Janisha rolls a 6.5 kg bowling ball down the alley for the league championship. One pin is still standing, and Janisha hits it head on with a velocity of 13 m/s. The 2 kg bowling pin then moves with a velocity of 13.5 m/s. What is the new velocity of the bowling ball?

The magnitude of the change in momentum of the tennis ball when it hits the wall and bounces back along the same horizontal direction with the same initial speed is 2 times the momentum of the ball before the collision.

The momentum of an object is defined as the product of its mass (m) and velocity (v). Before the collision, the tennis ball has a momentum of p₁ = m × v. When the ball hits the wall, it experiences a change in momentum due to the collision. After the collision, when the ball bounces back with the same initial speed, its momentum is in the opposite direction and its magnitude remains the same.

Since momentum is a vector quantity, the change in momentum (Δp) is given by the final momentum (p₂) minus the initial momentum (p₁). Therefore, Δp = p₂ - p₁.

Considering that the final momentum is in the opposite direction, we have p₂ = -p₁. Substituting this into the equation, we get Δp = -p₁ - p₁ = -2p₁.

The magnitude of the change in momentum is given by the absolute value of Δp, so |Δp| = |-2p₁| = 2|p₁|.

Therefore, the magnitude of the change in momentum of the tennis ball is 2 times the magnitude of its initial momentum, or 2|p₁|.

To know more about magnitude refer here:

https://brainly.com/question/31022175#

#SPJ11

The magnetic field as a function of the radial coordinate r for the co-axial wire system

Assuming that the co-axial wire system consists of two cylindrical wires with radii a and b (where a>b), and that a current I flows through the inner wire and an equal and opposite current (-I) flows through the outer wire, we can use Ampere's Law to determine the magnetic field as a function of the radial coordinate in the two regions specified.

For the region inside the inner wire (i.e., for r < b), the magnetic field can be calculated using a circular path of radius r and Ampere's Law:

∮ B · dl = μ0 Ienc

where B is the magnetic field, dl is a small segment of the circular path, μ0 is the permeability of free space, and Ienc is the current enclosed by the path.

Since the magnetic field is symmetric with respect to the axis of the wire, we can choose a circular path of radius r that lies in a plane perpendicular to the wire axis. For this path, the enclosed current is simply I, so we have:

B 2πr = μ0 I

Solving for B, we get:

B = μ0 I / (2πr)

So, for r < b, the magnetic field is proportional to 1/r, and decreases as we move closer to the wire.

For the region between the two wires (i.e., for b < r < a), we can use a circular path of radius r and Ampere's Law again:

∮ B · dl = μ0 Ienc

where now Ienc is the net current enclosed by the path, which is the difference between the currents flowing in the inner and outer wires. Since the currents are equal and opposite, the net enclosed current is zero, so we have:

B 2πr = 0

Therefore, for b < r < a, the magnetic field is zero.

For the region outside the outer wire (i.e., for r > a), we can again use Ampere's Law with a circular path of radius r:

∮ B · dl = μ0 Ienc

Now the enclosed current is -I, so we have:

B 2πr = μ0 (-I)

Solving for B, we get:

B = -μ0 I / (2πr)

So, for r > a, the magnetic field is again proportional to 1/r, but with opposite sign compared to the field inside the inner wire.

B(r) = { μ0 I / (2πr), for r < b

0, for b < r < a

-μ0 I / (2πr), for r > a }

where I is the current flowing through the inner wire.

Learn more about radial coordinate

brainly.com/question/28589244

#SPJ11

Answer:

Explanation:

The addition of two simple harmonic motions will produce a result that is also simple harmonic if the two simple harmonic motions have the same frequency and phase.

When two simple harmonic movements attain their maximum or lowest values at the same moment, they are said to be in phase. If the amplitudes of two simple harmonic movements have the same frequency and are in phase, the amplitude of the resulting motion may be calculated. This indicates that the combined system's motion will still oscillate at the same frequency as the separate movements and will be sinusoidal in form, as is the distinguishing feature of simple harmonic motion. As a result, adding two simple harmonic movements with the same frequency and phase results in a consequent motion that is likewise simple harmonic.

Answer:

18 m

Explanation:

Velocity = distance / time

v = d/t

d = vt

d = (6 m/s) (3  s)

d = 18 m

Hope that helps

a) An inflated balloon was pressed against a wall after it has been rubbed with a piece of synthetic cloth. It was found that the balloon sticks to the wall. This is because a positive and negative electric charge is produced, therefore the balloon sticks to the wall.

b) When an object is thrown up, it comes back to ground because of gravitational attraction force of earth.

c) Mountaineers suffer nose bleeding at higher altitudes because the oxygen level decreases with increase in altitude, which the body cannot adjust.

d) Foundations of high rise buildings are kept wide because more is the area of contact, less is the pressure efforts. So, foundations are wide so as to decrease the possibility of the building from falling down.

e) Deep sea divers or high altitude fliers wear special suits so as prevent their body from being crushed by the water pressure. Since water pressure is maximum at deep seas and oceans, therefore, more is the risk of being injured.

f) Walls of a dam are thickened near the base so that the dam can handle the kinetic energy pressure and prevent itself from breaking down, which if not, can lead to flooding.

