How are Newton’s Laws used to describe the motion of planets? Justify your response in two or more complete sentences in the essay box below.

The work required to deflect a linear spring by 20 cm from its rest position with a spring constant of 70 kn/m is 1.4 KJ.

spring constants (physics) A spring property defined as the ratio of the force acting on the spring to the displacement induced by it. Hooke's Law states that as a spring is extended, the force exerted is proportional to the increase in length from the equilibrium length. F represents the force, while x represents the change in spring length. The spring constant is the proportional constant k. It is a measure of the stiffness of the spring. When a spring is stretched or compressed by an amount x from its equilibrium length, it produces a force F = -kx in the direction of its equilibrium position.

Here,

spring constant=70 KN/m

d=0.2 m

W=kx²/2

=70*10^3(0.2²)/2

=1.4 KJ

The work required to deflect a linear spring with a spring constant of 70 kn/m by 20 cm from its rest position is 1.4 KJ.

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Railway tracks or the freeway quantities could be graphed to yield a straight line whose slope could be used to calculate a numerical value for the mass of the cart.

A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. According to linguists, the Middle English adverb aslope, which meaning "at an angle," is where the term slope is said to have originated. You can use the word's noun form to describe things that are sloped or at an angle, such as a steep hill or a ramp.

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To calculate the distance first you have to find the angular velocity of the pulley with the formula K.E = 1/2 I ω² using the given value of kinetic energy. Then, also find the potential energy loss of the stone and then the distance.

Since the system here is released from rest, therefore there will be loss in potential energy of the system and gain in its kinetic energy.

Therefore,

Loss in potential energy = gain in (kinetic energy of the pulley + kinetic energy of the stone)

Using the given mass of the pulley disk, find its moment of Inertia.

Inertia (I) = 1/2 mass x radius²

Then, find the angular velocity of the pulley,

K.E = 1/2 I ω²

Finally, find the total kinetic energy of the system by dividing the two fractions of the pulley's kinetic energies .

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The snake takes 0.53 seconds to reach its top speed.

Speed is defined as: The rate of change of the object's position in any direction. Speed ​​is measured as the ratio of distance traveled and time traveled. In physics, an equation of motion is an equation that describes the behavior of a physical system related to motion as a function of time..

We know the snake's initial speed (zero) and its final speed (4.50 m/s). Also, its acceleration is 8.37 m/s2

The relevant equation is:  

v = v0 + at

4.50 = 0 + 8.37t

0.53 s = t

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We know that (momentum after) = (momentum before)

We remember that (Momentum) = (mass) x (speed)

Mass of the flatcar = M

Mass of the boxcar = m

Speed of the flatcar before the collision = v

Speed of the two cars stuck together after the collision = v/3

Total momentum before the collision = M · v

Total momentum after the collision = (M + m) · (v/3)

Momentum is conserved. (Total after) = (total before)

(M + m) · (v/3) = (M · v)

Eliminate parentheses on the left.  Mv/3 + mv/3 = Mv

Divide both sides of the equation by v .  M/3 + m/3 = M

Multiply both sides of the equation by 3 .  M  + m = 3M

Subtract M from both sides of the equation.  m = 2M

The mass of the boxcar is 2 times the mass of the flatcar.

Answer: 11925 N

Explanation:   It's a very simple question.

According to Newton's 2nd law,

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

             F=ma

where m = mass of an object

           a= acceleration

F = 795*15

  =11925 N

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For the two securities that have distinct risks and returns, the appropriate measure is the A: standard deviation.

A standard deviation (symbol σ) is a measure of how disseminated the data is in relation to the mean. A low standard deviation indicates that data are clustered around the mean; while a high standard deviation shows that data are more spread out.

Standard deviation is used to measure and compare the two securities that have distinct risks and returns. So option A: standard deviation is the correct answer.

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The true options about a rainbow are, sunlight slows down as it enters water droplets in the sky. Rainbows are a type of interference pattern. Refracted Sunlight makes the arc in the rainbow.

The result of light striking water droplets is a multicolored arc. A rainbow is a meteorological phenomenon that appears in the sky as a spectrum of light due to light reflection, refraction, and dispersion in water droplets. It appears as a circular arc with various colors. The part of the sky right across from the Sun is where rainbows brought on by sunlight always occur.

When light encounters a water droplet, it is bent at the air-water interface and penetrates the droplet, where it is divided into seven hues. The light then reflects inside the droplet before being refracted out into the atmosphere once more, creating a rainbow appearance.

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As a result, the thread holding the two objects together is pushing on them both equally strongly but in different directions.

