R=u2sin2θgcap R equals the fraction with numerator u squared sine 2 theta and denominator g end-fraction Unit 2: Laws of Motion
Derived directly from Newton’s Second and Third Laws.Consider two colliding bodies, A and B. During impact, they exert forces on each other ( FABcap F sub cap A cap B end-sub FBAcap F sub cap B cap A end-sub ).According to Newton's Third Law:
ve2=2GMRv sub e squared equals the fraction with numerator 2 cap G cap M and denominator cap R end-fraction
Velocity is defined as the instantaneous rate of change of displacement ( v=dsdtv equals d s over d t end-fraction ds=v⋅dtd s equals v center dot d t Substitute the first equation of motion ( ) into this equation: ds=(u+at)dtd s equals open paren u plus a t close paren d t Integrate both sides. At time , displacement is , displacement is
R=u2sin2θgcap R equals the fraction with numerator u squared sine 2 theta and denominator g end-fraction Unit 2: Laws of Motion
Derived directly from Newton’s Second and Third Laws.Consider two colliding bodies, A and B. During impact, they exert forces on each other ( FABcap F sub cap A cap B end-sub FBAcap F sub cap B cap A end-sub ).According to Newton's Third Law: all important derivations of physics class 11 pdf download
ve2=2GMRv sub e squared equals the fraction with numerator 2 cap G cap M and denominator cap R end-fraction R=u2sin2θgcap R equals the fraction with numerator u
Velocity is defined as the instantaneous rate of change of displacement ( v=dsdtv equals d s over d t end-fraction ds=v⋅dtd s equals v center dot d t Substitute the first equation of motion ( ) into this equation: ds=(u+at)dtd s equals open paren u plus a t close paren d t Integrate both sides. At time , displacement is , displacement is A and B. During impact