - w = m a

where

n = magnitude of the normal force, i.e. the force of the ground pushing up on the man

w = the man's weight, m g ≈ 694 N

m = the man's mass, 70.8 kg

g = mag. of the acceleration due to gravity, 9.80 m/s²

a = the man's acceleration

Using the acceleration in part (b), we have

n = m g + m a = m (g + a)

n = (70.8 kg) (9.80 m/s² + 43.1 m/s²) ≈ 3740 N

What will happen to this current if a magnet is brought near the cord? A. It will exert a force on the voltage. B. The electric current will stop flowing. C. The resistance of the wire will decrease. D. It will exert a force on the electric current.

Answers

Answer:

The correct answer is D)

Explanation:

When an electric magnet is brought near a cord with an electric current, the cord will most likely deflect away from the magnet because electric fields flowing through a wire generates its own magnetic field.

Cheers!

when you run, your feet are pushing you forward. Friction keeps your foot in contact with the ground. According to Newton's third law, you are pushing the ground back. Construct an explanation for why earth is not changing its motion

Answers

Answer:

only you are in motion

Explanation:

it is because the ground causes friction to make you stop but you are the object in motion :)

When you run, your feet are pushing you forward. Friction keeps your foot in contact with the ground. According to Newton's third law, you are pushing the ground back but the earth does not change its position because the mass of the earth is huge as compared to your mass.

What is Newton's third law of motion?

Newton's third law of motion explains that forces exist in pairs. It states that for every action force there exists equal and opposite reaction forces, these pairs of forces are equal in magnitude but opposite in direction.

As given in the problem when you run, your feet are pushing you forward. Friction keeps your foot in contact with the ground. According to Newton's third law, you are pushing the ground back.

Your feet propel you ahead as you run. Your foot remains in contact with the ground thanks to friction. Newton's third law states that even though you are pushing the ground back, the earth does not move since it has a much larger mass than you have.

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A bowling ball and baseball
are both thrown with the
same force. This means that
the bowling ball will have
compared to the
baseball.
A. no acceleration
B. more acceleration
C. the same acceleration
D. less acceleration

Answers

The bowling ball will experience less acceleration then baseball.

What is Newton's second law of motion?

Newton's second law of motion states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. Mathematically, this can be expressed as:

F = ma

where F is the force applied, m is the mass of the object, and a is the resulting acceleration.

Which is it less acceleration?

In the given scenario, both the bowling ball and baseball are thrown with the same force. However, since the bowling ball has a larger mass than the baseball, according to Newton's second law, it will experience less acceleration than the baseball. This means that the correct answer is (D) less acceleration.

Therefore, the acceleration of an object is not only determined by the force applied to it but also by its mass. Objects with greater mass require more force to accelerate at the same rate as objects with lesser mass.

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giving me the points are enough

giving me the points are enough

Answers

Answer:

the product of mass and velocity

....in my syllabus

The magnetic flux through a coil of wire containing two loops changes at a constant rate from-52Wb to +70Wb in 0.77s .
What is the magnitude of the emf induced in the coil?
Express your answer to two significant figures and include the appropriate units.

Answers

The coil's induced emf is measured at a value of 1386T.  According to Faraday's rule, the quantity of, or the amount of induced emf, is equal to the number of coil turns times sub B over t, where sub B, as we've seen, can be represented as B times A.

How much induced emf does the coil experience when the field changes?

The magnetic flux rate of change divided by the coil's turn count yields the induced emf in a coil.

Change of magnetic flux through a coil of wire = B -A

                                                            = 70Wb - 52Wb

                                                             = 18Wb

The magnetic flux in one turn of the coil = ϕ = BA

= 18*77

=1386T

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HELP ASAP THANKS

What happens to the mass of an object when the parts are rearranged?

Answers

Answer:

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

Hope it helps!!!

Answer:

their will be no change in this..

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

Describe specifically why a one-time pad is completely unbreakable. What happens if we try and brute-force
something encrypted with a one-time pad?
Encrypt the message "yellowstone" using the key "wolf" using the vignere cipher.

Answers

A one-time pad is a type of encryption that is completely unbreakable if it is done correctly. It works by generating a random key that is at least as long as the message being encrypted. The key is then combined with the message using an XOR operation.

This produces a ciphertext that cannot be decrypted without the key. The key is used only once and then discarded, hence the name "one-time pad". A one-time pad is completely unbreakable because there is no pattern to the key that can be used to decrypt the message. Each character in the key is generated randomly and independently of the other characters. Therefore, the key is completely unpredictable. Even if an attacker knows the key length and has access to the ciphertext, they cannot use any techniques to decrypt it.