HOPE IT HELPS...

The common features of motion and chemical reaction are the movement of particles and the presence of kinetic energy.

Motion is the phenomenon in which an object changes its position concerning other objects. Motion is described in terms of displacement, distance, velocity, acceleration, and speed.

Chemical reactions occur when chemical bonds are formed between atoms. The substances that take part in a chemical reaction are known as the reactants whereas the substances that are produced at the end of the reaction are called the products.

So we can conclude that the movement of particles and the presence of kinetic energy are the common characteristics of motion and chemical reaction.

Learn more about motion here: https://brainly.com/question/453639

#SPJ1

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

For more such information on: force

https://brainly.com/question/12785175

#SPJ8

Sorry my answer was wrong :P

The magnitude of the force per unit length between two parallel wires can be calculated using Ampere's Law. Ampere's Law states that the magnetic field around a current-carrying wire is directly proportional to the current and inversely proportional to the distance between the wires.

In this case, the wires are separated by 6.00 cm and each wire carries a current of 3.00 A in the same direction. To find the magnitude of the force per unit length between the wires, we can use the formula:

Force per unit length = (μ₀ * I₁ * I₂) / (2 * π * d)

where μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, and d is the distance between the wires.

Plugging in the given values:

Force per unit length = (4π * 10^(-7) T * m/A * 3.00 A * 3.00 A) / (2 * π * 0.06 m)

Simplifying:

Force per unit length = (4 * 3.00 * 3.00 * 10^(-7)) / (2 * 0.06) N/m

Force per unit length = (36 * 10^(-7)) / 0.12 N/m

Force per unit length = 300 * 10^(-7) N/m

Force per unit length = 3.00 * 10^(-5) N/m

Therefore, the magnitude of the force per unit length between the wires is 3.00 * 10^(-5) N/m.

To know more about force visit:

https://brainly.com/question/30507236

#SPJ11

The induced EMF in the wire is 0.15625 volts when the wire moves in a perpendicular direction through Earth’s magnetic field.

Induced EMF (electromotive force) is a voltage that is produced in a conductor when it is moved through a magnetic field or when there is a change in the magnetic field around the conductor.

The EMF  induced in the wire is given by the equation:

EMF = BLv

where B is the strength of the magnetic field, L is the wire length, and v is the velocity of the wire relative to the magnetic field.

Substituting the given values, we get:

EMF = (5.0 x 10⁻⁵ T) * (25 m) * (125 m/s)

EMF = 0.15625 V

The magnitude of the induced EMF depends on the strength of the magnetic field, the speed at which the conductor is moving, and the angle between the magnetic field and the direction of motion of the conductor. This phenomenon is known as electromagnetic induction.

Learn more about  induced electromotive force here:

https://brainly.com/question/29525817

#SPJ1

First, let's calculate the power used by the motor with the formula below:

Now, let's multiply the power by the time to find the energy consumed:

Answer:

Explanation:

The calculated density values for the class are precise but not accurate. So so the the density derived from the measured volume?

The density derived from the measured volume is generally considered more precise than the density derived from the calculated volume.

The density derived from the measured volume is generally considered more precise than the density derived from the calculated volume. This is because the measured volume directly accounts for any variations or irregularities in the object's shape or dimensions, providing a more accurate representation of its actual volume. On the other hand, the calculated volume relies on assumptions or approximations of the object's shape or dimensions, which can introduce additional uncertainties and errors into the calculation. By directly measuring the volume, you can minimize the potential sources of error and obtain a more precise density value.

To learn more about density click here

https://brainly.com/question/29775886

#SPJ11

The sun is Yellow, red, orange, and blue. Therefore option B is correct.

The star is moving toward an observer. Therefore option B is correct.

39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.

40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.

29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.

30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.

1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.

Know more about radioactive decay:

https://brainly.com/question/1770619

#SPJ12

An object's temperature plays a crucial role in determining the wavelengths of radiation it emits, and this relationship is described by Planck's Law.

The wavelengths of radiation that an object emits depend primarily on the object's temperature. This is because temperature determines the amount of energy an object has, and the wavelength of radiation is directly related to the amount of energy it possesses.

As an object's temperature increases, its atoms and molecules become more energetic and vibrate faster, which causes them to emit radiation with shorter wavelengths and higher energy. This is known as the Planck's Law, which states that the wavelength of maximum radiation emitted by an object is inversely proportional to its temperature.

