Which statement best describes the liquid state of matter?

The chain of length L and mass per unit length rho is released from rest on the smooth horizontal surface with a negligibly smal

devlian [24]

Answer:

Part a)

$a = \frac{x}{L} g$

Part b)

$T = \rho x g(1 - \frac{x}{L})$

Part c)

$v = \sqrt{gL}$

Explanation:

Part a)

Net pulling force on the chain is due to weight of the part of the chain which is over hanging

So we know that mass of overhanging part of chain is given as

$m = \rho x$

now net pulling force on the chain is given as

$F = \rho x g$

now acceleration is given as

$F = Ma$

$\rho x g = \rho L a$

$a = \frac{x}{L} g$

Part b)

Tension force in the part of the chain is given as

$mg - T = ma$

$\rho x g - T = \rho x a$

$\rho x(g - a) = T$

$\rho x (g - \frac{x}{L} g) = T$

$T = \rho x g(1 - \frac{x}{L})$

Part c)

velocity of the last link of the chain is given as

$a = \frac{x}{L} g$

$v\frac{dv}{dx} = \frac{x}{L} g$

now integrate both sides

$\int v dv = \frac{g}{L} \int x dx$

$\frac{v^2}{2} = \frac{gL}{2}$

$v = \sqrt{gL}$

3 0

2 years ago

Potential energy is defined as

Soloha48 [4]

Answer:

c

Explanation:

it is stored energy because it is built up in said object

4 0

3 years ago

what helps differentiate between the sound of a fire truck, an ambulance and an 18 wheeler? imbre form dynamics sound

DENIUS [597]

Dynamics sound helps differentiate between the sound of a fire truck, an ambulance and an 18-wheeler.

<h3 /><h3>What is dynamics sound?</h3>

Elements allude to the din or delicateness of music. Elements offer a method for showing articulation in printed music. They help to drive the profound substance of music through volume and force. Elements can likewise be shown at the large-scale level for a piece of music in general. This may be just a single time toward the beginning, or a few times all through in the event that the din changes during various segments. Static elements are melodic directions that advise us to play the music at a specific volume that doesn't change. As such, don't get stronger or calmer, play each note at a similar volume as the final remaining one.

Learn more about dynamics sound, refer:

brainly.com/question/760557

#SPJ4

6 0

1 year ago

4 identical coins of mass M and radius R are placed in a square, so the center of each coin lies on a corner of the square. The

kati45 [8]

Answer:

I_{total} = 10 M R²

Explanation:

The concept of moment of inertia in rotational motion is equivalent to the concept of inertial mass for linear motion. The moment of inertia is defined

I = ∫ r² dm

For body with high symmetry it is tabulated, in these we can simulate them by a solid disk, with moment of inertia for an axis that stops at its center

I = ½ M R²

As you hear they ask for the moment of energy with respect to an axis parallel to the axis of the disk, we can use the theorem of parallel axes

I = $I_{cm}$ + M D²

Where I_{cm} is the moment of inertia of the disk, M is the total mass of the system and D is the distance from the center of mass to the new axis

Let's apply these considerations to our problem

The moment of inertia of the four discs is

I_{cm} = I

I_{cm} = ½ M R²

For distance D, let's use the Pythagorean Theorem. As they indicate that the coins are touched the length of the square is L = 2R, the distance from any spine to the center of the block is

D² = (R² + R²)

D² = R² 2

Let's calculate the moment of inertia of a disk with respect to the axis that passes through the center of the square

I = ½ M R2 + M R² 2

I = 5/2 M R²

This is the moment of inertia of a disc as we have four discs and the moment of inertia is a scalar is additive, so

$I_{total}$ = 4 I