Answered: Lex Luthor has dropped Lois Lane…

Name: Lex Luthor has dropped Lois Lane (initial velocity 0, mass 65.30 kg) f
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Description: Lex Luthor has dropped Lois Lane (initial velocity 0, mass 65.30 kg) from the top of a building of height 385 m. Fortunately, Superman flies to catch her 9.10 m before she hits the ground. (a) Ignoring air resistance, how fast is Lois moving when Sup

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Lex Luthor has dropped Lois Lane (initial velocity 0, mass 65.30 kg) from the top of a building of height 385 m. Fortunately, Superman flies to catch her 9.10 m before she hits the ground.

(a) Ignoring air resistance, how fast is Lois moving when Superman catches her? (enter as negative if downwards)

(b) What acceleration must Superman give to Lois if he is to stop her before she hits the ground? (enter as negative if downwards)

(c) Not forgetting that Lois also has weight, what force must Superman apply to stop her from hitting? (enter as negative if downwards)

Lex Luthor has dropped Lois Lane (initial velocity 0, mass 65.30 kg) from the top of a building of height 385 m. Fortunately, Superman flies to catch her 9.10 m before sh
hits the ground.
(a) Ignoring air resistance, how fast is Lois moving when Superman catches her? (enter as negative if downwards)
V = -86.79
m/s.
(b) What acceleration must Superman give to Lois if he is to stop her before she hits the ground? (enter as negative if downwards)
a = 10.0
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s
(c) Not forgetting that Lois also has weight, what force must Superman apply to stop her from hitting? (enter as negative if downwards)
F = 653.0
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kN.
(d) (Not for credit) If Lois can survive a force of up to 15 kN without being killed, will she survive?

Expert Solution

Step 1-part (a)

using $v^{2} - u^{2} = - 2 g S$

(negative sign because g is in negative direction)

S= -(385-9.1)=-375.90 m (negative because moving downwards).

hence

$\begin{array}{rcl} v^{2} - 0^{2} & = & - 2 \times 9.8 \times (- 375.90) \\ = & 7367.64 \\ v & = & - \sqrt{7367.64} = - 85.83 \end{array}$

we take negative sign because it is moving downwards.

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