a ball of mass 100 g, is dropped from a height of 22 m and moving vertically down. ignoring the air resistance, calculate the kinetic energy of the ball at the height of 8.0m?

Answer:

The probability that she is correct on only two questions is 0.246

Explanation:

The probability of getting an answer correct = 1/5

The probability of getting only two questions correctly

By binomial trials, we have;

P(X = K) = \(\dbinom{n}{k}\times p^{k}\times \left (1 - p \right )^{n - k}\)

P(X = 2) = \(\dbinom{6}{2}\times \left (\dfrac{1}{5} \right )^{2}\times \left (1 - \dfrac{1}{5} \right )^{6 - 2}\)

= 15×256/15625 = 768/3125 = 0.246

Therefore, the probability that she is correct on only two questions = 0.246.

The required magnitude of the charge when electric field is given is calculated to be - 2 × 10⁻⁵ C.

Mass of the particle is given as 1.5 g = 1.5 × 10⁻³ kg = 0.0015 kg

The particle encounters an electric field, E = 700 N/C.

The force experienced by the particle is calculated as;

F = m g = E Q

where,

Q is the magnitude of the charge

Q = m g/E = (0.0015× 9.81)/700 = 0.00002 C = 2 × 10⁻⁵ C

The force has to be exerted upward and counter to the electric field. The charge must be negative since the electric field and force are in the opposing directions.

Thus, the charge is calculated to be - 2 × 10⁻⁵ C.

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Explanation:

the amount of displace water is equal to the weight of cannon

Answer:

a

Explanation:

Answer:

A or each parent had at least one allele for white pedals

Explanation:

The strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T.

An area of space known as a magnetic field is where a magnetic force is applied to a magnetic item. It is produced by electric charges moving, such as electrons moving in an electric current or electrons moving in the atoms and molecules of magnetic materials.

A magnetic field has both a magnitude and a direction because it is a vector field. While the direction of the magnetic field is determined by the direction of the magnetic force it exerts on a north magnetic pole, the strength of the magnetic field is measured in units of tesla (T).

To calculate the magnetic field at the center of the solenoid:

B = μ₀ * n * I

Where:

μ₀ is the permeability of free space (4π x 10^-7 T·m/A)

n is the number of turns per unit length (in this case, n = N/L, where N is the total number of turns and L is the length of the solenoid)

I is the current

We can calculate n as:

n = N/L = 500 turns / 0.10 m = 5000 turns/m

Now we can substitute the values into the equation:

B = μ₀ * n * I = (4π x 10^-7 T·m/A) * (5000 turns/m) * (4.0 A)

B = 1.26 x 10^-2 T

Therefore, the strength of the magnetic field at the center of the solenoid is 1.26 x 10^-2 T (tesla).

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It is easier to stop a lightly loaded truck than a heavier one with equal speed due to the concept of inertia and the relationship between mass and momentum.

Inertia is the tendency of an object to resist changes in its state of motion. The greater the mass of an object, the greater its inertia. When a truck is in motion, it possesses kinetic energy and momentum.

When we apply brakes to stop a moving truck, we need to counteract its momentum. Momentum is the product of an object's mass and velocity and is a measure of how difficult it is to change the object's motion. The momentum of an object is directly proportional to its mass.

In the case of a heavily loaded truck, it has a greater mass compared to a lightly loaded truck. Consequently, it possesses a greater amount of momentum at the same speed. The greater momentum requires a greater force to stop the truck.

When braking is applied, the force of friction between the truck's tires and the road surface acts as the decelerating force. The force of friction is the same for both the lightly loaded and heavily loaded truck, assuming all other factors remain constant. However, the heavier truck has a greater resistance to changes in motion due to its higher mass and momentum. As a result, it requires a stronger and longer-lasting braking force to overcome its inertia and bring it to a stop.

In summary, the greater mass and momentum of a heavily loaded truck make it more challenging to stop compared to a lightly loaded truck with the same speed. The heavier truck's increased inertia necessitates a greater force to counteract its momentum and bring it to a halt.

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Answer: Due that we don't know the initial speed after hitting the ball, we are going to accept that the ball goes up for half of the time and then falls during other half part, that is 3.0 seconds each. Then we know that ball's movement is ruled by the acceleration of gravity formula, as follows: H = Vi * T + 1/2 * g * T^2 V = Vi + g * T where: H is height, Vi initial speed, g gravity acceleration and T time When we only consider the second half of the trajectory, we have that initial speed at the top of that movement is zero, because ball goes up till top, where stops and starts to go down, so : H = 0 * 3 + 1/2 * 32 * 3^2 = 144 ft. So the height of the pop-up is 144 feet.

