In the equation for newton’s second law, what does fnet stand for?.

Answer:

D

Explanation:

D

The general solution is y(t) = c1t + c2t ln(t) - (1/3)ln(t), where c1 and c2 are arbitrary constants.

To find the general solution of the differential equation\(t^2\)y'' + 3ty' + y = ln(t), where t > 0, we can use the method of variation of parameters.

First, we find the complementary solution by solving the associated homogeneous equation\(t^2\)y'' + 3ty' + y = 0. This equation can be rewritten as \(t^2\)y'' + 3ty' + ty' + y = 0, and factoring out y' gives t(ty')' + (ty)' = 0. Integrating this equation, we obtain ty' + ty = c1, where c1 is a constant.

Now, we assume the particular solution as y_p = u(t)y1 + v(t)y2, where y1 and y2 are linearly independent solutions of the homogeneous equation. Differentiating y_p twice and substituting it into the original equation, we can solve for u'(t) and v'(t) using the formulas:

u'(t) = -(y2 ln(t))/(W(t)y1)

v'(t) = (y1 ln(t))/(W(t)y2)

Here, W(t) is the Wronskian of y1 and y2. After integrating u'(t) and v'(t), we can substitute the obtained expressions back into the particular solution equation to find the general solution.

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The magnitude of acceleration of object A be 10226.93 m/s^2.

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

Given parameters:

Let, Mass of object A be = m kg.

Mass of object B be= M =  4.21 x 10^21 kg.

Distance between the two objects = r = 5.24 x 10^3 m.

G = 6.67 x 10^-11 N (m/kg) ^2.

So, attraction force acting on object A be: F = GMm/r²

Hence, acceleration of object A be = F/m = GM/r².

After putting the given numerical values , we get:

acceleration of object A be = 10226.93 m/s^2

Hence, acceleration of object A be  10226.93 m/s^2.

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The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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Answer:

136.63 ml

Explanation:

Answer:

149 N

Explanation:

We can start by resolving the forces acting on the chair in the vertical direction:

N - mg = 0

where N is the normal force exerted by the floor on the chair, m is the mass of the chair, and g is the acceleration due to gravity.

Since the chair is not accelerating vertically, we know that the sum of the forces in the vertical direction is zero.

Now, let's resolve the forces acting on the chair in the horizontal direction. We'll use the force you applied and the force of friction between the chair and the floor:

F - f = ma

where a is the acceleration of the chair, and f is the force of friction.

The force of friction can be calculated as:

f = μN

where μ is the coefficient of friction between the chair and the floor.

We don't know the coefficient of friction or the acceleration of the chair, so we can't solve this equation directly. However, we can use the fact that the chair is sliding along the floor, which tells us that the force of friction is equal and opposite to the force you applied:

f = F sinθ = 39.0 N * sin(36.0°) ≈ 23.5 N

Therefore, we can substitute this value for f in the horizontal force equation:

F - f = ma

39.0 N * cos(36.0°) - 23.5 N = ma

Solving for a, we get:

a ≈ 0.34 m/s^2

Now we can go back to the vertical force equation and solve for the normal force:

N - mg = 0

N = mg = (110 N) + (m chair)(a)

We don't know the mass of the chair, but we can use the acceleration we just calculated to find it:

a = F/(m chair)

m chair = F/a ≈ 115 kg

Substituting this value for the mass of the chair, we get:

N = mg = (110 N) + (115 kg)(0.34 m/s^2)

N ≈ 149 N

Therefore, the normal force that the floor exerts on the chair is approximately 149 N.

The motion map could represent a situation in which a car is accelerating to the right, then slowing down, and then speeding up again.

What is the motion ?

Motion is the action or process of moving or being moved from one place to another. It is a fundamental concept in physics that describes a change in position over time. Motion can be explained with the use of Newton's laws of motion and can be mathematically described by equations of motion. Motion can be observed in everyday life, such as the motion of a car, a ball falling to the ground, and the motion of a pendulum. Motion is an integral part of many scientific fields, including physics, chemistry, astronomy, and mathematics. Motion can also be studied in art, literature, and music.

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Answer:

1. A: acceleration

2. D: torsion

3.  C: gravitational force or possibly B: frictional force

4. B: noncontact force

5. B: distance: displacement

6. C: speed

Answer:

FJ = 31.48N

Explanation:

In this case you have that the torque exerted by each, thumb and finger, over the point P, is equal and opposite by the torque exerted by each Jaw.

