which of the three curves show the speed of an object that is beginning to experience significant air resistance?

The flea's initial velocity while jumping straight up is 2.96 m/s.

The rate at which in displacement is known as velocity. Acceleration is the measure of a change in velocity. Due to the fact that it includes both magnitude and direction, velocity is an vector quantity. Acceleration is a vector quantity because it is the speed at which velocity varies.

v² = u² – 2gh (since the ball is going against gravity)

0² = u² – (2 × 9.8 × 0.45)

0 = u² – 8.82

u² = 0 +8.82

u² = 8.82

u = √8.82

u = 2.96m/s

Thus, the initial velocity is 2.96m/s

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The frequency of the original sine wave is 247.6 Hz.

The time difference between the identical points inside the wave cycles of the two sounds (the peaks or positive-going zero crossings, for example) represented as a fraction of one wave cycle gives the phase difference between two sound waves of the same frequency travelling past a fixed location.

The phase difference between two signals recorded by two microphones at a given frequency is directly proportional to the difference in their distances from the source.

If the distance difference is d, and the speed of sound is v, then the phase difference between the two signals is given by:

[tex]$$\Delta\phi = 2\pi \frac{f}{v} d$$[/tex]

where f is the frequency of the original sine wave.

Given that the recorded sine waves have a phase offset of 155 degrees,

we can write:

[tex]$$\Delta\phi = 155^\circ = 2\pi \frac{f}{v} d$$[/tex]

Solving for f, we find:

[tex]f = \frac{v}{2\pi} \frac{\Delta\phi}{d} \\\\= \frac{1,126 \text{ ft/s}}{2\pi} \frac{155^\circ}{3.0 \text{ ft}} \\\\= 247.6 \text{ Hz}[/tex]

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The resistance of connecting wires in a series circuit is generally additive. This means that the total resistance of the circuit is equal to the sum of the individual resistances of each wire in the circuit.

A series circuit is an electrical circuit in which components are connected end-to-end along a single pathway. In a series circuit, the current flows through each component in sequence and must flow through all components to complete the circuit. The current is the same through each component and the total resistance of the circuit is equal to the sum of the resistances of the individual components.

One of the key characteristics of a series circuit is that if one component fails, the entire circuit will be disrupted. This means that a single component failure can render the entire circuit inoperable. It is for this reason that series circuits are generally not used in critical applications, as the failure of a single component can result in a complete circuit failure.

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If you weigh 700 n on the earth, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.

To calculate the weight on the surface of a neutron star:

W = m * g

Here, it is given that:

Weight on Earth (W) = 700 N

Mass of the Sun (M) = 1.989 × 10³⁰ kg

Diameter of the neutron star (D) = 20,000 m

The mass (m) can be calculated using the formula:

m = W / g

Substituting the given values:

m = 700 N / 9.8 m/s²

≈ 71.43 kg

Now, we can calculate the acceleration due to gravity (g) on the surface of the neutron star using the formula:

g = G * (M / R²)

Since the diameter is given, we can calculate the radius (R) using:

R = D / 2

Substituting the values:

R = 20,000 m / 2 = 10,000 m

Now we can calculate g:

g = (6.67430 × 10⁻¹¹ N m²/kg²) * [(1.989 × 10³⁰ kg) / (10,000 m)²]

≈ 1.325 × 10¹² m/s²

Finally, we can calculate the weight on the surface of the neutron star (W'):

W' = m * g

≈ (71.43 kg) * (1.325 × 10¹² m/s²)

≈ 9.47 × 10¹³ N

Thus, your weight on the surface of the neutron star would be approximately 9.47 × 10¹³ N.

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Sara must climb approximately 7000 stairs to cancel out the 513-calorie breakfast she consumed.

First, we need to convert the number of calories consumed (513 kcal) into units of energy in joules.

1 kcal = 4184 J

So, 513 kcal = 513 * 4184 J = 2143172 J

Next, we need to determine the work done by Sara in climbing stairs, which is given by the equation:

W = m * g * h

Where W is the work done, m is Sara's mass (69.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the stairs (12.0 cm converted to meters).

h = 12.0 cm = 0.12 m

So, the work done by Sara in climbing one stair is:

W = 69.0 kg * 9.8 m/s^2 * 0.12 m = 822.56 J

Since the efficiency of Sara's body in converting chemical energy to mechanical energy is only 33%, the number of stairs she needs to climb to cancel out the calories consumed can be calculated as follows:

n = 2143172 J / (822.56 J / 33%)

= 2143172 / (822.56 * 0.33)

= 6999 stairs      (approximately 7000 stairs)

Mechanical energy is the sum of kinetic energy and potential energy in a mechanical system. It refers to the energy associated with the motion and position of an object. Kinetic energy is the energy an object possesses due to its motion, while potential energy is the energy stored within an object due to its position relative to other objects.

Mechanical energy can be transferred from one object to another, for example, when two objects collide. It can also be transformed from one form of energy to another, such as when a roller coaster car converts potential energy into kinetic energy as it moves downhill.

Conservation of mechanical energy states that in a closed system, the total mechanical energy remains constant as long as no external forces are acting upon the system. This principle is commonly used in physics to understand the behavior of physical systems and to solve problems related to energy and motion.

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