BIO The Flying Leap of a Flea. High-speed motion pictures (3500 frames/second) of a jumping 210- μ g flea yielded the data to plot the flea’s acceleration as a function of time, as shown in Fig. P5.78. (See “The Flying Leap of the Flea,” by M. Rothschild et al., Scientific American, November 1973.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Using the graph, (a) find the initial net external force on the flea. How does it compare to the flea’s weight? (b) Find the maximum net external force on this jumping flea. When does this maximum force occur? (c) Use the graph to find the flea’s maximum speed.
BIO The Flying Leap of a Flea. High-speed motion pictures (3500 frames/second) of a jumping 210- μ g flea yielded the data to plot the flea’s acceleration as a function of time, as shown in Fig. P5.78. (See “The Flying Leap of the Flea,” by M. Rothschild et al., Scientific American, November 1973.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Using the graph, (a) find the initial net external force on the flea. How does it compare to the flea’s weight? (b) Find the maximum net external force on this jumping flea. When does this maximum force occur? (c) Use the graph to find the flea’s maximum speed.
BIO The Flying Leap of a Flea. High-speed motion pictures (3500 frames/second) of a jumping 210-μg flea yielded the data to plot the flea’s acceleration as a function of time, as shown in Fig. P5.78. (See “The Flying Leap of the Flea,” by M. Rothschild et al., Scientific American, November 1973.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Using the graph, (a) find the initial net external force on the flea. How does it compare to the flea’s weight? (b) Find the maximum net external force on this jumping flea. When does this maximum force occur? (c) Use the graph to find the flea’s maximum speed.
HW4 - MTH 114, section 1, Sprin X +
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Q 20
A woman driving a car 16 ft long is passing a truck 28 ft long. The truck is traveling at 50 mi/h. How fast must the woman drive her car so that she can pass the truck completely in 6 s, from the position shown in figure (a) to the position
shown in figure (b)? [Hint: Use feet and seconds instead of miles and hours.]
mi/h
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by 6 mi/h to drive the 132 mi from Barrington to Collins. If the second leg of his trip took 2 min more time than the first leg,
High-speed motion pictures (3500 frames/second) of a
jumping 230 μg flea yielded the data to plot the flea's
acceleration as a function of time as shown in the figure (
Figure 1). (See "The Flying Leap of the Flea," by M.
Rothschild et al. in the November 1973 Scientific
American.) This flea was about 2 mm long and jumped at
a nearly vertical takeoff angle. Use the measurements
shown on the graph to answer the questions.
Figure
alg
150
100
50
0
0
0.5
1.0
1.5
Part E
Use the graph to find the flea's maximum speed.
Express your answer in meters per second to two significant figures.
IVE] ΑΣΦ 3
v=1.6
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m/s
When we estimate distances from velocity data, it is sometimes necessary to use times
t0, t1, t2, t3, . . .
that are not equally spaced. We can still estimate distances using the time periods
Δti = ti − ti − 1.
For example, a space shuttle was launched on a mission, the purpose of which was to install a new motor in a satellite. The table provided gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height, h, above Earth's surface of the space shuttle, 62 seconds after liftoff. (Give the upper approximation available from the data.)h = ft
Event
Time (s)
Velocity (ft/s)
Launch
0
0
Begin roll maneuver
10
180
End roll maneuver
15
319
Throttle to 89%
20
442
Throttle to 67%
32
742
Throttle to 104%
59
1217
Maximum dynamic pressure
62
1430
Solid rocket booster separation
125
4052
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