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aleksley [76]
3 years ago
12

A mass of 5.00 kg pulls down vertically on a string that is wound around a rod of radius 0.100 m and negligible moment of inerti

a. The rod is fixed in the center of a disk. The disk has mass 125 kg and radius 0.2 m. They turn freely about a fixed axis through the center. What is the angular acceleration of the rod, in radians/s 2
Physics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

<em>0.981 rad/sec^2</em>

<em></em>

Explanation:

mass that pulls on string = 5 kg

weight due to mass = 5 x 9.81 = 49.05 N

radius of rod = 0.1 m

torque produced by this force on the rod = force x radius

torque = 49.05 x 0.1 = 4.905 N-m

mass of disk = 125 kg

radius of disk = 0.2 m

moment of inertia of the disk I = mr^{2}

I = 125 x 0.2^{2} = 5 kg-m^2

from the equation, <em>T = Iα</em>

where T is torque

I is moment of inertia

α is angular acceleration

imputing values,

4.905 = 5α

α = 4.905/5 = <em>0.981 rad/sec^2</em>

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Answer:

The angle between two forces is 165 degrees.

Explanation:

We have,

Force 1, F_1=27\ N

Force 2, F_2=30\ N

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It is required to find the angle between two forces. The resultant of two force is given by the formula as follows :

F=\sqrt{F_1^2+F_2^2+2F_1F_2\cos\theta}

\theta is the angle between F₁ and F₂

So,

F^2=F_1^2+F_2^2+2F_1F_2\cos\theta\\\\\cos\theta=\dfrac{F^2-F_1^2-F_2^2}{2F_1F_2}\\\\\cos\theta=\dfrac{(8)^2-(27)^2-(30)^2}{2\times 27\times 30}\\\\\cos\theta=-0.966\\\\\theta=\cos^{-1}\left(-0.966\right)=165^{\circ}

So, the angle between two forces is 165 degrees.

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Answer:

Laws of Thermodynamics

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First Law of Thermodynamics: Energy can be changed from one form to another, but it cannot be created or destroyed. The total amount of energy and matter in the Universe remains constant, merely changing from one form to another. The First Law of Thermodynamics (Conservation) states that energy is always conserved, it cannot be created or destroyed. In essence, energy can be converted from one form into another. Click here for another page (developed by Dr. John Pratte, Clayton State Univ., GA) covering thermodynamics.

The Second Law of Thermodynamics states that "in all energy exchanges, if no energy enters or leaves the system, the potential energy of the state will always be less than that of the initial state." This is also commonly referred to as entropy. A watchspring-driven watch will run until the potential energy in the spring is converted, and not again until energy is reapplied to the spring to rewind it. A car that has run out of gas will not run again until you walk 10 miles to a gas station and refuel the car. Once the potential energy locked in carbohydrates is converted into kinetic energy (energy in use or motion), the organism will get no more until energy is input again. In the process of energy transfer, some energy will dissipate as heat. Entropy is a measure of disorder: cells are NOT disordered and so have low entropy. The flow of energy maintains order and life. Entropy wins when organisms cease to take in energy and die.

Potential vs. Kinetic energy

Potential energy, as the name implies, is energy that has not yet been used, thus the term potential. Kinetic energy is energy in use (or motion). A tank of gasoline has a certain potential energy that is converted into kinetic energy by the engine. When the potential is used up, you're outta gas! Batteries, when new or recharged, have a certain potential. When placed into a tape recorder and played at loud volume (the only settings for such things), the potential in the batteries is transformed into kinetic energy to drive the speakers. When the potential energy is all used up, the batteries are dead. In the case of rechargeable batteries, their potential is reelevated or restored.

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Energy is defined as the ability to do work. Cells convert potential energy, usually in the from of C-C covalent bonds or ATP molecules, into kinetic energy to accomplish cell division, growth, biosynthesis, and active transport, among other things.

Learning Objectives 

These learning objectives are taken from my Biology for Nonmajors class (BIO 102). I have tried to add a link to each that will direct you to a part of this chapter or another website that will facilitate your completion of the objective.

Define energy; be able to state the first and second laws of thermodynamics.

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