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# Dynamics dimensionalities

last edited by 3 years, 4 months ago

2.1.3.P12

A. For each of the quantities specified, put in the box the dimensionality of the quantity in terms of the appropriate powers of the dimensions M (mass), L (length), and T (time).

Position:        [x] =

Velocity:        [v] =

Acceleration: [a] =

Force:            [F] =

B. For each of the equations below, if t represents a time, d represents a distance, v represents a velocity, and f represents a force, identify whether the equation is dimensionally correct by putting the letter A (for "allowed") or F (for "forbidden") on the line after it.

1.  Δt = mv/f
2.  Δt = f/mv
3.  Δt = fv/m
4. d = mv2/f
5. d = f/m
6. d = mv/f

C. For each equation below, solve for the indicated quantity.

1. F/m = Δvt                       solve for Δt
2. Fnet = Fapp - βRv                 solve for β

Joe Redish 10/9/15