In this problem, a string connects the two objects, transferring the force of one object to the other. The force is exerted in a different direction while remaining the same magnitude by wrapping the string around a pulley. A string links object A and object B. Gravity will cause object B to fall downward, pulling on one end of the string it is attached to in the process. Newton's law of action-reaction predicts that object B will be pulled upward by this lower end of the string. Object A is attached to the string's other end on the opposite end. Object A is being pulled to the right by this end of the string. Item A is pulled upward by the string, and object B is pulled to the right. The pulley has altered the force's direction of application.

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The space between the polyethylene bar and the steel tube will be closed when the applied force P is 476.48 Pounds.

Hooke's Law is a principle in physics that describes the relationship between the applied force on an object and the resulting deformation of that object. The law states that, within the elastic range of deformation, the magnitude of the deformation (strain) is directly proportional to the magnitude of the applied force (stress).

To determine the force P at which the space between the polyethylene bar and the steel tube is closed, the relationship between the applied force and the resulting deformation of the polyethylene bar needs to be known. Since the polyethylene bar is in the elastic range of deformation, Hooke's Law can be used.

The deformation of the bar is given by:

δ = (Pd1) / (2πE(d1/2) ²)

Where:

δ = deformation (inches)

P = applied force (pounds)

d1 = diameter of the polyethylene bar (inches)

E = modulus of elasticity of the polyethylene (ksi)

The space between the polyethylene bar and the steel tube is closed when the deformation of the bar is equal to the difference in the inner diameters of the two tubes:

δ = d2 - d1

By substituting the given values and solving for P, the force at which the space between the polyethylene bar and the steel tube is closed can be found.

P = (2πE(d1/2)²×(d2-d1)) / d1

P = (2π200(4/2)² × (4.01-4)) / 4 = 476.48 Pounds

Therefore, the space between the polyethylene bar and the steel tube will be closed when the applied force P is 476.48 Pounds.

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False. Buckingham Pi theorem states that if a physical relationship involves a certain number of independent variables, then the relationship can be written as a product of powers of a certain number of dimensionless groups.

Buckingham Pi theorem is a mathematical theorem that states that any physical system can be expressed as a combination of an appropriate number of variables, together with the appropriate number of independent dimensionless parameters. The theorem was developed by Edward Buckingham in 1914 and is considered to be the most general form of dimensional analysis.

The Froude number does not depend on the independent variables mentioned (velocity, gravitational constant, and length) so Buckingham Pi theorem is not applicable.

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These lines, which are also known as electric field lines, point in the direction that a positive test charge would accelerate if it were placed along the line.

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x-component: 0 lb (there is no force acting in the x-direction)

y-component: 0 lb (there is no force acting in the y-direction)

z-component: 80 lb (this is the vertical force acting on the crankshaft)

x-component: -80 lb (this is the horizontal force P that must be applied to the handle in the opposite direction to achieve equilibrium)

y-component: 0 lb (there is no force acting in the y-direction)

z-component: 0 lb (there is no force acting in the z-direction)

Part A:

To determine the horizontal equilibrium force P that must be applied to the handle, we need to consider the forces acting on the crankshaft. The only force acting on the crankshaft is the vertical force of 80 lb, which means that a horizontal force P must be applied to the handle in the opposite direction in order to achieve equilibrium. Therefore, P = -80 lb (the negative sign indicates that the force is in the opposite direction).

Part B:

The x, y, and z components of force at the smooth journal bearing A are as follows:

x-component: 0 lb (there is no force acting in the x-direction)

y-component: 0 lb (there is no force acting in the y-direction)

z-component: 80 lb (this is the vertical force acting on the crankshaft)

Part C:

The x, y, and z components of force at the thrust bearing B are as follows:

x-component: -80 lb (this is the horizontal force P that must be applied to the handle in the opposite direction to achieve equilibrium)

y-component: 0 lb (there is no force acting in the y-direction)

z-component: 0 lb (there is no force acting in the z-direction)

Note: The above is based on the assumption that the bearings are properly aligned and exert only force reactions on the shaft.

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The Mass of the object is 500kg have a density of 250 kg/cm³.

Mass per unit of volume is referred to as density, volumetric mass density, or specific mass. The Latin sign D may also be used, however, the Greek letter rho is more frequently employed to represent density. Mass divided by volume is the mathematical formula for density.

Although this is technically incorrect, density is generally described as a substance's weight divided by its volume. The term "specific weight" is more accurate.

The density and mass concentration of a pure substance is numerically equivalent. Density can affect buoyancy, purity, and packing. Varied materials typically have different densities. At normal temperatures and pressures, osmium and iridium have the highest densities of any known elements.