To  know more about temperature visit :-

https://brainly.com/question/1557910

#SPJ11

Answer:

Explanation:

90

Th

232.04

Box that and there is your answer.

Answer:

Explanation:

90

Th

232.04

Energy is transferred.

Every time labour is performed, energy is transmitted, as shown by the definition of work in physics. Work is the result of the displacement's magnitude and the component of force acting in that direction.

What are 3 types of work done?

Work is the result of force and distance, or the force exerted over a specific distance. In other words, Work = Force x Distance.

Joules are used to measure work.

1. Positive Work: Positive work is when a force moves an object in that direction. The motion of a ball descending toward the earth while it is displaced in the direction of the force of gravity is an illustration of this type of labour.

2. Negative Work: The work is said to be negative if the force and the displacement are in the opposing directions. For instance, if a ball is thrown high, its displacement will also be upwards, while the force from the earth's gravity will be downward.

3. Zero Work: When the force and displacement directions are parallel to one another, there is no work done on the item by the force.

to learn more about Work go to - https://brainly.com/question/6535839

#SPJ4

Answer:Energy is transferred.

Explanation: Took the test and Passed

Answer:

15

Explanation:

speed = distance/time

distance = 60 meters

time = 4 seconds

speed = 60/4= 15 ms-¹

Speed:-

Indeed, the limited range of wavelengths between infrared and ultraviolet light constitutes visible light. The wavelength of visible light falls between 400 and 700 nanometers.

The wavelength range of UV "light" is about between 10 and 400 nanometers. Violet light has a wavelength of about 400 nanometers (or 4,000 ). The frequency range of ultraviolet light is between 800 terahertz (THz, or 1012 hertz), and 30,000 THz.

The visible light spectrum has a wavelength range of 400 to 700 nanometers, and in this section, we learn what each color's wavelength is. The visible light spectrum has multiple distinct colours with various wavelengths.

To know more about wavelengths visit:-

https://brainly.com/question/13533093

#SPJ1

The two main mechanisms involved in sea level rise are thermal expansion and the melting of land-based ice. Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

As the Earth's oceans absorb heat from the atmosphere, the water expands thermally, leading to an increase in sea level.

Melting of land-based ice refers to the melting of glaciers and ice sheets, such as those in Greenland and Antarctica.

Under the RCP8.5 scenario, which represents a high greenhouse gas emissions trajectory, the dominant mechanism of sea level rise is expected to be the melting of land-based ice.

The increased temperature and subsequent accelerated melting of ice sheets and glaciers would contribute significantly to rising sea levels.

Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

Some of these impacts include Increased erosion, altered wave patterns, loss of coastal access, coastal squeeze, and visual and aesthetic impact.

It is essential to consider these potential impacts on neighboring communities when evaluating the suitability and long-term effects of implementing sea walls as coastal protection measures.

Read more about Sea level rise.

https://brainly.com/question/3988772

#SPJ11

Answer: 1.42 N

Explanation:

Just took

Answer:

212 pounds

Explanation:

477 nm / 180 nm/hr     *   80 #/hr = 212 #

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

To learn more about Spring Constant :

https://brainly.com/question/1968517

Answer:

Clockwise

Explanation:

All of the planets rotate the same way around the sun.

a) To raise the elevator at 35.0 cm/s, the disk must turn at approximately 0.044 rpm.

b) To accelerate the elevator at 18g, the angular acceleration of the disk must be approximately 141.4 rad/s^2.

c) The angle through which the disk has turned when it has raised the elevator 2.55 m between floors is approximately 2.04 radians.

To find the rpm of the disk required to raise the elevator at a speed of 35.0 cm/s, we can start by finding the speed at which the cable is moving over the disk. The circumference of the disk is

C = πd = π(2.50 m) = 7.85 m

The distance traveled by the cable in one revolution of the disk is equal to the circumference of the disk. Therefore, the speed of the cable is

v = C × rpm

To find the rpm required to raise the elevator at 35.0 cm/s, we can solve for rpm

35.0 cm/s = 0.35 m/s

0.35 m/s = 7.85 m × rpm

rpm = 0.35 m/s ÷ 7.85 m = 0.044 rpm

Therefore, the disk must turn at approximately 0.044 rpm to raise the elevator at a speed of 35.0 cm/s.

To accelerate the elevator at 18g, we need to find the force required:

F = ma = (18g)(m)

where m is the mass of the elevator. We can rearrange this equation to solve for m

m = F ÷ (18g)

To find the angular acceleration of the disk required to accelerate the elevator, we can use the equation

α = a ÷ r

where α is the angular acceleration, a is the linear acceleration, and r is the radius of the disk. The radius of the disk is half the diameter, or 1.25 m.

