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The kinetic energy of the blocks that is lost due to the collision is 8.64 J.

The initial speed of the smaller block is calculated by applying the following equation.

m₁u₁  +  m₂u₂ = v(m₁ + m₂)

where;

9u₁ + 27(0.5) = 0.9(9 + 27)

9u₁ + 13.5 = 32.4

9u₁ = 18.9

u₁ = 18.9/9

u₁ = 2.1 m/s

The total initial kinetic energy of the blocks is calculated as follows;

K.Ei = ¹/₂m₁u₁²  +  ¹/₂m₂u₂²

K.Ei = ¹/₂(9)(2.1)²    +    ¹/₂(27)(0.5)²

K.Ei = 23.22 J

The final kinetic energy of the blocks is calculated as follows;

K.Ef = ¹/₂(m₁ + m₂)v²

K.Ef = ¹/₂(9 + 27) x (0.9)²

K.Ef = 14.58 J

The change in the kinetic energy of the block is calculated as;

ΔK.E = K.Ef  -  K.Ei

ΔK.E = 14.58 J   -   23.22 J

ΔK.E = -8.64 J

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P = I²R = (10 A)² (120 Ω) = 120 000 Watts = 120 kW

The behavior of a clock sitting on the surface of a planet with a surface gravity of one g says that rim clock always runs slower

Gravity is the principal force acting on a body in projectile motion when it is hurled at a specific angle. The power with which the body is originally thrown determines maximum height and how far it will travel. When an object moves in a projectile motion, there are numerous instances in daily life. For instance, a basketball player will obliquely toss the ball at a specific angle towards the direction of the hoop. The ball then rises and descends like a missile in the direction of the basket. Other sports like cricket, football, and soccer may demonstrate this.

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N is less than mg hence, It slides with constant  acceleration a under the action of two forces

The rate at which an item changes its velocity is known as acceleration, a vector variable. If an object's velocity is changing, it is accelerating. A moving object can occasionally alter its velocity by the same amount every second. a moving object that changes its speed by 10 m/s per second. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration.

It is important to distinguish between an item with a constant acceleration and one with a constant velocity. Be not deceived! An object is accelerating if its velocity is changing, whether by a fixed amount or a variable quantity. Additionally, a moving item with a constant speed is not accelerating.

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The distance traveled by the object during the time interval from t = 2 s to t = 3s is 3m. Option C.

From the formula d = ½ at2 the displacement is proportional to the square of time. If you run twice as far from the rest, the displacement will quadruple (or 4m). Since the object has already moved 1 m in the first second, the remaining 3 m have moved in time intervals from 1 to 2 seconds.

This means that the velocity and net force in the direction normal to the plane must be zero. Assuming the plane is frictionless means that the plane exerts no force on the block parallel to the surface. For angular frictionless tilt, the acceleration is the result of the gravitational acceleration multiplied by the sine of the angle.

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The gravitational potential energy gained by the body of mass 52 kg when climbing a stairs is 1274 J.

Gravitational potential energy is the energy of a body due to its position in the gravitational field.

To calculate the gravitational potential energy, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the gravitational potential energy of the body is 1274 J.

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Answer:

M1 V1 + M2 V2 = (M1 + M2) V

Conservation of momentum where V is speed of combined vehicles

V = (1500 * 10 + 1500 * 5) / (1500 + 1500) = 7.5 m/s

We first apply the data to the problem.

Data:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

The car travels a distance of 50 meters.

Answer:

123.6 N

Explanation:

I will try to answer this

Find height of the ball

  9. 5   - 9.5 cos 35  = 1.72 m   of potential energy

   PE = mgh    will be converted to KE at the bottom of the swing

     mgh = 1/2  m v^2

    sqrt( 2 gh )  = v      at the bottom = 5.81  m/s

then the tension is the mass times the acceleration of gravity PLUS the acceleration of circular motion  v^2 / r

F = ma

F = 9.25 kg ( 9.81 m/s^2 + 5.81^2 / 9.5 m/s^2 ) = tension = 123.6 N

(Let me know if this is incorrect, and I will research a bit more)

B is your answer, hope it helps.

