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Prove that KE =1/2mv2 is dimensionally correct pls help me I will make you brainliest |
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Answer» Answer: For the KINETIC formula, Ek, is certainly the energy of a mass, m, MOTION, of course, is v² Ek = 1/2 mv² Ek = Kinetic energy m = mass of the body v = velocity of the body kinetic energy formula derivation : Let us consider the EXAMPLE of an OBJECT of m which is at a state of rest on a table. A force Facts on the object which moves it through a distance S. The work done=FxS W=Fnet x S---(1) Consider the work done on the object which results in a change in velocity from u to V. Furthermore, one must let "a" be the acceleration. Considering the third equation of motion: V²-u²=2as s=V²-u²/2a----(2) Applying Newton's Second law: F=ma--(3) W=ma*(V²-u²/2a)\=(1/2)m(V²-u²) As the object in a state of rest, u=0 W=(1/2)m V² Furthermore, the kinetic energy of a body moving with a certain velocity is equal to work done on the object. This work is for the purpose of ACQUIRING that velocity from the estate of rest. Therefore, Kinetic energy =1/2 mV² Explanation: gonna be honest this is copied from someone else who answered this question somewhere else i hope its useful tho |
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