If a person of mass m simply moved forward with speed v, his kinetic energy would be 12mv2. however, in addition to possessing a forward motion, various parts of his body (such as the arms and legs) undergo rotation. therefore, his total kinetic energy is the sum of the energy from his forward motion plus the rotational kinetic energy of his arms and legs. the purpose of this problem is to see how much this rotational motion contributes to the person's kinetic energy. biomedical measurements show that the arms and hands together typically make up 13.0 % of a person's mass, while the legs and feet together account for 37.0 %. for a rough (but reasonable) calculation, we can model the arms and legs as thin uniform bars pivoting about the shoulder and hip, respectively. in a brisk walk, the arms and legs each move through an angle of about ±30∘ (a total of 60∘) from the vertical in approximately 1 second. we shall assume that they are held straight, rather than being bent, which is not quite true. let us consider a 79.0-kg person walking at 5.50 m/s having arms 68.0 cm long and legs 93.0 cm long.1-what is the average angular velocity of his arms and legs? 2-using the average angular velocity from part a, calculate the amount of rotational kinetic energy in this person's arms and legs as he walks.3-what is the total kinetic energy due to both his forward motion and his rotation? 4-what percentage of his kinetic energy is due to the rotation of his legs and arms?

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .