Flag Mechanics> A world's land speed record was set by Co...
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A world's land speed record was set by Colonel John P. Stapp when, on March 19, 1954, he rode a rocket-propelled sled that moved down a track at 1020 km/h. He and the sled were brought to a stop in 1.4 s; see Fig. What acceleration did he experience? Express your answer in terms of g (= 9.8 m/s), the acceleration due to gravity. (Note that his body acts as an accelerometer, not a speedometer.)
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

Amit Saxena , 10 Years ago
Grade upto college level
anser 1 Answers
Navjyot Kalra
Given:

Initial speed of the sled, v0 = 1020 km/h.
Final speed of sled, v = 0 km/h.
Time taken to bring the sled to rest, t = 1.4 s.
Acceleration due to gravity, g = 9.8 m/s2.
Let us assume that the acceleration experienced by the sled and the colonel is a and can be defined as:


232-1255_8.PNG
Rounding off to two significant figures, we have
a = -21g
The negative sign shows that the acceleration on the sled and on the colonel is in a direction opposite to the direction of initial velocity.
Therefore the acceleration experienced by the colonel and the rocket sled is 21g.
Last Activity: 10 Years ago
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