Complete the passage to describe the relationship between kinetic energy, internal energy, thermal energy, and
temperature.
As the average kinetic energy of a substance increases, the internal energy vand so its thermal energy
As the thermal energy of a substance increases, the temperature

Answers

Answer 1

Answer:

Increases

Increases

Increases

Explanation:

I don't know if you answered your own question but I'll just answer this for others confused ahh

Answer 2

As the average kinetic energy of a substance increases, its thermal energy increases which increases the temperature, and as the temperature increases, the internal energy of the substance increases.

The thermal energy, internal energy and kinetic energy of a gas are interrelated.

The average kinetic energy of a gas is its internal energy presented by the equation E = \(\frac{3}{2}k_{b}T\), here \(k_{b}\) is Boltzmann's constant and T is the temperature of the gas.We can see that the average kinetic energy of the internal energy is directly proportional to temperature.So if the thermal energy of the gas is increased, it raises the temperature of the gas, which will increase the vibrations of the molecules of the gas and the velocity of the molecules.The increase in the vibration of the molecules and their velocities results in increase in average kinetic energy and internal energy of the gas.

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Related Questions

Momentum conservation often assumes that the mass of an object remains
constant throughout a process or event. However, a change in momentum can
also occur when mass changes. Consider an automobile with a full tank of
gasoline traveling at a velocity of 88.0 km/h to the east. The mass of the car when
the fuel tank is full is 1292 kg. Suppose that the car travels along a highway that
extends eastward for 600 km. By the time the car has traveled this distance, its
mass is 1255 kg. What is the car's velocity at the end of the journey?

Answers

The law of conservation of momentum states that in an isolated system, the total momentum of two or more bodies acting on each other remains constant unless an external force acts on them. Therefore, it cannot create or destroy momentum.

What is the speed of the car at the end of the trip?Velocity is the percentage of time an object moves along a path, and Velocity is the speed and direction of an object's movement.If the car is moving at a constant speed, the car is also moving at a constant speed. The confusion between the two rates, which are actually measured in the same units, is:Velocity is a vector quantity, but velocity is a scalar quantity.This is just Newton's first law. An object at rest will remain stationary and an object in motion will continue to move in the same direction at a constant speed unless an unbalanced force acts on it. The car tends to keep moving at a constant speed and direction because the two forces are canceling (i.e. balanced).

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a process scientists use to conduct an investigation is called

Answers

The scientific method!
a process scientists use to conduct an investigation is called

This graph shows that as an object's mass increases its
es )
A)
inertia increases.
B)
inertia decreases.
acceleration increases.
D)
acceleration decreases.

This graph shows that as an object's mass increases itses )A)inertia increases.B)inertia decreases.acceleration

Answers

Answer:

(A)  inertia increases.

Explanation:

Inertia is the property of mass that resists change so the mass an object has the greater the inertia

A is the answer can I have brainliest

Equipotential lines are lines with equal electric potential (for example, all the points with an electric potential of 5.0 V). Using the plot tool that comes with voltmeter (pencil icon) make two equipotential lines at r = 0.5 m and r = 1.5 m. Enable electric field vectors in the simulation. Put an electric field sensor at different points on the equipotential line and note the direction of the electric field vector. What can you conclude about the direction of the electric field vector in relation to the equipotential lines?

The direction for each field vector is perpendicular to equipotential lines.

Take a snapshot of the simulation showing equipotential lines and paste to a word document.

Answers

....................

Equipotential lines are lines with equal electric potential (for example, all the points with an electric

Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.

Answers

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

How to solve for the  total distance

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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A. A PH202 student lives next to a construction site and sees a crane with a wrecking ball demolish the building next door. The wrecking ball swings along the wall between her house and the neighbor’s house. In an effort to determine the length of the cable on the wrecking ball the student builds a pendulum using a random rock and a string. Her pendulum turns out to be 0.500m long. While she plays with her pendulum she realizes that the wrecking ball swings back and forth in the same amount of time that it takes the rock to complete 5 full oscillations. What is the length of the cable on the wrecking ball?

Answers

Answer:

The length of cable is 12.5 m

Explanation:

Since, the wrecking ball completes 1 oscillation, in the same time, as it takes for the rock to complete 5 oscillations.

Therefore,

Time Period of Wrecking Ball = 5 (Time Period of Rock)

Since,

Time Period of  Pendulum = 2π√(L/g)

Therefore,

2π√(L₁/g) = 5[2π√(L₂/g)]

√L₁ = 5√L₂

Squaring on both sides:

L₁ = 25 L₂

where,

L₁ = Length of Cable = ?

L₂ = Length of string = 0.5 m

Therefore,

L₁ = 25 (0.5 m)

L₁ = 12.5 m

A gas undergoes two processes. In the first, the volume remains constant at 0.170 m3 and the pressure increases from 1.50×105 Pa to 6.00×105 Pa . The second process is a compression to a volume of 0.130 m3 at a constant pressure of 6.00×105 Pa. Find the total work done by the gas during both processes.

Answers

Answer:

\(W_{T} = - 24 kJ \)

Explanation:

The work (W) done by the gas can be calculated using the following equation:

\( W = p*\Delta V = p*(V_{f} - V_{i}) \)

Where:

p: is the pressure

[tex}V_{f}\): is the final volume

[tex}V_{i}\): is the initial volume

In the first process, the work done by the gas is:

\( W_{1} = p*\Delta V = p*0 = 0 \)

Since the volume remains constant, the total work done by the gas is equal to zero.

In the second process, the work done by the gas is:

\( W_{2} = p*(V_{f} - V_{i}) = 6.00 \cdot 10^{5} Pa*(0.130 m^{3} - 0.170 m^{3}) = -24 kJ \)

Now, the total work done by the gas during both processes is:

\( W_{T} = W_{1} + W_{2} = 0 + (-24 kJ) = - 24 kJ \)

Therefore, the total work done by the gas during both processes is - 24 kJ.

I hope it helps you!

The total work done by the gas during both processes is 0 Joules and  -2.4 × 10⁴ Joules respectively.

The work done on a system at constant pressure (P) can be expressed by using the relation:

W = ρdV

here:

dV = change in volume, and since the volume is said to remain constant in the first process, then V = (0)

W = ρ(0)

W = 0 Joules

In the second process;

V₂ = 0.130 m³V₁ = 0.170 m³

Using the same relation;

W = ρdV

where

dV = (0.130 - 0.170) m³dV = - 0.04 m³

W = 6.00 × 10⁵ (-0.04) Joules

W = -24000 Joules

W = -2.4 × 10⁴ Joule

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Consider a collection of charges in a given region and suppose all other charges are distant and have a negligible effect. Further, the electric potential is taken to be zero at infinity. If the electric potential at a given point in the region is zero, which of the following statements must be true?
A. The electric field is zero at that point.
B. The charges have the same sign and are symmetrically arranged around the given point.
C. The electric potential energy is a minimum at that point.
D. There is no net charge in the region.
E. Some charges in the region are positive, and some are negative.

Answers

Answer:

E. Some charges in the region are positive, and some are negative.

Explanation:

Electric potential is given as;

\(V = \frac{W}{Q}\)

where;

W is the work done in moving a charge between two points which have a difference in potential

Q is quantity of charge in the given region

If the electric potential at a given point in the region is zero, then sum of the charges in the given region must be equal to zero. For the charges to sum to zero, some will be positive while some will be negative,.

Therefore, the correct statement in the given options is "E"

E. Some charges in the region are positive, and some are negative.

The gravitational potential energy of an object is defined as the energy it has due to its position in a gravitational field. A ball with a weight of 50 N is lifted to a height of 1 meter. Which graph correctly represents the change in gravitational potential energy (shaded in blue) as it is lifted to this height?

