(Score for Question 3: ___ of 8 points)
A 75 kg barrel is pulled up by a rope. The barrel accelerates at 3".4 m"/s^2. Find the force exerted on the barrel by the rope. Show all your work.
Answer:
Type your answer here.

We are given that a 20 kg object moves a distance of 12 meters. The intial velocity is 10 m/s. To calculate the friction force we will use the fact that the chage in the kinetic energy is equal to the work done by the frictio force, therefore, we have:

Where:

Now, we plug in the values:

Solving the operations:

Now, the work done by friction is equal to the friction force multiplied by the distance:

Now, we divide both sides by the distance:

Solving the operations:

Therefore, the force of friction is 8.33 Newtons.

The energy level from which is emitted is n = 6

The frequency is\(7.3 * 10^14\) Hz

The Rydberg equation is a mathematical formula that relates the wavelengths of light emitted by an atom to the energy levels of its electrons.

Using the Rydberg equation;

1/λ= RH (1/\(n_{2}^2\) - 1/\(n_{1} ^2\))

1/\(410.2 * 10^-9\) = \(1.097 * 10^7\)(1/\(2^2\) - 1/  /\(n_{1} ^2\))

1/\(4.102 * 10^-7\) = \(1.097 * 10^7\)(1/4 - 1/\(n_{1} ^2\))

1/\(4.102 * 10^-7\) * 1/ \(1.097 * 10^7\) = (1/4 - 1/\(n_{1} ^2\))

0.22 = 0.25 -  1/\(n_{1} ^2\)

0.22 - 0.25 = -  1/\(n_{1} ^2\)

-0.03 = -  1//\(n_{1} ^2\)

\(n_{1}\) = 6

Using;

f = c/λ

\(3 * 10^8/4.102 * 10^-7 \\f = 7.3 * 10^14 Hz\)

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Answer:

We can use the kinematic equations to solve this problem. Here are the steps:

(a) To find the initial velocity of the ball:

Let v be the initial velocity of the ball, and g be the acceleration due to gravity (-9.81 m/s^2).

The horizontal component of the velocity will remain constant throughout the motion, so we can write:

vx = v cos(45°)

where vx is the horizontal component of the velocity.

At the highest point, the vertical velocity of the ball will be zero, so we can use the equation:

vy^2 = u^2 + 2gh

where u is the initial vertical velocity, and h is the maximum height. We know that u = v sin(45°), so we can write:

(v sin(45°))^2 = v^2 + 2gh

Substituting the given values, we get:

(v^2)/2 = 2.4 m

v = √(4.8g) ≈ 9.25 m/s

Therefore, the initial speed of the ball was approximately 9.25 m/s.

(b) To find the time taken to reach the greatest height:

We can use the kinematic equation:

v = u + gt

At the highest point, the vertical velocity of the ball is zero, so we can write:

0 = (v sin(45°)) + gt

Solving for t, we get:

t = (v sin(45°)) / g

Substituting the value of v, we get:

t = (9.25 m/s) / (sqrt(2) * 9.81 m/s^2) ≈ 0.66 s

Therefore, the time taken to reach the greatest height was approximately 0.66 seconds.

(c) To find the horizontal distance between the point of kick and the foot of the goal post:

We can use the kinematic equation:

d = vxt

where d is the horizontal distance, and t is the time taken to reach the foot of the goal post. We already know the time t from part (b), so we just need to calculate the horizontal velocity:

vx = v cos(45°) ≈ 6.54 m/s

Substituting the values, we get:

d = (6.54 m/s) x (0.66 s) ≈ 4.32 m

Therefore, the horizontal distance between the point of kick and the foot of the goal post was approximately 4.32 meters.

Answer:

42

Explanation:

42

The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.

To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:

C = A × B

Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.

Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:

C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)

Now, let's expand the cross product using the properties of vector products:

C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +

   (3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +

   (1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)

Now, let's calculate each of these cross products:

C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +

   (3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +

   (1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)

Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:

C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k

Combining like terms, we get:

C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)

Simplifying further:

C = 6.00i - 12.00j + k

Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.

