5. If momentum is given by F = kv / m , where "k" is a constant and is velocity and "m" is mass, show what units must have for the equation to be dimensionally correct.
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Momentum is given by the equation F = kv / m. The unit of force (F) is Newtons (N). The unit of velocity (v) is meters per second (m/s). The unit of mass (m) is kilograms (kg). So, the units of momentum (F) are N. Now, let's look at the units of the constant Show more…
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Kinetic energy K (Chapter 5) has dimensions kg · m2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as K = p2 2m (a) Determine the proper units for momentum using dimensional analysis. (Use the following as necessary: kg, m, and s.) (b) The unit of force is the newton N, where 1 N = 1 kg · m/s2. What are the units of momentum p in terms of a newton and another fundamental SI unit? (Use the following as necessary: N, m, and s.)
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