Speed and velocity
Number 1-5​

(a) The rate of change of momentum of the water is 333.33 kgm/s².

(b) The force exerted by the building against the water is -333.33 N.

(c) The force exerted by water against the building is 333.33 N.

The rate of change of momentum of the water is calculated by applying the following equation as shown below.

ΔP/t = mv / t = (m/t)v

where;

ΔP/t = ( 1000 kg x 20 m/s ) / ( 1 min x 60 s )

ΔP/t = 333.33 kgm/s²

Based on Newton's third law of motion, action force and reaction force are equal and opposite. If the water exerts a certain force against the building, the building will exert equal and opposite force against the water.

The force exerted by water against the building, F = ma = (mv) / t

F = (mv) / t = 333.33 N

The force exerted by the building against the water;

F = - 333.33 N

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Answer: The relationship between current, voltage and resistance is expressed by Ohm's Law. This states that the current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit, provided the temperature remains constant.

Explanation:

Helium is the only element in group 18 that is a noble gas. It does not react with other elements and does not form compounds.

Noble gases are a group of elements found in the periodic table that are known for their inertness, or resistance to chemical reactions. They are the most stable elements in their respective rows. The noble gases are helium, neon, argon, krypton, xenon, and radon. They have all been discovered in nature, though some only in trace amounts. Noble gases have unique atomic structures, with their outermost electron shells completely filled with electrons.

Helium also has the lowest boiling point and melting point of the elements in group 18. In comparison to the other elements in group 18, helium is the lightest and least dense.

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The shortest distant will be the diagonal of the square. The value of the diagonal of the square is 127.3 feet.

Square is a figure with a four sides that has the same value for each. The formula for its diagonal is sides√2. As per given sides is 90 feet. The calculation will be:

Diagonal = sides√2

Diagonal = 90√2

Diagonal = 90 x 1.41421356237

Diagonal = 127.279220613

Let round the value. So, the diagonal = 127.3 feet. You can also determine diagonal value from phytagoras theory by dividing the square into 4 triangle then calculate the diagonal.

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A pile of gunpowder can represent chemical potential energy , while a flying pulley can represent mechanical kinetic energy.

Thermal energy is kinetic energy associated with the random motion of atoms and molecules. Temperature is a quantitative measure of “hot” or “cold.” When the atoms and molecules in an object are moving or vibrating quickly, they have a higher average kinetic energy (KE), and we say that the object is “hot.”

The specific heat capacity (c) of a substance, commonly called its “specific heat,” is the quantity of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius (or 1 kelvin)..

Like matter, energy comes in different types. One scheme classifies energy into two types: potential energy, the energy an object has because of its relative position, composition, or condition, and kinetic energy, the energy that an object possesses because of its motion.

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The force with which the second astronaut is pushing is 11.25 N in the problem given.

We have to note that force is a vector and because that force is a vector, we know that the direction of the force that has been applied is also very important.

As we know, it is clear that;

Force of an astronaut Fₓ = 42 N

Angle θ = 15º

Then we can write that;

F = 42 tan 15

= 11.25 N

Thus, the force that acts as the second astronaut is pushing is about 11.25 N.

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The thing that will  probably happen if you tried to bake bread without using yeast is that dough may not rise as tall as you're used to because of the lackof the yeast composition in the dough.

Lemon juice and baking soda mixed in equal parts can be used as a substitute for yeast. So, if a recipe calls for 1 teaspoon of yeast, you can use 1/2 teaspoon each of baking soda and lemon juice. Remember that the dough will start rising immediately, and the bread won't need to prove for the usual amount of time.

You could find that your dough doesn't rise as much as usual and that the flavor and texture are different. However, these alternatives are definitely worth investigating if you run out of yeast, don't have time to wait for bread to rise, or are attempting to eliminate yeast from your diet for health reasons.

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The mass of the twig is determined as 7.5 g.

The mass of the twig is calculated by applying the principle of conservation of linear momentum as shown below.

This principle states that the sum of initial momentum of a system is equal to the sum of the final momentum of the system, provided the system is isolated.

