A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 10.8 m/s . A 1.0-kg stone is thrown from the basket with an initial velocity of 14.3 m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in the basket. That person sees the stone hit the ground 18.8 s after it was thrown. Assume that the balloon continues its downward descent with the same constant speed of 10.8 m/s.

(a) How high was the balloon when the rock was thrown out?
(b) How high is the balloon when the rock hits the ground?
(c) At the instant the rock hits the ground, how far is it from the basket?

To find the distance between two charges, we can use Coulomb's law, which states that the force between two charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

The formula for Coulomb's law is:

F = (k * |q1| * |q2|) / r^2

where:

F is the force between the charges,

k is the electrostatic constant (k = 8.99 × 10^9 N m^2/C^2),

|q1| and |q2| are the magnitudes of the charges, and

r is the distance between the charges.

Given:

|q1| = 2 × 10^-7 C

|q2| = 4.5 × 10^-7 C

F = 0.1 N

k = 8.99 × 10^9 N m^2/C^2

We can rearrange the equation to solve for r:

r^2 = (k * |q1| * |q2|) / F

Plugging in the values:

r^2 = (8.99 × 10^9 N m^2/C^2 * 2 × 10^-7 C * 4.5 × 10^-7 C) / 0.1 N

r^2 = (8.99 × 2 × 4.5) * (10^9 * 10^-7 * 10^-7) / 0.1

r^2 = 80.91 * (10^9 * 10^-7 * 10^-7) / 0.1

r^2 = 80.91 * 10^(-7 + 9 - 1)

r^2 = 80.91 * 10^1

r^2 = 809.1

Taking the square root of both sides:

r = √809.1

r ≈ 28.46

Therefore, the distance between the two charges is approximately 28.46 units.

Complete Question

A car is moving at 56 miles per hour. The kinetic energy of that car is 5 × 105 J. How much energy does the same car have when it moves at 90 miles per hour? Answer in units of J

Answer:

 \(K.E_2=640000J\)

Explanation:

From the question we are told that:

Initial Velocity \(v_1=56 mil/h=>25.0342m/s\)

 \(K.E_1=5*10^5J\)

Final Velocity \(V_2=90mil/h=>40.2336m/s\)

Generally the equation for  Kinetic Energy  is mathematically given by

 \(K.E=0.5mv^2\)

Therefore

 \(K.E_1=0.5mv_1^2\)  

 \(5*10^5J=m(25.0342)^2\)

 \(m=797.82kg\)

Therefore The Final K.E_2 is

 \(K.E_2=0.5mv_2^2\)

 \(K.E_2=0.5*(797.82kg)(40.2336m/s)^2\)

 \(K.E_2=640000J\)

The value of Current I​ is  I =1320.".

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.

V = IR,

  =  R=ρ A/1

​l= RA/ρ

V= IR, I= R/V 5.5

R= ρ l/A, = 5.5* 10 3 20/2 * 24

 I =1320.

The passage of electric charge across a surface at a rate measured in amperes, or amps, is the SI unit of electric current.

Therefore, The value of Current I​ is  I =1320."

To learn more about Current, refer to the link:

https://brainly.com/question/13076734

#SPJ9

The cannon will completely stop when it collides with the barrier.

To calculate the speed at which the cannon collides with the barrier, we can follow these step-by-step calculations:

Determine the initial momentum of the system.

Since the cannon is initially stationary, the initial momentum is zero.

Apply the conservation of linear momentum.

According to the principle of conservation of linear momentum, the initial momentum of the system (zero) is equal to the final momentum of the system. The final momentum is the momentum of the cannon after firing.

Calculate the final momentum of the system.

Let's assume the mass of the cannon is represented by 'm' and the final velocity of the cannon is represented by 'v'. The final momentum of the system is given by: final momentum = m × v.

Set up the equation.

Since the initial momentum is zero, we have: 0 = m × v.

Solve for the final velocity of the cannon.

Dividing both sides of the equation by 'm', we get: v = 0.

Interpret the result.

The calculation shows that the final velocity of the cannon is zero. This means that the cannon comes to a complete stop when it collides with the barrier.

Know more about momentum here:

https://brainly.com/question/18798405

#SPJ8

Explanation:

Given that,

The frequency of oscillation, f = 0.5 Hz

(a) Let the length of the pendulum string is l. So,

\(T=2\pi \sqrt{\dfrac{l}{g}}\)

T is time period, T = 1/f

So,

\(l=\dfrac{(\dfrac{1}{f})^2g}{4\pi ^2}\\\\l=\dfrac{(\dfrac{1}{0.5})^2\times 9.8}{4\times 3.14 ^2}\\\\l=0.993\ m\)

(b) When the elevator starts to accelerate upwards, new acceleration is a+g.  If accelerating upward, the value of g has increased, because of inertia. So it will feel heavier and the period will decrease.

Richard Feynman was the scientist who first suggested partons to study high-energy hadron collisions before quarks were suggested.

The elementary particle known as the quark is a fundamental component of matter. Hadrons, which are composite particles made of these quarks and neutrons and protons, the building blocks of atomic nuclei, are the most stable of these hadrons.

A strong contact between two or more quarks holds together hadrons, which are composite subatomic particles. Simply put, hadrons are like molecules that the electric force holds together. Protons and neutrons combine to form hadrons, which are particles.

To learn more about quarks visit:

brainly.com/question/12535960

#SPJ4

We can see from the table that we have in the question that  Wave W has a faster speed.

Wavelength and frequency are two fundamental properties of waves, including electromagnetic waves and sound waves. The relationship between wavelength and frequency can be described by the following equation:

c = λν

where c is the speed of light (or speed of sound), λ is the wavelength, and ν is the frequency.

