Which of the following shows the dimensions of force and acceleration respectively?

Explanation

Force (F) is defined by Newton's second law as mass (m) multiplied by acceleration (a) (F = ma).* The dimension of mass is [M] (Mass).* The dimension of acceleration is [L][T]^-2 (Length per time squared).Therefore, the dimension of Force is [M][L][T]^-2.Dimensions of Acceleration:Acceleration (a) is the rate of change of velocity, which is velocity per unit time. Velocity is defined as displacement per unit time.* The dimension of displacement (length) is [L].* The dimension of time is [T].* So, the dimension of velocity is [L][T]^-1.* Therefore, the dimension of acceleration is [L][T]^-1 / [T] = [L][T]^-2.