This is because there is no pattern to the ciphertext that can be used to determine the key.The only way to decrypt a one-time pad is to have the key. If an attacker tries to brute-force the encryption by trying all possible keys, they will generate every possible message that is the same length as the original message. This means that the ciphertext is completely meaningless without the key. It is therefore important to keep the key secret and ensure that it is only used once. ,Message: yellow stone Key: wolf To encrypt the given message using the vigenere cipher, we follow the steps below:Step 1: Write the message and key in a tabular form as shown below. To keep the process organized, we use the letters of the key to label the columns.

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how can you take my step sis out the washer machine?

Answers

From what I have seen, you do not take your step sis out of the washing machine, you ask her if she has games on her phone and play mine craft like a god obv.

in csi detectors there is very little light spread. b. crystalline needles block light from the detector. c. x-rays are converted into an electrical signal. d. light spread causes resolution to decrease.

Answers

In CSI detectors, there is very little light spread.

The light spread causes a decrease in resolution. Therefore, it is necessary to prevent light from spreading in the detectors to maintain the desired level of resolution. This is achieved by using a specialized type of detector known as a crystalline needle detector. Crystalline needles are used to block light from the detector. These needles are made from a material that is transparent to x-rays but opaque to visible light. As a result, the needles allow x-rays to pass through them and reach the detector while blocking any visible light that may cause a reduction in resolution. The x-rays that are detected by the detector are converted into an electrical signal. This is done by using a scintillator, which is a material that absorbs x-rays and emits visible light in response. The light emitted by the scintillator is then detected by a photodiode, which converts it into an electrical signal. This signal is then processed by a computer to create an image of the object being scanned. In conclusion, the use of crystalline needle detectors in CSI is critical in ensuring that the desired level of resolution is maintained. By blocking any visible light that may cause a decrease in resolution, these detectors help to produce high-quality images of the object being scanned. The conversion of x-rays into an electrical signal through the use of a scintillator and a photodiode is also important in producing clear and accurate images.

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12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.

Answers

Answer:

i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii)  Find the value of k first: F = 400 + k(15^2)                                              k = 28/9    F = 400 +(28/9)(30^2) = 320

Explanation:

a. The power necessary to maintain the speed of 15ms^-1 can be found using the equation for power, P = Force * velocity, where P is in watts, force is in newtons and velocity is in meters per second. Substituting the values given in the question, we get:

P = (400 + k * 15²) * 15
P = (400 + 11250) * 15
P = 11650 Watts

Therefore, the power necessary to maintain the speed of 15ms^-1 is approximately 11650 Watts.

b. The total resistive force at a speed of 30ms^-1 can be found by substituting 30 for v in the force equation:

F = 400 + k * 30^2

F = 12000 N

Therefore, the total resistive force at a speed of 30ms^-1 is approximately 12000 N.

c. The power required to maintain the speed of 30ms^-1 can be found using the same equation as in part a:

P = (400 + k * 30^2) * 30
P = (1500 + 600000) * 30
P = 625000000 Watts

Therefore, the power required to maintain the speed of 30ms^-1 is approximately 625000000 Watts. This is a very large amount of power and would require a significant amount of energy to maintain.

An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. if s(t) is the distance dropped after t seconds, then the speed is v = s'(t) and the acceleration is a = v'(t). i g is the acceleration due to gravity, then the downward force on the object is mg-cv, where c is positive constant, and newton's second law gives m = dv/dt = mg-cv (a) solve this as a linear equation to show that v=mg/c*(1-e^-ct/m) (b) what is the limiting velocity? (c) find the distance the object has fallen after t seconds.

Answers

The speed and time have a linear relationship. It is independent of mass. The upper limit is a)Mg/c and b)gt.

What exactly does acceleration mean?

A moving material experiences acceleration when its speed and trajectory vary over time. When anything moves quicker or longer, it is said to have been accelerated. Rotation on a circle accelerated despite the same speed since this heading is always changing.

What causes a speedup?

An object's motion is influenced by a net force; the larger the net force, the greater the acceleration. Greater net pressures are needed for more massive things to accelerate at the same rate as less massive things.

Briefing:

a) lim t-->∞  v = mg/c

 mg/c is the limit

2)It is the rate at which the item gets closer as time passes.

b) lim c-->0^(+)   v = gt.

 gt is the limit

3)The speed and time have a linear relationship. It is independent of mass. Since mass has no bearing on acceleration, an item will fall faster the longer it is in free fall.

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the weight of a body of certain mass become zero in space.why?

Answers

Answer:

There is no force in space.

