Instruction

1

The force

**of gravity**of the body approximately constant, equal to the product of body mass on the acceleration of free fall g. The acceleration of gravity g ≈ 9.8 Newton per kg, or meter per second squared. g is a constant, the value of which varies only slightly for different points of the globe.2

By definition, the elementary work

**of the force****of gravity**— the product**of the force****of gravity**at an infinitely small movement of the body: dA = mg · dS. The displacement S is a function of time: S = S(t).3

To find the

*work***forces****of gravity**all the way L, you have to take the integral of the elementary work in L: A = ∫dA = ∫(mg · dS) = mg · ∫dS.4

If the task is assigned to a function of speed from time to time, the dependence of travel time can be found by integration. For this you will need to know the initial conditions: the initial velocity, coordinates etc.

5

If the dependence of the acceleration time t, will have to integrate twice, because acceleration is the second derivative of the displacement.

6

If the task of this coordinate the equation, it should be understood that the movement reflects the difference between the starting and ending coordinates.

7

In addition to the

**force****of gravity**, the physical body can be other**forces**affecting its position in space. It is important to remember that the work is an additive value: the work of the resultant**force**is equal to the sum of the work terms of forces.8

According to the theorem of Kenig, the work

**force**on the moving material point is equal to the increment of the kinetic energy of this point: A(1-2) = K2 - K1. Knowing this, you can try to find*the work of the***force****of gravity**through kinetic energy.Useful advice

To use tabular integration integrals of the elementary functions and rules of integration. Remember that integration is the reverse procedure of differentiation (finding the derivative).