P = mi w = wo + at Momentum (m₂v₁ + m₂v₂)₁ = (m₂v₁ + m₂V₂)ƒ Angular kinematics Δθ = wot + 5at2 w² = w² + 2a40 Torque T = rF sin(0) 1. An astronaut in her space suit has a total mass of 87 kg, including her suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a space walk. Initially at rest with respect to her spacecraft, she throws her 12 kg oxygen tank away from herself with a speed of 8 m/s to propel herself back towards it. Determine her velocity as she moves back towards the spacecraft. (use conservation of momentum) 2. A dentist's drill starts from rest. After 3.2 s of constant angular acceleration, it turns at a rate of 2,628 rad/s. Find the drills angular acceleration

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Chapter2: Vectors
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Please assist with question 1 with details on how to do it. Thank you.

P = mi
w = wo + at
Momentum
(m₁v₁ + m₂v₂)₁ = (m₂v₁ + m₂V₂)ƒ
Angular kinematics
A0 = wot + .Sat²
w² = w² + 2a40
Torque
T = rF sin(0)
1. An astronaut in her space suit has a total mass of 87 kg, including her suit and oxygen
tank. Her tether line loses its attachment to her spacecraft while she's on a space walk.
Initially at rest with respect to her spacecraft, she throws her 12 kg oxygen tank away
from herself with a speed of 8 m/s to propel herself back towards it. Determine her
velocity as she moves back towards the spacecraft. (use conservation of momentum)
2. A dentist's drill starts from rest. After 3.2 s of constant angular acceleration, it turns at a
rate of 2,628 rad/s. Find the drills angular acceleration
Transcribed Image Text:P = mi w = wo + at Momentum (m₁v₁ + m₂v₂)₁ = (m₂v₁ + m₂V₂)ƒ Angular kinematics A0 = wot + .Sat² w² = w² + 2a40 Torque T = rF sin(0) 1. An astronaut in her space suit has a total mass of 87 kg, including her suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a space walk. Initially at rest with respect to her spacecraft, she throws her 12 kg oxygen tank away from herself with a speed of 8 m/s to propel herself back towards it. Determine her velocity as she moves back towards the spacecraft. (use conservation of momentum) 2. A dentist's drill starts from rest. After 3.2 s of constant angular acceleration, it turns at a rate of 2,628 rad/s. Find the drills angular acceleration
Expert Solution
Step 1

Note: As per the guidelines, we can only answer first question of multiple question. Sorry for the inconvenience. For answer to the other question attached here, kindly re-post the question with mentioning the unanswered question part.

 

1)

Given data:

  • Total mass (mass of astronaut + mass of tank), mAT=87 kg
  • Initially, she is at rest. That means, the velocity of the astronaut and tank is equal to zero. 
  • Mass of oxygen tank, mT=12 kg
  • The velocity with which she throws the tank is 8 m/s

Our question is to find the final velocity of the astronaut. 

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