Answers

Answer:

athletic

Explanation:

because internet system has been down since we were in few days

What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m

Answers

The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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A small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is 0=2.25 m/s . Knowing that at the time of the release the balloon was 35.8 m above the ground, determine the time it takes for the bag to reach the ground from the moment of its release. Use =9.81 m/s2.

Answers

The time that takes for a small bag of sand to reach the ground after it is released from an ascending hot-air balloon whose upward velocity is 2.25 m/s is 2.94 s.  

We can find the time that takes for the bag to reach the ground with the following equation:

\( y_{f} = y_{i} + v_{i_{y}}t + \frac{1}{2}gt^{2} \)   (1)

Where:            

\( y_{f} \): is the final height = 35.8 m

\( y_{i} \): is the initial height = 0

\( v_{i_{y}} \): is the initial velocity = 2.25 m/s

t: is the time =?

g: is the acceleration due to gravity = 9.81 m/s²

When the bag is released, it will move upward until it reaches a maximum height and then begins to fall. We can find the time that takes for the bag to reach the maximum height as follows:      

\( v_{f} = v_{i} - gt \)  (2)

Where:

\( v_{f} \): is the final velocity = 0 (at the maximum height)

\( v_{i} \): is the initial velocity = 2.25 m/s

The time is:        

\( t = -\frac{v_{f} - v_{i}}{g} = \frac{2.25 m/s}{9.81 m/s^{2}} = 0.23 s \)

This is the rise time it takes for the bag to reach the maximum height, which is equal to the fall time it takes for the bag to reach the same starting point (35.8 m above the ground), so:

\( t = 0.23 s*2 = 0.46 s \)

Now, from equation (1) we have:

\( 35.8 m = 0 + 2.25 m/s*t + \frac{1}{2}9.81 m/s^{2}*t^{2} \)    

By solving the above quadratic equation for t we have:

\( t = 2.48 s \)    

Hence, the total time is:

\( t = 2.48 s + 0.46 s = 2.94 s \)

Therefore, the time that it takes for the bag to reach the ground is 2.94 s.

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In a 42 s interval, 597 hailstones strike a glass window of area 0.597 m2 at an angle 50◦ to the window surface. Each hailstone has a mass of 6 g and speed of 6.3 m/s. If the collisions are elastic, find the average force on the window.
Answer in units of N.

Answers

That answer is worth more points. Not gonna lie

What is the cost per month to operate an A.C. 10hours per day whose power is 3kW and 1KWH cost 79francs

Answers

The cost of operation for an A.C for 10 hours per day for a month will be 71,100 francs.

What is Power?

Power is the amount of energy transferred or converted per unit time. The unit of power is the watt, equal to one joule per second. Power is a scalar quantity.

Cost of operation for 10 hours a day;

Daily consumption = 3kW x 10 hours

Daily Consumption = 30kW

Since 1kWH = 79 francs;

Daily consumption amount = 30 x 79 francs

Daily consumption amount = 2,370 francs

Therefore, the monthly consumption (using 30days) will be;

2,370 francs x 30 = 71,100 francs

In conclusion, 71,100 francs will be spent in a month (30 days) to run the 3kW rated A.C for 10 hours a day at 1kWH.

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In a shipping yard, a crane operator attaches a cable to a 1,180 kg shipping container and then uses the crane to lift the container vertically at a constant velocity for a distance of 34 m. Determine the amount of work done (in J) by each of the following.
a) the tension in the cable.b) the force of gravity.

