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When all other factors are constant, the initial velocity determines the length of a projectile's trajectory.

A projectile is an object that is thrown or projected into the air and follows a path determined by the forces of gravity and air resistance. The length of a projectile's trajectory is determined by the time it takes for the projectile to reach its maximum height and the time it takes for the projectile to return to the ground. Initial velocity is the velocity at which a projectile is launched, and it determines the initial speed and direction of the projectile.

The greater the initial velocity, the farther the projectile will travel before hitting the ground, this is because the projectile spends less time in the air, so it has less time to slow down due to air resistance. In contrast, a projectile with a lower initial velocity will travel a shorter distance because it spends more time in the air and slows down more due to air resistance. Therefore, the initial velocity is a crucial factor that determines the length of a projectile's trajectory.

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Answer:

In Nanometer- 580 nanaometers

In Meter - 5.8 x 10^-7

Answer:

Explanation:

2. 330.63 ft because v*t=d and 3.09*107=330.63

3. 4.2 because 10/2.4=4.1666

4. 130 miles because 2 hours times 65mph= 130

5. 62.3 seconds because 480000/7700=62.33766233

8. 60 meters, because 0.5 *120 (because 2 minutes converted to seconds is 120) is equal to 60.

the potential difference across the capacitor plates is approximately 1,404.9 volts.

An electrical component known as a capacitor stores electrical energy in an electric field. It consists of two conducting plates separated by a dielectric, a non-conducting substance. The plates retain charge when a voltage is applied to them, and an electric field develops between them as a result. The capacitance of the capacitor, which is a measurement of its capacity to store charge, determines the amount of charge that can be stored on the plates.

When a capacitor with capacitance C is charged to a potential difference V, its electric potential energy U is calculated as follows:

U = (1/2)CV^2

If we rewrite this equation, we obtain:

Sqrt(2U/C) = V

Inputting the values provided yields:

V is equal to sqrt(2(78 J)/(150 10-6 F)).

V = 1,404.9 V

Hence, there is a potential difference of about 1,404.9 volts will be there in between the capacitor plates.

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Answer:

h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

Explanation:

Answer:

c...........................

Answer:

fire

Explanation:

burning the the oil

Answer:

Normal = 33.95N

Friction = 19.6 N

Coefficient of friction = 0.58

Explanation:

We can represent the situation as follows:

First, we need to calculate the normal force. Since the box is not moving perpendicular to the incline, the normal force and the weight in that direction has to be equal, then

Fn = mgcos30

Fn = (4kg)(9.8 m/s²)cos30

Fn = 33.95 N

In the same way, the box won't slide when the force of friction is equal to the parallel component of the weight, so

Ff = mgsin30

Ff = (4kg)(9.8 m/s²)sin(30)

Ff = 19.6 N

Additionally, the friction force is equal to

Ff = μFn

Where μ is the coefficient of friction, so solving for μ and replacing the values, we get:

μ = Ff/Fn

μ = 19.6/33.95

μ = 0.58

Therefore, the answers are:

Normal = 33.95N

Friction = 19.6 N

Coefficient of friction = 0.58

Answer:

Explanation:

Sounds travel faster in object having high density proportion or matter. This is because particles vibrates and causing the other particle near to as well vibrate. Hence, when sound is moving from a higher dense medium like Water, the rate of traveling is high compare to it moving in air with less dense.

If the cart is given an initial horizontal velocity v0 while the ball is at rest, the subsequent motion of the system can be described as follows:
1. The cart will continue to move horizontally with a constant velocity v0.
2. The ball, initially at rest, will start moving horizontally as well due to the interaction with the cart.
3. The velocities of point A (on the cart) and point B (on the ball) can be determined based on the angle θ between the cart's direction of motion and the horizontal axis.

To calculate the velocities of A and B, we can use the concept of vector addition. Let's break down the velocities into their horizontal and vertical components:

- Velocity of point A (VA):
 - The horizontal component of VA is v0, since point A is on the cart moving with the initial velocity.
 - The vertical component of VA is 0, as there is no vertical motion involved.

- Velocity of point B (VB):
 - The horizontal component of VB is also v0, as the ball moves with the same horizontal velocity as the cart.
 - The vertical component of VB depends on the angle θ. Let's denote it as VB_y.
 - VB_y can be calculated using the following equation: VB_y = VB * sin(θ).

Therefore, the velocities of points A and B for the given angle θ are:

- VA: Horizontal velocity = v0, Vertical velocity = 0.
- VB: Horizontal velocity = v0, Vertical velocity = VB * sin(θ).

It's important to note that the magnitudes of the velocities are the same for both points A and B, but their directions may vary depending on the angle θ.

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Answer:

Its the result from subduction of an oceanic tectonic plate when its under another tectonic plate. Sometimes parallel the oceanic trench. Also if a volcano is offshore, it forms islands, which will result in a volcanic type of island arc.