The ball rise 144 feet high.

Due to that, we don't know the initial speed after hitting the ball, we are going to accept that the ball goes up for half of the time and then falls during another half part, which is 3.0 seconds each.

Then we know that the ball's movement is ruled by the acceleration of gravity formula, as follows: H = Vi * T + 1/2 * g * T^2 V = Vi + g * T

Where: H is height, V is initial speed, g is gravity acceleration, and T is time.

When we only consider the second half of the trajectory, we have that initial speed at the top of that movement is zero, because the ball goes up to the top, where stops and starts to go down, so:

H = 0 * 3 + 1/2 * 32 * 3^2 = 144 ft.

So the height of the pop-up is 144 feet.

Height is a measure of vertical distance, either vertical extent or vertical position

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Explanation:

tilting it will raise the height of its center of gravity.

An average force of -39.9 N acts on the ball during the 0.060 s contact time with the racket. The negative sign indicates that the force is in the opposite direction of the initial velocity, meaning the force is applied in the direction the player volleys the ball.

The tennis ball has a mass of 57.0 g (0.057 kg), an initial velocity of 19.0 m/s, a final velocity of -23.0 m/s (since it changes direction), and a contact time of 0.060 s.

First, calculate the change in momentum (Δp) using the formula Δp = mΔv, where m is the mass and Δv is the change in velocity. Δv = final velocity - initial velocity = -23.0 m/s - 19.0 m/s = -42.0 m/s. So, Δp = 0.057 kg * -42.0 m/s = -2.394 kg m/s.

Next, find the average force (F) using the formula F = Δp / Δt, where Δt is the contact time. F = -2.394 kg m/s / 0.060 s = -39.9 N.

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The pressure transmitted in the hydraulic fluid is 4000 Pa and the mass of the load is 40.82 kg.

To determine the pressure transmitted in the hydraulic fluid, we can use the formula:

Pressure = Force / Area

Given that a force of 20 N is applied to the small piston and the cross-sectional area of the small piston is 0.005 m², we can calculate the pressure as follows:

Pressure = 20 N / 0.005 m²

Pressure = 4000 Pa

Therefore, the pressure transmitted in the hydraulic fluid is 4000 Pa.

To determine the mass of the load, we need to consider the equilibrium of forces in the hydraulic system. The force applied to the small piston is transmitted to the larger piston. Since the system is in equilibrium, the force exerted by the larger piston must balance the force applied to the small piston.

Using the formula:

Force = Pressure × Area

The force exerted by the larger piston can be calculated as follows:

Force = Pressure × Area (large piston)

Force = 4000 Pa × 0.1 m²

Force = 400 N

Therefore, the force exerted by the larger piston is 400 N.

Since force is equal to mass multiplied by acceleration (F = m × a), and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the mass of the load:

400 N = mass × 9.8 m/s²

Solving for the mass:

mass = 400 N / 9.8 m/s²

mass ≈ 40.82 kg

Therefore, the mass of the load is approximately 40.82 kg.

The question was incomplete. find the full content below:

The diagram shows a basic hydraulic system which has a small piston and a large piston with cross-sectional areas of 0.005m² and 0.1m² respectively. A force of 20 N is applied to the small piston. Determine (a) the pressure transmitted in the hydraulic fluid (b) the mass of the load​

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A box is being pulled across a rough floor at a constant speed. The total work done on the box is negative.

Friction acts in the opposite direction to the displacement. Using the definition of work as it is defined to be the product of component of the force in the direction of the displacement and magnitude of the displacement.

W=Fdcosθ

since, θ=180°

as the box is being pulled forward and the friction acting in a opposite direction.

then, W<0

Friction does negative work when a box is being pulled across a rough floor at a constant speed.

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The voltage that is required to run the train is found to be 12V.

Since the transformer has 600 turns in the primary coil and 60 turns in the secondary coil, the turns ratio is 600:60, which simplifies to 10:1. To find the voltage required to make the train run, we need to use the turns ratio equation,

Vp/Vs = Np/Ns, The voltages of the primary and secondary coils are Vp and Vs, respectively. The primary coil has Np turns, while the secondary coil has Ns turns.

