The drawing shows a graph of two waves traveling to the right at the same speed. (a) Using the data in the drawing, determine the wavelength of each wave. (b) The speed of the waves is 12 m/s; calculate the frequency of each one. (c) What is the maximum speed for a particle attached to each wave?

Answer:

The pressure at the bottom of the river is less than that at the bottom of the lake.

Explanation:

From Bernoulli's equation, the pressure difference is given by

ΔP = ρgΔh + ρ(v₂² - v₁²)/2 where ρ = density of water, g = acceleration due to gravity, Δh = depth, v₁ = velocity at top, v₂ = velocity at bottom

For the lake, v₁ = v₂, since the velocity at the top and bottom are the same. So,

ΔP₁ = ρgΔh + ρ(v₁² - v₁²)/2 = ρgΔh + 0 = ρgΔh

P₂ - P₁ = ρgΔh

P₂ = P₁ + ρgΔh

For the river, v₁ < v₂, since the velocity at the top of the river is greater than at the bottom.

So,

ΔP₂ = ρgΔh + ρ(v₂² - v₁²)/2.

Since  v₁ < v₂, ρ(v₂² - v₁²)/2 will be negative,

So,

ΔP₂ = ρgΔh - ρ(v₂² - v₁²)/2.

Since ρ(v₂² - v₁²)/2 is negative, making ΔP less than that in the lake.

So, ΔP₂ = ΔP₁ -  ρ(v₂² - v₁²)/2.

ΔP₂ = P₃ - P₁

P₃ - P₁ = P₂ - P₁ -  ρ(v₂² - v₁²)/2.

P₃ = P₂ - ρ(v₂² - v₁²)/2.

where P₃ = pressure at bottom of the river and P₂ = pressure at bottom of the lake and P₁ = atmospheric pressure at top of river and lake respectively.

Since the factor ρ(v₂² - v₁²)/2 is removed from the pressure at the bottom of the lake, the pressure at the bottom of the river is therefore less than that at the bottom of the lake.

Answer:

Once the weighted end of the pendulum is released, it will become active as gravity pulls it downward. Potential energy is converted to kinetic energy, which is the energy exerted by a moving object. An active pendulum has the most kinetic energy at the lowest point of its swing when the weight is moving fastest.

Explanation:

When a solid turns into a liquid, the particles gain energy and vibrate more quickly.

As heat is added to the solid, the particles gain energy and start moving more vigorously. Eventually, the energy overcomes the intermolecular forces holding the particles in place, causing them to break free from their fixed positions.

As a result, the solid's structure breaks down, and the particles become less organized, allowing them to flow freely past one another. This change from a solid to a liquid is known as melting, and it occurs at the melting point of the substance.When a liquid turns into a gas, the particles experience a process called vaporization or evaporation.

In a liquid, the particles are loosely packed and move more freely compared to a solid. As heat is applied to the liquid, the particles gain even more energy and move faster. Some particles near the surface gain enough energy to overcome the attractive forces of neighboring particles and escape into the surrounding space as gas molecules.

This transition from a liquid to a gas occurs at the boiling point of the substance. The remaining liquid continues to evaporate until all the liquid has been converted into gas or until equilibrium is reached.In both processes, the arrangement and motion of the particles change significantly.

The transition from a solid to a liquid involves a breakdown of the fixed positions of the particles, while the transition from a liquid to a gas involves the escape of particles from the liquid's surface.

for such more questions on particles

https://brainly.com/question/27911483

#SPJ8

Answer:

The geosphere consists of the solid Earth and the atmosphere consists of the gaseous components in the air. Thus, the answer is C.

Explanation:

Answer:

C

Explanation:

A torque is a force that a lever arm uses to apply to a body. When used to describe internal combustion engines or electric motors, torque refers to the force acting on the driving shaft.

To determine the torque, abductor muscle force, and net hip joint reaction force in a patient standing on one limb, please follow these steps:

1. Determine the torque that the abductor muscles must provide to maintain the body position:
i. Identify the forces acting on the hip joint: the patient's body weight (W) acting vertically downwards and the abductor muscle force (F) acting perpendicular to the lever arm (L).
ii. Calculate the torque (T) required to maintain body position using the formula: T = F * L

2. Determine the abductor muscle force that was required to produce this torque:
i. Rearrange the formula for torque to find the abductor muscle force: F = T / L
ii. Substitute the calculated torque (T) and the known lever arm (L) into the formula to find the abductor muscle force (F).

