A is a sphere that is traveling with velocity of (3,7)m/s and had a mass of 5 kg .it collide with sphere B and both particle move together with velocity of (1,4)m/s after the collision. Sphere B has a mass of 4 kg . Find the velocity of B before the collision

When the ball hits the racquet, it gets squished, and it gains elastic energy, since it is compressed.

Answer:

Car

Explanation:

Based on Newton 2nd law, energy are conserves. Meaning that if the Force is equal, the car with lower mass must be travelling in a much greater acceleration.

F = m.a

where,

a = Δv/Δt

When talking about energy, there are 2 factor: mass and velocity.

The change of Kinetic energy experience by the car is

ΔEk = 1/2.m.Δv²

Eventhough the car has smaller mass, notice that the velocity will be squared. In this case the velocity is the a more dominant factor. It means that energy absorbed by the car is much larger.

Answer: Velocity=0

Explanation: At equilibrium the spring system is not moving.

To calculate the total resistance of the two resistors in series, we add them:

R_total = R₁ + R₂ = 12 ohm + 24 ohm = 36 ohm

To calculate the total current flowing in the circuit, we use Ohm's Law:

I = V / R_total = 6.0 V / 36 ohm = 0.17 A

The current flowing in R₁ is the same as the total current, since they are in series:

I₁ = 0.17 A

The current flowing in R₂ is also the same, since they are in series:

I₂ = 0.17 A

To calculate the total power consumed by R₁ and R₂, we use the formula:

P = I²R

For R₁:

P₁ = I₁²R₁ = (0.17 A)²(12 ohm) = 0.35 W

For R₂:

P₂ = I₂²R₂ = (0.17 A)²(24 ohm) = 0.71 W

The total power consumed by both resistors is:

P_total = P₁ + P₂ = 0.35 W + 0.71 W = 1.06 W

Answer:

1. The total resistance of the two resistors:

Since the resistors are connected in parallel.

Total resistance = R₁ + R2

Total resistance = 12 ohm + 24 ohm

Total resistance = 36 ohms

2. The total current flowing in the circuit:

I = V/R

where ,

I = 6.0 V /36 ohm

I = 0.17 amperes

3. The current flowing in R₁

Since he two resistance R₁ and R₂ are connected in series. The current flowing through these two will be equal to the total current flowing in the circuit.

Current flowing in R₁ = 0.17 A

4. The current flowing in R2 = total current flowing in the circuit:

The current flowing in R₂ = 0.17 A.

5. The total power consumed by R₁ and R₂

power consumed by R₁

P = I²R

P = (0.17)²/12

P = 0.0289/12

P = 0.35 (approx)

Now, power consumed by R₂

P = (0.17)² × 24

P = 0.0289 × 24

P = 0.70 (approx)

Total power = power consumed by R₁ + R₂

Total power = 0.35 + 0.70

Total power consumed = 1.05 W

Answer:

A  1.25 m²

Explanation:

Here's the circuit diagram:

```

   +---R₁---R₂---+

   |             |

   -             -

  (6V)          ( )

                 |

                 |

                 |

                 |

                 |

                 |

                 |

                ( )

                -

```

Calculations:

1. The total resistance of the two resistors:

  R_total = R₁ + R₂

          = 12 ohm + 24 ohm

          = 36 ohm

  Answer: 36 ohm

2. The total current flowing in the circuit:

  I = V / R_total

    = 6.0 V / 36 ohm

    = 0.167 A

  Answer: 0.167 A

3. The current flowing in R₁:

  I₁ = V / R₁

     = 6.0 V / 12 ohm

     = 0.5 A

  Answer: 0.5 A

4. The current flowing in R₂:

  I₂ = V / R₂

     = 6.0 V / 24 ohm

     = 0.25 A

  Answer: 0.25 A

5. The total power consumed by R₁ and R₂:

  P = I² * R_total

    = (I₁ + I₂)² * R_total

    = (0.5 A + 0.25 A)² * 36 ohm

    = 0.1875 * 36 ohm

    = 6.75 W

  Answer: 6.75 W

(a) The S-P difference (sec) is 40 sec.

(b) The amplitude (mm) is 10 mm

(c) The distance (km) is 380 km

(d) The magnitude (M) is 4.5

The S-P wave difference (sec) is a measure used in seismology to determine the distance between a seismic station and an earthquake source.

From the graph, the S-P difference, that is between S and P = 40 s - 0 s

= 40 s

The distance (km) corresponding to 40 sec is 380 km.

The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.

The corresponding magnitude of the wave is 4.5.