You equal one of the torque produced by your hand, as for example, the torque of the finger, with the torque produced by one jaw:

\(\tau_F=\tau_J\\\\F_Fd_1=F_Jd_2\)         (1)

FF: finger force = 10.0N

FJ: jaw force = ?

d1: distance from finger to point P = 8.50cm = 0.085m

d2: distance form the border of the Jaws to the point P = 2.70cm = 0.027m

You solve the equation (1) for FJ and replace the values of the other parameters:

\(F_J=\frac{F_Fd_1}{d_2}=\frac{(10.0N)(0.0850m)}{0.027m}=31.48N\)

The force exerted by each jaw is 31.48N

The force that the forceps jaws exert on the plastic rod will be 31.48N.

From the information given, the following can be depicted:

Therefore, the jaw force will be calculated thus:

Fj = (Ff × d1) / d2

Fj = (10 × 0.085) / 0.027

Fj = 31.48N

Therefore, the jaw force is 31.48N.

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The acceleration due to gravity on asteroid X is approximately 0.5 m/s². The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.

To calculate the acceleration due to gravity on asteroid X, you need to first determine the mass of the astronaut. Since weight is a measure of the force of gravity on an object, and the force of gravity is directly proportional to the mass of the object, the mass of the astronaut can be calculated by dividing the weight on Earth by the acceleration due to gravity on Earth.

The acceleration due to gravity on Earth =  9.8 meters per second

      The mass of the astronaut = 500 Newtons / 9.8 m/s^2, 50 Kg

       The equation for gravitational force is F = Gm1m2/r^2,

where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them . Solving for r, you can calculate that the distance between the               astronaut and the center of asteroid X is approximately 5 meters. That is 0.5 m/s².

Therefore, The acceleration due to gravity on asteroid X is approximately 0.5 m/s². The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.

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Answer: c. The electric force increases

Explanation:

If the distance between two charged particles decreases, the electric force between them increases.

According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:

F = k * (q1 * q2) / r^2

Where:

F represents the electric force between the particles.

k is the electrostatic constant.

q1 and q2 are the charges of the particles.

r is the distance between the particles.

As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.

When borosilicate glass is undergoing change in temperature, heat is transferred.  The specific heat of borosilicate glass is 837.4 J/kg. °C

The specific heat is the amount of heat stored per kilogram of substance by 1 degree rise in temperature.

Given is the mass of borosilicate glass m =100 g =0.1 kg, heat transferred Q = 309J, temperature change ΔT = 3.69°C

Q = m x Cp x  ΔT

309 = 0.1 x Cp x 3.69

Cp = 837.4 J/kg. °C

Thus, the specific heat of borosilicate glass is 837.4 J/kg. °C

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Answer:

B

Explanation:

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Allow rider if age is 16 or older, height is greater than 65 inches, not pregnant, and no heart condition; otherwise, rider does not meet safety specifications.

The conditional statement for "The Neck Snapper" ride at the amusement park can be written as follows:

```python

if (age >= 16) and (height > 65) and (not pregnant) and (not heart_condition):

   # Allow the rider to go on "The Neck Snapper" ride

else:

   # Rider does not meet the safety specifications for the ride

```

This conditional statement ensures that the rider meets the safety specifications for "The Neck Snapper" ride. The conditions are:

1. The rider must be 16 years or older (`age >= 16`).

2. The rider must be more than 65 inches tall (`height > 65`).

3. The rider must not be pregnant (`not pregnant`).

4. The rider must not have a heart condition (`not heart_condition`).

If all of these conditions are met, the rider is allowed to go on "The Neck Snapper" ride. Otherwise, if any of the conditions are not satisfied, the rider does not meet the safety specifications for the ride.

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Answer:

100N

Explanation:

Force = Mass x Acceleration

Force = 0.4 kg x 250 m/s2

Force = 100N

Answer:

2.6 g/cubic centimeter

Explanation:

Given :

Weight of the quartz = 13 gram

Original level of water = 30mL

Level of water after quartz was is placed inside the cylinder = 35 mL

Therefore rise in water  = 35 - 30 = 5 mL

We known that 1 mL = 1 cubic centimeter

And density = mass / volume

Therefore, density of the quartz is = 13/5

                                                        = 2.6 g/ cubic centimeter

Answer:

Se obtienen 2,27 gramos de metanol.