The maximum height reached by the frog is 0.185 m.

The maximum height reached by the frog is calculated by applying the following kinematic equation.

H = u² sin²θ / 2g

where;

H = (4.5²  x  (sin 25)²) / (2 x 9.8)

H = 0.185 m

Thus, the maximum height reached by the frog depends on the initial velocity and angle of the frog's projection.

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Answer:

Explanation:

Given:

m₁ = 8 kg

V₁ = 3 m/s

m₂ = 2kg

V₂ = 0

V₂' = 6 m/s

__________

V₁' - ?

m₁V₁ + m₂V₂ = m₁V₁' + m₂V₂'

8·3 + 2·0 = 8·V₁'  + 2·6

24 = 8·V₁' + 12

24 - 12 = 8·V₁'

12 = 8·V₁'

V₁' = 12 / 8 = 1.5 m/s

The motorcycle of mass 250 kg traveling at 30 m/s has more kinetic energy than a mass of 500 kg traveling at 15 m/s.

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

The kinetic energy of a body can be calculated using the following formula:

K.E = ½mv²

Where;

According to this question, two masses of 500kg and 250kg are traveling at speeds of 15m/s and 30m/s respectively.

K.E = ½ × 500 × 15² = 56250J

K.E = ½ × 250 × 30² = 112,500J

This shows that 112,500J, which is the motorcycle with mass of 250kg traveling at 30m/s is the highest.

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The horizontal component of the force pushing him forward is 37 N.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Frictional force due to ice, F =   μN

Normal force N = mg = 75*9.8 = 735 N

Frictional force = 0.05*735 = 36.75 N

Coefficient of friction, μ for ice is 0.05

The horizontal component of the force pushing him forward is 37 N.

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The magnitude of the mower's acceleration of mass 36 kg is 1.15 m/s².

Acceleration can be defined as the ratio of the change in velocity to the time of a body.

To calculate the magnitude of the mower's acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the mower is 1.15 m/s².

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Three reasons why it may be difficult to accelerate the bookcase are;

1) Inertia that acts on the book case

2) Frictional force that prevents the book case from moving

3) The weight of the book  case.

We know that the Newton law states that a body would tend to remain at a state of rest or uniform motion unless it is acted upon by unbalanced forces. When the book lies without movement it is acted upon by its weight and the reaction which are exactly balanced. The inertia is the reluctance of the book to move.

As the book begins to move when pull, the friction that is acting on the pull would also militate against the forward motion of the book as it acts in the opposite direction.

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The volume flow rate at which the water flows is 0.0188 m³/s

Since the horizontal pipe 10.0 cm in diameter has a smooth reduction to a pipe 5.00 cm in diameter and If the pressure of the water in the larger pipe is 8.00 × 10⁴ Pa and the pressure in the smaller pipe is 6.00 × 10⁴ Pa, since we require the rate at which water flows through the pipe, we use Bernoulli's equation at constant height to find the speed of flow.

