A mass of a spring vibrates in simple harmonic motion at a frequency of 8.0 Hz and an amplitude of 3.9 cm. If a timer is started with its displacement is a maximum, what is the speed of the mass when the timer reads 3 seconds

Answer:O2 & C6H12O6

Explanation:

C6H12O6 + 6O2-> 6CO2 + 6H2O

O2 and C6H12O6 molecules' chemical connections are disrupted.

         C6H12O6 + 6O2-> 6CO2 + 6H2O

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The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.

The gauge pressure in the balloon is the pressure inside the balloon due to the water columns relative to the atmospheric pressure.

The gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is calculated as follows;

P = ρgΔh

P = (1,000)(9.8)(0.0171)

P = 167.58 Pa

Thus, the gauge pressure in the balloon as indicated by a difference of 0.0171 m in the heights of the water columns is 167.58 Pa.

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Answer:

0.3 newtons

Explanation:

If the coefficient of kinetic friction between a crate and the floor is 0.20, then the fore needed to slide a 92 kg crate uniformly across the floor would be 180.504 N

Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.

The friction force prevents any two surfaces of objects from easily sliding over each other or slipping across one another. It depends upon the force applied to the object.

As given in the problem If the coefficient of kinetic friction between a crate and the floor is 0.20

The force needed = μN

where μ is the coefficient of the kinetic friction

μ =0.2

N is the normal force

N = mg

N = 92×9.81 N

Force needed to slide = 0.20× 92×9.81

                                     =180.504 N

Thus, The force needed to slide a 92 kg crate uniformly across the floor would be 180.504 N

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Answer:

The period of this pendulum is \(T=1.55\: s\)

Explanation:

The equation of motion of a pendulum is given by:

\(\frac{d\theta^{2}}{dt^{2}}+\frac{g}{L}sin(\theta)=0\) (1)

Where:

θ is the angle of motion

g is the gravity at the earth surface (9.81 m/s²)

L is the length of the pendulum (0.6 m)

Now, using equation (1) we can find the square angular frequency (ω), it will be:

\(\omega^{2}=\frac{g}{L}\)

\(\omega=\sqrt{\frac{g}{L}}\)

Let's recall that the angular frequency is \(\omega=\frac{2\pi}{T}\), then the period will be:

\(T=\frac{2\pi}{\omega}\)  

\(T={2\pi}\sqrt{\frac{L}{g}\)

\(T=2\pi}\sqrt{\frac{0.6}{9.81}\)

Therefore, the period of this pendulum is \(T=1.55\: s\)

I hope it helps you!

The electric field due to a point charge of 20uC at a distance of 1 meter away from it is 180000 \(\frac{N}{C}\).

First, you have to know that the space surrounding a load suffers some kind of disturbance, since a load located in that space will suffer a force. The disturbance that this charge creates around it is called an electric field.

In other words, an electric field exists in a certain region of space if, when introducing a charge called witness charge or test charge, it undergoes the action of an electric force.

The electric field E created by the point charge q at any point P, located at a distance r, is defined as:

\(E=K\frac{q}{r^{2} }\)

where K is the constant of Coulomb's law.

In this case, you know:

Replacing in the definition of electric field:

\(E=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{20x10^{-6} C}{(1 m)^{2} }\)

Solving:

E=180000 \(\frac{N}{C}\)

Finally, the electric field due to a point charge of 20uC at a distance of 1 meter away from it is 180000 \(\frac{N}{C}\).

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Answer:

If the force goes in the direction of movement, the speed must increase and if the net force goes in the opposite direction, the speed must decrease.

Explanation:

The principle of inertia or Newton's first law states that every body remains static or with constant velocity if there is no net force acting on it.

Based on this principle, if we have a net force, the velocity of the body changes by having an unbalanced force acting.

If the force goes in the direction of movement, the speed must increase and if the net force goes in the opposite direction, the speed must decrease.

Answer:

2 * 10^5 pa

Explanation:

Pressure = Force / Area

Each thigh bone has a cross sectional area of 10cm²

Both thigh bones :

2 * 10cm² = 20cm²

To m² : 20 * (0.01)²

20 * 0.0001 m² = 0.002 m²

Force = mass * acceleration due to gravity(g)

g = 10m/s² ;

Force = 40 * 10 = 400N

Pressure = 400 N / 0.002 m²

Pressure = 200,000 N/m² = 2 * 10^5 pascal

Answer:

22 s

Explanation:

time = distance / velocity

We know that distance = 770 m and velocity = 35 m/s.

t = d / v

t = 770 m / 35 m/s

t = 22 s

It takes 22 seconds to cover 770 m. Hope this helps, thank you !!

