A rocket with a total mass of #20 kg# will take off with an acceleration of #12 ms^-2# if it is launched so that its trajectory is vertically upward. a) Calculate the force produced by the rocket engine? (please check below for part b)
b) The rocket is launched instead pointing at an angle so that its trajectory is a horizontal line. What then will its acceleration be?
(Assume that the rocket engine produces a constant force and that the mass of the
burnt fuel ejected is negligible.)
b) The rocket is launched instead pointing at an angle so that its trajectory is a horizontal line. What then will its acceleration be?
(Assume that the rocket engine produces a constant force and that the mass of the
burnt fuel ejected is negligible.)
1 Answer
(a) Net force acting on the rocket
#F_"net"=ma_"net"#
where#m# is mass of rocket.
If
#F_p-mg=ma_"net"#
Rearranging, taking acceleration due to gravity
#F_p=m(a_"net"+g)#
#=>F_p=20(12+10)#
#=>F_p=440\ N#
(b) Let us assume that the rocket is launched so that it has constant acceleration
If
#mveca_l-mghatj=ma_hhati#
where#ghatj# acts in the#-y# direction.
#=>veca_l=ghatj+a_hhati#