A rocket with mass 60,000 kilogram (kg), which includes 30,000 kg of fuel mixture, is fired vertically in a vacuum (free space where the gravitational field is negligible).During the burning process, the exhaust gases are ejected at a constant rate of 1000 kg/s and at a constant velocity with magnitude 400 m/s relative to the rocket.If the rocket was initially at rest, find its speed after 50 seconds.
A) 400 ln(3) m/s
B) 400 ln m/s
C) 400 m/s
D) 400 ln (2) m/s
E) 400 ln (6) m/s

Question

A rocket with mass 60,000 kilogram (kg), which includes 30,000 kg of fuel mixture, is fired vertically in a vacuum (free space where the gravitational field is negligible).During the burning process, the exhaust gases are ejected at a constant rate of 1000 kg/s and at a constant velocity with magnitude 400 m/s relative to the rocket.If the rocket was initially at rest, find its speed after 50 seconds.
A) 400 ln(3) m/s 
B) 400 ln m/s 
C) 400 m/s 
D) 400 ln (2) m/s 
E) 400 ln (6) m/s

Quizplus · Accepted Answer

The Answer of A rocket with mass 60,000 kilogram (kg), which includes 30,000 kg of fuel mixture, is fired vertically in a vacuum (free space where the gravitational field is negligible).During the burning process, the exhaust gases are ejected at a constant rate of 1000 kg/s and at a constant velocity with magnitude 400 m/s relative to the rocket.If the rocket was initially at rest, find its speed after 50 seconds.
A) 400 ln(3) m/s 
B) 400 ln m/s 
C) 400 m/s 
D) 400 ln (2) m/s 
E) 400 ln (6) m/s

A Rocket with Mass 60,000 Kilogram (Kg), Which Includes 30,000