A seismic wave has a frequency of 452 Hz and a wavelength of 38 meters. What is the velocity of the wave in the nearest meter per second?

Answer:

the particle is at coordinates (18,15/2)

Explanation:

To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:

a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j

So the acceleration of the particle is a = 2i + 3j m/s².

To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:

r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j

We can use the kinematic equations of motion to solve this problem.

Let the acceleration of the particle be a = axî + ayj.

(a) Using the equation of motion v = u + at, where u is the initial velocity:

f = v = u + at

Substituting the given values, we get:

(91+7j) = (3î-2j) + a(3î + 3j)

Equating the real and imaginary parts, we get:

91 = 3a + 3a (coefficients of î are equated)

7 = -2a + 3a (coefficients of j are equated)

Solving these equations simultaneously, we get:

a = î(23/6) + j(1/2)

So the acceleration of the particle is a = (23/6)î + (1/2)j.

(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:

At t = 3s, the displacement of the particle is:

s = ut + (1/2)at^2

Substituting the given values, we get:

s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2

Simplifying, we get:

s = 9î + (17/2)j

So the coordinates of the particle at t=3s are (9, 17/2).

Answer:

The bus is moving at a constant speed.

Explanation:

We have the following facts from the question;

- The bus crosses a city block every 10 seconds.

- all the city blocks are the same length

Since all the city block are the same length, let's say the distance is d.

Since it crosses the city block every 10 seconds, we know that;

Speed = distance/time

Thus, Speed = d/10

Thus,it is moving at this speed of d/10 all through.

Therefore we can conclude that the bus is moving at a constant speed.

This same distance from the Earth's core to a location where the gravitational acceleration is g/16 is roughly 20,000 miles (32,000 kilometers).

The pace at which speed changes is known as acceleration. So because direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.

According to the formula a = v/t, kinetic energy (a) is the product of the change in momentum (v) and the shift in time (t).

To know more about acceleration visit:

https://brainly.com/question/12550364

#SPJ4

The voltage in the circuit is 338 Volts.

Ohm's law states that the voltage (V) in a circuit is equal to the current (I) multiplied by the resistance (R): V = I x R.

1. Identify the given values: In this problem, we are given the current (I) and resistance (R) in the circuit.

2. Recall Ohm's law:  V = I x R.

3. Substitute the given values: We can substitute the given values of current (I = 13A) and resistance (R = 26 Ohm) into Ohm's law to find the voltage (V).

4. Calculate the voltage: Using the equation V = I x R and substituting the values of current and resistance, we can calculate the voltage as V = 13A x 26 Ohm = 338 Volts.

Therefore,  The voltage in the circuit is 338 Volts.

To learn more about the electric field click:

brainly.com/question/8971780

#SPJ1

Answer:

a

=

F

M

a

=

137

30.8

x

=

1

2

a

t

2

x

=

1

2

⋅

137

30.8

⋅

13

2

x

=

375.86

Explanation: Hope this helps ;)

Answer:

Explanation:

The gravitational force on the ball when it is on the new planet is double the force on the ball when it is on Earth. The gravitational force on the ball when it is on the new planet is half the force on the ball when it is on Earth.

The correct statement which best describes a magnetic object from among the options above is:

They have many spinning electrons oriented in the same direction that create magnetic fields.

The correct answer choice is option a.

When magnetic material spins its electrons in the same axis in the magnetic field, the force of current which passes through the same direction results in the attraction which exists between the magnetic object and magnetic substance.

So therefore, we can now confirm that when we consider the orientation of electrons of magnetic material in a direction similar to field, it causes attraction.

Read more on magnetic field:

https://brainly.com/question/7802337

#SPJ1

The total distance covered by the car is 300 miles.

The total displacement covered by the car is zero.

The average speed of the car is 17.88 m/s.

The average velocity of the car is also zero.

Distance between the points A and B, d = 150 miles

Time taken by the car to travel from A to B, t₁ = 3 hours

Time taken by the car to travel from B to A, t₂ = 5 hours

a) Given that the car travelled from A to B and then back to A.

Therefore, the total distance covered by the car is,

Distance = 2 x d

Distance = 2 x 150

Distance = 300 miles

Since the car is travelling from A to B and then returning back to the initial point A, the total displacement covered by the car is zero.

b) The speed with which the car travelled from A to B is,

v₁ = d/t₁

v₁ = 150/3

v₁ = 50 miles/hr

v₁ = 22.35 m/s

The speed with which the car travelled from B to A is,

v₂ = d/t₂

v₂ = 150/5

v₂ = 30 miles/hr

v₂ = 13.41 m/s

Therefore, the average speed of the car is,

v = (v₁ + v₂)/2

v = (22.35 + 13.41)/2

v = 17.88 m/s

As, the total displacement of the car is zero, the average velocity of the car is also zero.

