For sound waves, which travel at 343 m/s in air at room temperature, what frequency corresponds to a wavelength of 2.00 m ?

The speed of skater can be given as,

Here, v is the speed, d is the distance travelled and t is the time taken.

Substitute the known values,

Thus, the speed of skater is approximately 68 km/h.

Given:

The amount of gravity produced by the Sun was reduced to almost zero.

To find:

What would happen to the orbits of the planets

Explanation:

The centripetal force for the rotation of every planet is supplied by the gravitational force between the sun and the planet. If the gravitational force by the sum becomes zero, the planets would begin moving away from their usual path into space.

Hence, the planets would abandon their orbit and move out into space.

We will have that the value will be:

a.)  the ball rises to a height of 31.88m

b.) It takes the ball 2.55 seconds to reach its highest point

c.) It takes the ball 2.55 seconds to hit the ground

d.) The ball's velocity is -24.99 m/s in the negative direction which is downwards.

Velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

From the given question, we have that

b.) At highest point velocity of the ball will become zero so v=0m/s.

So using equation

v = u + gt

0 = 25 - 9.8t

t = 25/9.8 s =2.551 s

Time taken by the ball to reach its highest point will be 2.551 seconds .

a.)  The height the ball rises is given by

v²-u²=2gh

=> 0-(25.0)²=-2*9.8*h

=> 19.6h= (25.0)²

=> h= 31.88m.

c.)  It will take the ball 2.55 seconds to hit the ground

after it reaches its highest point because it will take the ball same time for the ball to reach its highest point or fall to the ground.

d.) velocity = u - gt

V = 0 - 9.8 * 2.55

V= -24.99 m/s in the negative direction which is downwards.

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Answer:

Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.

Which expression can you use to find 23% of 52?

✔ 0.23 × 52

23% of $52 is $

✔ 11.96

.

An easy way to check your answer is to use the friendly

✔ 25%

and divide 52 by

✔ 4

to get

✔ 13

.

Explanation:

Explanation:

The satement that can be made about sound wave A and sound wave B is, they will slow down.

Relationship between sound wave and temperature

The relationship between sound waves and temperature is given by the following formula;

v= √γRT

The speed of sound wave increases with increase in temperature, and vice versa.

Speed of sound wave in liquid and gaseous medium

Sound wave is mechanical wave, because it requires material medium for its propagation. Sound will travel faster in liquid medium than gaseous medium because of number of molecules per unit volume.

Thus, the satement that can be made about sound wave A and sound wave B is, they will slow down.

Answer: 134 = 143 = 151 = 166 = 176

Hope this helps!!

Sorry if it's incorrect!!

:'(

The toy car's top speed is roughly 2.01 m/s.

When the key is wound, the potential energy of the spring is transformed into kinetic energy, which causes the toy vehicle to move on the floor. The law of conservation of energy is the reason why the toy vehicle moves on the floor once the key is wound.

K1 = (1/2) * m * v1²

where m is the mass of the toy car, v1 is its initial speed, and K1 is its initial kinetic energy.

U = m * g * h

where g is the acceleration due to gravity and h is the height gained by the toy car.

K2 = m * g * h

where K2 is the final kinetic energy of the toy car.

Equating the initial and final energies of the system, we have:

(1/2) * m * v1² = m * g * h

Simplifying and solving for v2, the final velocity of the toy car, we get:

v2 = √(2 * g * h + v1²)

Substituting the given values, we get:

v2 = √(2 * 9.81 m/s² * 0.21 m + (2.22 m/s)²)

v2 = √(4.0443)

v2 = 2.01 m/s (approx)

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The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.

Answer:

Explanation:

Distance = total length traveled = 3 + 1 = 4 km

Displacement² = 3² + 1² = 10

Displacement = √10 = 3.16

direction = tan⁻¹(3/-1) = 71.6⁰ north of west

Answer:

B. Containing charged regions

Explanation:

The term i.e. intermolecular forces would be used to explain the attraction forces. Here the interaction would be done between molecules etc that acts between the acts & the other types of particles i.e. neighboring like atoms or ions

So in the given case, the option b would be contributed to the molecules that have intermolecular forces

hence, the option b is correct

The magnitude of the acceleration  of the engine that must be produced is 0.068 m/s².