Explanation:

Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero

Answer:

It is because of gravity that your weight of a certain mass becomes zero in space.

Explanation:

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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Andre listed some properties of electromagnetic waves.

1) transfer thermal energy by radiation
2) can transfer energy over great distances
3) need matter to transfer energy through
4) are disturbances that carry energy
Which best describes Andre’s error?
Electromagnetic waves transfer thermal energy by conduction.
Electromagnetic waves can only transfer energy over short distances.
Electromagnetic waves can transfer energy through empty space.
Electromagnetic waves are not considered disturbances.

Answers

Answer: Electromagnetic waves can transfer energy through empty space.

Explanation:

Electromagnetic waves are formed when an electric field comes in contact with a magnetic field. The electric field and magnetic field of an electromagnetic wave are perpendicular to each other. They are also perpendicular to the direction of the wave.

Electromagnetic waves travel with speed of light in vacuum.

Electromagnetic wave does not need a medium to propagate or travel from one place to another. Electromagnetic waves are 'transverse' waves which means that they are measured by their amplitude and wavelength.

Electromagnetic waves do not lose energy when they travel and thus can travel far from its source.

Answer:

C.

Electromagnetic waves can transfer energy through empty space.

Explanation:

cause i dont need one

Andre listed some properties of electromagnetic waves.1) transfer thermal energy by radiation2) can transfer

an electron is released from rest at the negative plate. with what speed will it strike the positive plate?

Answers

Speed will it strike the positive plate 74.736*10^6 m/s

r = distance = 3.7 mm

a) E = electric field between plates =

E =  38*10^-6  / 8.85*10^-12

   = 4.293*10^6 N/C

from E = -dV / dr

dV = potential difference .  take magnitude:

dV = E*dr

   = 4.293*106*3.7*10-3

   = 15.887 *103V

b) from F ( force) = q*E

also F = ma

so                 ma = qE

a( acceleration) = qE/ m

q = charge on electron, m= mass

a  = 1.6*10^-19*4.293*10^6 / 9.1*10^-31

a = 7.548*1017 m/s2

u = initial velocity = 0 m/s ( at rest)

V = final velocity= ?,           S = distance = r = 3.7 mm

v^2 = u^2+2as

putting values we get

Speed will it strike the positive plate 74.736*10^6 m/s

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the building at a speed of 1.6 m/s, which is taken as the given dx/dt, how fast is the length of his shadow on the building decreasing when he is 4 m from the building

Answers

The speed of man when the length of his shadow on the building decreases when he is 4 m from the building will be 0.6 m/sec.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

Distance from spot shines =  12 m away

Height of man,h=2 m tall

Speed of man +1.6 m/s,

Distance from the building = 4 m

Let the height of shadow= y,

CD=x

Height of man=2 m

Speed of man:

\(\rm \frac{dx}{dt} = 1.6 \ m/sec\)

As the triangle ABD and ECD are similar. The property of the similarity is found as;

\(\rm \frac{y}{2} = \frac{12}{x} \\\\ xy = 24\)

Differentiate the above question with respect to x;

\(\rm x \frac{dy}{dt}+y\frac{dx}{dt}=0 \\\\ x\frac{dy}{dt}= -y\frac{dx}{dt}\)

From the given conditions the man is 4 m from  the building the value of the remaining distance x is;

x=12-4

x=8 m

Speed of man:

\(\rm \frac{dx}{dt} = 1.6 \ m/sec\)

On putting all the values we get;

\(\rm \frac{y}{2} = \frac{12}{x} \\\\ xy = 24 \\\\ 8y = 24 \\\\ y= 3\)

The speed of man when the  length of his shadow on the building decreases when he is 4 m from the building;

\(\rm \frac{dy}{dt} = - \frac{3}{8} \times 1.6 \ m/sec \\\\\ \frac{dy}{dt} = 0.6 \ m/sec.\)

Hence the value of the speed for the given conditions willl be 0.6 m/sec.

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1. Do the two ways of presenting information include multimodal elements? Why? Why not?

2. Which semiotic system are present in the multimodal text presented

Please answer it ill make brainliest​

Answers

A multimodal text is composed of multiple modes of communication. For example, written words, images, or spoken words, like in a movie or a presentation on a computer. A multimodal presentation includes at least one mode other than reading and writing, such as listening, speaking, viewing, or performance.

Multimodal texts consist of picture books, textbooks, compelling novels, comics, and placard. These texts convey meaning to the reader through various combinations of visual (still image) description and spatial modes. Multimodal does not necessarily imply the use of technology. Multimodal text can be paper, live, or digital. Paper-based multimodal texts include picture books, textbooks, graphic novels, comics, and posters. 