Pi = Pf

where;

(0.4  x m ) = ( 1.2 x 2.5 )

m = ( 1.2 x 2.5 ) / ( 0.4 )

m = 7.5 g

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Answer:

222.222m/s

Explanation:

Convert 800 km per hour to m/s

[tex] \frac{800km}{hr \\ } = \frac{800 \times 1000m}{60 \times 60sec} [/tex]

[tex] \frac{8 \\ 00000m}{3600s} [/tex]

[tex] = 222.22222 m {s}^{ - 1} [/tex]

i hope this helps

Answer:

Force=mass × acceleration

or, acceleration=Force/mass

=2000/1500

:. Acceleration=1.33 m/s²

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The statement describing point D is "The net force is zero, so the acceleration is zero."

Simple Harmonic Motion is the alternating motion of an object through its equilibrium point. In simple harmonic motion, the object accelerates in a direction toward the equilibrium point. Acceleration that occurs in simple harmonic motion is caused by a rebound force.

The speed of the object at the equilibrium point is maximum. Examples of simple harmonic motion are the alternating motion of a pendulum and the alternating motion of a mass-spring system.

The acceleration of an object will be proportional to the amount of force (force results) acting on the object and inversely proportional to its mass.

At point D we are in a situation where the spring passes its equilibrium position, so x=0, therefore the net force is zero and the acceleration is zero.

The question is multiple choice:

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Where, a is the acceleration of the car at the top of the loop. Thus, the minimum speed required to safely make it through the loop is about 12.12m/s 12.12 m / s .

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Meter is a metric unit of measure that measures length and distance because area is not any of the measurement unit.

We always measure the physical properties of a thing using particular units. For example, the unit for measuring your bodyʼs mass is the pound and the unit for measuring your height is inches. But, of course, itʼs not as simple as that. If you use the metric system you measure your mass in kilograms, not pounds, and you measure your height in centimeters.

And even if you measure your height in inches, you are probably mix two different units: feet and inches. Although we can measure the mass and lengths of the devices and we deal with in computer architecture, we are typically more interested in a third property.

Time (measurement unit: the second) and the related properties of period and its reciprocal, frequency. Furthermore, computers manipulate physical representations of information, which has its own measurement unit.

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Answer:at night.

Explanation:

The speed of the child is 14.28 m/s at the bottom of the hill.

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

Initial potential energy = final kinetic energy

mass × acceleration of gravity × height = 1/2 × mass × speed²

Speed = √( 2 × 9.81 m/s² ×10.4 m)

Speed = 14.28 m/s

So, the speed of the child is 14.28 m/s at the bottom of the hill.

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The total work required to increase the speed of the mass to 11.5 meters per second is 67.5 Joules.

Speed is the rate of motion, velocity, or the rate of change of position in a given period of time. It is a measure of how quickly an object or person moves from one place to another. Speed is usually measured in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed is an important factor in many sports, such as running, cycling, swimming, and racing. It also plays a role in everyday activities such as driving, walking, and getting around. Speed is a key factor in safety, as it can help people stay ahead of potential risks and hazards.

The total work that must be done on the mass is given by the equation W = F x d,
Where W is the work done,
F is the net force applied,
and d is the displacement.

In this case, the displacement is the change in velocity, or 4.5 meters per second.
The force needed to accelerate the mass to 11.5 meters per second is given by the equation F = m x a,
where m is the mass (15 kilograms) and a is the acceleration (4.5 meters per second2).
Therefore, the total work required to increase the speed of the mass to 11.5 meters per second is W = 15 x 4.5 = 67.5 Joules.

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A 5.6kg ball has rolled down a hill. At the bottom of the hill, the ball is moving 2.4 m/s. The kinetic energy of the ball is 16.128 Joules.

The energy that an object possess as a result of motion is termed  as kinetic energy.KE is determined  as the effort needed to move a mass-determined body from rest to the indicated velocity for it motion. The body holds onto the kinetic energy it acquired while its acceleration until its speed changes.

Solution:

Given:

Mass of the ball = 5.6kg

g=9.8m/s

velocity=2.4 m/s

Kinetic energy =(1/2)mv^2,

Kinetic energy=(1/2)5.6*2.4^2

Kinetic energy=16.128 Joules

mgh=1/2 mv^2

h=1/2 mv^2/mg

h= 16.128 /5.6*9.8

h=28.224m

Hence, the hill was 28.224m high.