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The Kinetic energy of the car with a mass of 80 grams is 0.40 joules

From the graph given, we can see that the as the mass increase, the kinetic energy also increase. Thus, we can say that the kinetic energy and mass of the car are in direct proportionality.

Now, we shall obtain the velocity of the car. Details below:

KE = ½mv²

0.1 = ½ × 0.02 × v²

0.1 = 0.01 × v²

Divide both side by 0.01

v² = 0.1 / 0.01

Take the square root of both side

v = √(0.1 / 0.01)

v = 3.16 m/s

Finally, we shall determine the kinetic energy of the car of mass 80 grams. Details below:

KE = ½mv²

KE = ½ × 0.08 × 3.16²

Kinetic energy = 0.40 joules

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The adjacent compressions in the sound wave are 0.155 meters apart.

This distance is also known as the wavelength of the wave. We are given the frequency of the vibration and the speed of sound in air. The formula for wavelength is:

wavelength (λ) = speed of sound (v) / frequency (f)

We are given the frequency of the sound wave as 2200 Hz and the speed of sound through air as 340 m/s.

Plugging these values into the formula gives:

λ = 340 m/s / 2200 Hz = 0.155 meters

Therefore, adjacent compressions (i.e., wavelengths) in the sound wave are a distance of 0.155 meters apart.

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It takes source B 40 s to complete two half lives.

The half-life of a chemical is the amount of time it takes for half of the atoms in a sample to decay. This concept is widely used to describe how quickly a substance decays radioactively in nuclear physics and radiochemistry. Each radioactive substance has a unique half-life due to the properties of each atomic nucleus.

Looking at the graph, we can see that the half life of the source B is 20s .

Hence the time taken to complete two half lives = 2(20 s) =  40 s.

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_______________________________

Notes:

1grain = 64.8mg

1newton = 100g

= 300 m/s (speed)

= 30 × 100

= 3,000g (rifle mass)

= 5-g × 64.8

= 324mg (bullet mass)

= 700 × 100

= 70,000g (human mass)

= 70,000g + 3,000g

= 70,300g (human + rifle mass)

_______________________________

The final velocity of the ball to one decimal place is approximately 10.0 m/s.

From the third equation of motion:

v² = u² + 2as

Where v is final velocity, u is initial velocity, a is acceleration and s is the distance covered.

Given that:

Plug the given values into the abovr formula and solve for the final velocity v.

v² = u² + 2as

v² = 0² + ( 2 × 6.4 m/s² × 7.8 m )

v² =   2 × 6.4 m/s² × 7.8 m

v² = 99.84 m²/s²

v = √(  99.84 m²/s² )

v = 10.0 m/s

Therefore, the final velocity is 10.0 m/s.

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Answer:

Explanation:

The answer is D. 0  ;

As We know when the net external force on an isolated system is absent then the total linear momentum of the system remains conserved.

=> By Conservation of linear Momentum of the system;

=> P1=P2  i.e initial momentum= final momentum;

=>if final momentum is '0' that is they are in rest position velocity is 0;

  So momentum is 0 By p=mv;

Hence initial momentum  will be zero;

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The initial momentum of the girl can be calculated using the formula:

p = mv

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

Since the boy and the girl are at rest on the frozen pond, their initial velocity is zero. Therefore, the initial momentum of the girl is:

p = mv = (40 kg)(0 m/s) = 0 kgm/s

So, the answer is D. 0 kgm/s.

Ritalin and Demerol are both controlled substances that have a high risk of abuse and dependence.

Schedule II drugs are believed to have a high abuse potential that could lead to severe psychological or physical dependence. They do, however, occasionally have other known medical applications and can be prescribed by a licensed healthcare provider.

Ritalin is an example of a stimulant, whereas Demerol is an example of an opioid. Thus the drugs that have been mentioned here are drugs that are strictly controlled.

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A chemical process known as hydrogen displacement occurs when hydrogen gas is replaced or displaced by another element or molecule.

It results from a number of reactions, most of which involve a reactive metal or substance. A metal reacting with an acid can displace hydrogen atoms of the acid, resulting in the formation of a salt and the release of hydrogen gas as an example.

Another example is the interaction of a metal with water molecules, which displaces hydrogen atoms and results in the formation of metal hydroxide and hydrogen gas. Chemistry studies hydrogen displacement reactions in great detail because they are important for understanding the reactivity of various compounds. They shed light on the behavior of elements, how well they can replace hydrogen, and how new compounds are formed.

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Despite having different molecular sizes, two substances can have the same boiling point due to the presence of intermolecular attractions that compensate for the difference in molecular weight.

Despite having different molecular sizes, two substances can have the same boiling point due to the presence of intermolecular attractions that compensate for the difference in molecular weight.

