A sound wave travelling at 330m/s has a frequency of 220Hz. What is its wavelength?

Answer:

The first set of errors, which include friction and imperfect elasticity, are systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will be present in every trial of the experiment and will cause a consistent deviation from the true value.

The second set of errors, which include small amounts of friction and the initial velocity of glider 2, are also systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will also be present in every trial of the experiment and will cause a consistent deviation from the true value.

Explanation:

The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is 0.5225 km.

The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is calculated as follows;

P.E = mgh

Where;

720 Calories x 103 calories/1 food Calorie = 74,160 calories

74,160 calories = 310285.44 J

h = P.E/mg

h = (310285.44) / (60.6 x 9.8)

h = 522.5 m

h = 0.5225 km

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Answer:

a) To solve for the speed of the car, we can use the conservation of energy equation:

(1/2)mv^2 = mgh - (1/2)kx^2

where m is the mass of the car, v is the speed of the car, g is the acceleration due to gravity, h is the height of the car above the starting point, k is the spring constant, and x is the distance the spring is compressed.

Plugging in the given values, we get:

(1/2)(0.250 kg)v^2 = (0.250 kg)(9.81 m/s^2)(0.110 m) - (1/2)(450.0 N/m)(0.0600 m)^2

Solving for v, we get:

v = 1.23 m/s

Therefore, the speed of the car when it reaches 0.110 m above the starting point is 1.23 m/s.

b) To estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s, we can use the work-energy theorem:

W = ΔE = mgh

where W is the work done, m is the mass of the toy, g is the acceleration due to gravity, h is the height the toy is raised, and ΔE is the change in energy.

Plugging in the given values, we get:

W = (0.25 kg)(9.81 m/s^2)(0.75 m) = 1.84 J

Next, we can use the definition of power:

P = W/t

where P is power, W is work, and t is time.

Plugging in the given values, we get:

P = 1.84 J / 2.0 s = 0.92 W

Finally, we can convert watts to horsepower:

1 hp = 746 W

0.92 W = 0.92 / 746 hp = 0.0012 hp

Therefore, the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s is approximately 0.0012 hp.

Answer:

To solve for the amount of stretch in the nylon rope, we can use the equation for the elongation (stretch) of a rope under tension:

ΔL = FL / AE

where ΔL is the change in length of the rope, F is the force on the rope, L is the original length of the rope, A is the cross-sectional area of the rope, and E is the Young's modulus of the rope.

First, we need to find the force on the rope. This is equal to the weight of you and the rope:

F = mg = (75.0 kg + mass of rope)g

Next, we need to find the cross-sectional area of the rope. The diameter of the rope is given as 0.600 cm, so the radius is 0.300 cm = 0.00300 m. Therefore, the cross-sectional area is:

A = πr^2 = 2.83 × 10^-6 m^2

Now we can plug in the given values and solve for ΔL:

ΔL = FL / AE = [(75.0 kg + mass of rope)g](23.0 m) / [(2.83 × 10^-6 m^2)(5.00 × 10^9 N/m^2)]

We can simplify this expression by using the fact that the mass of the rope is much smaller than your mass, so we can assume that the force on the rope is equal to your weight:

ΔL = (mg)(23.0 m) / (A E) = (75.0 kg)(9.81 m/s^2)(23.0 m) / [(2.83 × 10^-6 m^2)(5.00 × 10^9 N/m^2)]

Solving for ΔL, we get:

ΔL = 0.068 cm

Therefore, the nylon rope stretches by approximately 0.068 cm when you hang 23.0 m below a rock outcropping.

I mean if it will be anything the asnwer would be 23^90'200

The force exerted by the table on the block to keep it at rest is equal in magnitude but opposite in direction to the force exerted by the block on the table.

Therefore, the force exerted by the table on the block is 15 N, the weight of the block. This is because the block is at rest and not accelerating, which means that the net force acting on it must be zero.

Since the force of gravity acting on the block is 15 N and it is not accelerating, the force exerted by the table on the block must also be 15 N but in the opposite direction, which balances out the gravitational force.

In summary, the force exerted by the table on the block to keep it at rest is 15 N, which is equal in magnitude but opposite in direction to the force exerted by the block on the table.

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The resulting angular speed of the flat, uniform circular disk is 0.237 rad/s.

Angular momentum is a fundamental concept in physics that describes the rotational motion of an object around an axis. It is defined as the product of the moment of inertia of an object and its angular velocity with respect to a chosen axis.

We can use conservation of angular momentum to solve this problem. The initial angular momentum of the disk is zero because it is stationary. The final angular momentum of the system (disk + person) is:

L = Iω

where I is the moment of inertia of the disk and person about the axis of rotation, and ω is the resulting angular speed of the disk.

The moment of inertia of the disk about its axis is:

I_disk = (1/2)mr²

where the disk's radius is r and its mass is m.  Substituting the given values, we get:

I_disk = (1/2)(150 kg)(5.44 m)² = 2226.24 kg·m²

The moment of inertia of the person about the axis can be approximated as:

I_person = mr²

where r is the distance from the axis to the person. Substituting the given values, we get:

I_person = (47.0 kg)(1.54 m)² = 109.64 kg·m²

The total moment of inertia of the system is:

I = I_disk + I_person = 2226.24 kg·m² + 109.64 kg·m² = 2335.88 kg·m²

The final angular momentum of the system is:

L = Iω

where ω is the resulting angular speed of the disk. Substituting the given values, we get:

(2335.88 kg·m²)ω = (197.64 kg·m²/s)(2.80 m/s)

Solving for ω, we get:

ω = (197.64 kg·m²/s)(2.80 m/s) / (2335.88 kg·m²) = 0.237 rad/s.

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The function is not continuous at x=1, so the answer is A.

At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.

Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.

The weight of someone on Earth with a mass of 75kg is 750N.

option B.

The weight of someone on Earth is calculated using Newton's second law of motion.

W = mg

where;

For the mass is 75kg and the gravitational field strength on Earth is 10N/kg.

W = 75 kg x 10 N/kg

W = 750 N

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The battery Peukert constants, n and, are around 1.223 and 2.486, respectively.

Wilhelm Peukert, a German physicist, proposed Peukert's law in 1897, which quantifies a battery's capacity in terms of the rate of discharge. The battery's useful capacity reduces as the rate of discharge rises. The supplied capacity decreases as discharge rate increases.

C = I⁽⁻ⁿ⁾ * t * λ

log(C) = -n * log(I) + log(λ) + log(t)

log(C1) = -n * log(I1) + log(λ) + log(t1)

log(C1) = -n * log(25) + log(λ) + log(10)

Similarly, for the second measurement, we have:

log(C2) = -n * log(I2) + log(λ) + log(t2)

log(C2) = -n * log(45) + log(λ) + log(4)

log(C1) - log(C2) = -n * (log(25) - log(45)) + log(10/4)

Simplifying, we get:

log(C1/C2) = n * log(45/25) + log(2.5)

Substituting the values, we get:

log(25/45) = n * log(45/25) + log(2.5)

Solving for n, we get:

n = (log(25/45) - log(2.5)) / log(45/25)

n = 1.223

log(C1) = -1.223 * log(25) + log(λ) + log(10)

log(C1) = -1.223 * 1.39794 + log(λ) + 1

Solving for log(λ), we get:

log(λ) = log(C1) + 1.223 * 1.39794 - 1

log(λ) = log(25) + 1.223 * 1.39794 - 1

log(λ) = 0.39794

Therefore, λ = 2.486.

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The frequency of oscillation of the swing is 0.25 Hz.

The time period of oscillation of the swing is 4 s.

The length of the vine of the swing is 3.97 m.

The restoring force acting on Mohammed is 692.9 N.

Mass of Mohammed, m = 50 kg

Angle made by the vine with the vertical, θ = 45°

Number of complete swings made by Mohammed, n = 30

Time taken for this swing, t = 2 minutes = 120 seconds

a) The frequency of the swing is defined as the number of complete oscillations in one second.

So, the frequency of oscillation of the swing is,

f = n/t

f = 30/120

f = 0.25 Hz

b) The time period of oscillation of the swing is,

T = 1/f

T = 1/0.25

T = 4 s

c) The expression for the time period is given by,

T = 2π√(l/g)

T² = 4π² x (l/g)

l/g = T²/4π²

Therefore, the length of the vine of the swing is,

l = T²g/4π²

l = 4² x 9.8/4 x (3.14)²

l = 3.97 m

d) The restoring force acting on Mohammed,

F = mg sinθ

F = 50 x 9.8 x sin 45°

F = 490 x 1/√2 = 490/1.414

F = 692.9 N

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Answer:

Frequency = 25 / 10 = 2.5 Hz

Explanation:

If the wave oscillates up and down 25 times in 10 seconds, then the frequency can be calculated as follows:

Frequency = Number of oscillations / Time

In this case, the number of oscillations is 25, and the time is 10 seconds. Therefore, the frequency is:

Frequency = 25 / 10 = 2.5 Hz

So the frequency of the wave is 2.5 Hertz, which means it completes 2.5 cycles or oscillations in one second.

It promotes enjoyable experiences for both guests and hosts; It lessens the negative effects of tourism on the environment; It increases local residents' access to work and financial prospects; It promotes conservation by offering financial advantages in its direction.

The World Tourism Organization defines ecotourism as all forms of nature-based travel in which visitors' primary interests are in observing and appreciating the environment as well as the local cultures that are still practiced in natural settings.

Here are a few instances of ecotourism:

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The overall charge of the atom after an electron is added is -1.

An ion is an atom or molecule that has an unequal number of protons and electrons, resulting in a net electrical charge. Atoms are normally electrically neutral because the number of protons, which carry a positive charge, is equal to the number of electrons, which carry a negative charge. However, when an atom gains or loses one or more electrons, it becomes an ion with a net electrical charge.

When an atom loses one or more electrons, it becomes a positively charged ion, or cation, since the number of positively charged protons is greater than the number of negatively charged electrons. On the other hand, when an atom gains one or more electrons, it becomes a negatively charged ion, or anion, since the number of negatively charged electrons is greater than the number of positively charged protons.

An atom with four protons and four electrons is electrically neutral since the number of positively charged protons equals the number of negatively charged electrons. When an electron is added to the atom, the number of electrons becomes five, while the number of protons remains at four. This results in a net negative charge on the atom, since the extra electron carries a negative charge.

Therefore, the overall charge of the atom after an electron is added is -1.

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The sound waves in front of the truck compared to the sound waves behind the truck  is using Doppler effect.

The prediction is correct.

The Doppler effect or Doppler shift is described as  the apparent change in frequency of a wave in relation to an observer moving relative to the wave source.

The apparent frequency heard by the listener differs from the frequency of the source of sound when there is relative motion between the source and listener.

The perceived frequency increases as the source and the listener go closer together, and it decreases as they get farther apart. It's called the Doppler effect.

The wave-fronts move closer as the source and listener approach closer to each other. Thus, the observed frequency is greater than the actual.

The pitch depends on frequency, greater is the pitch

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A wall less than or equal to 14.7 m in height is the highest the player can clear.

Use the kinematic equations of motion to solve the problem. First, we can find the time it takes for the ball to travel 99.1 m horizontally:

d = vt

t = d / v

t = 99.1 m / 36.2 m/s

t ≈ 2.74 s

Now, use the vertical motion equation to find the maximum height the ball reaches:

y = yo + vot + (1/2)at²

where:

yo = 0.996 m (initial height)

vo = v sinθ = 36.2 m/s x sin(30°) ≈ 18.1 m/s (initial vertical velocity)

a = -9.81 m/s² (acceleration due to gravity, pointing downward)

t = 2.74 s (time of flight)

y = 0.996 m + 18.1 m/s x 2.74 s + (1/2) x (-9.81 m/s²) x (2.74 s)²

y ≈ 14.7 m

Therefore, the tallest wall the player can clear is a wall with a height less than or equal to 14.7 m.