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The lightning is formed by  two objects with different electric charges rub together Hence, option (D) is correct.

Charges created by rubbing can be used to explain lightning. The water droplets flow downhill during a thunderstorm while the air currents rise higher.

As a result of this process, the positive charges gather close to the cloud's upper edge, while the negative charges gather close to the cloud's lower edge and also close to the ground.

The charge's magnitude increases significantly as it builds up. Airborne water droplets serve as a conductor for this charge.

Lightning and thunder are produced when these charges flow to meet.

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Answer: C raindrops conduct electricity from clouds to the ground

Explanation:

Answer:

0.27475 N

Explanation:

To find the net force acting upon q2, we need to find the force exerted by q1 to q2 and the force exerted by q3 to q2, and to do that we should apply the formula

[tex]F = |\frac{kq_{1}q_{2} }{r^{2} }|[/tex]

where in k is coulomb's constant ([tex]8.99*10^9 \frac{Nm^{2}}{C^{2}}[/tex])

q1 and q2 are the charges

and r is the distance between the two charges.

Finding the force exerted to q2 by q1:

[tex]F = |\frac{(8.99*10^{9} * (-5*10^{-6}) * (2.5*10^{-6})}{(0.500)^{2}}|[/tex]

F = 0.4995 N

q1 would be attracted to q2, so it would go to the right, so it's a positive force

Finding the force exerted to q2 by q3:

[tex]F =|\frac{(8.99*10^{9})*(-2.5*10^{-6})*(2.5*10^{6})}{0.250^{2}}|[/tex]

F = 0.22475 N

q3 would be attracted to q2, so it would go to the left, so it's a negative force

F = -0.22475N

Add-up the forces: 0.4995 + (-0.22475) = 0.27475 N

Answer:

The movement of a 2000-kg truck travelling at 19 m/s is 38,000 kgm/s.

Smaller ions have greater conductivity than larger ions.

The molar conductivity is the conductivity per mole: as the concentration grows, so does the number of charge carriers, and hence the conductivity. The molar conductivity would be constant if the quantity of ions scaled perfectly with the concentration of electrolyte.

However, the conductivity per ion decreases because ions do not act as totally independent charge carriers: they combine, and the rate at which they combine increases as the number of ions increases. This behavior leads to Kohlrausch’s Law (the law you mentioned at the beginning of your query), which is only applicable for strong (completely dissociated) electrolytes.

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τnet = (TL ‐ TR)R is the needed net torque just on pulley about the axle.

A flexible line, cord, rope, chain, or belt is fastened to the rim of a wheel termed as a pulley. To transport motion and energy, pulleys may be employed singly or in combination.

If TL and TR are really the stresses pulling there at left and the sides of the pulleys, respectively, the net torque here on pulley would then be defined as net = (TL - TR)R, in which R represents the radius of pulley (see Fig. 1). It is believed that positive torque moves in a clockwise direction.

This means that  τnet = (TL ‐ TR)R is the necessary formula for net torque.

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Inability of Wegener to provide adequate explanation of the forces responsible for continental drift and prevailing belief that the earth was solid and immovable resulted in scientific dismissal of his theories.

The primary reason that Wegener's hypothesis could not be accepted was because he suggested no mechanism for the moving of continents. He thought that the force of Earth's spin was sufficient enough to cause continents to move, but geologists knew that rocks are too strong for this to be true.

Wegener is not qualified to propose theories in the fields of geology and  history of Earth because there was no mechanism available to endorse his proposals and offer convincing and truthful explanation.

The fossils could naturally be located in the places Wegener found them because fossils are mostly found where sedimentary rocks of the right age are exposed, such as river valleys, cliffs and hillsides.