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The vector product of A and B is -3i - 5j - 9k.

The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.

In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.

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Answer: 6.25 m/s

explanation: remember an easir way to solve problems like this is to have a horizontal side (x) and a vertical side (y) and on each side always set up for initial speed, average speed, final speed, distance, time, and acceleration.

lmk if you need anything else or any more good tips yk

Answer:

D. They are all heat insulators.

Explanation:

Those things mentioned above are examples of heat insulators. As a heat insulator, it helps to prevent the heat from leaving the body thereby keeping the body warm and risk free.Feathers in birds and overcoat in humans helps to keep the bodies of the wearer safe and warm during the cold season.

Answer:

123.48J

Explanation:

Given parameters:

Mass of the ball  = 2.8kg

Height  = 4.5m

Unknown:

Potential energy  = ?

Solution:

The potential energy is the energy due to the position of a body. It is mathematically given as;

      P.E   =  mgh

m is the mass

g is the acceleration due to gravity

h is the height

 Now insert the parameters and solve;

          P.E  = 2.8 x 4.5 x 9.8  = 123.48J

Answer:

0

Explanation:

There is 0 PE when its on the ground

The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.

We can use the formula Q = I * t,

where;

Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:

I = Q / t = 6.4 C / 2 s = 3.2 A

So, the current through the conductor is 3.2 A.

To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:

Q = I * t = 3.2 A * 60 s = 192 C

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A. The English system uses one unit for each category of measurement.

Answer:

A

Explanation:

The difference between fluid pressure at location 2 and fluid pressure at location 1 is mathematically given as

dP = 114 kPa

Parameters are :

density of liquid,

speed of flow at location 1, = 9.15m/s

diameter of pipe at location 1, = 12.3cm

diameter of pipe at location 2, = 16.1 cm

height of pipe at location 1, = 9.29 m

We know that the Bernoulli's equation is mathematically given as

P + ρ*g*y + v² =pipe  constant

Where

A1*v1 = A2*v2

π*(0.105/2)²*9.91 = π*(0.167/2)²*v2

v2 = 3.9 m/s

Hence, we have that

P1 + ρ*g*y1 + v1² = P2 + ρ*g*y2 + v2²

dP = 1290*9.8*9.01 + 9.91² - 3.9²

dP = 114 kPa

In conclusion, difference between fluid pressure is dP = 114 kPa

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Explanation:

Total voltage = 9 × 2 = 18v

Resistance = 82 Ω

Ohm's law::

V = IR

18v = 82 Ω × I

18v /82 /Ω = I

18/82 Ampere is the current

Answer:

Renewable energy supplies may not be completely reliable.

It is difficult to generate electricity in large quantities using renewable resources.

Explanation:

i got it correct on edgeneuity

The disadvantages of renewable resources is  energy supplies may not be completely reliable and many renewable energy facilities have higher operating costs.

The main difference between renewable and non-renewable energy sources is the limitation of use: renewable resources are infinite, while non-renewable energies use non-renewable resources, so they tend to run out if there is an exacerbated use.

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In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated

When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.

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Answer:

The angular momentum depends on both the angular velocity and the mass distribution of the object. You can change this angular momentum by exerting a torque (a twisting force)—but with no external torque, the angular momentum is conserved. Now getting back to the ice skater.

The interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

To determine the interval between the first and second echo, we need to consider the time it takes for sound to travel from the student to the first cliff, and then from the first cliff to the second cliff, and finally back to the student.

Let's break down the distances and calculate the time for each part of the journey:

Distance from the student to the first cliff: 330 meters

Time taken: t₁ = distance / speed = 330 m / 330 m/s = 1 second

Distance from the first cliff to the second cliff: 990 meters

Time taken: t₂ = distance / speed = 990 m / 330 m/s = 3 seconds

Distance from the second cliff back to the student: 990 meters

Time taken: t₃ = distance / speed = 990 m / 330 m/s = 3 seconds

Now, we can calculate the total interval between the first and second echo by adding up the individual times:

Interval between first and second echo = t₁ + t₂ + t₃ = 1 s + 3 s + 3 s = 7 seconds

Therefore, the interval between the first and second echo is 7 seconds. This means that after the initial sound wave reaches the first cliff, it takes a total of 7 seconds for the sound to travel to the second cliff and then return to the student as the second echo.