Explanation:

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The amount of heat or energy that is lost when the water is cooled is 1,024.1 J.

The amount of heat lost is calculated by applying the formula for heat capacity of water as shown below;

Q = mcΔT

where;

The amount of heat or energy that is lost when the water is cooled is calculated as follows;

Q = 3.5 g x 4.18 J/gC x (90 C - 20 C)

Q = 1,024.1 J

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Answer:

Weight is ambiguous; depending on which meaning you use, either 12 kg or 117.7 N. Since you haven’t mentioned any other forces and assuming it is on earth, the force of gravity acting on 12 kg is about 117.7 N. That is one meaning of weight, the other (in law and commerce) is the mass.

Oh, in Customary, about 26.5 lb (mass) or 26.5 lbf (gravity).

See, weight = mass × acceleration due to gravity.

From the ques, we already have mass(12 kg) and acceleration(9.8 m/s²)

It's pretty simple now,

w = mg

w = 12 × 9.8

w = 117.6 N

Answer:

C. 1.43 m/s

Explanation:

Velocity = displacement / time

v = (1 m − -9 m) / 7 s

v = 1.43 m/s

Answer:

2)Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative (commonly carried by protons and electrons respectively)

Ophelia is a dynamic character.

In Shakespeare's Hamlet, for example, the individual of Hamlet is dynamic due to the fact his attitudes and movements at the top of the play stand in direct assessment to those at the play's beginning; inside the same paintings, Polonius is static due to the fact his person is constant and does now not exchange.

Of all of the pivotal characters in Hamlet, Ophelia is the most static and one-dimensional. She has the capability to grow to be a sad heroine to conquer the adversities inflicted upon her, however, she as a substitute crumbles into madness, becoming merely tragic.

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Answer:

It depends on the velocity, if 1 wave is going faster than the other, it could eat the other wave and thus: Merge.

If they are the same speed they would cancel out, it would be like 2 trucks hitting each other.

Explanation:

If 2 waves crash at 15mph they would splash back and fall into the water. Think about boxers.

Answer: Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions.

Hope this helps :)

The speed of the penny after 2.5 seconds is 24.5 m/s.

What is speed?

Speed is a scalar quantity that refers to "how fast an object is moving." It is the rate at which an object changes its position, and it is measured in units of distance per unit of time (such as meters per second or miles per hour). Speed is related to the distance traveled by an object and the time it takes to travel that distance, and it can be calculated by dividing the distance traveled by the time it took to travel that distance.

The speed of an object in free fall can be calculated using the equation:

v = g * t

where v is the velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2 on the Earth's surface) and t is the time elapsed.

In this scenario, the penny is dropped off the top of the Statue of Liberty, which is 93 m tall, and we want to find the speed of the penny after 2.5 seconds.

So, we can substitute the values in the equation:

v = 9.8 m/s^2 * 2.5 s = 24.5 m/s

Therefore, the speed of the penny after 2.5 seconds is 24.5 m/s (assuming no air resistance).

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Answer:

The answer is "Y → X → Z".

Explanation:

In this question, the chart is missing and the question is not complete that's why we search this question and only give its correct answer that's is defined above, and please find the complete question in the attached file.

Answer:

8000 kg/cm^3

Explanation:

The density formula is P = M/V

Density = P = ? expressed in kg/m^3

M = mass = 40,000 kg

V = volume = 5 m^3

P = 40,000/5

P = 8000 kg/m^3

The volume of the balloon is increased to 2.9 L.

Initial volume of the balloon, V₁ = 0.5 L

Initial temperature of the balloon, T₁ = 20°C = 293 K

Final temperature, T₂ = 150°C = 423 K

According to Charle's law,

V₁/T₁ = V₂/T₂

The final volume,

V₂ = (V₁/T₁)T₂

V₂ = 0.5 x 423/293

V₂ = 2.9 L

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Your question was incomplete, but most probably your question will be:

A balloon has a volume of 0.5 L at 20°C. If the balloon is heated to 150°C, assuming the atmospheric pressure to be constant at 101,325 pa, by what amount does the volume of the balloon change?

A car move down a track a distance of 80 cm

Letter E  80 cm

Proportional

if the distance is proportional to the time square we can express such condition writing

d = k*t²        (1)

where d is the distance t is the time and k is the constant of proportionality.

Now we must considerer that if the cart moves a distance of 20 cm in one second then by substitution in equation (1)

20 = k * (t)²        ⇒     20 = k*1   then   k = 20

The proportionality constant is K = 20

To determine how far the cart move down in 2 seconds, again by substitution in equation (1) ( but now knowing k )

d = 20*(2)²

d = 20*4

d = 80 cm

(a) The total momentum of the goalkeeper and puck after the puck is caught by the goalkeeper is 6.4 kgm/s.

(b) The goalkeeper has greater momentum after the puck is caught because  of the conservation of linear momentum. The initial momentum of the hockey puck of 6.4 kgm/s was transferred to the goalkeeper which increased his initial zero momentum to approximately final momentum of 6.4 kgm/s.

