Question
Can you show the steps for this problem? Newton's second law of motion is expressed by the equation F =ma, where F represents force, m is mass, and a is acceleration. (a)The SI unit of force is, appropriately, called the Newton (N). Whatare the units of the newton in terms of base quanties? (b) Anequation for force associated with uniform cicular motion is F =mv2/r, where v is speed and r is the radius of thecircular path. Does this equation give the same units for thenewton? Can you show the steps for this problem? Newton's second law of motion is expressed by the equation F =ma, where F represents force, m is mass, and a is acceleration. (a)The SI unit of force is, appropriately, called the Newton (N). Whatare the units of the newton in terms of base quanties? (b) Anequation for force associated with uniform cicular motion is F =mv2/r, where v is speed and r is the radius of thecircular path. Does this equation give the same units for thenewton?
Explanation / Answer
kgm/sec2 yes force=mv2/r=kg[m/sec*m/sec]/m=kgm/sec2 yes force=mv2/r=kg[m/sec*m/sec]/m=kgm/sec2