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light colored rocks that are high in sio2 are typically called

Answers

Rocks with a silica content of around 70% and composed primarily of quartz and feldspars are at the light-colored extreme. Granitic rock refers to these rocks.

What is SiO2 used for?

Amorphous silicon dioxide, or SiO2, is employed in microsystems as a structural or sacrificial layer in many micro - milling techniques, as a dielectric in capacitors and transistors, as an insulator to isolate various electronic parts, and in other applications.

Why SiO2 is used in cement?

In order to alter the rheological behaviour of cement systems, increase the reactivity of supplemental cementitious materials, and increase the strength and durability, SiO2 nanoparticles were utilised.

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Match the description of an object's motion with the position-time graph that represents at A. slowing down B. moving with constant speed C. not moving D. speeding up​

Answers

The descriptions of object's motion with the position-time graph that represents at:

D. speeding up - Graph 1

C. not moving - Graph 2

B. moving with constant speed - Graph 2

A. slowing down - Graph 3

What is motion?

Motion is the conceptual notion in which an object moves from its position with respect to time. Motion is acceptable to be described in terms of displacement, distance, velocity, acceleration, speed.

Furthermore, Motion is a change in an object's position over time. It is the result of forces acting upon an object, and can be described in terms of distance, speed, and direction.

Therefore, it is a change of position or orientation of a body with the change of time. looking at the attached graph, it can then be concluded that the correct answers are as given above

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Match the description of an object's motion with the position-time graph that represents at A. slowing

Monitoring your grades will help you pinpoint your academic weaknesses. true or false.

Answers

Answer:

A:True It is good too monitor your grades because you can keep track of your grades and pinpoint your weaknesses.

Explanation:

Answer:

True, monitoring your grades can help you understand your weaknesses as a student.

You throw a ball upwards at 6.00 m/s from the top of a building. If the ball hits the ground 4.00 seconds after you throw the ball, what is the height of the building?​

Answers

The height of the building if a ball is thrown upwards at 6m/s from the top of the building is 102.48m.

How to calculate height?

The height of the building in this question can be calculated using one of the equations of motion as follows:

s = ut + ½at²

Where;

s = distance/height u = velocityt = time

According to this question, a ball is thrown upwards at 6.00 m/s from the top of a building. If the ball hits the ground 4.00 seconds after you throw the ball, the height can be calculated as follows:

s = 6 × 4 + ½ × 9.81 × 4²

s = 24 + 78.48

s = 102.48m

Therefore, 102.48m is the height of the building.

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write the vector equations for e⃗ (z,t) and b⃗ (z,t) .

Answers

The vector equations for the electric field E⃗ (z,t) and magnetic field B⃗ (z,t) can be written as follows:

E⃗ (z,t) = E0 sin(kz - ωt) ẑ

B⃗ (z,t) = B0 sin(kz - ωt) ỵ

The vector equations for the electric field E⃗ (z,t) and magnetic field B⃗ (z,t) can be written as follows:

E⃗ (z,t) = E0 sin(kz - ωt) ẑ

B⃗ (z,t) = B0 sin(kz - ωt) ỵ

Where E0 and B0 are the maximum amplitudes of the electric and magnetic fields, respectively, k is the wave number, ω is the angular frequency, and ẑ and ỵ are unit vectors in the z and y directions, respectively.

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an object of mass 2.75 kg is moving with a velocity what is the angular momentum of the mass relative to the origin when it is at the location (1.50, -1.50. 1.50) m? (Express your answer in vector form.)

Answers

The angular momentum of the object relative to the origin is \((4.13 kgm^{2/s})i - (4.13 kgm^{2/s})j\)

The angular momentum of an object relative to the origin is given by the cross product of its position vector and its momentum vector. In this problem, we are given the mass of the object and its velocity, but we need to find its momentum and position vectors.The momentum of the object is given by p = mv, where m is the mass and v is the velocity. Since the mass is 2.75 kg and the velocity is not given, we cannot calculate the momentum directly. However, we know that the momentum is in the same direction as the velocity vector.To find the position vector of the object, we use the given coordinates (1.50, -1.50, 1.50) m. We represent this as a vector r = (1.50 m)i - (1.50 m)j + (1.50 m)k.Now, we can calculate the angular momentum L = r x p, where x represents the cross product. Since the momentum is in the same direction as the velocity, we can write p = mv = (2.75 kg)v. Taking the cross product of r and p, we get:\(L = r x p = [(1.50 m)i - (1.50 m)j + (1.50 m)k] * (2.75 kg)v= (4.13 kgm^{2/s})i - (4.13 kgm^{2/s})j\)Therefore, the angular momentum of the object relative to the origin is \((4.13 kgm^{2/s})i - (4.13 kgm^{2/s})j.\)

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What is the work done in stretching a spring by a distance of 0.5 [m] if the restoring force is 48 [n] ?