Answers

Answer:

Work done by the cable= 393176Joules

While work done by force of gravity is =-393176J

Explanation:

See attached file for calculation

In a shipping yard, a crane operator attaches a cable to a 1,180 kg shipping container and then uses

A student attaches a block of mass M to a vertical spring so that the block-spring system will oscillate if the block-spring system is released from rest at a vertical position that is not the system's equilibrium position. The figure shows three positions of the spring as it travels from point X to point Y and then from point Y to point Z. Point X is the lowest point of the center of mass of the block as it oscillates. Point Y is the equilibrium position of the block-spring system. Point Z is the highest point of the center of mass of the block as it ocillates. The gravitational potential energy of the block- spring-Earth system is considered to be zero at point X. Which of the following claims is correct about the block- spring-Earth system?
a. The gravitational potential energy of the block-spring-Earth system is the same at point X as it is at point Z. b. The spring potential energy of the block-spring-Earth system is the same at point X as it is at point Z. c. The block-spring-Earth system does not have spring potential energy at point Y. d. The block-spring-Earth system has minimum potential energy at point Y.

Answers

Here are the details about the block- spring-Earth system:The block- spring-Earth system has minimum potential energy at point Y.

This statement is correct about the block- spring-Earth system. Let's explain this statement with some reasons. The system's gravitational potential energy is zero at point X, which is the lowest point of the center of mass of the block as it oscillates. At point Z, the highest point of the center of mass of the block as it ocillates, the gravitational potential energy of the block-spring-Earth system is maximum. The spring potential energy of the block-spring-Earth system is maximum at point Y, the equilibrium position of the block-spring system.Therefore, the block-spring-Earth system has minimum potential energy at point Y. In the absence of external forces and friction, total mechanical energy, which is the sum of the gravitational potential energy and the spring potential energy, should remain constant throughout the system's oscillation. So, the block-spring-Earth system has the same total mechanical energy at all times.

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The gravitational force between two objects is 50N. If the mass of one object is quadrupled and the distance is doubles, what is the new force?

Answers

If the mass of one object is quadrupled and the distance is doubled, the new gravitational force will be the same or equal to 50 N.

What is gravitational force?

The gravitational force can be thought of as an attracting force that pulls all mass-containing physical objects toward it. It is by far the least powerful known natural force.

The  gravitational force, F, of attraction between two objects, is given mathematically as follows:

F = GM₁M₂/r²

where;

G is the gravitational force constant

M₁ is the first mass

M₂is the second mass

r is the distance of separation

Given that the gravitational force between two objects is 50N.

If the mass of one object is quadrupled and the distance is doubled, the new force will be:

F = 4 * GM₁M₂/(2r)²

F = GM₁M₂/r²

Hence, the force remains the same.

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answer bhejo please please please​

answer bhejo please please please

Answers

Answer:

Various uses of water :

1. Water is used for daily purpose like cooking , bathing , cleaning and drinking.

2. Water used as a universal solvent.

3. water maintains the temperature of our body.

4. Water helps in digestion in our body.

5 .water is used in factories and industries.

6. Water is used to grow plants , vegetables and crops.

7) Three resistors having resistances of 4.0 Ω, 6.0 Ω, and 10.0 Ω are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10.0-Ω resistor?

A) 0.59 A

B) 2.7 A

C) 6.4 A

D) 11.2 A

E) 16 A

E) 16 A

Answers

Answer:

A, 0.59A

Explanation:

The total resistance in the circuit is the resistances in parallel plus that in series.

Total resistance for those in parallel is;

1/(1/4 +1/6 +1/10) = 1/ (15+10+6 /60)

1/(31/60)= 60/31 ohms

Hence total resistance of the circuit is;

60/31 + 2 = (60+62)/31 = 122/31=3.94 ohms

To calculate the current flowing through the 10ohm resistance we need to know the voltage drop by subtracting the voltage drop in the 2ohm resistance from the total voltage drop.

Voltage drop on the 2 ohm resistance is;

Current on the 2 ohm resistor × 2 ohms

V = I ×R ; I - current

R - resistance

Current drop on the 2ohm resistance is;

Total voltage in the circuit/ total resistance in the circuit

12/3.94= 3.05A

Voltage drop on the 2 ohm resistance;

3.05 × 2 = 6.10volts

Hence voltage drop on the parallel resistance would be ;

12-6.10= 5.90V

Now voltage drop in a parallel circuit is the same hence 5.90v is dropped in each of the parallel resistance.