These intermolecular attractions, such as London dispersion forces, dipole-dipole interactions, or hydrogen bonding, play a crucial role in determining a substance's boiling point. For example, the larger molecules may have more surface area for London dispersion forces to act upon, while smaller molecules may have more polar groups for dipole-dipole interactions or hydrogen bonding.

As a result, these different types of intermolecular forces can offset each other, leading to substances with different molecular sizes having the same boiling point.

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Answer:

f = 15/4 = 3.75

Explanation:

The linear speed of the blade tip is approximately 114 m/s.

The radial acceleration of the blade tip is approximately 488 times the acceleration of gravity, g.

(a) To calculate the linear speed of the blade tip, we need to convert the rotational speed from revolutions per minute (RPM) to radians per second. One revolution is equivalent to 2π radians, so the angular velocity of the rotor is 550 rev/min x (2π/60) = 57.54 radians/second.

The linear speed of the blade tip is then the product of the angular velocity and the length of the blade, giving us 57.54 radians/second x 3.40 m = 195.6 m/s.  The blade tip is only a small fraction of the total length of the blade, so we can assume that the linear speed of the blade tip is approximately equal to the linear speed of the rotor at a radius of 3.40 m. Therefore, the linear speed of the blade tip is approximately 114 m/s.

(b) The radial acceleration of the blade tip is given by the formula ar = rω², where r is the radius of the blade and ω is the angular velocity of the rotor in radians per second. Substituting in the values given, we get ar = (3.40 m) x (57.54 radians/second)² = 11,976 m/s². To express this in terms of g, we divide by the acceleration due to gravity, g = 9.81 m/s², giving us ar/g ≈ 488.

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Answer:

C. 110 kgm/s

Explanation:

Law of Conservation of Momentum states that total momentum before the collision must equal total momentum after the collision.

Momentum = p = mv

x = final velocity of the blue train

(50 kg)(4 m/s) + (30 kg)(0 m/s) = (50 kg)(x) + (30 kg)( 3 m/s)

200 kg·m/s + 0 = (50 kg)(x) + 90 kg·m/s

50 kg(x) = 110 kg·m/s

x = (110 kg·m/s)/(50 kg) = 2.2 m/s

p-final (blue train) = (50 kg)(2.2 m/s) = 110 kg·m/s

Answer:

According to the law of conservation of momentum, the total momentum of the system before and after the interaction must be equal.

The total initial momentum of the system is:

P_initial = 50 * 4 + 30* 0 = 200kgm/s

The total final momentum of the system

let the velocity of the blue train is=v

P_final = 30* 3 + 50* v = 200

after solving v=2.2m/sec

the momentum of blue train will be= 50* 2.2=110kgm/s

The time it will take the block to fall the entire distance is (a) √3t₁.

Use the equations of motion to solve this problem. The equation to use is:

S = (1/2)gt²

where S = distance, g = acceleration due to gravity, and t = time.

First find the time it takes to fall the first third of the distance. The distance fallen is S₁ = x/3, so:

x/3 = (1/2)gt₁²

Solving for t₁:

t₁ = √((2x)/(3g))

Now, find the time it takes to fall the entire distance. The total distance is S₂ = x, so:

x = (1/2)gt₂²

Solving for t₂:

t₂ = √((2x)/g)

Substituting x with 3S₁:

t₂ = √((6S₁)/g)

Substituting t₁:

t₂ = √((4x)/(3g)) = √(4/3)t₁

Therefore, the answer is (a) √3t₁.

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Answer:

1.53 N

Explanation:

The force required to stretch a spring is given by Hooke's law: F = k*x, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.

In this problem, we are given the mass and the displacement of the spring, but we need to find the spring constant before we can calculate the force.

The spring constant can be found using the equation k = F/x, where F is the force required to stretch the spring and x is the corresponding displacement.

Given that the 102 g mass stretches the spring by 4.0 cm, we have:

k = F/x = (mg)/x = (0.102 kg)(9.8 m/s^2)/(0.04 m) = 25.5 N/m

where g is the acceleration due to gravity.

Now, to calculate the force required to stretch the spring by 6.0 cm, we use the same equation with the new displacement:

F = kx = (25.5 N/m)(0.06 m) = 1.53 N

Therefore, the force required to stretch the spring by 6.0 cm is 1.53 N.

Answer:

Both hard copy and digital storage have their own advantages and disadvantages, and which one is better largely depends on the specific use case and personal preferences. Hard copies can be more reliable in case of power outages or system failures, and can be easily transported without requiring any special equipment. Digital storage, on the other hand, can be more convenient for accessing, sharing, and searching large amounts of data, and can be easily backed up and protected from physical damage. Ultimately, the choice between the two depends on the needs and priorities of the user.

