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 force of approximately 260,000 N acting on its torso when it hit the ground.

A.) Assuming the torso has a mass of 3800 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 7 g.) ANSWER= 59 m/s^2

B.) Assuming the torso is in free fall for a distance of 1.24 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

Here ,

a)

F = 260000 N

mass , m = 3800 Kg

let the acceleration is a

Using second law of motion

F - m * g= m * a

260000 - 3800 * 9.8 = 3800 * a

solving for a

a = 59 m/s^2

the upwards acceleration is 59 m/s^2

B)

height , h = 1.24 m

speed of torso when it hit ground , v = sqrt(2 * g * h)

v = sqrt(2 * 9.8 * 1.24)

v = 4.93 m/s

time required for torso to come to rest = v/a

time required for torso to come to rest = 4.93/59 s

time required for torso to come to rest = 0.084 s

the time required for torso to come to rest is 0.084 s

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.