Paleontologists estimate that if a Tyrannosaurus rex were to trip and fall, it w

Question

Paleontologists estimate that if a Tyrannosaurus rex were to trip and fall, it would have experienced a net force of approximately 262,500 N acting on its torso when it hit the ground. Assume the torso has a mass of 3840 kg. Find the magnitude of the torso's upward acceleration as it comes to rest. (For comparison, humans lose consciousness with an acceleration of about 7g.) 1 m/s2 (b) Assuming the torso is in free fall for a distance 1.56 m as it falls to the ground, how much time is required for the torso to come to rest once it contacts the ground?

Explanation / Answer

F = m a = F – mg --> a

= (F - mg) / m

= (262,500 - (3840*9.81)) / 3840

= 58.5 m/s2

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the touch down velocity = ( 2*s*g)

= (2.0 * 1.56 * 9.81)

The time for the torso to come to rest = touch down velocity / acceleration

= (2.0 * 1.56 * 9.81) / 58.5

= 0.0945 s

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