The SI unit of energy is J = kg m2 s-2; that of speed v is m s-1 and of acceleration a is m s -2. Which of then formulae for kinetic energy (k) given below can you rule out on the basis of dimensional arguments (m stand for the mass of the body)? (a) K = m2v3 (b) K = (1/2) mv2 (c) K = ma (d) K = (3/16) mv2 (e) K = (1/2) mv2 + ma
![“The distances traversed, during equal intervals o time, by a body falling from rest, stand to one another in the same rate as the odd numbers beginning with unity [namely, 1:3:5:7…..]”. Prove it.](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzOm5NQTIGTJSjDd0Tot5TRYW-49ut33LKB3WN46H9d517HmYQFLBl7myG9-J86K3lowRZ15zJi5Z0Se-0pin8-lQV7lx9vxQ7VBJLGxaQ3iFX5W3nFyQmYeUMHo8y5Nx7vIDIiTnv2UU/w680/Capture+-+2+%25281%2529.JPG)
 given below can you rule out on the basis of dimensional arguments (m stand for the mass of the body)? (a) K = m2v3 (b) K = (1/2) mv2 (c) K = ma (d) K = (3/16) mv2 (e) K = (1/2) mv2 + ma){kind=link}
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