define an expression for KE of an object
Answers
Explanation:
Derivation for the equation of Kinetic Energy: The relation connecting the initial velocity (u) and final velocity (v) of an object moving with a uniform acceleration a, and the displacement, S is. v2 - u2 = 2aS. This gives. S = ½a(v2 - u2)
Answer:
The equation of kinetic energy can be acquired from the equation of motion. Let us assume that an object of mass m is initially at rest and in time t it moves with velocity of v. Consider that the distance covered by the object is s thus from we know that distance s is related to average velocity and time as follows,
s=vav×ts=vav×t
That is,
s=v−u2×ts=v-u2×t
As initially the object is at rest, therefore we get,
s=vt2s=vt2
Newton’s second law of motion says that,
F=maF=ma
As, a=vta=vt therefore we get,
F=mvtF=mvt
The work done by any object is defined as the product of force and the displacement, therefore we have,
W=mvt×vt2W=12mv2W=mvt×vt2W=12mv2
Therefore, according to the definition of kinetic energy the net work done is the change in kinetic energy of the object, therefore have,
kinetic energy= 0.5*m*v^2
Explanation: