In another version of the "Giant Swing", the seat is connected to two cables as shown in the figure (Figure ), one of which is horizontal. The seat swings in a horizontal circle at a rate of 39.3 rev / m * i * n

If the seat weighs 268 N and a 896-N person is sitting in it, find the tension in the horizontal cable

If the seat weighs 268 N and a 896-N person is sitting in it, find the tension in the inclined cable

The velocity of the autographed baseball before it fell off the table is 1.89 m/s

We'll begin by obtainig the time taken for the autographed baseball to strike the floor. This can be obtained as follow:

h = ½gt²

1.4 = ½ × 9.8 × t²

1.4 = 4.9 × t²

Divide both side by 4.9

t² = 1.4 / 4.9

Take the square root of both side

t = √(1.4 / 4.9)

t = 0.53 s

The initial velocity of the ball can be obatined as illustrated below:

s = ut

1 = u × 0.53

Divide both sides by 0.53

u = 1 / 0.53

u = 1.89 m/s

Thus, we can conclude that the velocity of the ball before it fell off the table is 1.89 m/s

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Answer:

It is independent variable

Explanation:

Answer:

D!!!!!

Explanation:

edge 2021!

Answer:

Explanation:

Please follow the directions here and draw out the answer yourself.

Draw two arrows of the same length. Both start on the dot but one points up and the other points down.

Label the up arrow as "Air resistance" and the down arrow as "Weight, Me*g". Make sure the two arrows have the same length and are directly opposite each other.

The free-response to the question based on the given diagram is:

This refers to the apparatus or equipment that is used to help a person to descend slowly from a high altitude.

Hence, given that a block of mass is attached to a parachute and while descending, it encounters air resistance, then to show the relative length of all vectors:

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Answer:

To determine the maximum speed that the 8.3 kg mass can have without breaking the string, we need to consider the tension in the string when it reaches its maximum. At maximum speed, the tension in the string will be equal to the breaking strength of the string.

Given:

Mass (m) = 8.3 kg

Breaking strength of the string (Tension) = 1500 N

Radius of the circle (r) = 80 cm = 0.8 m

The centripetal force required to keep an object moving in a circular path is given by the formula:

F = m * v² / r

Where:

F = Centripetal force

m = Mass

v = Velocity

r = Radius

In this case, the centripetal force is provided by the tension in the string. So we have:

Tension = m * v² / r

Plugging in the values:

1500 N = (8.3 kg) * v² / 0.8 m

To find the maximum speed (v), we can rearrange the equation and solve for it:

v² = (1500 N * 0.8 m) / 8.3 kg

v² ≈ 144.58 m²/s²

v ≈ √(144.58 m²/s²)

v ≈ 12.03 m/s

Therefore, the maximum speed that the 8.3 kg mass can have without breaking the string is approximately 12.03 m/s.

Explanation:

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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The pattern of lines of force around two positive charges separated from each other demonstrates the repulsive nature of like charges and the direction and strength of the electric field between them.

When two positive charges are separated from each other, the lines of force (also known as electric field lines) originate from one positive charge and terminate on the other positive charge. The lines of force follow a pattern that reflects the repulsion between the positive charges.

Here's a verbal description of the pattern:

From each positive charge, the lines of force radiate outward in all directions.

The lines of force are evenly spaced and radially symmetric around each charge, indicating that the electric field strength is the same at all points along a given line.

As the lines of force move away from each charge, they curve away from each other, reflecting the repulsion between the positive charges.

The density of lines of force is higher near the charges and decreases as they move further apart.

The lines of force never cross each other, maintaining their continuous and unbroken nature.

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Answer:

The second chart seems to be correct

Explanation:

ANSWERS

(a) 3.58 x 10⁶ N/m

(b) 5.8 x 10⁶ J

EXPLANATION

Given:

• The mass of the object hanging from the spring, m = 4.00 x 10⁵ kg

Find:

• (a), The force constant the springs should have to make the object oscillate with a period of 2.10 s

• (b), The energy stored in the springs for a 1.80 m displacement from equilibrium.

(a) The period of an object in a spring is,

Where m is the mass of the object and k is the spring constant.

We want to find k for T = 2.10 s, so we have to solve this equation for k, which gives us,

Replace the known values and solve,

Hence, the force constant is 3.58 x 10⁶ N/m.

(b) The energy stored in a spring with force constant k when the mass is displaced x meters from equilibrium is,

Replace the known values and solve to find the energy stored in this spring,

Hence, the energy stored in the spring for a 1.80 m displacement from equilibrium is 5.8 x 10⁶ J.

As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.

Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.

Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum

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Answer:

10.1

3.5

40.25

4.8

70

4.5

10.2

80

101.25

330. respectively

Answer:

speed

Explanation:

The wave equation says that a waves speed is equal to its wavelength times is frequency.

Answer:

Electrons are the negatively charged particles of atom. Together, all of the electrons of an atom create a negative charge that balances the positive charge of the protons in the atomic nucleus. Electrons are extremely small compared to all of the other parts of the atom.

Explanation:

Answer:

negative

Explanation:

electrons=negative particle

The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

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The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.

The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.

Initially, the capacitor is uncharged, so the second term is zero.

Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.

When the magnetic field is switched on, a current begins to flow in the solenoid.

This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.

Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.

The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.

Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.

This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.

The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)

The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)

The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)

This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.

The solution is t = 1.74 ms.

The units are in seconds.

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The object's final velocity, given the data is 10.5 rad/s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

The following data were obtained from the question

The final velocity can be obtained as follow:

a = (v – u) / t

0.75 = (v – 1.5) / 12

Cross multiply

v – 1.5 = 0.75 × 12

v – 1.5 = 9

Collect like terms

v = 9 + 1.5

v = 10.5 rad/s

Thus, the final velocity of the object is 10.5 rad/s

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The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

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A. The overpressure at the bottom of the tank is 297500 N/m².

