Tom Swift has built a rocket- and propeller-powered sled. It has a main thrusting propeller and a swivel-mounted steering rocket. During a low-power test on frictionless ice, the main propeller provides a force F, = 815 N at 0, = 15° (standard orientation, that is, north of east), and the rocket provides F, mass of the sled is 411 kg. Use the convention that the +x direction is east and the +y direction is north, so that both angles are in the standard position. (Realize that we are using the "map" version of the x-y plane, where both coordinate axes lie along the surface of the earth. There are also vertical forces (in the z direction): the weight of the sled and the normal force from the ice. These are equal and opposite, and so we will not consider them.) 729 N at 02 = 48° (north of east). The

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Tom Swift has built a rocket- and propeller-powered sled. It has a main thrusting
propeller and a swivel-mounted steering rocket. During a low-power test on frictionless
ice, the main propeller provides a force F, = 815 N at 0, =
is, north of east), and the rocket provides F, = 729 N at 02 = 48° (north of east). The
mass of the sled is 411 kg. Use the convention that the +x direction is east and the +y
direction is north, so that both angles are in the standard position.
(Realize that we are using the “map" version of the x-y plane, where both coordinate
axes lie along the surface of the earth. There are also vertical forces (in the z direction):
the weight of the sled and the normal force from the ice. These are equal and opposite,
and so we will not consider them.)
15° (standard orientation, that
Transcribed Image Text:Tom Swift has built a rocket- and propeller-powered sled. It has a main thrusting propeller and a swivel-mounted steering rocket. During a low-power test on frictionless ice, the main propeller provides a force F, = 815 N at 0, = is, north of east), and the rocket provides F, = 729 N at 02 = 48° (north of east). The mass of the sled is 411 kg. Use the convention that the +x direction is east and the +y direction is north, so that both angles are in the standard position. (Realize that we are using the “map" version of the x-y plane, where both coordinate axes lie along the surface of the earth. There are also vertical forces (in the z direction): the weight of the sled and the normal force from the ice. These are equal and opposite, and so we will not consider them.) 15° (standard orientation, that
When the rocket and propeller began working, the sled had velocity v, = 6.1 m/s
due east (that is, the angle was O90 = 0°). What are the components (v, and v,) of its
velocity at t
= 3.3 s later?
Transcribed Image Text:When the rocket and propeller began working, the sled had velocity v, = 6.1 m/s due east (that is, the angle was O90 = 0°). What are the components (v, and v,) of its velocity at t = 3.3 s later?
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