state Newton's second law of motion and derive F=m×a
Answers
Answer:
Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .
Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass.
Derivation
velocity be u ,final velocity be v, the time interval be t.
=> p1(initial momentum ) = mu
p2(final momentum )= mv
Therefore, (rate of change of momentum)
Δp=(mv-mu)/t
According to newton’s IInd law , F α Δp
=>F =k * (mv-mu)/t { k is a constant }
In S.I.Units, the value of k is 1
So. F= m(v-u)/t
=> F = ma
Hence proved