A merry-go-round rotates at the rate of
0.14 rev/s with an 100 kg man standing at
a point 2.1 m from the axis of rotation.
What is the new angular speed when the
man walks to a point 0 m from the center?
Consider the merry-go-round is a solid 83 kg
cylinder of radius of 2.1 m.
Answer in units of rad/s.
part2: What is the change in kinetic energy due to
this movement?
Answer in units of J.

Answer:

44.294 m/s

you might want to double check the answer depending on what you use for g. some people use 9.81, some 9.8, and some 10. that can effect the final answer

Explanation:

use the formula [tex]v^{2}-v_{0}^{2} = 2ax[/tex], which can be moved around to get [tex]v = \sqrt{2ax}[/tex]

note that mass does not effect the velocity

since the blocks were dropped from rest, v_0 = 0m/s. a = g = 9.81 m/s^2, and x = h = 100m.

plug in the values for the variables to get v = sqrt(2(9.81)(100)) = 44.294 m/s for both blocks

Answer:

Explanation:

o have 57 J of kinetic energy?

We can use the work-energy principle to solve this problem. The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. The work done by a constant force on an object is given by the product of the force and the distance over which the force is applied.

Let's first find the initial kinetic energy of the block, which is zero because the block is initially at rest. Then we can find the work done by the force:

W = Fd = (7.0 N)(2.0 m) = 14 J

The work done by the force is 14 J. We want to find the additional distance the force would have to act to give the block a total kinetic energy of 57 J. Let x be the additional distance:

Work done by force over x distance:

W = Fd = (7.0 N)(x) = 7x J

The total work done on the block is the sum of the work done by the force and the change in kinetic energy:

W_total = W + ΔK

where ΔK is the change in kinetic energy.

At the final position, the block has 57 J of kinetic energy, so:

W_total = 57 J

We can now solve for the additional distance x:

W_total = W + ΔK

57 J = 14 J + (1/2)mv_f^2

where v_f is the final velocity of the block.

Since the block starts from rest, the final velocity is given by:

v_f^2 = 2ΔK / m

v_f^2 = 2(57 J) / 0.60 kg = 95 m^2/s^2

v_f = sqrt(95) = 9.746 m/s

Now we can solve for x:

57 J = 14 J + (1/2)(0.60 kg)(9.746 m/s)^2 - (1/2)(0.60 kg)(0 m/s)^2

57 J = 14 J + 27.8 J + 0

57 J - 14 J - 27.8 J = 7x J

15.2 J = 7x J

x = 2.17 m

Therefore, the force would have to act for an additional distance of 2.17 m for the block to have 57 J of kinetic energy.

Answer:0.66m/s

Explanation:

We can calculate the time it takes for the ball to fall to the floor. y = (1/2) a t^2 t = sqrt { 2y / g } t = sqrt { (2) (0.70 m) / (9.80 m/s^2) } t = 0.378 seconds In a time of 0.378 seconds, the ball traveled a horizontal distance of 0.25 meters. We can find the horizontal speed when the ball was rolling on the desk. v = d / t v = 0.25 m / 0.378 s v = 0.66 m/s The ball was rolling at a speed of 0.66 m/s when it was rolling on the desk.

Ben's mental illness could be considered abnormal under the definition of abnormality as  the inability to function effectively.

The correct answer is C.

According to the definition of abnormality as the inability to function effectively, Ben's difficulty holding a job due to his mental illness would be considered abnormal.

This definition of abnormality is focused on whether a person's behavior is causing them to be unable to effectively carry out their daily tasks and responsibilities. In this case, Ben's mental illness is interfering with his ability to function in a work environment, which is a sign of abnormality.

Learn more about mental illness here: https://brainly.com/question/933852

#SPJ1

"An ice skater initially skating at a velocity of 3 m/s speeds up to a velocity of 5 m/s. The momentum of the skater increases." Correct option is B.

Momentum is given by the equation,

P = mv

where,

m is mass

v is velocity

As mass is maintained constant, the momentum from the given equation is directly proportional to the velocity of the ice skater.

If the velocity of the ice skater increases, then the momentum of the ice skater also increases.

In this problem, the velocity of the ice skater which was initially 3 m/s increases to 5 m/s.

This means that the momentum of the ice skater also increases.

Thus, the momentum tends to increase as velocity increases. The correct option is B.

The given question is incomplete. The complete question is 'A. Remains the same B. Increases C. Becomes zero D. Decreases'

To know more about momentum:

https://brainly.com/question/13364859

#SPJ4

The average acceleration is roughly 2.51 m/s2 in magnitude.

The pace at which a displacement varies is known as velocity.. . Velocity is a vector quantity because it comprises both magnitude and direction. Acceleration, which is the rate at which velocity changes, is also a vector quantity.