That said, the current drop on the 10 ohm resistor would be;

5.90/10 = 0.59A

Remember V= I× R so that I = V/R

The current flowing through the 10 ohms resistor is 0.59 A.

The given parameters;

resistors in parallel, = 4.0 Ω, 6.0 Ω, and 10.0 Ωresistor in series = 2 0 Ω,

The equivalent resistance of the parallel resistors;

\(\frac{1}{R_e} = \frac{1}{4} + \frac{1}{6}+ \frac{1}{10} \\\\\frac{1}{R_e} = \frac{31}{60} \\\\R_e = \frac{60}{31} = 1.94 \ ohms\)

The overall resistance with series resistor

R = 1.94+ 2 = 3.94 ohms

The current flowing in the entire circuit is calculated as follows;

\(I = \frac{V}{R} \\\\I = \frac{12}{3.94} \\\\I =3.05 \ A\)

The voltage drop due to the 2 ohms resistor is calculated as follows;

V = 12 - 3.05(2)

V = 5.9 V

The current flowing in the 10 ohms resistor is calculated as follows;

\(I = \frac{5.9}{10} \\\\I = 0.59 \ A\)

Thus, the current flowing through the 10 ohms resistor is 0.59 A.

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Is light a particle or a wave? Is metal a good heat shield? Is the reason that nothing can go faster than light because we have not tried hard enough? Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?​

Answers

Answer:

Light can act as a wave or a particle. This is called light wave-particle duality, simply that the light has both the characteristics of fluctuations, but also has the characteristics of particles. Light can propagate forward like a wave, and sometimes show the characteristics of particles.

Metal is not heat resistant and therefore it is not a good heat shield. For example pots are made out of metal because they are good conductors of heat.

Light is said to be the fastest, it is because we have not discovered anything faster than light. If someone discover's something faster than light then that will become the fastest. It is not that we have tried hard enough, it is just that our technology, research and veiw of outer space is limited. Implementing good research and technology requires a lot of money, time and expertise. We have much better things to do than to discover something faster then light because even if it's discovered what can we do with it, with our severe lacking research and technology, it's practically useless and good as updating some newspaper articles. When even light can give us a headache.

Dark matter, antimatter, dark energy and degenerate matter can be said to be different. I'm not sure about the intricasies but all have different energy frequencies and effects. Not sure but please do research about it.

Hope this helps you.

A problem says a car is initially driving 19.4 m/s due north. Which one of these tables includes that information correctly? ​

A problem says a car is initially driving 19.4 m/s due north. Which one of these tables includes that

Answers

Answer: B

Explanation: because x is 19.4 and then the y is m/s north

Which air pocket would you expect to cool down more at night?

Answers

Which air pocket would you expect to cool down more at night? 

Answer: The ocean air.

Why?

Because ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

Ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

What is Air pocket?

"Air pocket" is merely another term for ordinary turbulence. You might feel as if you're falling from the sky, but rest assured, if you flying commercially, you rarely gain or lose more than about twenty feet, especially if the plane is on autopilot.

The term "air pocket" comes from early aviation, a time when pilots flying open-cockpit biplanes took adventurous locals on a rides in their “flying machines.”

When the plane entered air that, instead of simply sitting there, was flowing slightly upward or slightly downward, the plane's path was altered slightly upward or slightly downward.  

Therefore, Ocean water seems to cool faster at night which may cause the ocean air to cool down more at night.

