There are (one can say) three coequal theories of motion for a single particle:
ID: 1600133 • Letter: T
Question
There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on an object causes its acceleration; the work-kinetic energy theorem, stating that the total work on an object causes its change in kinetic energy; and the impulse-momentum theorem, stating that the total impulse on an object causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 2.60 kg object has velocity m/s. Then, a constant net force 10.0 IN acts on the object for 6.50 s (a) Calculate the object's final velocity, using the impulse momentum theorem. m/s (b) Calculate its acceleration from a (vf Vi)/At. m/s a (c) Calculate its acceleration from a F/m m/s a (d) Find the object's vector displacement from Ar it 1a t2 (e) Find the work done on the object from W F. ArExplanation / Answer
a)
impulse = change in momentum
Fxt = m (Vf-Vi)
Ft/m + Vi = Vf
Vf = 25 i + 7j
b)
a =Vf-Vi /t
a = 10/2.6
a = 3.846 i m/s^2
c)
a = F/m
a = 3.846 i m/s^2
d)
r = Vi t + 0.5at^2
r = 7x6.5 j + 3.846x0.5x6.5x6.5 i
r = 81.24675 i + 45.5 j
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.