Using the following formula, we can get the particle's average acceleration:

velocity change x time change equals average acceleration.

initial speed:

The initial velocity consists of two parts: one perpendicular to the +2 axis and one parallel to it. The following is the component along the +2 axis:

v1x = v1 cosθ = 11 cos(30°) ≈ 9.55 m/s

v1y = v1 sinθ = 11 sin(30°) ≈ 5.5 m/s

Final velocity:

v2y = -5 m/s

Therefore, the change in velocity is:

Δv = v2 - v1 = -5 m/s - 11 m/s sin(30°) i - 11 m/s cos(30°) j ≈ -10.05 j m/s

Change in time:

The change in time is:

Δt = 6 s - 2 s = 4 s

Adding everything up, the average acceleration is as follows:

|average acceleration| = |Δv / Δt| = |-10.05 j m/s / 4 s| ≈ 2.51 m/s².

To know more about acceleration visit:-

https://brainly.com/question/12550364

#SPJ1

As the substance's thermal energy increases, the kinetic energy of its particles increases, and vice versa.

The kinetic energy of an object increases as its mass or velocity increases. For example, a heavy object moving at a high speed has more kinetic energy than a lighter object moving at a lower speed. Additionally, the direction of an object's motion is not relevant to its kinetic energy, as long as it is moving. Kinetic energy is a scalar quantity, meaning that it has only magnitude and no direction. It is also a form of mechanical energy, which is energy that is associated with the motion or position of an object. Other forms of mechanical energy include potential energy, which is energy that an object possesses due to its position or configuration, and thermal energy, which is the energy associated with the motion of particles within a substance.

Here,

Thermal energy is a form of energy associated with the motion of particles in a substance. Specifically, thermal energy is the sum of the kinetic energies of the particles in a substance. So, as the temperature of a substance increases, the average kinetic energy of its particles also increases. This means that the particles move faster and have greater kinetic energy. Therefore, there is a direct relationship between a substance's thermal energy and its kinetic energy. If the substance's thermal energy increases, its particles will have more kinetic energy and will move faster. Conversely, if the substance's thermal energy decreases, its particles will have less kinetic energy and will move more slowly.

To know more about kinetic energy,

https://brainly.com/question/26472013

#SPJ1

Answers:

Question 1: As the substance’s thermal energy increases, the kinetic energy of its particles increases, and vice versa.

Question 2: Its molecules move around more quickly, so there is more space between them, making it less dense than the air above it.

Question 3: Warmer sauce at the bottom of the pot is less dense, so it rises, forcing cooler sauce down, where it is warmed.

Question 4: Hot soup warms the bowl where it sits.

Question 5: transfer of thermal energy through infrared waves

Explanation:

i just did the quick check

Radius of wire is not used to determine the magnetic force on a current-carrying wire in a magnetic field

A magnetic field is a region in space where magnetic forces can be detected. It is created by the motion of electric charges, such as the movement of electrons in an electric current or the spinning of electrons in an atom.

A magnetic field is represented by lines of force that can be visualized using magnetic field lines. These lines indicate the direction of the magnetic field at each point in space and the strength of the magnetic field is indicated by the density of the lines.

Read more on magnetic field here:https://brainly.com/question/14411049

#SPJ1

Answer:

Weight is considered a force, since it is a measurement of the amount of gravity pulling on an object.

The other transformation used in creating this pattern other than translation is 180° rotation.

Pattern transformation refers to the process of altering or manipulating a basic pattern in order to create a new and unique design. This can involve changing the scale, orientation, color, or other characteristics of the original pattern.

One common method of pattern transformation is through repetition, where a pattern is repeated in a regular or irregular arrangement. This can create a sense of movement, rhythm, or complexity within the design.

The pattern in the image contains translation and rotation (180°) symmetries, the pattern is referred to as SPINNING HOP according to Conway.

Learn about Pattern transformation here https://brainly.com/question/28040796

#SPJ1

Explanation:

As wind moves past the blades of a wind turbine, it moves or rotates the blades. These blades turn a generator. A generator works as an inverse of an electric motor; instead of applying electrical energy to turn it and create mechanical energy, it uses mechanical energy to turn and create electrical energy. SIMPLE WORDS: a wind turbine moves which is mechanical energy and the way it moves is by the wind blowing and it goes both ways mechanical energy into wind energy wind energy into mechanical and when turbines move it creates wind also

Answer:

The probability of rolling an even number on the six-sided die and rolling a 16 on the other die is 1/30, since there is a 3/6 probability of rolling an even number on the six-sided die and a 1/16 probability of rolling a 16 on the sixteen-sided die.

The type of transformation which triangle ABC has undergone to form the triangle A B C is a vertical reflection which is therefore denoted as option D.

A vertical reflection reflects a graph vertically across the x-axis, while on the other hand a horizontal reflection reflects a graph horizontally across the y-axis.

The type of transformation on triangle is across the x-axis which us therefore the reason why vertical reflection was chosen as the correct choice.

Read more about Vertical reflection here https://brainly.com/question/29881815

#SPJ1

Answer:

D. vertical reflection

Explanation:

Refer to the image attached.