Astronaut launches bowling ball
posted by David
A 100 kg astronaut carries a launcher loaded with a 10 kg bowling ball; the launcher and the astronaut’s spacesuit have negligible mass. The astronaut discovers that firing the launcher results
in the ball moving away from her at a relative speed of 50 m/s.
The astronaut in the previous situation is now moving at 10 m/s (as measured in a certain frame
of reference). She wishes to fire the launcher so that her velocity turns through as large an angle
as possible (in this frame of reference). What is this maximum angle? (Hint: a diagram may be
useful.)
The answer is 27 degrees. I do not know how. I think she must fire the ball perpendicularly to her velocity, but I instead got 29 degrees as my answer. Help?

Siddarth
The maximum angle actually does not occur when she fires the ball perpendicularly to her velocity. It occurs when the angle between the velocity from the launcher and the resultant velocity are at 90 degrees to each other. The impulse of the astronaut is about 455 Ns. Therefore, the velocity given by the ball is 4.55 m/s. sin angle = 4.55/10 so the angle is 27 degrees.

Anonymous
50
Respond to this Question
Similar Questions

physics
an astronaut on the moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 25 m/s what is the range of the projectile? 
physics
An astronaut whose mass is 80. kg carries an empty oxygen tank with a mass of 10. kg. The astronaut throws the tank away with a speed of 2.0 m/s. With what velocity does the astronaut start to move off into space? 
physics
An astronaut on the Moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 23 m/s, what is the range of the projectile? 
physics
A ball weighing 1.78 N is shot through a launcher, achieving a speed ( from rest) of 41 m/s in 0.28 s. A) What is the mass of the ball? 
Physics
An (63Kg) astronaut, floating alone in outer space, catches a 7Kg bowling ball traveling at 20m/s. The velocity of the astronaut and bowling ball after the catch is 
Physics
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too … 
Physical Science
An astronaut in a spacesuit has a mass of 100 kilograms. What is the weight of this astronaut on the surface of the Moon where the strength of gravity is approximately 1/6 that of Earth? 
physics
An astronaut comes loose while outside the spacecraft and finds himself floating away from the spacecraft with only a big bag of tools. In desperation, the astronaut throws his bag of tools in the direction of his motion (away from … 
Physical Science
An astronaut in a spacesuit has a mass of 100 kilograms. What is the weight of this astronaut on the surface of the Moon where the strength of gravity is approximately 1/6 that of Earth? 
Physics
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too …