According to this equation, the wavelength and frequency are inversely proportional to each other.

Learn more about wavelength:https://brainly.com/question/31143857

#SPJ1

Answer:

Materials? Substances? Matter?

Explanation:

Answer:    

2 : A large storm

Explanation: I hope this helps

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

Answer:

\(20m/s^2\)

Explanation:

Solution is attached. I apologize if it is a little messy.

Initially rolling inside a horizontal circle five meters above the ground at a speed of two meters per second, the ball breaks the string as it approaches true North. Though it is falling, it is still heading in the direction

The lower string, however, is the one that snaps if it is forcefully yanked. The prevailing theory holds that the mass's inertia prevents it from moving and, as a result, from pulling on the top string.

If both strings are equally strong, the top string will break sooner. However, a change in tension from the lower string takes a moment to transfer because of the inertia of a hanging object.

To know more about strings break visit:

https://brainly.com/question/13088641

#SPJ4

The mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

When anything is moving, its velocity tells us how rapidly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

The mass of the cannonball, m = 5 kg,

The velocity of the cannon, v = 550 m/s,

The recoil speed of the cannon, vₐ = 1.3 m / s,

Then by using momentum conservation calculate the mass of the cannon,

\(m \times v = m_{a} \times v_{a}\)

Here mₐ is the mass of the cannon,

Substitute the values,

5 × 550 = mₐ × 1.3

mₐ = 2115.4 kg

Therefore, the mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

To know more about velocity:

https://brainly.com/question/19979064

#SPJ1

\(\tt w/d=\dfrac{v.t}{2}\)

w = width/distance

v = velocity

t = time

input the value:

\(\tt w=\dfrac{340\times 1}{2}=170~m\)

Because we are converting a current source that is parallel to a resistor to a voltage source that is in series with it, the resistance is connected in series with the voltage source.

A circuit is a fully enclosed circle through which electricity flows. A current source, conductors, and a simple circuit are all that are needed. Any set path that electricity follows can be considered a circuit in a broad sense.

A power source, two wires that can transmit electricity, and other components make up an electrical circuit. Both cables have one end linked to a cell terminal and one of their free ends to a light bulb.

To know more about Circuit visit:

https://brainly.com/question/27206933

#SPJ4

1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

For more such questions on vector

https://brainly.com/question/30895553

#SPJ8

Answer:

light is captured through ozone layer.

Explanation:

as its the ozone layer that protects earth from the harmful radiation of the earth and store only the light and energy needed.

Fun Fact - ozone layer can provide light for about 7 minutes so if sun disappears, we won't even realise it for 7 minute straight.

Answer:

Doppler Radar gathers information about precipitation by sending out pulses of ___Radio wave___ energy

Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

The reflection law allows us to find that the correct statement for  where a ray is located in a concave mirror is:

Geometric optics studies the geometric properties of light rays by surfaces. It has two laws that describe it:

                     \(\theta_i = \theta_r\)

Now we can analyze the expressions.

a) False. This only happens if the object is at infinity

b) True. This is the law of reflection that the angles are equal and it always complies

c) False the optical axis is a perpedicular line to the mirror, therefore the ray must be parallel to the mirror and is not reflected.

In conclusion using the reflection law we can find which statement is correct

Learn more here:  brainly.com/question/15655610

Answer:

The statement of the student is correct.

Since B attained a higher velocity in a short amount of time, that is it accelerated faster(having a larger slope).

Slope = dy/dx

That is, Velocity

Time

which is acceleration.

That's my guess.

Hope it's right.

The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

Learn more about space exploration here: https://brainly.com/question/27325845

#SPJ1

Answer:

(a) ω = 12.57 rad/s

(b) a = 189.5 m/s²

(c) T = 9.47 N

Explanation:

(a)

The speed of rotation is given by the formula:

ω = θ/t

where,

ω = speed of rotation = ?

θ = angular displacement = (1 rotation)(2π rad/1 rotation) = 2π rad

t = time taken = 0.5 s

Therefore,

ω = 2π rad/0.5 s

ω = 12.57 rad/s

(b)

The centripetal acceleration of the object is given by the formula:

a = v²/r

where,

a = Centripetal Acceleration = ?

v = linear speed of object = rω

r = length of rope = 1.2 m

Therefore,

a = (rω)²/r

a = rω²

a = (1.2 m)(12.57 rad/s)²

a = 189.5 m/s²

(c)

The tension required to maintain the motion is equal to the centripetal force:

Tension = Centripetal Force

T = ma

where,

m = mass of object = 50 g = 0.05 kg

Therefore,

T = (0.05 kg)(189.5 m/s²)

T = 9.47 N

The relative permittivity of the insulator is εr = 1 / 2 = 0.5.

The relative permittivity of the insulator is calculated by applying the equation for the Coulomb force.

F = (kq²) / r²

where;

The initial force equation becomes;

3 = (kq²) / r²

Let's denote the relative permittivity as εr.

The new force equation becomes;

1.5 = (kq² x εr) / r²

Divide the two force equations;

(3 / 1.5) = (kq²) / (kq² x εr)

2 = 1 / εr

εr = 1/2 = 0.5

Learn more about permittivity here: https://brainly.com/question/29288724

#SPJ1

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

Heinz should steal the medicine, because saving a human life is a more fundamental value than the property rights of another person.

If this helps you please mark me as the brainliest!!

Answer:

a group of organs working together to perform a function.

Explanation:

Answer:GAS

Explanation:

Answer:

energy is absorbed during the process of the ice melting.

Answer:

yes u are correct

Explanation: