A rocket ship, with mass m=20,000kg and engines mounted perpendi cularly in the
ID: 1441776 • Letter: A
Question
A rocket ship, with mass m=20,000kg and engines mounted perpendi cularly in the x- and y-directions, fires both rockets simultanesously. The engine oriented in the x-directions fires for 3 s and shuts off. The engine oriented in the y-direction fires for 7 s and shuts. The force from the engine in the x-direction in 50,000 N, and the force from the engine in the y-direction is 100,000 N. Make a scatter plot of the y-position of each partied as a function of the x-position, showing the trajectory of the rocket. Use Excel to determine the following. While the engines firing, what is the acceleration of the rocket in the x-and y-directions? After 7 s, what is the velocity of the rocket in the x- and y-directions? After 7 s, what is the speed of the rocket? After 7 s, how far has the rocket travelled in the x-direction? How far travelled in the y-direction? After 7s, what is the displacement of the rocket? After 10s/is the displacement of the rocket the same as the distance travelled? Ex[plain. If the mass of the rocket is doubled, what happens to the displacement?Explanation / Answer
given that
mass M=20.000 kg
the force on X-axis =50,000 N
the force on Y-axis =1,00,000 N
concept:
this problem belongs to basing on newtrons third law
and motion of rocket
Formula:
force =M*V/t
calculation:
(1) the acceleration of X-axis on Fx=MAx
acceleration of X-axis on =Fx/M
=50000/20000
=2.5 m/s^2
acceleration of Y-axis =Fy/M
=100000/20000
=5 m/s^2
(2) the velocity of rocket in X-axis Vx=Fx*t/M
=50000*7/20000
=17.5 m/s
the velocity of rocket in Y -axis Vy=Fy*t/m
=100000*7/20000
=35 m/s
(3) the speed of rocket ={Vx^2+Vy^2}^1/2
={17.5^2+35^2}^1/2
={306.25+1225}1/2
={1531.25}^1/2
=39.13 m/s
(4) after 7s
the displacement on X-axis =Vx*t
=17.5*7
=122.5 m
the displacement on Y-axis =Vy*t
=35*7
=245 m
after 10 s
the displacement X-axis =Vx*t
=17.5*10
=175 m
the displacement Y-axis =Vy*t
=35*10
=350 m
(6) if mass of rocket is doubled
the displacement is also drecases at half
because S=m
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