A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot ., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched (a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot ., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched (a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
A large number of seeds are observed, and their initial launch angles are recorded. The range of projection angles is found to be −51° to 75°, with a mean of 31°. Approximately 65% of the seeds arc launched between 6° and 56°. (See W. J. Garrison et al, “Ballistic seed projection in two herbaceous species,” Amer. J. Bot., Sept. 2000, 87:9, 1257–64.) Which of these hypotheses is best supported by the data? Seeds are preferentially launched
(a) at angles that maximize the height they travel above the plant; (b) at angles below the horizontal in order to drive the seeds into the ground with more force; (c) at angles that maximize the horizontal distance the seeds travel from the plant; (d) at angles that minimize the time the seeds spend exposed to the air.
4.4 A man is dragging a trunk up the
loading ramp of a mover's truck. The
ramp has a slope angle of 20.0°, and
the man pulls upward with a force F
whose direction makes an angle of 30.0°
75.0°
with the ramp (Fig. E4.4). (a) How large a force F is necessary for the
component Fx parallel to the ramp to be 90.0 N? (b) How large will the
component Fy perpendicular to the ramp be then?
Figure E4.4
30.0
20.0°
1.
*
A projectile is shot from a launcher at an angle e, with an initial velocity
magnitude v., from a point even with a tabletop. The projectile lands on the tabletop
a horizontal distance R (the "range") away from where it left the launcher. Set this
up as a formal problem, and solve for vo (i.e., determine an expression for Vo in
terms of only R, 0., and g). Your final equation will be called Equation 1.
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