B. The magnitude of the net force acting on the square access hatch at the bottom of the tank is 107100 N.

Multiplying the flow rate by the minimum operating time of the pump gives the descending capacity. As a rule of thumb for a minimum run time, a pump operating at 10 gallons per minute GPM or less should produce a run time of 1 gallon per minute. For example, 10 GPM flow rate x 1 = 10 gallon drawdown capacity.

This means that the gauge pressure is equal to the absolute pressure minus the atmospheric ambient pressure. If the absolute pressure is greater than the atmospheric pressure it is called positive overpressure. If the absolute pressure is lower than atmospheric pressure it is called negative overpressure. The hydrostatic pressure at any height below water is calculated by P = hdg. where h is the height below open water.

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The acceleration can be calculated using the formula:

Acceleration = (Final velocity - Initial velocity) / Time taken

Given that the bus starts from rest, the initial velocity is 0 m/s.

Acceleration = (20 m/s - 0 m/s) / 21 sec = 20/21 m/s².

The distance travelled at maximum speed can be calculated by subtracting the distances covered during acceleration and deceleration from the total distance.

Distance during acceleration = (1/2) * acceleration * time² = (1/2) * (20/21 m/s²) * (21 sec)² = 210 m.

Distance during deceleration is the same as distance during acceleration.

Distance travelled at maximum speed = Total distance - 2 * distance during acceleration = 270 m - 2 * 210 m = -150 m.

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Answer:

leap year

Explanation:

The relative magnitude of the third charge would be greater than the other two charges.

This is because the system needs to be in equilibrium, and the forces on each of the particles need to balance out. Since two of the charges are equal and the equilibrium arrangement is such that they are 90° apart, this would mean that the repulsive force that they exert on each other is greater than if they were 120° apart.

Therefore, since their repulsive forces are greater, the magnitude of the third charge needs to be greater in order to balance out the repulsive forces of the two equal charges. This is because the third charge needs to exert a greater attractive force on the two equal charges in order to offset the greater repulsive force that they exert on each other.

Thus, the relative magnitude of the third charge needs to be greater than the other two charges in order to maintain equilibrium.

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Answer:

4 ft/s^2

Explanation:

If the velocity is 8ft/s after 2s then to find the acceleration you would use the formula:

\(\frac{v_f - v_{i} {}}{t} =a\)

sooooooooo

\(\frac{8 ft/s - 0 ft/s }{2 s} = \frac{8 ft/s }{2 s} = 4 ft/s^{2}\)

A runner starts from rest and attains a speed of 8.00ft/s after 2.00s. The runner's acceleration obtained is 4.00 ft/s².

Given:

Final velocity (v) = 8.00 ft/s

Initial velocity (u) = 0 ft/s (starting from rest)

Time (t) = 2.00 s

Acceleration (a) can be calculated using the formula:

Acceleration (a) = Change in velocity / Time

Change in velocity = Final velocity - Initial velocity

Substitute the values:

Change in velocity = 8.00 - 0

Change in velocity  = 8.00 ft/s

The acceleration is calculated as:

Acceleration (a) = Change in velocity / Time

Acceleration (a) = 8.00 / 2.00

Acceleration (a) = 4.00 ft/s²

Hence, the runner's acceleration is 4.00 ft/s².

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Answer:

The answer is "\(55.05 \ \frac{J}{K}\)"

Explanation:

Given value:

\(Q_m=4.184 \times 10^3 \ J\\T_0=100^{\circ}\\T_1=24^{\circ}\)

Calculating the heat capacity of this chunk of metal:

Using formula:

\(C_m=\frac{Q_m}{T_0-T_1}\\\)  

      \(=\frac{4.184 \times 10^3}{100 -24}\\\\=\frac{4.184 \times 10^3}{76}\\\\=55.05 \ \frac{J}{K}\)

Answer:

Due to its larger size

Explanation:

This is due to those planets being much larger than Earth. The larger a planet is, the more gravity that planet has, since gravity is mainly calculated based on the mass and radius of the planet. Also since the pressure deep inside of the planet depends mainly on the gravity of that planet on the surface, this is calculated as the square of the planet's surface gravity. Ultimately, the bigger the planet is the higher the pressure deep inside the planet will be.

Answer:

The stability of isotopes is affected by the ratio of protons to neutrons and also by the presence of certain “magic” numbers of protons or neutrons that represent closed and filled quantum shells. These quantum shells correspond to the shell model of the nucleus. Filled shells confer unusual stability on a nuclide. A magic number for the atomic number (with filled shells) tends to increase the number of stable isotopes of an element.

Explanation:

Answer:

Q = C M ΔT     (C = spec. heat, M = mass, ΔT = change in abs temp)

Q = 1 cal/gm-deg C * 30 gm * (50 - 20) deg C = 900 cal

Due to the body is a blackbody e=1

This is the rate of energy over time that this star radiates

Answer:

Earth have a liquid water supply and Mars does not because of the difference in their magnetic fields. Therefore the option B is correct.

Explanation:

The atmosphere of Earth is shielded from solar winds and radiation by a potent magnetic field, which keeps the atmosphere from being torn away. This enables water to remain liquid on the surface of the planet.

Mars, in contrast, has a weaker magnetic field, which results in a thinner atmosphere that is unable to support liquid water. Mars is hence more colder and drier than Earth.

One of the main reasons that Mars has no life as we know it is because it lacks a magnetic field, whereas the magnetic field of Earth is crucial in fostering the conditions necessary for life to flourish.

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