A sapceship nears the Moon along a parabolic trajectory that almost toches the Moon's surface. In order to transfer closest approach. The engine ejects gas ata speed of u = 4 km//s realtive to the spaceship In its direction of motion. If v_(1) = velocity of spaceship in parabolic trajectory, when it almost touches the earth and v_(2) = velocity of spaceship in circular orbit when it almost to'uches the earth. Then what friction of total mass should the fuel burn to transfer space ship to circular orbit?

A sapceship nears the Moon along a parabolic trajectory that almost to

1.	A sapceship nears the Moon along a parabolic trajectory that almost toches the Moon's surface. In order to transfer closest approach. The engine ejects gas ata speed of u = 4 km//s realtive to the spaceship In its direction of motion. If v_(1) = velocity of spaceship in parabolic trajectory, when it almost touches the earth and v_(2) = velocity of spaceship in circular orbit when it almost to'uches the earth. Then what friction of total mass should the fuel burn to transfer space ship to circular orbit?
Answer» Answer :`M = M_(0)e^((v_(1)-v_(2))/(U)) ; T = 3600 K`