To learn more about average speed, click:

https://brainly.com/question/10449029

#SPJ1

A. Wearing appropriate running shoes for your environment is an example of being proactive in your workouts.

There are several ways to become proactive in workouts:

(1) Set specific goals: Setting specific and measurable fitness goals can help you stay focused and motivated. It can also help you track your progress and make necessary adjustments to your workout routine.

(2) Plan your workouts: Planning your workouts ahead of time can help you stay organized and committed to your fitness routine. This can include scheduling your workouts in advance and creating a workout plan that targets your specific goals.

(3) Track your progress: Tracking your progress can help you stay motivated and see how far you've come. This can include keeping a workout journal, taking progress photos, or using a fitness tracker.

(4) Stay consistent: Consistency is key when it comes to achieving fitness goals. Set a regular workout schedule and stick to it as much as possible.

(5) Listen to your body: Pay attention to how your body feels during and after workouts. If something doesn't feel right, make adjustments or seek guidance from a fitness professional.

Learn more about workouts here:

https://brainly.com/question/31286237

#SPJ1

Answer:

x-component of velocity: 7.5 m/s

y-component of velocity: 13 m/s

Explanation:

This problem is pure trigonometry. Assuming you know trig, there are only a couple of steps to solving this problem. First, split the velocity into components; recall that any vector not directed along an axis has x and y components. Then, remember that sinΘ = opposite/hypotenuse. Applying this to your scenario, you get sin60° = vy/15. Multiplying this out gives you vy=15sin60. Put this into a calculator (make sure it's set to degree mode because the angle in this problem is in degrees) and you should get 12.99, which you can round up to 13 m/s. This is the velocity in the y-direction.

The procedure to find the x-velocity is very similar, but instead of using sine, we will use the cosine of theta. Recall that cosΘ=adjacent/hypotenuse. Once again plugging this scenario's numbers into that, you end up with cos60 = vₓ/15. Multiplying this out gives you vₓ = 15cos60. Once again, plug this into your calculator. 7.5 m/s should be your answer. This is the velocity in the x-direction.

By the way, a quick way to find the components of a vector, whether it's velocity, force, or whatever else, is to use these functions. Generally, if the vector points somewhere that's not along an axis, you can use this rule. The x-component of the vector is equal to hypotenuse*cosΘ and the y-component of the vector is equal to hypotenuse*sinΘ.

Answer:

Blank 1 (asteroids)

Blank 2 (Ceres)

Explanation:

Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.

Asteroids are stony elements that circle the Sun. Although asteroids circle the Sun in the same way as planets, they are considerably smaller.]

A dwarf planet located between Mars and Jupiter in the asteroid belt. Ceres was the first asteroid discovered, it was originally classed as a planet,

Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.

The correct option from the drop-down menu is asteroids and ceres.

To learn more about the asteroids refer to the link;

https://brainly.com/question/19161842

Answer:

The third image

Explanation:

The one with the thumb pointing to the right

Answer:

3, correct on Edge 2020

Answer:

The frequency of a string wave is 922.5 Hz

Explanation:

Given;

length of the string, L = 0.65 m

initial speed of the string wave at n = 5, v₁ = 320 m/s

initial frequency of the wave speed, f₁ = 1230 Hz

final speed of the string wave at n = 5, v₂ = 240.0 m/s

final  frequency of the wave speed, f₂ = ?

speed of wave is related to frequency of wave and wavelength by the following equation;

V = Fλ

If the wavelength is constant at n = 5, then

\(\lambda = \frac{V_1}{f_1} = \frac{V_2}{f_2}\\\\f_2 = \frac{f_1V_2}{V_1} \\\\f_2 =\frac{1230*240}{320} \\\\f_2 = 922.5 \ Hz\)

Therefore, the frequency of a string wave, if speed of 240.0 m/s is used is 922.5 Hz

The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

Learn more about velocity here:

https://brainly.com/question/18084516

#SPJ1

The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

Learn More about potential energy here

https://brainly.com/question/14427111

#SPJ1

The velocity of the particle after 5.5 seconds is 11.25 m/s.

To find the velocity of the particle after 5.5 seconds, we can use the equation of motion:

v = u + at

Where:

v = final velocity

u = initial velocity

a = acceleration

t = time

Given:

u = 8.5 m/s (initial velocity)

a = F/m = 125 N / 250 N = 0.5 m/\(s^2\) (acceleration)

t = 5.5 sec (time)

substitute the values:

v = 8.5 m/s + (0.5 m/\(s^2\))(5.5 sec)

v = 8.5 m/s + 2.75 m/s

v = 11.25 m/s

Therefore, the velocity of the particle after 5.5 seconds is 11.25 m/s.

know more about velocity here:

https://brainly.com/question/80295

#SPJ8

Since the acceleration is constant this is a uniform accelerated motion.

We know that the acceleration is 3 meters per second per second and that the initial velocity is zero (since it starts at rest).