The total momentum of the goalkeeper and puck after the puck is caught by the goalkeeper is calculated by applying the principle of conservation of linear momentum.

m₁u₁ + m₂u₂ = v (m₁ + m₂)

where;

0.16(40) + 120(0) = v (0.16 + 120)

6.4 = 120.16v

v = (6.4) / (120.16)

v = 0.053 m/s

The final momentum of the hocky puck after the collision is calculated as;

Pf₁ = 0.16 kg   x   0.053 m/s

Pf₁ = 0.0085 kgm/s

The final momentum of the goalkeeper after the collision is calculated as;

Pf₂ = 120 kg   x   0.053 m/s

Pf₂ = 6.36 kgm/s

The total momentum = 0.0085 kgm/s  + 6.36 kgm/s = 6.4 kgm/s

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Answer:

Each body spray cost $ 21.25

Explanation:

Two thin uniformly charged rods, each with length LL and total charge +Q+Q, are parallel and separated by a distance aa. The first rod has one end at the origin and its other end on the positive yy-axis. The second rod has its lower end on the positive xx-axis. The relative speed of the two charged rods is approximately 0.425 m/s.

The relative speed of the two charged rods can be determined using the principle of conservation of energy. When released from their initial configuration, the potential energy between the rods is converted into kinetic energy as they move apart. By equating the initial potential energy to the final kinetic energy, we can find the relative speed.

Given:

Length of each rod (L) = 50.0 cm

Distance between the rods (a) = 10.0 cm

Total charge on each rod (Q) = 10.0 μC

Mass of each rod (m) = 500 g

Step 1: Calculate the initial potential energy

The potential energy (U) between the two charged rods is given by the equation:

\(U = k * (Q^2) / a\)

where k is the Coulomb's constant \((k = 8.99 * 10^9 N m^2/C^2).\)

Plugging in the values, we have:

U = (8.99 x 10^9 N m^2/C^2) * [(10.0 x 10^-6 C)^2] / (0.1 m)

Step 2: Calculate the final kinetic energy

The final kinetic energy (K) is given by the equation:

K = (1/2) * (m * v^2)

where v is the relative speed of the rods.

Step 3: Equate the initial potential energy to the final kinetic energy

Setting U equal to K, we have:

(8.99 x 10^9 N m^2/C^2) * [(10.0 x 10^-6 C)^2] / (0.1 m) = (1/2) * (2 * m * v^2)

Simplifying the equation, we can solve for v:

v = sqrt[(2 * U) / m]

Substituting the values for U and m, we can calculate the relative speed.

The relative speed of the two charged rods is approximately 0.425 m/s.

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The Law of Initial Value (LIV) is a concept in psychophysiology that suggests the magnitude of a phasic (temporary or transient) psychophysiological response is dependent on the initial baseline level.

In simpler terms, it proposes that the intensity or magnitude of a physiological response is influenced by the starting point or baseline level of that response.

According to the LIV, if an individual starts with a higher baseline level of a particular physiological response, they are likely to exhibit a greater magnitude of change or response when faced with a stimulus or event.

Conversely, if the baseline level is lower, the magnitude of change or response may be smaller.

Thus, researchers in psychophysiology and related fields often consider the LIV when interpreting and analyzing data, but they also acknowledge the need to consider other factors and individual differences that may contribute to variations in psychophysiological responses.

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According to a fire test by the National Institute for Standards and Technology (NIST), flashovers can occur within as little as 3 to 4 minutes after flames are ignited in a room or enclosed space.

A flashover is a rapid and extreme escalation of a fire, where all the combustible materials in a room simultaneously ignite and cause the entire space to become engulfed in flames. Flashovers are one of the most dangerous and deadly aspects of a fire, and they can be triggered by a variety of factors such as high temperatures, lack of ventilation, and the presence of flammable materials. Understanding the conditions that can lead to a flashover is important for fire safety planning and prevention.

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The ball continues to fall, its kinetic energy will increase.

Kinetic energy is the energy an object possesses due to its motion. It is the energy associated with an object’s speed and mass, and is the energy that an object has because of its movement. Kinetic energy can be converted into other forms of energy, such as heat, light, or sound. It can also be used to do work, such as moving objects or powering machines. Kinetic energy is a form of mechanical energy, which is energy that is associated with the motion or position of an object. Kinetic energy is related to the work done on an object, and it increases as the object’s speed increases. Kinetic energy can be calculated using the formula KE = ½mv2, where m is the mass of the object and v is the velocity of the object.

The kinetic energy of the ball will increase as it falls, because it is gaining speed due to gravity.
As it falls, it accelerates at a rate of 9.8 m/s^2, and its kinetic energy is equal to its mass multiplied by the square of its velocity.
Therefore, as the ball continues to fall, its kinetic energy will increase.

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