Volume = 2000mm³ = 2cm³

Density = Mass / Volume

250 = Mass/ 2

mass = 500kg

Hence, the mass will be 500kg.

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Answer:

The volume of a gas is inversely proportional to the pressure at constant temperature, according to Boyle's law. Mathematically, it can be expressed as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

As the temperature is constant, we can use the following formula to calculate the new volume of the balloon:

V1 / P1 = V2 / P2

where V1 = 2.00 L, P1 = 101 kPa, P2 = 97.0 kPa.

V2 = (V1 * P2) / P1

V2 = (2.00 L * 97.0 kPa) / 101 kPa = 1.9608 L

So, the new volume of the helium balloon is 1.9608 L.

The vector sum of the electric fields resulting from each of the two charges at point P is the electric field. The field owing to q will point to the right, whereas the field due to -q will point to the left. As a result, the net electric field at point P is zero.

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field. The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically. Electric charge or magnetic fields with variable amplitudes can produce an electric field. The area of space surrounding an electrically charged particle or object in which the charge body perceives force is known as the electric field.

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Answer:

Explanation:

W=Fd

The charges q1 and q3 are positive while charge q2 is negative.

Electric field lines go away from charge q1 and q3, therefore these charges are positive.

Field line come towards the charge q 2, therefore  this charge is negative.

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If a meteorologist says that it will rain with probability p, then he or she will receive a score of -10log(p) and a score of -10log(1-p) if it does not rain.

The scoring system is called the Brier score, which is a commonly used method for evaluating accuracy of probabilistic forecasts. The Brier score ranges from 0 to 1, with score of 0 indicating perfect accuracy and score of 1 indicating total inaccuracy.

If a meteorologist says that it will rain with probability p, then he / she will receive a score of -10log(p) if it does rain. This is because log(p) is a measure of how uncertain the forecast is, and negative sign is used to penalize inaccurate forecasts.

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While painting the top of an antenna 206 m in height, a worker accidentally lets a 1.30-L water bottle fall from his lunchbox, the increase in temperature of the water is approximately 0.48 degrees Celsius.

To find the increase in temperature of the water bottle.

To calculate the change in mechanical energy of the water bottle, we can use the following formula:

Δ[tex]E_{mech[/tex] = m × g × h

where m is the mass of the water bottle, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height of the antenna (206 m).

Δ[tex]E_{mech[/tex] = 1.30 kg × 9.81 m/s² × 206 m

Δ[tex]E_{mech[/tex] ≈ 2605.646 J

Since the worker accidentally drops the bottle, we know that the change in mechanical energy is negative (lost energy).

Now, to find the increase in temperature (ΔT) of the water, we can use the formula:

Δ[tex]E_{int[/tex]  = m × c × ΔT

where Δ[tex]E_{int[/tex] is the change in internal energy (heat), m is the mass of the water bottle, c is the specific heat capacity of water (approximately 4186 J/(kg°C)), and ΔT is the increase in temperature we want to find.

Since the quantity of heat (Q) is equal to the magnitude of the change in mechanical energy (|Δ[tex]E_{mech[/tex]|):

|Δ[tex]E_{mech[/tex]| = m × c × ΔT

ΔT = |Δ[tex]E_{mech[/tex]| ÷ (m × c)

ΔT ≈ 2605.646 J ÷ (1.30 kg × 4186 J/(kg°C))

ΔT ≈ 0.48°C

Thus, the increase in temperature of the water bottle is approximately 0.48°C.

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If he climbed the ladder in 12.0 seconds, the laborer's power output is 394.875 watts.

Work is the product of force and distance and is measured in Joules (J). In physics, work is the energy transferred to or from object via application of force along a displacement.

As, work = force x distance x cos(theta)

So, the work done by the laborer would be:

work = (895 N + 575 N) x 3.1 m x 1 = 4738.5 J

As, power = work / time

where time is measured in seconds.

power = 4738.5 J / 12.0 s = 394.875 W

So, the laborer's power output is 394.875 watts.

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The required moments of the resulting two couples is calculated to be 16.39 Nm.

Forces acting are two 60N forces

A and C are the corners of a 200-mm square plate

The equation for AC is given as(AC forms a hypotenuse, with two similar sides),

AC = √0.2²+0.2² = 0.2√2 m

sin75° = d/AC

d = 0.2√2 sin75° = 0.2732 m

m Fm = Fm × 0.2

m Fm = -30 V₃ 0.2

m Fm = -6 V₃

m Fv = -6 Nm

So, m = 16.39 Nm (clockwise)

Thus, the required moments of the resulting two couples is calculated to be 16.39 Nm.

