Note thatF = 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

The dimensionally homogeneous equations are:

F = ma

This equation is dimensionally homogeneous because the left side (force) has dimensions of mass times acceleration (kgm/s^2), and the right side also has dimensions of mass times acceleration (kgm/s^2).

F = mV^2/R

This equation is dimensionally homogeneous because the left side (force) has dimensions of mass times acceleration (kgm/s^2), and the right side has dimensions of mass times velocity squared divided by radius (kg(m/s)^2/m), which simplifies to mass times acceleration (kg*m/s^2).

The other equations are not dimensionally homogeneous because the dimensions on the left side do not match the dimensions on the right side.