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Answer:

a. 16 kg m/s

b. -32 N (Newton)

c. 32 N

Explanation:

a. The momentum of an object is the product of its mass and velocity. The formula for momentum is: momentum = mass x velocity

So, in the case of an 8-kg bowling ball rolling at 2 m/s, the momentum would be: momentum = 8 kg x 2 m/s

= 16 kg m/s

The unit of momentum is kg m/s (kilogram meter per second). The momentum of this bowling ball is 16 kg m/s. It is important to note that the direction of velocity is also important when calculating momentum, so it is important to know the direction of the bowling ball.

b. To calculate the average force that the bowling ball exerts on the pillow, we can use the equation: force = change in momentum / change in time

The change in momentum is equal to the final momentum minus the initial momentum. Since the bowling ball is rolling at 2 m/s and stops in 0.5s, we can assume that its final momentum is 0 (since it stops moving) and the initial momentum is 16 kg m/s.

change in momentum = final momentum - initial momentum

= 0 - 16 kg m/s

= -16 kg m/s

change in time = 0.5s

So,

force = -16 kg m/s / 0.5 s

= -32 N (Newton)

The negative sign indicates that the force is opposite to the direction of motion of the bowling ball. This is expected as the force exerted by the pillow is acting in the opposite direction of the ball's motion, thus slowing it down and bringing it to a stop.

It is important to note that the force exerted by the pillow on the bowling ball is equal and opposite to the force exerted by the bowling ball on the pillow, this is Newton's third law of motion.

c. The average force that the pillow exerts on the ball is equal and opposite to the average force that the ball exerts on the pillow, as stated by Newton's third law of motion. This is because when the ball collides with the pillow, the pillow exerts an equal and opposite force on the ball to stop its motion. Therefore, the average force that the pillow exerts on the ball is 32 N, in the opposite direction of the ball's motion.

Deceleration of 1/6 m/s2

Initial Velocity(u) = 25m/s

Final velocity(v) = 0 m/s

Time taken in reaching velocity 0 (t) = 150 s

so as we know from the equation of 2 dimension motions that

So  

As we know that the acceleration is negative so we can conclude that it is a deceleration of 1/6 meter per second square. In the given Question, the information of Fifty - car train has no use in solving acceleration or deceleration.

Acceleration is always Positive as it Increases the speed of the body but Deceleration is negative as it for reducing the speed.

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Iron filings arrange around a U-shaped magnet because of the magnetic field generated by the magnet. The magnetic field creates invisible lines of force that extend out from the north pole of the magnet to the south pole. The iron filings align themselves along these lines of force, which form a pattern that is often described as "field lines." The U-shaped magnet has two poles, north and south, and the field lines extend from the north pole to the south pole, passing through the center of the U-shape. The filings align along these lines of force, forming a pattern that is often described as "field lines". As the filings come in contact with the magnetic field, they align in a pattern that is determined by the strength and direction of the magnetic field.

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Maximum resultant pulse will be 22.36 cm, if the amplitude of pulse A is 20 cm, and that of pulse B is 10 cm.

Equations of two superimposing waves with a phase difference of π/2, are:

y₁ = a₁sin(ωt) and y₂ = a₂sin(ωt + π/2) = a₂cos(ωt)

The equation of the resultant wave will be:

y = y₁ + y₂

y = a₁sin(ωt) + a₂cos(ωt)

Assuming a₁ = acos(Φ),  a₂ = asin(Φ)

So, y = asin(ωt+Φ)

(a₁)² + (a₂)² = a²(sin²Φ + cos²Φ)

(a₁)² + (a₂)² = a²

a = √((a₁)² + (a₂)²)

a = √(20²+10²)

a = √500

a = 22.36 cm.

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Answer: the process by which businesses or other organizations develop international influence or start operating on an international scale.

Explanation:

Answer:

Globalization is the free movement of goods, services and people across the world in a seamless and integrated manner. Globalization can be thought of to be the result of the opening up of the global economy and the concomitant increase in trade between nations.

hope that helps

Crash of two vehicles that are moving directly toward each other

This is a difficulty with momentum conservation. Each cart has a starting momentum equal to its mass multiplied by its velocity. When they hit and stick together, they become a single unit of combined mass of 4 kg + 5 kg, and their new velocity must account for momentum conservation.

Assume the 4 kilogram cart is coming from the left and the 5 kg cart is coming from the right. This results in a velocity of +12 m/s for the 4 kg cart and a velocity of -9 m/s for the 5 weight cart.

The carts’ early moments are

(4 kg * 12 m/s) = 48 kg * m/s

And

-45 (kg * m)/s = (5 kg * -9 m/s)

This results in a total starting momentum of 48 + (-45) = 3 (kg * m)/s.

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