3. Determine the magnitude of the net hip joint reaction force:
i. Recognize that the net hip joint reaction force (R) is the vector sum of the abductor muscle force (F) and the patient's body weight (W).
ii. Calculate the magnitude of the net hip joint reaction force (R) using the Pythagorean theorem: R = √(F² + W²)

In summary, to solve this problem, you need to first calculate the torque required to maintain body position, then determine the abductor muscle force needed to produce this torque, and finally find the magnitude of the net hip joint reaction force.

Know more about torque:

https://brainly.com/question/17512177

#SPJ11

The linear acceleration of the car wheel is 0.735 m/s².

The linear acceleration of a point on the rim of a wheel is related to the angular acceleration of the wheel by the equation:

a = rα

Where "a" is the linear acceleration, "r" is the radius of the wheel, and "α" is the angular acceleration.

Given the data in the question;

Plug the given values into the above formula and solve for the linear acceleration of wheel.

a = r × α

a = 0.3 m × 2.45

a = 0.735 m/s²

Therefore, the linear acceleration is 0.735 m/s².

Learn more about angular acceleration here: https://brainly.com/question/1592013

#SPJ1

Answer:F=98 N because 9.8 m/s^2 (g) times 10 (m)=98

When a boxer is moving away from a punch, the force experienced is reduced because the impact time, or the duration of the impact, is increased.

When an object is in motion and is suddenly subjected to a force, the magnitude of the force depends on both the strength of the force and the time over which it is applied. The longer the impact time, the lower the average force experienced by the object.

By moving away from the punch, the boxer effectively increases the impact time, spreading out the force of the punch over a longer period of time and reducing the average force experienced. This is similar to the idea of a "glancing blow," in which a moving object experiences a reduced force if it is only partially hit, as opposed to being hit head-on.

This is why boxers often move away from punches and try to dodge them, rather than trying to absorb them head-on. By reducing the force of the punch, they can avoid being knocked out or seriously injured, and can stay in the fight.

To know more about force , visit:

https://brainly.com/question/12785175

#SPJ4

The momentum of an object is 30 kgm/s . This can be calculated by using momentum formula see description below.

It is defined as the product between mass and velocity. Its symbol is p.

It is given by:

p = m * v

What information do we have?

Mass = 5kg

Velocity = 6 m/s

To find:

Momentum=?

On substituting the values:

p = m * v

p =5 kg * 6 m/s

p = 30 kgm/s

Thus, the momentum of an object is 30 kgm/s.

Find more information about Momentum here:

brainly.com/question/1042017

Answer:

Anything that isn't in the sky like a book or a chicken

Explanation:

The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.

To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.

First, let's calculate the resonant frequency (ω) of the circuit:

ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.

The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.

Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.

Now, let's find the impedance (Z) of the circuit:

Z = √(R^2 + (Xl - Xc)^2),

where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

R = 20 Ω

Xl = ωL = 1 * 10 = 10 Ω

Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω

Plugging in these values, we get:

Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.

The amplitude of the current (I) can be calculated using Ohm's Law:

I = E / Z = 200 / 22.36 ≈ 8.94 A.

The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:

tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.

Therefore, Φ ≈ -0.464 rad.

The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.

To know more about amplitude  visit :

https://brainly.com/question/3613222

#SPJ11

Answer:

68

Explanation:

because 8.50 x 8 is 68

Answer:

Is this science you are talking about

Explanation:

Answer:

x = 100.64 [m]

Explanation:

To solve this problem we must use the following kinematics equation.

\(v_{f} = v_{i} + (a*t)\\\)

\(v_{f} ^{2} = v_{i} ^{2} + (2*a*x)\\\)

where:

Vi = initial velocity [m/s]

Vf = final velocity = 60.16 [m/s]

a = acceleration = 17.98 [m/s^2]

t = time = 7 [s]

Now replacing the values, we have:

(60.16)^2 = 0 + (2*17.98*x)

x = 100.64 [m]

Answer:

0.7 g/cm^3

Explanation:

Density = Mass / Volume

             = 84g / 120 cm^3

             = 0.7 g / cm^3

Distance = (speed) x (time)  <== This is important.  You should memorize it.

