Force is the central concept in classical mechanics. It is measured using the derived SI unit called the newton, represented by N. (a) Use the relationship a = F/m to determine the dimensions of the newton in terms of mass, length, and time. Here, m stands for mass, a is the acceleration with dimensions of length per time square and F is the force. OM . (L /T2 ) O L . M . T2 OL / ( M . T 2 ) O L/ ( M 3 . T ) (b) What is the "fundamental SI unit" of force? (That is, express 1 N in terms of kg, m, and s.) O kg3 . m/s O kg . m . s O kg . m/s2 O s . kg/m2 (c) The force exerted by a spring depends on the length x by which it is stretched or compressed: F = kx. The constant of proportionality k, known as the spring constant, depends on the stiffness of the spring and is the force the spring exerts per unit length. Use your results from part (b) to find the fundamental SI units for k. O kg/s2 O s3 . kg/m2 O kg . m2 . s O kg2 . m/s