Question

to check the correctness of physical equation
f=ma​

Answer 1

Checking Dimensional correctness

Checking Dimensional correctnessF = m ×a

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of force

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHS

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/s

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,So,

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,So,Dimensional formulas of both sides are equal, Hence F= ma is Dimensionally correct.

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,So,Dimensional formulas of both sides are equal, Hence F= ma is Dimensionally correct.To remember

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,So,Dimensional formulas of both sides are equal, Hence F= ma is Dimensionally correct.To rememberA dimensionally correct equation may or may not be the real equation.

Checking Dimensional correctnessF = m ×aTo find, Dimensional correctness of F = ma,We need to equate the dimensions of both sides.Let's start with the LHS,F is given as, Newtons, or Kgm/s²So, Dimensional equation of forceNow, Compare the RHSMass Dimensions are [M]Acceleration is given by, m/sSo, Dimensional equation of acceleration is,So,Dimensional formulas of both sides are equal, Hence F= ma is Dimensionally correct.To rememberA dimensionally correct equation may or may not be the real equation.But, A dimensionally incorrect will never be the real equation.