Distance = (30 km/hr) x (3 hr)

Distance = (30 x 3) (km/hr x hr)

Distance = 90 km

Power = (work done) / (time to do the work)

Power = (750 joules) / (75 seconds)

Power = 10 joules/second

Power = 10 watts

The position of the mass as a function of time is given by x(t) = 0.4sin(3t + φ), where φ is the phase constant.

In this mass-spring system, the driving force applied to the mass is given by f(t) = 5sin(3t) N. The equation of motion for a mass-spring system without air resistance is given by the second-order linear differential equation:

\(m * d^2x/dt^2 + k * x = f(t)\)

where m is the mass (4.5 kg), k is the spring constant (0.5 N/m), and x(t) represents the displacement of the mass from the equilibrium position.

To solve the equation, we assume the solution to be of the form x(t) = A * sin(ωt + φ), where A is the amplitude, ω is the angular frequency, and φ is the phase constant. Substituting this solution into the equation of motion and comparing the coefficients of sin(ωt) on both sides, we can determine the values of A and φ.

Given that the displacement of the mass is 0.4 m, we can deduce that A = 0.4. The angular frequency ω is determined by ω = sqrt(k / m).

Plugging in the given values of k and m, we get ω = sqrt(0.5 / 4.5). With these values, we can now express the position of the mass as a function of time:

x(t) = 0.4sin(ωt + φ)

Learn more about position of the mass

brainly.com/question/3536445

#SPJ11

Answer:

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object.

Answer:

Newton’s first law states that an object will remain at rest or in motion at a constant velocity unless acted on by a net external force. Newton’s second law states that the force acting on an object is equal to its mass times its acceleration. When a rocket hits an asteroid, the asteroid will remain still until acted upon by the force of the rocket. The force of impact will depend on the mass and acceleration of the rocket.

Explanation:

Newton’s first law, also known as the law of inertia, states that an object at rest remains at rest, or if in motion, remains at a constant velocity unless acted on by a net external force. This means that a rocket will remain still until a force is applied to move it. Once it’s in motion, it won’t stop until a force is applied.

Newton’s second law states that the force acting on an object is equal to its mass times its acceleration (F=ma). This means that the more mass an object has, the more force is needed to move it. During a rocket launch, the engines burn the propellant to fuel the rocket, using it all up until it is gone. Thus, the rocket’s mass becomes smaller as the rocket ascends. So, in keeping with Newton’s second law of motion, the rocket’s acceleration increases as its mass decreases.

When a rocket hits an asteroid, both Newton’s first and second laws come into play. The asteroid will remain still until acted upon by an external force (the rocket). The force of impact will depend on the mass and acceleration of the rocket.

Answer:

Explanation: The Wheatstone bridge is the interconnection of four resistances forming a bridge. ... To find the value of unknown resistance the deflection on galvanometer made to zero by adjusting the variable resistor. This point is known as balance point of Wheatstone bridge

The probability that a piston ring will have an inner diameter exceeding 10.05cm is about 0.0475 or 4.75%.

The probability that a piston ring will have an inner diameter exceeding a certain value can be found using the standard normal distribution. For a piston ring with a mean of 10cm and a standard deviation of 0.03cm, the probability of having an inner diameter exceeding a certain value can be calculated by finding the z-score and using a z-table. The inner diameter of a piston ring is normally distributed with a mean of 10cm and a standard deviation of 0.03cm. The probability of a piston ring having an inner diameter exceeding a certain value can be calculated using the standard normal distribution. For example, if we want to find the probability that a piston ring will have an inner diameter exceeding 10.05cm, we can first find the z-score: z = (x - μ) / σz = (10.05 - 10) / 0.03z = 1.67Using a z-table, we can find that the probability of having a z-score of 1.67 or greater is approximately 0.0475. Therefore, the probability that a piston ring will have an inner diameter exceeding 10.05cm is about 0.0475 or 4.75%.

Know more about probability, here:

https://brainly.com/question/31828911

#SPJ11

Parallel rays of light that hit a concave mirror will come together b. at the focal point.