Explanation:

I think that digital storage would be the better option of the two. The waste produced by paper-related industries does great harm to our ecosystem, using digital storage would help keep a reduction in pollution.

Also, having a hard copy paper, you might misplace and lose it. If you use digital storage you have easy access and retrieval. It can hold much more information, take up less space, and be created in a shorter amount of time than analog methods.

The time taken to get up and out of the way before you and the child collide is 2.82 s.

The time taken to get up and out of the way before you and the child collide is calculated as follows;

s = v + ¹/₂at²

s = v + ¹/₂(g sin (31)t²

where;

The time taken to get up is calculated as;

20 = 0 +  ¹/₂(9.8 sin (31)t²

20 = 2.524t²

t² = 20/2.524

t² = 7.925

t = 2.82 s

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Living outside the Earth, on the Moon or Mars, is a future possibility with continued research.

The idea of living outside of Earth has been a subject of interest for many years. While it may seem like a daunting task, it is definitely possible. Advancements in technology have made it easier to explore space and even establish human settlements on other planets.

Living on the Moon or Mars would require creating sustainable ecosystems that provide food, water, and oxygen for the settlers. It would also require building living quarters that can withstand the harsh environmental conditions on these planets.

However, we are still a long way from achieving this goal, and it will likely take several decades or even centuries before we can establish a permanent human presence on another planet.

Nonetheless, with continued research and development, we may one day be able to call another planet our home.

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Answer:

The water cycle outlines the continuous water movement in liquid, solid and gaseous state between locations on the Earth's surface.

The glass jar represents the lake while the atmosphere is represented by the space above the water, and the sky is represented by the (clear) plastic wrap

Arrangement description and Processes;

The processes of the water cycle includes;

Evaporation;

Condensation

Precipitation

Sublimation

Runoff

Infiltration

The arrangement of the materials is as follows;

Place the glass jar (the lake) containing water and the lamp (the Sun) side by side, such that the lamp light shines on the water surface

Cover the glass jar by wrapping the plastic wrap (the sky) around it to prevent the escape of water vapor when the water is hot.

Switch on the lamp so that it heats the water by radiation heat transfer

Observed processes;

The processes demonstrated by the above experiment includes;

1) Evaporation: As the water in the glass jar becomes warmer, the level of the water in the jar can be observed to decrease slightly due to evaporation

2) Condensation: Fog formation, Clouds

When hotter, the water surface as seen through the clear plastic wrap becomes less clearer due to evaporation, and condensation of the vapor while floating above the water surface, similar to the clouds seen in the sky.

3. Precipitation: Rain;

The clear plastic wrap covering the top of the glass jar, prevents the movement of the vapor further away, such that the tiny condensed vapor gather together, to form big droplets under the plastic wrap that falls back into the jar, which is similar to the process of rainfall

The above processes are repeated as more water evaporates from the jar condenses on the plastic wrap and falls back into the jar, showing the process by which water is recycled from the lake into the atmosphere and back to the lake.

Explanation:

(a) The S-P difference of the wave is determined as is 40 sec.

(b) The amplitude of the wave is determined as is 10 mm

(c) The distance of the wave is determined as is 380 km

(d) The magnitude of the wave is determined as is 4.5

The amplitude of a wave is the maximum displacement or distance that a wave moves from its rest position to its crest (the highest point) or trough (the lowest point). In other words, it is the measure of the strength or intensity of a wave.

Question 1:

From the graph, the S-P difference, that is between S and P = 40 s - 0 s

= 40 s

Question 2:

The distance (km) corresponding to 40 sec is 380 km.

Question 3:

The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.

Question 4:

The corresponding magnitude of the wave is 4.5.

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Answer:

We can approach this problem using the conservation of momentum and the conservation of kinetic energy.

Conservation of momentum:

The momentum before the collision is given by:

p1 = m1v1 = m1viî

where m1 is the mass of each proton (which we assume to be the same) and v1 is the velocity of the initially moving proton.

The momentum after the collision is given by:

p2 = m1v1' + m1v2'

where v1' and v2' are the velocities of the two protons after the collision.

Since the collision is elastic, the total momentum is conserved:

p1 = p2

m1viî = m1v1' + m1v2'

We can simplify this equation by dividing both sides by m1:

viî = v1' + v2'

Conservation of kinetic energy:

The kinetic energy before the collision is given by:

K1 = (1/2)m1 We need the value of the velocity v1, which is not given in the problem statement.

Answer:

Explanation:

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