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Coherent light from a laser shines through two slits 0.002 cm apart, producing an interference pattern on a screen. A bright central fringe is seen on the screen in line with a point directly between the slits. The next bright fringe is seen at an angle of 2 degrees above the central fringe (with a dark fringe between). What is the wavelength of the laser’s light? (1 nm = 10-9 m)

Answers

Answer:

λ = 698 nm (Approx)

Explanation:

Given:

Width d = 0.002 cm = 0.002 x 10⁻² nm

θ = 2°

Computation:

d sinθ = mλ

(0.002 x 10⁻²) sin2° = mλ

λ = 698 nm (Approx)

A 1.0-kg cue ball traveling at 15 m/s strikes a stationary billiard ball of mass 1.5 kg. After the collision, the cue ball remains at rest. With what velocity does the other ball travel?

Answers

Answer:

Other ball's velocity is 10 m/s

Explanation:

We can use conservation of momentum:

\(P_{1i} +P_{2i} =P_{1i} +P_{2i}\\1 * 15 + 1.5 * 0 = 1 * 0 + 1.5 * v\\15 = 1.5 * v\\v=\frac{15}{1.5} \,\frac{m}{s} \\v=10 \,\frac{m}{s}\)

robert pushes a car 50 meters with a force of 1000 N. how much has he done

Answers

Robert has done 50,000 Joules of work in pushing the car 50 meters with a force of 1000 N

What is Work?

Work is a measure of energy transfer that occurs when a force is applied to an object and causes it to move in the direction of the force.

Equation:

To calculate the work done by Robert in pushing the car, we need to use the formula:

work = force x distance x cos(theta)

In this case, the force is 1000 N, the distance is 50 meters, and we assume that the force is applied parallel to the ground, so theta is 0 degrees. Therefore, cos(theta) is equal to 1.

Plugging in these values, we get:

work = 1000 N x 50 m x 1

work = 50,000 Joules

Therefore, Robert has done 50,000 Joules of work.

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Hey guys can you help me with this problem it's giving me a headache. "If 2500 kg roller coaster car begins its descent from 500m above above the first hill. What is its kinetic energy at the bottom of the hill."

Answers

The kinetic energy of the roller coaster at the bottom of the hill is 12250000 J

To answer this question, we must understand that the energy of a system is always conserved as explained by the law of conservation of energy.

The kinetic energy of the roller coaster will be equivalent to the potential energy of the roller coaster.

The kinetic energy of the roller coaster can be obtained as follow:

Mass (m) = 2500 KgHeight (h) = 500 mAcceleration due to gravity (g) = 9.8 m/s²Kinetic energy (KE) =?

Kinetic energy = Potential energy

KE = mgh

KE = 2500 × 9.8 × 500

KE = 12250000 J

Therefore, the kinetic energy of the roller coaster is 12250000 J

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Gravity is affected by (2 points)
force only
force and distance
mass and distance
force and mass

Answers

Answer:

Mass and distance

Explanation:

Answer:

Mass and distance

Explanation:

the larger the mass the faster it falls or more gravity is applied same goes for the distance the farther it is from the ground its heavier however if its to far gravity then does not apply

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certain force is expressible as F= 10i+bj. What is the value of b if the magnitude the force is 26N?​

Answers

The value of  force b if the magnitude the force is 26N is determined as 24 N.

What is the value of force b?

The value of force is calculated by applying the formula for determining the magnitude of a force as shown below;

The magnitude of a force is calculated as;

F = √ x² + y²

where;

x is the component of the forcey is the y component of the forceF is the magnitude of the force

The given magnitude of the force = 26 N

The x component of the force = 10

The y component of the force = b

26 = √ ( 10²  + b² )

26² = 10² + b²

676 = 100 + b²

b² = 676 - 100

b² = 576

b = √ 576

b = 24 N

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A 1.2 kg ball drops vertically onto a floor hitting with a speed of 15 m/s

Answers

The magnitude of the change in momentum is 36 kg m/s.

The momentum of an object is defined as the product of its mass and velocity.

The symbol for momentum is p. Its unit is kilogram meters per second (kg m/s). When a ball falls vertically onto a surface, the momentum is said to change.

