(4) (a) The density of iron is 7.85 g/cm under standard conditions. Convert this to kg/m. (b) The distance from the NJIT to your home is 100 miles and it usually takes 20 min to drive this distance. Calculate the average speed in meters per second (m/s)? 8 points (5) Consider the physical quantities s, v, a, and t with dimensions [s] =L, [v] = L/t, [a] = L/t, t is the time s is length (L) Determine whether each of the following equations is dimensionally consistent: 1. s vt+0.50at 2. s vt+0.50at 3. v=at + sin (at) 4. a= +100 t 12 points (6) Calculate the work done by a student in lifting a 100 kg book from the ground and keeping it on a shelf 10 m height. 5 points