Exploring the Relationship Between Work, Energy, and Forces in Dynamics

In summary, The weight of the body is partially opposed by the springs, but not fully. The resultant net force is downward and it accelerates the body downwards (but more slowly than if it were in free-fall). The force down is the weight, and the force up is that of two springs together with the inertial force (F = ma) of the body as it is accelerated. The formula for the energy stored in a linear spring is ½.kx² and it can be used to calculate the energy in this scenario without the use of calculus.
  • #1
Marchese_alex
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One question about this excercise. Why "W" isn't included in the sum of forces? Is doing work because is in the same direction of the movement, so I would assume that both the force of spring and weight would be in in my sum of forces. But this is not the case here, why is that?
 

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  • #2
The weight of the body is partially opposed by the springs, but not fully. The resultant net force is downward and it accelerates the body downwards (but more slowly than if it were in free-fall). The force down is the weight, and the force up is that of two springs together with the inertial force (F = ma) of the body as it is accelerated.

You don't need to use calculus here if you memorize the formula that the energy stored in a linear spring is ½.kx² (and if you forget this formula you can work it out when needed like the author does here). :smile:
 
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What is work?

Work is the measure of the amount of energy transferred when a force is applied to an object and causes it to move in the direction of the force. It is calculated by multiplying the magnitude of the force by the distance the object moves.

What is the unit of work?

The unit of work is the joule (J), which is equal to one newton-meter (N·m). It is a derived unit in the International System of Units (SI).

What is energy?

Energy is the ability of a system to do work. It is a scalar quantity that can be transferred between objects or converted into different forms, such as kinetic, potential, thermal, or chemical energy.

What is the relationship between work and energy?

Work and energy are directly related, as work is the measure of the transfer of energy. When work is done on an object, energy is transferred to the object, and when work is done by an object, energy is transferred away from the object.

What is the law of conservation of energy?

The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.

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