1. The impulse is
Assume the padding is 7 mm thick. Compared to no carpet, the time it takes for the patient to fall is increased because the patients must cover additional 7 mm of a certain resistive force caused by the material of the padding. The force IFI of gravity is the same, the time increased, the impulse reduced according to the equation.
2. (a) By Newton's second law:
(b) The method suggested in the condition reduces the acceleration of the astronaut. A method that does not reduce the acceleration must imply no connection to the vehicle of the body. We gan give the astronaut a gun that launches a projectile of known mass and known velocity. The astronaut will experience backward motion. We can measure the speed of previously stationary astronaut's recoil and find the mass applying conservation of momentum.
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