A body of mass 4 kg is accelerated up by a constant force, travels a distance of 5 m in the first second and a distance of 2m in the third second. The force acting on the body is

Options

A. 2N
B. 4N
C. 6N
D. 8N

Answer

A

Explanation

`aRbhArra=2^(k)*b` for some integer.
Reflexive `aRa` for k=0
symmetric aRb`hArr a=2^(k)b`
`impliesb=2^(-k)ahArrbRa`
Transitive `aRbhArra=2^(k_(1))b and bRchArrb=2^(k_(2))c`
`thereforea=2^(k_(1)).2^(k_(2))c`
`impliesa=2^(k_(1)+k_(2))chArrr aRc`
`thereforeaRb,bRc`
`impliesaRc`
So, R is an equivalence relation.