The given question is incomplete. The complete question is 'Two parallel 60-N forces are applied as shown to the corners A and C of a 200-mm square plate.'

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The correct answer is 2.77m.

The correct answer is B) Graphing the potential difference across the lightbulb as a function of the current through the lightbulb to see if there is a linear relationship.

An ohmic material is one that has a linear relationship between the current flowing through it and the potential difference across it. The resistance of an ohmic material does not change with the current flowing through it.

Therefore, the best way to analyse the data to determine if the lightbulb is ohmic or nonohmic is to graph the potential difference across the lightbulb as a function of the current through the lightbulb. If the graph is a straight line, it indicates that the lightbulb is ohmic. If the graph is not a straight line, it indicates that the lightbulb is nonohmic.

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Complete Question:

A teacher finds an old lightbulb in a supply room. The teacher asks a student to design a procedure to determine if the lightbulb is ohmic or nonohmic. The student plans to connect the light bulb to batteries of different emf and measure the potential difference across and the current through the lightbulb. Which of the following is the best way to analyse the data to determine if the lightbulb is ohmic or nonohmic?

A) Calculating the resistance for each pair of potential difference and current measurements, and then averaging all of the resistance values.

B) Graphing the potential difference across the lightbulb as a function of current through the lightbulb to see if there is a linear relationship.

C) Graphing the power of the lightbulb as a function of the potential difference across the lightbulb to see if there is a linear relationship.

D) Averaging all of the values of the potential difference and averaging all the values of the current and then calculating an overall value for resistance based on averages

A sea or an ocean's water is known as seawater or salt water. Oceans around the world have an average salinity of 3.5% (35 g/L, 35 ppt, 600 mM).

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In this case, the weight in air is 30.4 N and the weight in water is 17.0 N the density can be found using the formula:

density of object = (weight in air - weight in water) / volume of object

The volume of the statue is required to calculate the density using the formula:

density of object = (weight in air - weight in water) / volume of object

To determine the density of the ceramic statue, you can use the concept of buoyancy. The buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This can be calculated using the equation:

density of object = (weight in air - weight in water) / volume of object

In this case, the weight in air is 30.4 N and the weight in water is 17.0 N. To calculate the volume of the object, you will need to measure it or have the information available. Once you have the volume, you can plug it into the above equation and calculate the density of the ceramic statue.

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In the presence of cocaine, maximum transport velocity (Vmax) is unaffected, but the transporter's apparent affinity for dopamine is reduced

Cocaine has psychomotor stimulating effects similar to amphetamines and related compounds. It increases transmitter concentrations at both noradrenergic and dopaminergic synapses and also acts as an anesthetic. Evidence of effects on cellular action potentials suggests that cocaine affects both fast Na+ channels and repolarizing K+, but not Ca2+ channels. Cocaine is not seen to have an affect on Vmax. But it is seen that dopamine transporters decrease its affinity for dopamine in presence of cocaine.

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The time it takes the hockey player to catch his opponent is 8.2s and he has he traveled 130m in that time.

A defenseman's main goal is to keep the team with the puck from scoring into their net. Therefore, the defensemen will frequently step up and stop the puck-bearing team from moving it into their defensive zone when they are skating through the neutral zone. The dump and chase tactic is used in this situation.

a) The given data is:

v = 4 m/s

t = 2.8 s

d=?

Use the formula:

v = d/t....(i)

Put the value of given data in equation (i)

d = v × t

d = 4 m/s × 2.8 s

d = 130 m

Thus, distance will be 8.2 s

Ice hockey skates are typically used for leisure ice skating by themselves, but they can also be used for the sports of ice hockey and ringette. The components of each individual skate are the boot, laces, blade, and blade holder.

b)

d = 8.2 s

t = 2.80 s

Use the formula:

v = d/t....(i)

Put the value of given data in equation (i)

d = v × t

d = 4 m/s × 8.2 s

d = 8.2 s

Thus, distance will be 8.2 s

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The total mechanical energy of the block-earth system remains constant, and the total mechanical energy of the system containing only the block increases from the moment of release to the moment it hits the ground.

Mechanical energy is energy associated with the motion and position of an object. It is the sum of both the kinetic energy, which is energy associated with the object's motion, and the potential energy, which is energy associated with the object's position. Mechanical energy is present in a variety of forms, including kinetic energy, potential energy, heat, and elastic energy. Mechanical energy is converted into other forms of energy, such as thermal energy, electrical energy, and chemical energy. Mechanical energy can be used to do work, such as turning a crank to lift a heavy object, and can be harnessed to power machines and devices. Mechanical energy is an important concept in physics and engineering, as it can be used to analyze the motion and behavior of objects, and to develop solutions to problems.

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