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

The dimensionally homogeneous equations are those where each term on both sides of the equation has the same dimensions.

1. F = mV: This equation is not dimensionally homogeneous. The left side (force) has dimensions of mass x acceleration (kgm/s^2), while the right side has dimensions of mass x velocity (kgm/s).

2. F(t2 − t1) = m(V2 − V1): This equation is not dimensionally homogeneous. The left side has dimensions of force x time (kgm/s^2s), while the right side has dimensions of mass x velocity (kg*m/s).

3. F = m(V2 − V1)(t2 − t1): This equation is not dimensionally homogeneous. The left side has dimensions of force (kgm/s^2), while the right side has dimensions of mass x velocity x time (kgm/s*s).

4. F = ma: This equation is dimensionally homogeneous. Both sides have dimensions of force (kg*m/s^2).

5. F = mV2R: This equation is not dimensionally homogeneous. The left side has dimensions of force (kgm/s^2), while the right side has dimensions of mass x velocity^2 x length (kgm^2/s^2).

So, the only dimensionally homogeneous equation is F = ma.