Answer:

Explanation:

I don't think so. Think about it. To compress the volume by a factor of 2 it takes 956 Joules.

Now you come along and you want to get the pressure for 1/12 of the volume. It's going to take a huge pressure to do that.

I would suggest that you have to use a modified form of the formula.

PV = 956

You need to compress the volume by 1/6

P(V/6) = 956

6 * PV/6 = 6 * 956

PV = 5736 J

Why did I only take 1/6? Because. 956 represents the pressure needed for 1/2 the volume. You need to multiply 1/2 * 1/6 to get 1/12

The voltage in the circuit is 338 Volts.

Ohm's law states that the voltage (V) in a circuit is equal to the current (I) multiplied by the resistance (R): V = I x R.

1. Identify the given values: In this problem, we are given the current (I) and resistance (R) in the circuit.

2. Recall Ohm's law:  V = I x R.

3. Substitute the given values: We can substitute the given values of current (I = 13A) and resistance (R = 26 Ohm) into Ohm's law to find the voltage (V).

4. Calculate the voltage: Using the equation V = I x R and substituting the values of current and resistance, we can calculate the voltage as V = 13A x 26 Ohm = 338 Volts.

Therefore,  The voltage in the circuit is 338 Volts.

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Answer:

The speed of a wave is equal to the wavelength divided by the period. The wavelength is the distance between two consecutive nodes, and the period is the time it takes for one complete cycle of the wave.

In this case, the wavelength is 6 m and the period is 0.2 s. Therefore, the speed of the wave is 30 m/s.

The answer is 30 m/s.

Explanation:

The total work done is  5980 Joules and the power expended is 57 Watts.

The work done is the work done in the gravitational field as the bucket is raised up Thus work required to remove the bucket Wb;

Wb = 13.9 kg * 25.9 m * 9.8 m/s^2 = 3530 Joules

Height of the center of mass of chain = 25.9 / 2 = 12.95 m  

Work done by the chain Wc;

Wc = 12.95 * 19.3 * 9.8 = 2450 Joules  

Total work = 3530 + 2450 = 5980 Joules

Power expended = W / t = 5980 J / 105 sec = 57 J/s = 57 Watts

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Below are the required answers and explanations for each of the scenarios listed.

1. A machine that pulls all thermal energy out of a refrigerated space: This violates the second law of thermodynamics. This is because the second law of thermodynamics states that no heat engine can have an efficiency of 100 percent, and no heat transfer can occur from a colder to a warmer object without external work being done.

2. A machine that can pull 1000J of heat out of a refrigerated space and into a warmer space without external work: This violates the second law of thermodynamics. The second law of thermodynamics states that no heat transfer can occur from a colder to a warmer object without external work being done.

3. A machine that can turn 1000J of heat directly into 1000J of electricity: This does not violate any of the laws of thermodynamics.

4. A machine that can create 1000J of heat from 100J of electricity: This does not violate any of the laws of thermodynamics.

5. A machine that can pull 1000J of heat out of a refrigerated space and put 1500J of heat into a warmer space if it uses 500J of external work: This does not violate any of the laws of thermodynamics.

a) Option 2 is correct answer.

b) Option  2 is correct answer.

c) Option 4 is correct answer.

d) Option 4 is correct answer

e) Option 4 is correct answer.

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The net force acting on the skier is 76.4 N

The net force acting on the steel beam is 10 N.

The net force acting on the treasure chest is 5 N.

a) Angle of inclination of the inclined plane, θ = 15°

Weight of the skier, W = 490 N

Normal force acting on the skier, N = 473 N

Force of friction acting on the skier, f = 50 N

The net force acting on the skier is,

F = W sinθ - f

F = (490 x sin 15°) - 50

F = (490 x 0.258) - 50

F = 126.42 - 50

F = 76.42 N

b) The upward force acting on the steel beam, F = 80 N

Weight of the steel beam, W = 70 N

The net force acting on the steel beam,

F' = F - W

F' = 80 - 70

F' = 10 N

The net force is acting upwards.

c) Force acting on the treasure chest towards north, F₁ = 10 N

Force acting towards the west, F₂ = 4 N

Force acting towards the south, F₃ = 13 N

The resultant force of F₁ and F₃ is,

F₄ = F₃ - F₁

F₄ = 13 - 10

F₄ = 3 N

Therefore, the net force acting on the treasure chest is the resultant of F₂ and F₄.