The magnitude of the acceleration of the engine is calculated by applying the following kinematic equation.

s = vt + ¹/₂at²

where;

The acceleration of the engine in x direction is calculated as follows;

( 3.71 x 10⁸ x cos 46 ) = ( 1670 x cos73 )(8.64 x 10⁴) + ¹/₂ (ax)(8.64 x 10⁴)²

2.58 x 10⁸ = 4.22 x 10⁷ + 3.73 x 10⁹ax

3.73 x 10⁹ax = 2.16 x 10⁸

ax = ( 2.16 x 10⁸ ) / ( 3.73 x 10⁹ )

ax = 0.058 m/s²

The acceleration of the engine in y direction is calculated as follows;

( 3.71 x 10⁸ x sin 46 ) = ( 1670 x sin73 )(8.64 x 10⁴) + ¹/₂ (ay)(8.64 x 10⁴)²

2.67 x 10⁸ = 1.38 x 10⁸ + 3.73 x 10⁹ay

3.73 x 10⁹ay = 1.29 x 10⁸

ay = ( 1.29 x 10⁸ ) / ( 3.73 x 10⁹ )

ay = 0.035 m/s²

The magnitude of the acceleration  of the engine that must be produced is calculated as;

a = √ ( ax² + ay² )

a = √ ( 0.035² + 0.058² )

a = 0.068 m/s²

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Answer:

Explanation:

He agreed to the command, because it was God who proposed it. The story is supposed to make a comment on faith. Abraham had faith that somehow God would make everything right. The Ten commandments came later, but really had nothing to do with Abraham's decision.

True.

Answer: the radius of the circular path is approximately 1637.58 meters.

Explanation:

The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:

F_c = m * g * tan(banking angle)

Where:

F_c is the centripetal force

m is the mass of the airplane

g is the acceleration due to gravity

tan(banking angle) is the tangent of the banking angle

Now, the centripetal force is also given by the formula:

F_c = (m * v^2) / r

Where:

v is the speed of the airplane

r is the radius of the circular path

Equating the two expressions for F_c, we get:

(m * g * tan(banking angle)) = (m * v^2) / r

Canceling out the mass (m) on both sides of the equation, we have:

g * tan(banking angle) = v^2 / r

Solving for r, we get:

r = (v^2) / (g * tan(banking angle))

Substituting the given values:

v = 400 km/h = 400,000 m/h

g = 9.8 m/s^2

banking angle = 20°

Converting the speed to m/s:

v = 400,000 m/h * (1/3600) h/s = 111.11 m/s

Converting the banking angle to radians:

banking angle = 20° * (π/180) rad/° = 0.3491 rad

Now, substituting the values into the formula:

r = (111.11^2) / (9.8 * tan(0.3491))

r ≈ 1637.58 meters

Therefore, the radius of the circular path is approximately 1637.58 meters.

Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.

There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;

The surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.

The heat from the air is transferred to the pool through convection.

Thus, these two heat transfer processes  causes the surface water of the pool to be warm which decreases with depth.

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Answer:

In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.

In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.

The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.

So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.

Answer:

Explanation:

To calculate an effect size, called Cohen's d , for the one-sample t-test you need to divide the mean difference by the standard deviation of the difference, as shown below. Note that, here: sd(x-mu) = sd(x) . μ is the theoretical mean against which the mean of our sample is compared (default value is mu = 0).

Answer:

What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.

Answer:

5. An object of mass m = 2 kg, moving with velocity Vi1 = 12 m/s, collides head-on with a stationary object whose mass is m2 = 6 kg. The velocities of the objects after the collision are vj1 -6 m/s and Vr2 = 6 m/s.

Explanation:

We can use the conservation of momentum and kinetic energy to solve for the final velocities of the two objects.

Conservation of momentum:

m1v1i + m2v2i = m1v1f + m2v2f

where m1 and v1 are the mass and velocity of object 1 before the collision, and m2 and v2 are the mass and velocity of object 2 before the collision.

Plugging in the values:

(2 kg)(12 m/s) + (6 kg)(0 m/s) = (2 kg)(v1f) + (6 kg)(v2f)

Simplifying:

24 kg m/s = 2 kg v1f + 6 kg v2f

Conservation of kinetic energy:

(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2

Plugging in the values:

(1/2)(2 kg)(12 m/s)^2 + (1/2)(6 kg)(0 m/s)^2 = (1/2)(2 kg)(v1f)^2 + (1/2)(6 kg)(v2f)^2

Simplifying:

144 J = 1 kg v1f^2 + 3 kg v2f^2

Now we have two equations with two unknowns (v1f and v2f). Solving for v1f in terms of v2f in the first equation:

v1f = (24 kg m/s - 6 kg v2f)/2 kg = 12 m/s - 3v2f

Plugging this into the second equation:

144 J = 1 kg (12 m/s - 3v2f)^2 + 3 kg v2f^2

Simplifying and solving for v2f:

144 J = 1 kg (144 m^2/s^2 - 72 v2f + 9 v2f^2) + 3 kg v2f^2

144 J = 144 J - 72 kg m/s v2f + 9 kg m^2/s^2 v2f^2 + 3 kg v2f^2

6 kg v2f^2 - 72 kg m/s v2f + 144 J = 0

Dividing by 6 kg:

v2f^2 - 12 kg m/s v2f + 24 J/kg = 0

Using the quadratic formula:

v2f = [12 kg m/s ± sqrt((12 kg m/s)^2 - 4(1)(24 J/kg))]/(2)

v2f = [12 kg m/s ± sqrt(96) m/s]/2

v2f = 6 kg m/s ± 2sqrt(6) m/s

v2f ≈ 9.90 m/s or v2f ≈ 2.10 m/s

Plugging these values into the equation we found for v1f:

v1f = 12 m/s - 3v2f

v1f ≈ -16.70 m/s or v1f ≈ 38.70 m/s

Since the negative velocity doesn't make physical sense, the final velocities of the two objects are:

v1f ≈ 38.70 m/s and v2f ≈ 2.10 m/s

The final volume of the glass bottle when heated to 30°C is 10.0018 cm³.

The final volume of the glass bottle is calculated by applying the formula for volume expansivity as follows;

ΔV = V₀αΔT

Where

The change in temperature is calculated as;

ΔT = 30°C - 10°C = 20°C

The change in volume of the bottle;

ΔV = 10 cm³ x (9 x 10⁻⁶) x 20°C

ΔV =  1.8 x 10⁻³ cm³

The final volume of the bottle is calculated as follows;

V₂ = V₁ + ΔV

V₂ = 10 cm³ +  1.8 x 10⁻³ cm³

V₂ = 10.0018 cm³

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Hello. Your question is incomplete. However, I managed to find it completely on the internet and I realized that you forgot to mention that the question asks you for the maximum energy difference between velovistas and non-athletes, considering that the spring constant for the tendon of the two groups is equal to 33n/mm.

To make this calculation you will need to use Hooke's law, using the formula: ¹/2*K*x², where "K" will be the value of the spring constant for the tendon and "X" will be the value of the sprinter and non-athlete terms.

So for the sprinter we will have the calculation:

¹/2*33*41² -------> 0,5*33*1681 = 27736. 5 Nmm

(To facilitate the calculation, first solve the division of ¹/2 and then multiply 41 by 41, lastly, just multiply all the results.)

For the non-athlete we will have the calculation:

¹/2*33*33² -------> 0,5*33*1089 = 17968. 5 Nmm

(To facilitate the calculation, first solve the division of ¹/2 and then multiply 41 by 41, lastly, just multiply all the results.)

Now, to reach the final result, you only need to subtract the two values presented by the sprinter and the non-athlete.

27736.5 - 17968.5 = 9768 Nmm

Answer:

Lost Mechanical Power = 7.7565 KW

Head Loss = 26.35 m

Explanation:

First, we will find the useful mechanical power used to transport water to the higher reservoir:

\(P_{useful} = \rho ghV\)

where,

P_useful = Useful mechanical Power = ?

ρ = density of water = 1000 kg/m³

g = acceleration due to gravity = 9.81 m/s²

h = height = 45 m

V = Volume flow rate = 0.03 m³/s

Therefore,

\(P_{useful} = (1000\ kg/m^3)(9.81\ m/s^2)(45\ m)(0.03\ m^3/s)\\P_{useful} = 13243.5\ W = 13.2435\ KW\)

Now, the lost mechanical power will be:

\(Lost\ Mechanical\ Power = Total\ Mechanical\ Power - Useful\ power\\Lost\ Mechanical\ Power = 21\ KW - 13.2435\ KW\\\)

Lost Mechanical Power = 7.7565 KW

Now, for the head loss:

\(Lost\ Mechanical\ Power = \rho g(Head\ Loss)V\\Head\ Loss = \frac{Lost\ Mechanical\ Power}{\rho gV} \\\\Head\ Loss = \frac{7756.5\ W}{(1000\ kg/m^3)(9.81\ m/s^2)(0.03\ m^3/s)} \\\)

Head Loss = 26.35 m

The magnitude of the net force pn is 2ma.

