Please solve and answer the question correctly. Thank you!! **Scenario:**An unfortunate astronaut loses grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First, he attempts to throw a rope to a 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. **Given:**- Mass of Astronaut \((m_a) = 102 \, \text{kg}\)- Mass of Bag of Tools \((m_b) = 10.0 \, \text{kg}\)- Initial speed of astronaut \((v_i) = 1.50 \, \text{m/s}\)**Problem:**Determine the minimum final speed \((v_{b,f})\) of the bag of tools with respect to the space station that will prevent the astronaut from drifting away forever.**Solution Space:** (Here, solve using principles of conservation of momentum.)\[ \text{Conservation of momentum:} \]\[ m_a \cdot v_i = m_a \cdot v_{a,f} + m_b \cdot v_{b,f} \]Fill in the final speed \(v_{b,f}\) of the bag of tools in the box provided.\[ v_{b,f} = \quad \, \text{m/s} \]

Name: Please solve and answer the question correctly. Thank you!! **Scenario
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Please solve and answer the question correctly. Thank you!! **Scenario:**An unfortunate astronaut loses grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First, he attempts to thr