To find the velocity after 12 seconds we use the formula:

plugging the values given ans solvin for the final velocity we have:

Therefore after 12 seconds the ball has a velocity of 36 m/s.

Now, to find the distance travelled we use the formula:

Plugging the values we know we have that:

Therefore the ball travelled 216 meters.

Answer:

Its true

Explanation:

Answer:

it gets colder

Explanation:

because if you put anything on a table top it will become colder

(a) The additional commonly available equipment you would need is stop watch.

(b) The measurement obtained with stop watch is period of oscillation. The period of oscillation can be used to determine angular speed and the angular speed is used to determine the spring constant.

(c) The frequency of oscillation of the mass is 0.8 Hz.

The value of spring constant can be determined experimentally with a mass and stop watch to record the period of oscillation.

k = ω²m

where;

With a known mass attached to the spring, the period of the oscillation can be determined using stop watch. The period of the oscillation can be used to determine the frequency and angular speed of the oscillation. The angular speed can be used to determine the spring constant, K.

ω² = K/m

ω² = 500/20

ω² = 25

ω = √25

ω = 5 rad/s

ω = 2πf

f = ω/2π

f = 5/2π

f = 0.8 Hz

Learn more about spring constant here: https://brainly.com/question/1968517

Answer:

Gravity

Explanation:

Answer: B.

Explanation:

An isotope is a variation of the same element with a different number of neutrons in its nucleus. The only thing that changes is the top component, which is the total number of protons and neutrons. The bottom component remains the same (the number of protons).

The formula you mentioned is known as the dot product formula or the scalar product formula. It is used to find the angle between two vectors u and v.

Let's start by defining the vectors u and v. Suppose we have two vectors u and v in a two-dimensional space.

u = (u1, u2)

v = (v1, v2)

The dot product of these vectors is defined as:

u . v = |u| |v| cos(β)

where |u| and |v| are the magnitudes of the vectors u and v respectively, and β is the angle between the vectors u and v.

Now, let's derive this formula. The dot product of two vectors u and v is given by:

u . v = (u1 × v1) + (u2 × v2)

The magnitude of a vector is given by:

|u| = sqrt(u1² + u2²)

|v| = sqrt(v1² + v2²)

We can use the dot product and magnitude equations to obtain:

cos(β) = (u . v) / (|u| × |v|)

Multiplying both sides by |u| × |v| gives us:

|u| × |v| × cos(β) = u . v

Therefore, we have derived the dot product formula:

u . v = |u| × |v| × cos(β)

This formula can be used to find the angle between two vectors u and v in any two-dimensional or three-dimensional space.

Learn more about dot product formula:

https://brainly.com/question/29785115

#SPJ1

The complete question is-

Write the proof of the formula

u.v=|u||v|cosβ

Answer:

2.744 difference

Explanation:

Use Pe=mgh

So when the soup is at a height of 1.2m, its Pe is (.35kg)(9.8m/\(s^{2}\))(1.2m)=4.116

when the soup is at a height of .40m, its Pe is (.35kg)(9.8m/\(s^{2}\))(.40m)=1.372

So youre looking at a 2.744 difference in pe

The mass of Car B is -6000 kg.

To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.

Therefore, we can write the equation for the conservation of momentum as:

(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision

Let's substitute the given values into the equation:

(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)

Simplifying the equation:

20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)

Dividing both sides by -5 m/s:

-4000 kg = 2000 kg + mass of Car B

Subtracting 2000 kg from both sides:

mass of Car B = -4000 kg - 2000 kg

mass of Car B = -6000 kg

know more about momentum here:

https://brainly.com/question/30487676

#SPJ8

Answer:

The formula used to convert from the metric system outside of it. So like converting kilograms into pounds. The Formula is as follows:

# unit x (#unit/#unit) = # unit

   ^                  ^                 ^

   I                   I                  I

given        Conversion  Answer

                     factor

*Note: Italic "units" are the same. Bold "units" are the same.

Example:

One thousand eighty kilometers is how many miles? Set it up dimensionally.

1080 km (1 mi/1.61 km) = 670.81 mi

*This is because 1080 x 1 = 1080, but then you divide 1080 by 1.61

Answer:

y becomes doubled.

Explanation:

If;

       y  = \(\frac{k}{x}\)  

what is the state of y when x is halved;

  the given expression is an inverse relationship. When y increases, x is supposed to decrease and vice versa.

 if x is halved; x  = \(\frac{x}{2}\)

           \(\frac{k}{\frac{x}{2} }\)   = \(\frac{2k}{x}\)  

Now compare :

      \(\frac{k}{x}\)  :  \(\frac{2k}{x}\)

we see that y becomes doubled

Answer: B

Explanation:

Like charges repel so both positive charges will repel each other

Opposite charges will attract so the negative and positive charges will be attracted to each other

Answer:

the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.

Explanation:

imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line