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Answer:

Pure water increases in volume when heated due to the phenomenon of thermal expansion. When water is heated, the kinetic energy of its molecules increases, causing them to move faster and spread out. This increased molecular movement leads to an increase in the average distance between water molecules, resulting in an expansion of the water.

Explanation:

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The moment of the weight of the 1.50 kg mass about the CG of the 5.00 kg object will be considered as part of the object.

The center of gravity of the additional 1.50 kg mass should be located 1.60 cm to the right of the current CG of the 5.00 kg object.

What is the moment ?

We can use the principle of moments to determine the location of the center of gravity of the additional 1.50 kg mass that needs to be glued on.

The principle of moments states that the sum of the moments of all the forces acting on an object is equal to the moment of the resultant force about any point. In this case, we can take moments about the current center of gravity (CG) of the 5.00 kg object to determine the location of the center of gravity of the additional 1.50 kg mass.

The moment of a force about a point is given by the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force. Since the gravitational force acting on the masses is the only force acting on the system, we can take moments of the weight of each mass about the CG of the 5.00 kg object.

The moment of the weight of the 5.00 kg object about its CG is zero, since the CG is the point about which the object is in rotational equilibrium. Therefore, we only need to consider the moment of the weight of the 1.50 kg mass about the CG of the 5.00 kg object.

The distance between the CG of the 5.00 kg object and the desired new CG is 1.60 cm to the left, so we need to find the distance between the current CG and the new CG. Let x be the distance from the current CG to the new CG.

The moment of the weight of the 1.50 kg mass about the current CG is:

(1.50 kg)(9.81 m/s²)(x) = 14.72x Nm

The moment of the weight of the 1.50 kg mass about the new CG is:

(1.50 kg)(9.81 m/s²)(1.60 cm + x) = 14.72x + 23.54 Ncm

Setting these two moments equal, we have:

14.72x Nm = 14.72x + 23.54 Ncm

Converting the units, we get:

0.1472x m = 0.2354 m

x = 1.60 cm (to two significant figures)

Therefore, the center of gravity of the additional 1.50 kg mass should be located 1.60 cm to the right of the current CG of the 5.00 kg object.

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The angular speed of the object when your hand has risen to a height of y = 0.73 m above the floor is approximately 26.83 radians/s.

What is Mass?

Mass is a fundamental property of matter that quantifies the amount of matter in an object. It is a scalar quantity that describes the resistance of an object to acceleration when subjected to an external force. The mass of an object is a measure of the total amount of material or substance that it contains, and it is usually expressed in kilograms (kg) or other appropriate units.

The final potential energy is given by:

PE_final = m * g * y_final

where y_final is the final height of the object above the floor.

Setting the initial mechanical energy equal to the final mechanical energy and rearranging the equation, we get:

g = 9.8 m/[tex]s^{2}[/tex] (acceleration due to gravity)

(1/2) * 0.02 * [tex](15)^{2}[/tex]^2 + 0.5 * 9.8 * 0.22 = (1/2) * 0.02 * [tex]w_final ^{2}[/tex] + 0.5 * 9.8 * 0.73

w_final = sqrt((2 * ((1/2) * 0.02 * (15)^2 + 0.5 * 9.8 * 0.22 - 0.5 * 9.8 * 0.73)) / 0.02)

Plugging in the given values and solving for w_final, we get:

w_final ≈ 26.83 radians/s (rounded to two decimal places)

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Electromagnetic induction is a phenomenon in physics that occurs when a varying magnetic field produces an electric current or voltage in a conductor. It was first discovered by Michael Faraday in the early 19th century and is now a fundamental principle of modern electrical technology.