It's important to note that this calculation assumes a straight path for the sound waves and neglects factors such as air temperature and wind that can affect the speed of sound. Additionally, it assumes perfect reflection of sound waves off the cliffs, which may not be the case in real-world scenarios.

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Note the complete questions is:

A student stands 330m from a tall cliff which is 990m from another tall cliff. If the speed of sound between the cliffs is 330m/s.What is the interval between the first and second echo?

Answer:

solar energy warms most of the earths surface

Answer:

c

Explanation:

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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Answer:

Explanation:

The powder takes the shape of a magnetic field.

Powder morphology is connected to the shape and size of powder particles and is strongly dependent on the manufacturing methods. For example, mechanical alloying/mechanical milling leads to unevenly shaped powder particles, while gas dissipation leads to spherically shaped particles.

Atomized metal powder particles come in two basic particle shapes: those that are almost superbly round called spherical, and those that have lopsided, rounded shapes, called spheroidal.

So we can conclude that Powders are a group of particles of different sizes.

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The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

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The final area of the plate is 4.0000352 \(m^2\) if the temperature raised to 100 °C and the coefficient of linear expansion of iron is 1.1 x 10-7.

Expecting that the plate of iron is rectangular, we can involve the recipe for warm extension of solids to compute the last region of the plate. The equation for direct warm development is given by ΔL = αLΔT, where ΔL is the adjustment of length, α is the coefficient of straight extension, L is the first length, and ΔT is the adjustment of temperature.

Since the region of the plate is given by A = L*W, where L is the length and W is the width, we can involve the equation for straight warm extension to compute the adjustment of length of the plate and afterward use it to compute the last region.

ΔL = αLΔT = \((1.1 x 10^-7 m/oC)(2 m)(80 oC) = 1.76 x 10^-5 m\)

The last length of the plate is L + ΔL = 2 m + 1.76 x \(10^-5\) m = 2.0000176 m (approx.)

The last width of the plate is thought to be unaltered as it isn't impacted by the adjustment of temperature.

Thusly, the last region of the plate is A = L*W = (2.0000176 m)(2 m) = 4.0000352 \(m^2\) (approx.)

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Answer:

P = (2 + 3) * V       where V is their initial speed  (total momentum)

P = 2 * 10 + 3 * Vx     where Vx here would be V3

If the initial momentum is not known how can one determine the final velocity of the 3 kg obj.

Also work depends on the sum of the velocities

W (initial) = 1/2 (2 + 3) V^2     the initial kinetic energy

W (final) = 1/2 * 2 * V2^2 + 1/2 * 3 * V3^2

It appears that more information is required for this problem

Nitrile gloves are more impermeable than latex gloves is the correct answer.

Nitrile gloves are a type of personal protective equipment (PPE) used in various industries, including medical, dental, and food service. They are made of synthetic rubber known as nitrile, which is puncture-resistant and provides a barrier against liquids, chemicals, and other hazardous materials. Nitrile gloves are often preferred over latex gloves because they do not cause allergic reactions and are more durable. They also provide an excellent fit and are easy to put on and take off, making them a popular choice for people who need to wear gloves for extended periods of time.

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Given:

The initial velocity of the arrow in an upward direction is

The time duration is t = 4.5 s.

Required: The distance travelled by the arrow.

Explanation:

The distance travelled in an upward direction can be calculated by the formula,

Here, a= -g is the acceleration due to gravity whose value is

On substituting the values, the distance covered by the arrow will be

Final Answer: The distance covered by the arrow is 116.78 m

Answer:

Because the coefficient of restitution is less than 1.

This coefficient is 1 for a perfectly elastic collision.

Some of the energy of the fall is absorbed by the ball so the ball cannot return to its original height.

Also, you have the effects of air resistance and some energy absorption of the the reflecting surface.