Explanation:

La reacción entre monóxido de carbono e hidrógeno para producir metanol es la siguiente:

CO + 2H₂ → CH₃OH  

Para encontrar el reactivo limitante y el reactivo en exceso, debemos calcular el número de moles de CO y H₂:

\(\eta_{CO} = \frac{m}{M} \)              

En donde:    

m: es la masa

M: es el peso molecular  

\(\eta_{CO} = \frac{m}{M_{CO}} = \frac{2,0 g}{28,01 g/mol} = 0,071 moles \)

\(\eta_{H_{2}} = \frac{2,0 g}{2,02 g/mol} = 0,99 moles \)

Dado que la relación estequiométrica entre CO y H₂ es 1:2, el número de moles de hidrógeno gaseoso que reaccionan con el monóxido de carbono es:

\( \eta_{H_{2}} = \frac{2}{1}*0,071 = 0,142 moles \)      

Entonces, se necesitan 0,142 moles de H₂ para reaccionar con 0,071 moles de CO y debido a que se tienen más moles de H₂ (0,99 moles) entonces el reactivo limitante es CO y el reactivo en exceso es H₂.

Ahora podemos encontar la masa de metanol obtenida usando el reactivo limitante (CO) y sabiendo que la realcion estequiométrica entre CO y CH₃OH es 1:1.    

\( \eta_{CH_{3}OH} = \eta_{CO} = 0,071 moles \)

\( m = 0,071 moles*32,04 g/mol = 2,27 g \)

Por lo tanto, se obtienen 2,27 gramos de metanol.

Espero que te sea de utilidad!      

Answer:

Work is directly proportional to energy.

Explanation:

Work is said to be done when a body is displaced from one position to another. A force is required to make this displacement. This force applied is a kind of energy that is kinetic in nature. So when we displace an object by applying force, we are changing its kinetic energy to do the work.

Work Done = Change in Kinetic Energy.

Answer:

Wind-driven waves, or surface waves,

Explanation:

Explanation:

v²= u² + 2as

v= final velocity.

u= initial velocity.

a= acceleration.

s= distance.

Answer:

If we want to change the kinetic energy of a massive object, we must do work on it. For example, in order to lift a heavy object, we must do work to overcome the force due to gravity and move the object upward. If the object is twice as heavy, it takes twice as much work to lift it the same distance.

Explanation:

Answer: No doesn’t require any special training.

Explanation:

The construction of a scientific question doesn’t require any special training, Coming up with a scientific questions isn't supposed to be difficult and doesn't require training as a scientist.

If you've ever been curious about something, if you've ever wondered or want to know what caused something to happen, this are examples of scientific questions as they are usually driven by curiosity to know more.

Coastal engineering projects involve the design and construction of structures to manage and protect coastal areas from erosion, floods, and other natural hazards.

In a wave approaching perpendicular to a 500 m long breakwater, the height of the wave on the backside at a distance of 250 m from one of the ends can be estimated using wave transformation principles.

However, the height of the wave at a distance of 60 m from one of the edges along a 60-degree angle with the breakwater requires additional information, such as wave direction and wave transformation equations, to provide an accurate estimate.

For a wave in water that is 15 m deep with a period of 11 s and a height of 1.4 m, the water particle velocity and pressure at a point 0 m ahead of the wave crest and 2 m below the still water level can be calculated using wave theory equations. The horizontal and vertical displacement of the water particle orbit at this point can also be determined using the properties of wave motion and particle orbits.

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In the dominant-strategy equilibrium, both firms choose the strategy that maximizes their payoff, regardless of what the other firm does. In this case, both North Springs and South Springs will choose to increase output, as it gives them the highest payoff in both scenarios ($27 for North Springs and $28 for South Springs). Option (D) ($27, $28) ($27, $28).

In the Nash equilibrium, each firm chooses the best strategy, given the strategy chosen by the other firm.

In this case, if North Springs chooses to maintain output, South Springs will choose to increase output to get a higher payoff ($45).

If North Springs chooses to increase output, South Springs will also choose to increase output to get a higher payoff ($28).

Similarly, if South Springs chooses to maintain output, North Springs will choose to increase output to get a higher payoff ($27). If South Springs chooses to increase output, North Springs will also choose to increase output to get a higher payoff ($27).

Therefore, the Nash equilibrium is also when both firms choose to increase output, resulting in a payoff of ($27, $28).

Thus, the correct answer is Option (D) ($27, $28) ($27, $28).

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