α = (18g) ÷ (1.25 m)

α ≈ 141.4 rad/s^2

Therefore, the angular acceleration of the disk must be approximately 141.4 rad/s^2 to accelerate the elevator at 18g.

To find the angle through which the disk has turned when it has raised the elevator 2.55 m between floors, we can use the equation

θ = s ÷ r

where θ is the angle in radians, s is the distance traveled by the cable, and r is the radius of the disk.

The distance traveled by the cable is equal to the difference in height between the floors, or 2.55 m.

θ = 2.55 m ÷ 1.25 m

θ ≈ 2.04 radians

Learn more about angular acceleration here

brainly.com/question/13689927

#SPJ4

The use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and momentum of the jumper, leading to a safer landing with a reduced risk of injury.

The use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and thus the momentum of the person jumping. Momentum is defined as the product of an object's mass and velocity, and it is conserved if there are no external forces acting on the object.

When jumping out of a plane, the initial momentum of the person is determined by their mass and the velocity they have just before jumping. If they were to fall to the ground simply, the momentum would remain constant and the velocity would increase as they fall, leading to a much greater impact force upon landing.

Thus, the use of a parachute when jumping out of a plane is beneficial because it reduces the impulse and momentum of the jumper, leading to a safer landing with a reduced risk of injury.

Learn more about impulse and momentum here:
https://brainly.com/question/2193212
#SPJ1

Answer:

Weight it in beam balance or any other weight mesuring device

An electromagnetic wave is a transverse wave consisting of oscillating electric and magnetic fields that propagate through space at the speed of light.

The direction of propagation of the wave is perpendicular to the electric and magnetic fields.

In this scenario, a plane electromagnetic wave is traveling vertically downward, meaning the direction of propagation is vertical, and the magnetic field is pointing eastward.

According to the right-hand rule, if the magnetic field is pointing eastward, then the electric field must be perpendicular to it and to the direction of propagation.

Therefore, the electric field must be pointing toward the north.

This is because the electric and magnetic fields in an electromagnetic wave are orthogonal to each other, meaning they are at right angles to each other.

So, if one field is pointing in a particular direction, the other field must be pointing in a direction perpendicular to it.

Understanding the direction of the electric and magnetic fields in an electromagnetic wave is crucial to understanding how the wave behaves and interacts with matter. This is fundamental to many areas of physics, including optics, electromagnetic radiation, and communication systems.

So, the correct answer is: toward the north.

To know more about transverse wave visit link :

https://brainly.com/question/29952597

#SPJ11

The electric field of an electromagnetic wave is perpendicular to the magnetic field and both are perpendicular to the direction of wave propagation. Therefore, since the magnetic field is pointing eastward, the electric field must be pointing vertically downward.

The right-hand rule is a way to determine the direction of the electric field based on the direction of the magnetic field. If we hold our right hand with the thumb pointing in the direction of the propagation (vertically downward in this case) and the fingers curled in the direction of the magnetic field (eastward in this case), then the direction that the extended fingers point to will be the direction of the electric field.

In this scenario, the magnetic field is pointing eastward and the propagation is vertically downward. If we use the right-hand rule, we can see that the electric field could be pointing either toward the north or toward the south, as those are the directions that are perpendicular to both the magnetic field and the direction of propagation. Therefore, without further information, we cannot determine the exact direction of the electric field.

Learn more about magnetic field here:

https://brainly.com/question/11514007

#SPJ11

A weight of mass 1.25 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.54 kg and radius 0.528 m and the vertical distance s is 19.701 m.

To find the distance the given data are,

Mass suspended, m = 1.25 kg

Mass of the pulley, M = 4.54 kg

Radius of the pulley, r = 0.528 m

Let us consider the tension in the string be 'T'

therefore,

the net force in the vertical direction

mg - T = ma

where, g is the acceleration due to the gravity

a is the acceleration of the hanging mass.

Let, Torque on the pulley = Iα

where,

I is the moment of inertia of the pulley

α is the angular acceleration.

Thus, torque = T × r

also

α = a/r

and I = (Mr²/2) for the circular disc

on substituting the values in the above relation for torque, we get

T × r = (Mr²/2) × (a/r)

or

T = (Ma)/2

On comparing the values of T,

mg - [(Ma)/2] = ma

or

mg = a (M/2+m)

Substituting the values, we get

1.25×9.8 = a( 4.54 /2 + 0.528)

on simplifying the above equation,

12.25 = a 2.798

a = 4.378 m/s²

or

s = ut + 1/2 at²

where, s is the distance covered

u is the initial speed = 0 (for this case)

t is the time = 3 seconds

therefore, on substituting the values, we get

s = 0 ×3 + 1/2 ( 4.378)(3²)

s = 19.701

Thus, the vertical distance s is 19.701 m.

Learn more about torque,

https://brainly.com/question/12875964

#SPJ1