We know that the household voltage supplied to the train is 120 V, which is the voltage in the primary coil (Vp). We want to find the voltage in the secondary coil (Vs). Substituting the values we know into the turns ratio equation, we get,

120/Vs = 10/1

Simplifying this equation, we get,

Vs = 12 V

Therefore, the voltage required to make the train run is 12 V.

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The average acceleration of the particle with a speed of 82 m/s in the positive x direction and with a speed of 30 m/s during 9.3 s interval is -12 m/s².

Average acceleration is given as,

a = (v2 - v1) / t

where,

a = average acceleration

v1 = initial velocity

v2 = final velocity

t = time elapsed

Therefore, the formula to calculate the average acceleration of the particle is,

a = (v2 - v1) / t

Here,

v1 = 82 m/s

v2 = -30 m/s

t = 9.3 s

a = ?

Substitute the values in the formula to find the answer,

a = (-30 - 82) / 9.3

a = -112 / 9.3

a = -12 m/s²

The average acceleration of the particle during this 9.3 s interval is -12 m/s².

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Answer:

-1.46 m/s^2

Explanation:

Write down what is given first:

v0 = 12 m/s

vf = 0 m/s

d = 45 m

We are trying to find acceleration, so we will use the equation vf^2 = v0^2 + 2ad

Plug in the values we have:

0^2 = 12^2 + (2 x 45 x a)

a = - 1.46 m/s^2

Note that this acceleration is negative because the body is slowing down, so the acceleration with be negative, because the change in velocity is negative.

According to the given statement - 1.46 m/s²  is the acceleration of the body.

Acceleration is the rate of change in a moving asteroid's speed and direction over time. When something moves faster or slower, it is considered to be accelerating.

Use the formula a = v / t to determine acceleration, where v stands for the change in velocity and t for the time it took for the change to take place. Use the formula v = vf - vi to determine v, where vf stands for final velocity and vi for starting velocity.

Write down what is given first:

v0 = 12 m/s

vf = 0 m/s

d = 45 m

We are trying to find acceleration, so we will use the equation

vf² = v0² + 2ad

Plug in the values we have:

0² = 12² + (2 x 45 x a)

a = - 1.46 m/s²

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Answer:

A 2.5 g bullet traveling at 350 m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree's trunk. What is the initial kinetic energy of the bullet? 153.125 J Correct: Your answer is correct.Jan 8, 2020

Explanation:

Answer:

action = reaction

land accepts

reaction force acts on the apple

Answer:

15 Newton

Explanation:

According to Newton's third law of motion, "Every action has a reaction which is equal in magnitude but opposite in direction" (Right now, we're not talking about direction, so we'll ignore it)

So,

Action Force = Reaction Force

Reaction Force = 15 N

The action force is by the Earth on the Apple, So the reaction force will be by the Apple on the Earth.

The magnitude and direction of the net force on the center charge is 3.929 x 10⁻⁴ N.

The unit of charge is the Coulomb (C). It is named after French physicist Charles-Augustin de Coulomb and is defined as the amount of electric charge that flows through a circuit when a current of one ampere flows for one second. One Coulomb is also equivalent to the charge on approximately 6.24 x 10¹⁸ electrons. The Coulomb is one of the seven base SI units (International System of Units) and is used to measure electric charge in physics and engineering.

So, the magnitude of the net force on the center charge is 3.929 x 10⁻⁴ N. Since F12 is directed towards the left, and F23 is directed towards the right, the net force is also directed towards the left. Therefore, the direction of the net force on the center charge is to the left.

According to Coulomb's law to calculate the force exerted by each of the other charges on the center charge, and then add them vectorially.

Let's call the left charge Q1, the center charge Q2, and the right charge Q3.

The force exerted on Q2 by Q1 is given by:

F₁₂ = k * |Q1| * |Q2| / r₁₂²

where k is Coulomb's constant, |Q1| and |Q2| are the magnitudes of the charges, and r₁₂ is the distance between them. Since Q1 is positive and Q2 is negative, the force F₁₂ is attractive and directed towards Q1. Because the distance between them is 2m, we can say:

F₁₂ = 9 x 10⁹ Nm²/C² * |52 x 10⁻⁶ C| * |3.10 x 10⁻⁶ C| / (2m)²

= 3.468 x 10⁻⁴ N (attractive)

The force exerted on Q2 by Q3 is given by:

