# Need a relation between W,F,M,KE,P,Imp and H (one relation)

• krim71
In summary, the conversation is about a difficult question in a mechanics exam that involves finding a relation between work, force, moment, kinetic energy, linear momentum, impulse, and angular momentum. The question is considered impossible by the person asking for help. The suggested solution involves using various equations such as work-energy theorem, rotational motion equations, and impulse-momentum theorem. A potential solution is provided using these equations.
krim71
hi I'm in faculty of engineering.. and i study mechanics III .. there's a question that the doctor brought in the exam years ago.. and i couldn't solve it and its probably going to be in the final exam tomorow..

## Homework Statement

The question is simply: Find a relation (one relation) between all of those (Work, Force, Moment, kinetic energy, linear momentum, impulse, angular momentum)
the question is like an impossible one !
thnx all

## Homework Equations

U:work T:kinetic energy F:force M:moment Imp:impulse Q:linear momentum H:angular momentum ω:angular velocity θ:angle

U1->2 = T2-T1
T = (1/2)mv2 + (1/2)Iω2
U1->2 = ʃ Fdr
rotation motion. U1->2 = Mdθ
Q=mv
Imp1->2 = ʃ Fdt
Imp1->2 = Q2 - Q1
∑ ʃ Mdt = Ho1 - Ho2

## The Attempt at a Solution

U1->2 = T2 - T1 = ʃ Fdr = M(θ2 - θ1) = ʃ Qdv

rxImp1-2 = ∑ ʃ Mdt = H2 - H1

http://sphotos.ak.fbcdn.net/hphotos-ak-ash1/hs740.ash1/163244_190590177624582_100000208033338_791591_5562497_n.jpg
this solution is right?

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## 1. What is the relationship between work and force?

The relationship between work and force is described by the equation W = F*d, where W is work, F is force, and d is displacement. This means that work is directly proportional to force and the distance over which the force is applied.

## 2. How are mass and kinetic energy related?

The relationship between mass and kinetic energy is described by the equation KE = 1/2*m*v^2, where KE is kinetic energy, m is mass, and v is velocity. This means that kinetic energy is directly proportional to mass and the square of velocity.

## 3. What is the relationship between power and work?

The relationship between power and work is described by the equation P = W/t, where P is power, W is work, and t is time. This means that power is directly proportional to work and inversely proportional to time.

## 4. How does impulse affect momentum?

The relationship between impulse and momentum is described by the equation Imp = m*(v2-v1), where Imp is impulse, m is mass, and v2-v1 is the change in velocity. This means that impulse is directly proportional to the change in momentum, and therefore affects the overall momentum of an object.

## 5. What is the relationship between potential energy and height?

The relationship between potential energy and height is described by the equation PE = m*g*h, where PE is potential energy, m is mass, g is the acceleration due to gravity, and h is the height of the object. This means that potential energy is directly proportional to the mass, the acceleration due to gravity, and the height of an object.