When a conductor, such as a wire, is moved through a magnetic field, or when the magnetic field itself changes, a voltage is induced across the ends of the conductor. The magnitude of the induced voltage is proportional to the rate of change of the magnetic field and the number of turns of wire in the coil.

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If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of non infiltration will not  be formed. False.

If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of infiltration (or wetting) will be formed, as the liquid will spread out over the surface of the solid.

Non-infiltration is a phenomenon where a liquid is unable to wet or spread over the surface of a solid due to the strong adhesive force between the solid and liquid molecules. Instead of spreading out, the liquid will form droplets on the surface of the solid.

Non-infiltration is the opposite of infiltration (or wetting), where a liquid is able to spread over the surface of a solid due to a weak adhesive force.

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Answer:

Sound travels faster in liquids than in gases because molecules are more tightly packed. In fresh water, sound waves travel at 1,482 meters per second (about 3,315 mph). That's well over 4 times faster than in air!

Explanation:

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A circuit requires a complete loop through which an electric current can flow. Therefore, The correct answer is Option(D).

A battery provides the source of the electric potential difference, and insulated wires allow the current to flow from the battery to the buzzer. The buzzer completes the loop back to the battery. An open switch, such as in options A and B, would break the circuit and prevent the flow of electric current. A closed switch, such as in option C, would complete the circuit. However, option C does not provide a complete circuit with a source of electric potential difference, and therefore cannot create a sustained flow of electric current.

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Answer:

The force between the wires used to connect the battery of a car to the motor can be calculated using the equation F = I*L, where F is the force, I is the current, and L is the length of the wires. In this case, the force would be calculated as F = 200A * 0.15m = 30N.

The period (in second) of the 0.95 Kg mass, given that it has an amplitude of 0.21 m and an angular velocity of 9.5 rad/s is 0.66 second

From the question given above, the following data were obtained:

The period of the mass can be obtained as shown below:

ω = 2π/ T

9.5 = (2 × 3.14) / T

9.5 = 6.28 / T

Cross multiply

9.5 × T = 6.28

Divide both sides by 9.5

T = 6.28 / 9.5

T = 0.66 second

Thus, from the above calculation, we can conclude that the period of the mass is 0.66 second

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The force of buoyancy acting on the sample is 2.65 N.

If the sample's supporting string is cut, it will float to the surface of the water.

a. The buoyant force acting on the sample can be calculated using the formula Fb = ρVg, where ρ is the density of water, V is the volume of the submerged part of the sample, and g is the acceleration due to gravity. Since the sample is immersed in water, its volume is equal to the volume of water it displaces, which can be calculated using the formula V = l × w × h, where l, w, and h are the dimensions of the submerged part of the sample. Since the sample is cubical, all sides have the same length of 3.0 cm. Thus, the submerged part of the sample has a volume of V = 3.0 cm × 3.0 cm × 3.0 cm = 27.0 cm³ = 0.027 m³. The density of water is ρ = 1000 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². Therefore, the buoyant force acting on the sample is:

Fb = ρVg = 1000 kg/m³ × 0.027 m³ × 9.81 m/s² ≈ 2.65 N

b. The sample will float to the surface of the water if its supporting string is cut. This is because the buoyant force acting on the sample is greater than its weight, which means that there is a net upward force on the sample. This net force causes the sample to accelerate upward, and it will continue to accelerate until it reaches the surface of the water. At the surface, the upward force is balanced by the weight of the sample, and it will float on the water.

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Complete question:

2. Suppose the metal sample in Figure 10.2 is immersed in water, is cubical with side 3.0 cm, and has a mass of 54 g. a. Calculate the buoyant force acting on the sample. b. Describe the behavior of the sample if its supporting string is cut. Explain how you arrive at your answer. balance arm water metal sample water overflow can beaker Figure 10.2 MEASUREMENTS