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How much time elapses between the first and second
Chapter 4, Problem 92PP(choose chapter or problem)
Landing Rovers on Mars
When the twin Mars exploration rovers, Spirit and Opportunity, set down on the surface of the red planet in January of 2004, their method of landing was both unique and elaborate. After initial braking with retro rockets, the rovers began their long descent through the thin Martian atmosphere on a parachute until they reached an altitude of about 16.7 m. At that point a system of four air bags with six lobes each were in?ated, additional retro rocket blasts brought the craft to a virtual standstill, and the rovers detached from their parachutes. After a period of free fall to the surface, with an acceleration of \(3.72 \mathrm{~m} / \mathrm{s}^{2}\), the rovers bounced about a dozen times before coming to rest. They then de?ated their airbags, righted themselves, and began to explore the surface.
Figure 4–25 shows a rover with its surrounding cushion of air bags making its ?rst contact with the Martian surface. After a typical ?rst bounce the upward velocity of a rover would be 9.92 m/s at an angle of \(75.0^{\circ}\) above the horizontal. Assume this is the case for the problems that follow.
How much time elapses between the first and second bounces?
A. 1.38 s
B. 2.58 s
C. 5.15 s
D. 5.33 s
Questions & Answers
QUESTION:
Landing Rovers on Mars
When the twin Mars exploration rovers, Spirit and Opportunity, set down on the surface of the red planet in January of 2004, their method of landing was both unique and elaborate. After initial braking with retro rockets, the rovers began their long descent through the thin Martian atmosphere on a parachute until they reached an altitude of about 16.7 m. At that point a system of four air bags with six lobes each were in?ated, additional retro rocket blasts brought the craft to a virtual standstill, and the rovers detached from their parachutes. After a period of free fall to the surface, with an acceleration of \(3.72 \mathrm{~m} / \mathrm{s}^{2}\), the rovers bounced about a dozen times before coming to rest. They then de?ated their airbags, righted themselves, and began to explore the surface.
Figure 4–25 shows a rover with its surrounding cushion of air bags making its ?rst contact with the Martian surface. After a typical ?rst bounce the upward velocity of a rover would be 9.92 m/s at an angle of \(75.0^{\circ}\) above the horizontal. Assume this is the case for the problems that follow.
How much time elapses between the first and second bounces?
A. 1.38 s
B. 2.58 s
C. 5.15 s
D. 5.33 s
ANSWER:
Step 1 of 1
We have to find how much time has elapsed between the first and second bounces from the given choices.
The time elapse between the first and second bounces is given by the expression,
\(\begin{aligned} t & =\frac{v_{y}-v_{o} \sin \theta}{-g} \\