Bernoulli's equation governs flows through pipes. It is given by

P₁ + ρgh₁ + 1/2ρv₁² = P₂ + ρgh₂ + 1/2ρv₂² where

With h₁ = h₂, the Bernoulli's equation becomes

P₁ + 1/2ρv₁² = P₂ + 1/2ρv₂²

Using the volume flow rate equation

Q = A₁v₁ = A₂v₂ where

So, A₁v₁ = A₂v₂

(πd₁²/4)v₁ = (πd₂²/4)v₂

d₁²v₁ = d₂²v₂

Making v₂ subject of the formula, we have

v₂ = d₁²v₁/d₂²

v₂ = (d₁/d₂)²v₁

Substituting v₂ into the Bernoulli equation, we have

P₁ + 1/2ρv₁² = P₂ + 1/2ρv₂²

P₁ + 1/2ρv₁² = P₂ + 1/2ρ(d₁/d₂)⁴v₁²

Making v₁ subject of the formula, we have

1/2ρv₁² - 1/2ρ(d₁/d₂)⁴v₁² = P₂ - P₁

1/2ρ[1 - (d₁/d₂)⁴]v₁² = P₂ - P₁

v₁² = √{2(P₂ - P₁)/ρ[1 - (d₁/d₂)⁴]}

Given that

Substituting the values of the variables into the equation, we have

v₁ = √{2(P₂ - P₁)/ρ[1 - (d₁/d₂)⁴]}

v₁ = √{2(6.00 × 10⁴ Pa - 8.00 × 10⁴ Pa)/1000 kg/m³[1 - (10.0 cm/5.0 cm)⁴]}

v₁ = √{2(- 2.00 × 10⁴ Pa)/1000 kg/m³[1 - 2⁴]}

v₁ = √{(- 4.00 × 10⁴ Pa)/1000 kg/m³[1 - 8]}

v₁ = √{(- 4.00 × 10⁴ Pa)/1000 kg/m³[-7]}

v₁ = √{(40.0 × 10³ Pa)/7 × 10³ kg/m³}

v₁ = √{(40.0/7 Pam³/kg}

v₁ = √{5.7143 Pam³/kg}

v₁ = 2.39 m/s

Since the volume flow rate Q = A₁v₁ = (πd₁²/4)v₁

Given that

Substituting the values of the variables into the equation, we have

Q = (πd₁²/4)v₁

Q = π(0.1 m)²/4 × 2.39 m/s

Q = π × 0.01 m²/4 × 2.39 m/s

Q = π × 0.0239 m³/s/4

Q = 0.0751 m³/s ÷ 4

Q = 0.0188 m³/s

So, the water flows at a rate of 0.0188 m³/s

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During a 10-second period, a car travels 80 meters. This car typically travels at a speed of 8 m/s.

For instance, if it takes a person 40 minutes to travel 20 miles north, 20 miles south, and finally 20 miles in between, their average speed is 40 miles divided by 40 minutes, or 1 mile per minute. Instead of distance, average velocity takes into account total displacement.

The total displacement must be divided by the total time elapsed in order to determine the average velocity.

average velocity= total displacement/ total time

avg velocity=80/10=8m/s

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The acceleration of skateboard on road A will be 7.74 [tex]m/s^{2}[/tex]

The acceleration of skateboard on road B will be 3.87 [tex]m/s^{2}[/tex]

The acceleration of skateboard on road C will be 9.68 [tex]m/s^{2}[/tex]

force = mass * acceleration

mass1 = 62 kg

force1 = 480 N

acceleration1 = force / mass

                     = 480 / 62 = 7.74 [tex]m/s^{2}[/tex]

mass2 = 62 kg

force2  = 240 N

acceleration 2  = 240 / 62 = 3.87  [tex]m/s^{2}[/tex]

mass 3 = 62 kg

force 3  = 600 N

acceleration 3  = 600 / 62  = 9.68  [tex]m/s^{2}[/tex]

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Explanation:

a straight line graph shows a linear relationship between and x and y, where if gradient is positive then it's a positive linear relationship (where when factor increases the other would also increase). if the the gradient is negative then it's a negative linear relationship where when factor decreases the other would also decrease.

the slope of the line is the gradient which can be determined using the equation,

gradient = y difference ÷ x difference

respective to which factor is presented by each axis.

hope it helps. :)

Answer:

Genes provide instructions for making proteins but they do not build the proteins themselves. Why do some organisms make one type of protein for a feature and others make two? An organism has two copies of a gene for each feature; these can be the same version or different.

Explanation:

The radius of the aorta is 10 mm. (a) Blood also circulates through capillaries, which are tiny blood vessels. if the aorta's blood flow rate is 5.0 L/min.

Your heart receives blood from your coronary arteries. These arteries diverge from the aorta to supply your heart and the rest of your body with oxygen-rich blood.

Freshly oxygenated blood transfers oxygen from the blood toward the tissues and carbon dioxide moves from the tissues back toward the blood when it enters the capillaries of the tissues. This process of blood and tissue and organ cell gas exchange is referred to as "internal breathing."

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The physical weathering of rock by the repeated thawing of water is likely to happen more quickly than the physical weathering of rock by plant roots.

How does repeated thawing of water causes the rock to weather?