The magnitude of the change in momentum can be found by calculating the difference between the initial momentum and the final momentum.

We can use the equation below to find the change in momentum.Δp = pf - pi

Where Δp is the change in momentum, pf is the final momentum, and pi is the initial momentum.The initial momentum of the ball can be found using the equation:

p = mv

where p is momentum, m is mass and v is velocity.

Therefore, the initial momentum of the ball is:

p = mv= 1.2 kg × 15 m/s= 18 kg m/s

The final momentum can be found using the same equation, but with a negative velocity since the ball is bouncing back with the same speed but opposite direction.

Therefore, the final momentum is:-18 kg m/s/

The change in momentum can now be calculated using the equation:

Δp = pf - piΔp = (-18 kg m/s) - (18 kg m/s)Δp = -36 kg m/s

Therefore, the magnitude of the change in momentum is 36 kg m/s.

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inquiry based pedagogy is being embraced in principle across the globe . in the last decade , it has been supported by an increasing body of research on its effectiveness . illustrate your understanding of the concept of inquiry based pedagogy with a relevant example.( 10 marks)​

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Inquiry-based pedagogy empowers students to explore, question, and construct knowledge through active engagement. It encourages curiosity, critical thinking, and independent investigation, fostering a deeper understanding of concepts and skills that extend beyond the classroom.

Inquiry-based pedagogy is an approach to teaching and learning that emphasizes the active engagement of students in the exploration of meaningful questions, problems, or phenomena. It encourages students to ask questions, investigate, and construct their own knowledge through critical thinking, problem-solving, and hands-on experiences. Here's an example to illustrate the concept of inquiry-based pedagogy:

Example: Exploring Ecosystems

In a biology class, the teacher introduces the topic of ecosystems using an inquiry-based approach. The teacher poses a driving question to the students: "How do living organisms interact with their environment to form ecosystems?"

1. Questioning and Investigation: Students begin by generating their own questions related to ecosystems. They might wonder about the roles of different organisms, energy flow, or the impact of human activities. Guided by their questions, they conduct research, gather information from various sources, and share their findings.

2. Hands-on Exploration: The teacher organizes hands-on activities to allow students to observe and explore ecosystems firsthand. For example, they could set up mini-ecosystems in terrariums or conduct field trips to local habitats. Through these experiences, students can make observations, collect data, and analyze patterns.

3. Collaborative Learning: Students work in groups or pairs to analyze the data they have collected and draw conclusions. They engage in discussions, share their ideas, and challenge each other's thinking. This collaborative learning environment promotes critical thinking, communication, and teamwork.

4. Reflection and Presentation: Students reflect on their findings and insights gained from their investigations. They are encouraged to synthesize their learning into presentations, reports, or visual representations. These presentations provide opportunities for students to articulate their understanding and demonstrate their learning outcomes.

By engaging in inquiry-based learning, students develop essential skills such as critical thinking, problem-solving, communication, and self-directed learning. They become active participants in their own education, taking ownership of their learning process and developing a deeper understanding of the subject matter.

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A 2 kg mass hangs motionless from a spring with spring constant 8 N/m. Howfar will the spring stretch if the mass is motionless?

Answers

\(\begin{gathered} \text{Spring constant = K= 8N/m} \\ \text{mass}=\text{ m = }2\operatorname{kg} \\ \text{gravity = }g=9.81m/s^2 \\ stretch\text{ing = x =?} \\ \text{spring force = Kx} \\ Kx=mg \\ \text{Solving x} \\ x=\frac{mg}{K} \\ x=\frac{(2kg)(9.81m/s^2)}{\text{8N/m}} \\ x=2.4525m\approx2.45m \\ \text{The stretching is 2.45m} \end{gathered}\)

A 2 kg mass hangs motionless from a spring with spring constant 8 N/m. Howfar will the spring stretch
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