Answers

The work done in stretching springs is 12 joules.

We need to know about the work on stretching springs to solve this problem. Work can be determined by how much potential energy on springs changes

W = ΔPE

W = 1/2 . k . (Δx)²

where W is work, PE is potential energy, k is spring constant and x is position.

Work also depends on the restoring force which has formula

F =  k . Δx

Hence, by substituting force we can use this formula

W = 1/2 . F . Δx

From the question above, we know that:

Δx = 0.5 m

F = 48 N

By substituting the parameter, we get:

W = 1/2 . F . Δx

W = 1/2 . 48 . 0.5

W = 12 Joule

Hence, the work done in stretching springs is 12 joules.

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Two pulses are moving along a string. One pulse is moving to the right and the second is moving to the left. Both pulses reach point P at the same instant.

Answers

Since Two pulses are moving along a string, Mu response is Yes, there be an instance in which the wave interference is at the same level as point X because there will be an overlap  in the way of the slope of the waves.

What happens when 2 pulses meet?

When two pulses collide to produce a bigger pulse, this is called constructive interference. The two beginning pulses' amplitudes are added to create the size of the final pulse.

Note also that if two waves collide while moving across the same medium, wave interference is the result. The medium assumes a shape as a result of the net impact of the two distinct waves on the medium's particles due to wave interference.

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Two pulses are moving along a string. One pulse is moving to the right and the second is moving to the left. Both pulses reach point X at the same instant.Will there be an instance in which the wave interference is at the same level as point X?

Two pulses are moving along a string. One pulse is moving to the right and the second is moving to the
Two pulses are moving along a string. One pulse is moving to the right and the second is moving to the

Henry throws a ball with a velocity of 30 m/s, how much time will it take the ball to reach a height of 45 m?

Answers

Answer:

t = 1.24 seconds

Explanation:

Given that,

Velocity of the ball, u = 30 m/s

Height, h = 45 m

We need to find how much time will it take the ball to reach a height of 45 m. Let the time be t.

Using the second equation of motion to find it.

\(h=ut+\dfrac{1}{2}at^2\\\\45=30t+\dfrac{1}{2}\times 9.8\times t^2\\\\45=30t+4.9t^2\\\\30t+4.9t^2-45=0\\\\t=1.24\ s\ \text{and}\ -7.36\ s\)

Neglecting negative value,

The ball will reach to a height of 45 m in 1.24 seconds.

current is a ______ quantity.

scalar or vector ​

Answers

Answer:

vector quantity............

Explanation:

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Answer:

scalar

Explanation:

what is the magnitude of the gravitational force of attraction between two 0.425 kilogram soccer baalls

Answers

Two 0.425 kilogram soccer balls are attracted to one another by a gravitational force with an intensity of  \(F =4.82*10^{-5}\).

We must apply the equation shown below to calculate the gravitational force (F), All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional to the masses of the two objects and inversely proportional to the square of their distance from one another.

Therefore, the only unit left is meters kilograms per second squared, which is equal to newtons. Therefore, the gravitational force between the Earth and the Moon is 1.98 x 10^(-20) newtons.

Here magnitude in terms of force:

\(F=Gm_{1} m_{2}/r^{2} \\F = (6.67*10^{-11} * 0.425* 0.425)/0.5^{2} \\F =4.82*10^{-5}\)

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An organ pipe closed at one end and open at the other has a length of 1.8 m.

An organ pipe closed at one end and open at the other has a length of 1.8 m.

Answers

Given,

The length of the pipe, L=1.8 m

Speed of the sound, v=340 m/s

To form the standing wave with the longest wavelength, the number of nodes of the thus formed standing wave should be equal to 1.

The wavelength of the standing wave created in a closed-end pipe is given by,

\(\lambda=\frac{4}{1}L\)

On substituting the known values,

\(\begin{gathered} \lambda=\frac{4}{1}\times1.8 \\ =7.2\text{ m} \end{gathered}\)

Thus the longest possible wavelength is 7.2 m

The frequency of this standing wave is given by,

\(f=\frac{v}{\lambda}\)

On substituting the known values,

\(\begin{gathered} f=\frac{340}{7.2} \\ =47.22\text{ Hz} \end{gathered}\)

Thus the frequency of this standing wave is 47.22 Hz.

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