First, the physical weathering of rock is usually caused by water (which can come from rain or erosion), ice, plant roots, and even animals. These agents ensure the rock is broken down into smaller particles or sizes.

So, the thawing of water ensures continuous freezing and melting of water which allows water in the form of ice to build up in the cracks of rocks after expanding on freezing. This makes the rock breaks apart due to the pressure that is built in the crack.

However, physical weathering from the root of plants is slower compared to that of the repeated thawing of water. Though both processes needed time, but it will take more time for the roots in a crack. For the plant roots to get cracks to grow into, it needs repeated thawing of water to create that crack or other agents of rock weathering to create the crack.

In summary, repeated thawing of water makes rocks more susceptible to chemical and biological weathering. The weathering of rock by plant roots will need the plant to grow and survive in the first place, which might take more time.

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When there is a power outage, people and companies utilize generators to supply electricity. Since gasoline has the lowest specific heat, it requires the least amount of energy.

Voltage, or the potential of a charge to produce energy, and current, or the flow of electric charge, are the two main components of electric power. Any ratio of current and voltage values can provide a given amount of power.

Given that it is created by electrical means, electricity qualifies as a power. It can be referred to as "electric power" in that meaning.

Watts

Electrical power is measured in Watts and Kilowatts. James Watt, the creator of the steam engine, was honored with the designation Watts, which are units used to measure the power of electricity. One Watt electrical power measured in units of one amp at one volt of pressure.

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The length of the axes of the eclipse are 1.25cm and 10cm.

With the formula, F = (mv²)/r

where F = force

m = mass

v = velocity and

r = diameter/length

To find how long the axes of the eclipse are at an outward force of 10N and a similar force of 1.25N:

For F₁ = 10N

10 = (0.5 x 5²)/r

10 = 12.5/r, cross multiply

r = 12.5/10 = 1.25cm

For F₂ = 1.25N

1.25 = (0.5 x 5²)/r

1.25 = 12.5/r, cross multiply

r = 12.5/1.25 = 10cm

The lengths of the eclipse are found by dividing the product of the mass and velocity by the first and second forces to get 1.25cm and 10cm

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mvr³  is the angular momentum of the hoop about its center of mass

L=mvr=Iω

L= angular momentum

m= mass

v=velocity

r= radius

L=mvr

L=mr²×r×v

L=mvr³

A characteristic known as angular momentum describes the rotating inertia of an item or set of objects when they are moving along an axis that may or may not pass through them. The Earth possesses spin angular momentum from its daily rotation around its axis and orbital angular momentum from its yearly revolution around the Sun. Since angular momentum is a vector quantity, its full representation calls for the identification of both a magnitude and a direction. An object in orbit has an angular momentum that is proportional to its linear momentum times the perpendicular distance r from the center of rotation to a line drawn through the center of gravity of the object, or just mvr.

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Some ways to change the resistance in a circuit.resistance can be changed in the circuit by changing the length of the wire, area of the wire, resistivity of the wire.

steady current  means a continuous flow that has been going on forever, without change and without charge piling up anywhere.

A system (e.g. circuit) is in the steady state when the current at each point in the circuit is constant (does not change with time). –In many practical circuits, the steady state is achieved in a short time.

steady current can be produced in the circuit in which resistance is changing by varying the voltage. by increasing or decreasing the voltage  we can maintain a constant or steady current in a circuit which has varying resistance.

                        charecteristics of toasting wires:

The nichrome alloy does not oxidize when heated. Iron wire would rust very quickly at the temperatures seen in a toaster.

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According to the color code, the number of pairs of conductors in a cable that can be defined without repeating a color combination is 25 pairs

To identify individual conductors in a telecommunications twisted pair cable the 25-pair color code is used. These colors are marked on the conductor's insulation. The primary colors are white, red, black, yellow, and violet. The secondary colors are blue, orange, green, brown, and slate.

The primary color is called a tip which is positive and the secondary color is called a ring which is negative. In the pair, only one color from each group should be used. So the possible combinations are 25 pairs.

Therefore, according to the color code, the number of pairs of conductors in a cable that can be defined without repeating a color combination is 25 pairs

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