So, the net force,

F = √(F₂² + F₄²)

F = √(3² + 4²)

F = √25

F = 5 N

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Answer:

Explanation:

The process can be broken down into two steps:

Heat required to raise the temperature of ice from -20°C to 0°C.

Heat required to melt ice at 0°C and raise the temperature of water from 0°C to 10°C.

Step 1:

The heat required to raise the temperature of ice can be calculated using the specific heat capacity of ice, which is 2.09 J/g°C.

Heat required = mass × specific heat capacity × change in temperature

Heat required = 10 g × 2.09 J/g°C × (0°C - (-20°C))

Heat required = 418 J

Step 2:

The heat required to melt ice and raise the temperature of water can be calculated using the heat of fusion of ice and the specific heat capacity of water.

Heat required to melt ice = mass × heat of fusion of ice

Heat required to melt ice = 10 g × 334 J/g

Heat required to melt ice = 3340 J

Heat required to raise the temperature of water can be calculated using the specific heat capacity of water, which is 4.18 J/g°C.

Heat required = mass × specific heat capacity × change in temperature

Heat required = 10 g × 4.18 J/g°C × (10°C - 0°C)

Heat required = 418 J

Total heat required = Heat required in Step 1 + Heat required to melt ice + Heat required in Step 2

Total heat required = 418 J + 3340 J + 418 J

Total heat required = 4176 J

Therefore, 4176 J of heat is required to change 10 g of ice at -20°C into water at 10°C.

Answer:

b. positive

Explanation:

A negatively charged object A has excess electron while uncharged object B is neutral, i.e equal number of electrons and protons.

When the negatively charged object A is brought in contact with the neutral object B, the electrons present in object B will be repelled (likes charges repel). This process will leave object B with excess protons, thus object B will positively charged.

The correct option is "B"

Answer:

BOTH the size of the force AND the mass of the object

Explanation:

Acceleration of an object is the rate of change of its velocity.

The relation between force, mass and acceleration is given by the formula as follows :

F = ma

m is mass

a is acceleration

It would mean that the change in motion or the acceleration of an object depends on both the size of the force and the mass of the object. Hence, the correct option is (c).

Answer:

\(a=20\ m/s^2\)

Explanation:

Given that,

Initial speed, u = 0

Final speed, v = 40 m/s

Time, t = 2 s

We need to find the acceleration of the aircraft. We know that, acceleration is equal to the rate of change of velocity. So,

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{40-0}{2}\\\\=20\ m/s^2\)

So, the acceleration of the aircraft is \(20\ m/s^2\).

(a) The angular speed of the rod, when it lands on the horizontal surface is 1.61 rad/s.

(b) The the angular acceleration of the rod, just before it touches the horizontal surface is 1.06 rad/s² .

The angular acceleration of the rod is calculated as follows;

Apply the principle of conservation of angular momentum;

τ = Iα

where;

τ = Fr = mg(L/2) cosθ

I = mL²/3

mg(L/2) cosθ =  mL²/3(α)

g(1/2) cosθ =  L/3(α)

(³/₂)g cosθ  = L(α)

(³/₂ L)g cosθ  = α

1.5Lg cosθ  = α

1.5(2.1) cos (70.4) = α

1.06 rad/s² = α

ωf² = ω₁² + 2αθ

ωf² = 0 + 2(1.06)(70.4π/180)

ωf² = 2.605

ωf = √2.605

ωf = 1.61 rad/s

Thus, the angular speed of the rod, when it lands on the horizontal surface is 1.61 rad/s.

The the angular acceleration of the rod, just before it touches the horizontal surface is 1.06 rad/s² .

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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Interpolation refers to determining a value within an established dataset. In the context of the spring stretch experiment, the value 'Force = 4.4 N, stretch = 7.9 cm' is considered an interpolated value as it falls within the used force range (0N to 5N). The other values are either used in the experiment or extrapolations.

In this context, interpolation refers to the process of determining a value within an existing data set or between two known values. In your given data for the spring stretch experiment, the force values used in the experiment range from 0N to 5N. As such, an interpolated value would need to fall within this range.

Given that, the value Force = 4.4 N, stretch = 7.9 cm would be considered an interpolation because it falls within the known values used in the experiment. The rest of the options are either values used in the experiment (0 N, 3 N) or extrapolation (5.2 N) as they are outside of the range of force investigated.

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Considering the values from the experiment, the interpolated value between the known points on the graph is 'Force = 4.4 N, stretch = 7.9 cm', since it falls within the range of given values.

In the context of this laboratory experiment, interpolation refers to predicting a value within a range of known values. From the given points plotted on the graph, the values of force range from 0 N to 5 N, and the corresponding stretch ranges from 0 cm to 9.1 cm. Looking at the listed options, the value Force = 4.4 N, stretch = 7.9 cm falls within these known ranges of both force and stretch, thereby qualifying as an interpolation.

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Explanation:

Density = mass / volume

ρ = 5.7 g / 0.3 mL

ρ = 19 g/mL

Yes, it's pure gold.

Yes, it's pure gold.

According to the question:

Density = mass / volume.

ρ = 5.7 g / 0.3 mL.

ρ = 19 g/mL.

Hence, Yes it's pure gold.

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Considering the Coulomb's Law, the force between the two ballons is 9.216×10⁻⁸ N.

Charged bodies experience a force of attraction or repulsion on approach.

From Coulomb's Law it is possible to predict what the electrostatic force of attraction or repulsion between two particles will be according to their electric charge and the distance between them.

From Coulomb's Law, the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them:

\(F=k\frac{Qq}{d^{2} }\)

where:

The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.

In this case, you know that two balloons have a negative charge of 1.6×10⁻¹⁰ C and the balloons are 0.05 m apart.

Replacing in the Coulomb's Law, you get:

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} } \frac{(-1.6x10^{-10} C)x(-1.6x10^{-10} C)}{(0.05 m)^{2} }\)

Solving:

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} } \frac{2.56x10^{-20} C^{2} }{(0.05 m)^{2} }\)

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} } 1.024x10^{-17}\frac{ C^{2} }{m^{2} }\)

F= 9.216×10⁻⁸ N

Finally, the force between the two ballons is 9.216×10⁻⁸ N.

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Answer:

hello me

Explanation:

help me thisanswer

every atom has at least one free electron.

Because the free electrons in metals are not bound to the atoms, they are free to flow between the atoms.

Due to the size of metals' lattice structures, there are many electrostatic forces.

The size of broken is enormous.

because the delocalized electrons in them cause the metal to conduct electrical charge.

related to its temperature

Iron 9.70×10−8 1.03×107

Because at least one electron per atom is free, metals are effective heat and electricity conductors.

Free electrons that are not bound to the atoms exist in metals. These electrons are unrestricted in the metal, interacting with the metal atoms to effectively transmit heat to them. As a result, metals are superior heat conductors than the majority of other materials.

By allowing free electrons to travel between the atoms, metals conduct electricity.

Metals have high melting and boiling temperatures because they have massive lattice structures and must break a huge number of electrostatic forces.

Because of their delocalized electrons, which transmit electrical charge through the metal, metals are electrical conductors, and their structure and bonding explains these characteristics.

According to the Wiedemann-Franz law, a metal's temperature directly affects how much thermal conductivity there is compared to electrical conductivity.

These eight electrons are the reason why iron metal has a high electrical conductivity.

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Answer:

c.electrical to mechanical

Explanation:

a) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR).

An electric field is a physical field created by the presence of electric charge. It is an invisible force that can act on any other charged particles in its vicinity. Electric fields are generated by electric charges, or by time-varying magnetic fields.

The direction of the electric field is towards the center of the semicircle. This can be seen from the fact that the electric field is generated by the line of positive charge, thus pointing inwards.
b) The total force on the particle with negative charge -q placed at the center of the semicircle is given by F = -qE. Thus, the total force on the particle is given by F = -qXo/(2πR).
c) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR) cose. Here, cose is the cosine of the angle between the line of charge and the position of the particle. The direction of the electric field is still towards the center of the semicircle.
Bonus: If the semicircle has a total charge Q, the magnitude of the electric field at the center of the semicircle is given by E = Q/(2πR). The direction of the electric field is still towards the center of the semicircle.

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Answer:

c

velocity gradient is dimensionally represented as [M^0 L^0 T^-1)