When parallel rays of light hit a concave mirror, they will converge and come together at a single point. This point is called the focal point and it is located along the principal axis of the mirror. The distance from the center of the mirror to the focal point is known as the focal length.

This phenomenon is known as converging or concave mirror. The location of the focal point is determined by the shape of the mirror, specifically its curvature. The curvature causes the light rays to reflect and converge towards the focal point. Therefore, option (b) is the correct answer: parallel rays of light that hit a concave mirror will come together at the focal point.

To know more about the Parallel rays refer here :

https://brainly.com/question/27507033#

#SPJ11

As a result, the freezer's maximum coefficient of performance (COP) is around 7.37.

The ratio of heat extracted from the cooled chamber to the work performed by the compressor is known as the coefficient of performance (COP) of a refrigerator or freezer. The highest COP is determined by the Carnot efficiency for a refrigerator or freezer operating between two thermal reservoirs at temperatures Th and Tc (where Th > Tc):

In this instance, the outside temperature is Th = 29°C, or 302 K, while the freezer's internal temperature is Tc = -12°C, or 261 K. When we enter these values into the formula above, we obtain:

COP_max = Th / (Th - Tc)

COP_max = 302 K / (302 K - 261 K)

= 302 K / 41 K

≈ 7.37

Learn more about temperature visit: brainly.com/question/24746268

#SPJ4

As a result, the freezer's maximum coefficient of performance (COP) is around 7.37.

The ratio of heat extracted from the cooled chamber to the work performed by the compressor is known as the coefficient of performance (COP) of a refrigerator or freezer. The highest COP is determined by the Carnot efficiency for a refrigerator or freezer operating between two thermal reservoirs at temperatures Th and Tc (where Th > Tc):

In this instance, the outside temperature is Th = 29°C, or 302 K, while the freezer's internal temperature is Tc = -12°C, or 261 K. When we enter these values into the formula above, we obtain:

COP_max = Th / (Th - Tc)

COP_max = 302 K / (302 K - 261 K)

= 302 K / 41 K

≈ 7.37

Learn more about temperature visit: brainly.com/question/24746268

#SPJ4

The correct answer is 29883.3m/s

The pace at w.hich an object's position changes in relation to a frame of reference is known as its velocity, which is a time-dependent quantity. The speed and direction of an object's motion are its velocity. The rate at which an object's velocity changes in relation to time is defined as its acceleration.

The following kinematic equation can be used to connect velocity and acceleration:

v_1=v_0+at

Where v_1 denotes the ultimate velocity, v_0 denotes the starting velocity, a denotes the acceleration, and t is the passing of time.

Calculate the length of the Earth's orbit around the Sun to get started. For this issue, a circle rather than an ellipse can be used to represent the Earth's orbit.

Circumference = C=πD=2πR

=2π(1.5×10km)

=9.424π×10^8

Do a dimensional analysis to convert the speed of the Earth around the Sun from miles per hour to metres per second:

s_earth= 9.424π×10^8/1year × (1year×100m×1day×1hour×1min)/(1km×365days×24hours×3600seconds)

=29883.3m/s

To learn more about Earth's orbit refer the link:

https://brainly.com/question/11046519

#SPJ4

The width of the slit is approximately 3.03 × 10⁻⁵ meters.

To calculate the width of the slit, we can use the concept of diffraction. When light passes through a narrow slit, it diffracts and produces a pattern of bright and dark regions on a screen. The angle of separation between the dark bands can be used to determine the width of the slit.

In this case, the first dark bands on either side of the center are separated by an angle of 57.0 degrees.

We can use the formula for the angle of separation in a single-slit diffraction pattern: θ = λ / (w * sin(θ)), where λ is the wavelength of the light, w is the width of the slit, and θ is the angle of separation.

Rearranging the formula, we can solve for the width of the slit: w = λ / (sin(θ)). Substituting the given values, with the wavelength λ = 450 nm (or 4.5 × 10⁻⁷ meters) and the separation angle θ = 57.0 degrees, we can calculate the width of the slit as approximately 3.03 × 10⁻⁵ meters.

Learn more about width

brainly.com/question/30173060

#SPJ11

Answer:

B

Explanation:

Answer:

B

Explanation:

Because B/5

if i'm wrong sorry but i hope it's help^^

the right answer of the question is true