Energy dissipated by friction

[MissKaylaPaige]

Homework Statement

Find the amount of energy E dissipated by friction by the time the block stops.
Express your answer in terms of some or all the variables m, v, and h and any appropriate constants.

Homework Equations

sqrt(v^2 + 2gh)

The Attempt at a Solution

I know it involves the equation for the law of conservation of energy, and the above equation, but the other constants I have not figured out.

 

[catkin]

The question is incomplete. Essential information is missing

 

[ogb p]

I would like to clarify that the equation you have provided is for the velocity of an object undergoing free fall, and does not directly relate to friction or energy dissipation. However, the amount of energy dissipated by friction can be calculated using the following equation:

E = μmgd

Where μ is the coefficient of friction, m is the mass of the object, g is the acceleration due to gravity, and d is the distance over which the object moves due to friction. This equation assumes that the object is moving at a constant speed and that the force of friction is constant over the distance d.

In terms of the variables given in the homework statement, the equation can be rewritten as:

E = μmv^2/2

This shows that the amount of energy dissipated by friction is directly proportional to the mass and velocity of the object, and the coefficient of friction. So, to find the amount of energy dissipated by friction by the time the block stops, we would need to know the values of these variables and the distance over which the block moves due to friction.

In summary, the amount of energy dissipated by friction can be calculated using the equation E = μmgd or E = μmv^2/2, where μ is the coefficient of friction, m is the mass of the object, v is the velocity, g is the acceleration due to gravity, and d is the distance over which the object moves due to friction.