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 short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion (away from the space station). The astronaut has a mass of 113 kg and the bag of tools has a mass of 13.0 kg. If the astronaut is moving away from the space station at 2.10 m/s initially, what is the minimum final speed of the bag of tools (with respect to the space station) that will keep the astronaut from drifting away forever?

  1. 👍 0
  2. 👎 0
  3. 👁 3,337
  1. the astronaut+bag has momentum (113+13.0)*2.1 = 264.6 kg-m/s relative to the station

    We want him to have momentum < 0, so he will be drifting back toward the station.

    So, the bag must have all the previous momentum.

    13.0 * v = 264.6
    v = 20.35 m/s

    With this bag velocity, the astronaut comes to a halt. Anything greater causes him to drift backwards.

    1. 👍 5
    2. 👎 1
  2. jnn

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    1. In outer space, where there is no gravity or air, an astronaut pushes with an equal force of 20 N on a 3 N moon rock and on a 9 N moon rock. Which statement is the most accurate about this situation? A. Since both rocks are

  2. Physics 1

    An astronaut in her space suit has a total mass of m1 = 76.9 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft,

  3. Physics

    An astronaut on the planet Vimrom IV finds that she can jump a maximum horizontal distance of 12.00 m if her initial speed is 4.90 m/s. What is the acceleration due to gravity on this planet? In the previous problem, what is the

  4. physics

    An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 17.0 m if her initial speed is 3.80 m/s. What is the free-fall acceleration on the planet?

  1. 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?

  2. Physics

    A 97kg astronaut and a 1100kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.13m/s directly away from the shuttle. Seven and a half seconds later the astronaut

  3. Physics

    The mass of an astronaut is 72kg. (a) what is his weight on earth ( taking g to be 10N/kg) ? (b) if the astronaut is on the moon's surface where the acceleration due to gravity is one-sixth on the earth , calculate (I) the mass

  4. Physics

    An astronaut is inside a rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but you also do not want the astronaut to black out. Medical

  1. Physics

    The diagrams above show an astronaut in a sealed room (with air). The astronaut is weighing a pink vase under three conditions. In diagram A, the room is on the surface of the Earth. In diagram B, the room is floating in space

  2. Physics

    How to solve? 2. A 70.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 10.0 m) and spun at a constant angular velocity of 16.3 rpm. Answer the following: a. What

  3. physics

    An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 2.40 m/s. What is the free-fall acceleration on the planet?

  4. Atomic physics

    1)Five possible transitions for a hydrogen atom are listed below: Select whether the atom gains or loses energy for each transition. a. Loses Gains ni = 6; nf = 4 Loses Gains ni = 4; nf = 2 Loses Gains ni = 5; nf = 3 Loses Gains

You can view more similar questions or ask a new question.