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Physics Homework Question?

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Chris jumps off a bridge with a bungee cord (a heavy stretchable cord) tied around his ankle, (Figure 1) . He falls for 15 m before the bungee cord begins to stretch. Chris's mass is 78 kg and we assume the cord obeys Hooke's law, F=−kx, with 56 N/m .

If we neglect air resistance, estimate what distance d below the bridge Chris's foot will be before coming to a stop. Ignore the mass of the cord (not realistic, however) and treat Chris as a particle.
asked Oct 2, 2015 in PHYSICS by anonymous

1 Answer

0 votes

Step 1:

The mass of the Chris is image.

Chris falls for image before the bungee cord begins to stretch.

The cord obeys Hookes law, image.

Hookes constant is image.

Draw the figure for the situation:

.

Step 2:

The potential energy of the person is image.

The potential energy of the person after the bungee cord begins to stretch is image.

Total potential energy below the bridge is image.

image

image

image

image

image

image

image

image

image.

The distance below the bridge and Chris foot before coming to a stop is image.

The distance below the bridge and Chris foot before coming to a stop is image.

Solution:

The distance below the bridge and Chris foot before coming to a stop is image.

answered Oct 2, 2015 by Sammi Mentor
edited Oct 2, 2015 by Sammi

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