The force acting on a body is given as where  is displacement and t is time. If the dimensions of  is  then the value of  is ________ .

The  force  is  given  in  terms  of  time  t  and displacement x by the equation           F = A cosBx + C sin DtThe dimensional formula of  is   (a)  [M 0 LT− 1]         (b) [M  L2T− 3] (c) [M 1 L1T−2] [M2 L2T−3]

Force has the dimension of mass times acceleration:Force=𝑀⋅𝐿⋅𝑇−2Force=M⋅L⋅T −2

F = force (N)m = mass (kg)a = acceleration (m/s2)V = velocity (m/s)R = radius (m)t = time (s)Which one of the following equations is dimensionally homogeneous? (Select all that apply.)F = mVF(t2 − t1) = m(V2 − V1)F = m(V2 − V1)(t2 − t1)F = maF = mV2R

Define the following: i) Physics         ii) fundamental quantities.                           2mrksb.         Derive the dimension and unit for force

Which of the following is dimensionlessa.volume/areab.velocity/accelerationc.energy/workd.force/acceleration