To determine the magnitude of the net force on the object at time t = 0s, we need to calculate the object's acceleration at that time. We can find the acceleration by taking the second derivative of the position function x(t) with respect to time t:

x(t) = at² - 2bt

v(t) = dx/dt = 2at - 2b

a(t) = d²x/dt² = 2a

The acceleration is constant and equal to 2a. This means that the net force acting on the object is also constant and given by Newton's second law of motion:

F = ma

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

Substituting the value of acceleration a into this equation:

F = ma = m(2a) = 2ma

Therefore, the magnitude of the net force on the object at time t = 0 s is 2ma.

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Answer:

F (force) can be written F/L  = K I1 I2 where K is some constant

F1 = 4 F1    if I1 and I2 are each doubled

If both currents are doubled, the new force of attraction between the wires will be 0.4 mN.

The force of attraction between two parallel wires carrying equal currents is given by Ampere's law, which states that the force is directly proportional to the product of the currents and inversely proportional to the square of the distance between the wires. Given that the current in each wire is 10A and the force of attraction is 1mN, we can use this information to calculate the distance between the wires.

Let's assume the distance between the wires is "d".

Using the formula for the force of attraction between the wires:

F = (μ₀ * I₁ * I₂) / (2πd)

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

Rearranging the formula, we can solve for d: d = (μ₀ * I₁ * I₂) / (2πF)

We know that F = 1mN, I₁ = I₂ = 10A, and μ₀ = 4π x 10^(-7) N/A².

Substituting these values into the formula, we can find the distance between the wires:

d = (4π x 10^(-7) N/A² * 10A * 10A) / (2π * 1mN)

Simplifying the expression, we find: d = (4 x 10^(-6) N/A² * 100 A²) / (2 x 10^(-3) N)

d = 200 x 10^(-6) m

d = 0.2 mm

Now, if both currents are doubled to 20A, we can calculate the new force of attraction between the wires using the same formula:

F' = (μ₀ * I₁' * I₂') / (2πd)

where F' is the new force, I₁' and I₂' are the new currents, and d is the distance between the wires.

Substituting the values, we get: F' = (4π x 10^(-7) N/A² * 20A * 20A) / (2π * 0.2mm)

Simplifying the expression, we find: F' = (4 x 10^(-6) N/A² * 400 A²) / (4 x 10^(-4) N)

F' = 400 x 10^(-6) N

F' = 0.4 mN

Therefore, the new force of attraction between the wires will be 0.4 mN, if both currents are doubled.

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Answer:45 m/s north

Explanation:

Answer:

Transition Metals

Explanation:

__________________________

Answer:

$2.7

$0.9225

Explanation:

According to the question,  the computation is shown below:

AA NiCad rechargeable batteries cost for 4 pack is $10.80.

So for one NiCad rechargeable battery is

\(= \frac {Total\ cost}{Number\ of\ pack}\)

\(= \frac{\$10.80}{4}\)

= $2.7

Now

AA NiCad non-rechargeable batteries cost for 4 pack is $3.69

So for one NiCad rechargeable battery is

\(= \frac {Total\ cost}{Number\ of\ pack}\)

\(= \frac{\$3.69}{4}\)

= $0.9225

So as we can see that cost of one NiCad rechargeable batteries is more than the cost of NiCad non-rechargeable batteries

The mass of the metal ball is approximately equal to 0.1 kg.

Freefall is a type of motion in which an object falls with gravitational acceleration without resistance from air, surface, or medium. In a freefall, the only force acting on an object is the force of gravity. In a freefall, the acceleration of an object is given by the formula:  `g = 9.81 \(m/s^2`\)

The final velocity of a freefalling object can be calculated using the formula: `v = g*t `Where v is the final velocity, g is the gravitational acceleration, and t is the time taken to reach the final velocity. The force acting on an object is equal to the product of the mass of the object and the acceleration acting on the object. This is known as Newton's Second Law of Motion.

The formula for calculating force is:  `F = ma`.Where F is the force acting on the object, m is the mass of the object, and a is the acceleration acting on the object.Given that the velocity of the metal ball at the moment of striking the ground was 30 m/s, and that it stopped after penetrating the sand for 0.01 s, we can calculate the mass of the metal ball using the formula for force.

We can assume that the force acting on the metal ball is equal to the average resistance force of the sand against the motion of the ball.

The formula for calculating force is: `F = ma`.

Rearranging the formula, we get: `m = F/a` .

Substituting the given values, we get:  `

m = -3010/10`

Thus, the mass of the metal ball is approximately equal to 0.1 kg.

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