F₂₃ = k * |Q2| * |Q3| / r₂₃²

where |Q3| is positive, and |Q2| is negative, so the force F23 is repulsive and directed away from Q3. The distance between them is also 2m, so:

F₂₃ = 9 x 10⁹ Nm²/C² * |3.10 x 10⁻⁶ C| * |68 x 10⁻⁶ C| / (2m)²

= 5.383 x 10⁻⁵ N (repulsive)

To find the net force on Q2, we need to add these two forces vectorially. Since they act along the same line, we can simply subtract their magnitudes:

Fnet = |F₁₂| - |F₂₃|

= 3.468 x 10⁻⁴ N - 5.383 x 10⁻⁵N

= 3.929 x 10⁻⁴ N.

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Answer:

A.The atoms vibrate faster due to the conduction of heat through atoms in the spoon.

The RMS current , Power and Maximum voltage have values 0 to 1 , V1/2 to 0 and infinity to zero.

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Answer:

B. She could have a higher risk of skeletal fractures

Explanation:

She needs to maintain her bone health and B is the only answer that involves a consequence with bones.

I hope this helps

Phytoplankton are tiny plant-like organisms that float in the upper layer of the ocean and are the foundation of the marine food web. These organisms are important because they produce nearly half of the oxygen we breathe and absorb carbon dioxide from the atmosphere, helping to regulate the Earth's climate.

In the tropical oceans, the major limiting factor to phytoplankton production is the availability of nutrients. Specifically, the lack of iron, nitrogen, and phosphorus limits the growth of phytoplankton. These nutrients are essential for the production of chlorophyll, which is responsible for photosynthesis. Without enough nutrients, the growth and reproduction of phytoplankton are limited, which in turn limits the productivity of the entire marine ecosystem.
The availability of these nutrients in tropical oceans is affected by several factors. One factor is upwelling, where deep, nutrient-rich waters are brought to the surface by currents. Another factor is dust deposition, where dust containing iron and other nutrients is carried by winds from land and deposited in the ocean.

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Sound waves travel faster in solid compared to gas. This is because of the difference in the arrangement of particles in solids and gases. Solids have a higher density and more closely packed particles, whereas gases have a lower density and particles that are more spread out. This is the reason why sound waves move quicker through solids than gases.

The speed of sound is influenced by various factors, including the elastic properties of the medium through which the sound waves propagate, its density, and temperature. In solids, atoms or molecules are packed closely together and move in fixed positions. This property is responsible for the high density and elastic nature of solids.

Sound waves travel through the solid by compressing and expanding the particles. These particles, due to their closeness, readily compress and expand as the wave passes through them. As a result, the sound wave travels quicker in solids because the waves can travel through the medium faster and more effectively.

In gases, on the other hand, particles are widely spaced and do not maintain a fixed position. The molecules in the gas move randomly, and sound waves propagate through the collisions between these particles. Therefore, the movement of particles in the gas medium is slower and less coordinated, resulting in a lower speed of sound. Hence, the speed of sound is faster in solids than in gases.

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The mass of a planet affects the motion of the planet around the sun through the force of gravity.

According to Newton's law of universal gravitation, every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.

The greater the mass of a planet, the stronger its gravitational pull and the more it affects the motion of other celestial objects in its vicinity, including its own orbit around the sun.

In summary, the mass of a planet is a crucial factor that determines its motion around the sun, as it affects the strength of the gravitational forces acting on the planet and its orbit.

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Answer:

RT = 341.62 Ohms

Explanation:

Given the following data;

R1 = 420 Ohms

R2 = 320 Ohms

R3 = 160 Ohms

To find the equivalent resistance;

From the circuit, we can see that R1 and R2 are connected in parallel;

Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;

\( RT = \frac {R1*R2}{R1 + R2} \)

Substituting into the formula, we have;

\( RT1 = \frac {420*320}{420 + 320} \)

\( RT1 = \frac {134400}{740} \)

RT1 = 181.62 Ohms

Next, we resolve the resistors to form a series circuit.

RT = RT1 + R3

RT = 160 + 181.62

RT = 341.62 Ohms

Answer:

  1/8

Explanation:

17,100 years is 3 times the half-life of 5,700 years. After each half-life, half remains, so the amount remaining after 3 half-lives is ...

  (1/2)(1/2)(1/2) = 1/8

1/8 of the sample remains after 17,100 years.

Answer:

1/8

Explanation: