The force exerted by the wind on a sailboat is approximately perpendicular 10 the sail and proportional to the component of the wind velocity perpendicular to the sail. For the 800-kg sailboat shown in Figure P4.58. the force exerted by the wind on the sailboat is F soil = ( 550 N m/s ) v wind Water exerts a force along the keel (bottom) of the boat that prevents it from moving sideways, as shown in the figure Once the boat starts moving forward, water also exerts a drag force backwards on the boat, opposing the forward motion. If a 17-knot wind (1 knot = 0.514 m/s) is blowing to the east, what is the initial acceleration of the sailboat? Figure P 4.58
The force exerted by the wind on a sailboat is approximately perpendicular 10 the sail and proportional to the component of the wind velocity perpendicular to the sail. For the 800-kg sailboat shown in Figure P4.58. the force exerted by the wind on the sailboat is F soil = ( 550 N m/s ) v wind Water exerts a force along the keel (bottom) of the boat that prevents it from moving sideways, as shown in the figure Once the boat starts moving forward, water also exerts a drag force backwards on the boat, opposing the forward motion. If a 17-knot wind (1 knot = 0.514 m/s) is blowing to the east, what is the initial acceleration of the sailboat? Figure P 4.58
Solution Summary: The author calculates the force exerted by the wind component on the sailboat.
The force exerted by the wind on a sailboat is approximately perpendicular 10 the sail and proportional to the component of the wind velocity perpendicular to the sail. For the 800-kg sailboat shown in Figure P4.58. the force exerted by the wind on the sailboat is
F
soil
=
(
550
N
m/s
)
v
wind
Water exerts a force along the keel (bottom) of the boat that prevents it from moving sideways, as shown in the figure Once the boat starts moving forward, water also exerts a drag force backwards on the boat, opposing the forward motion. If a 17-knot wind (1 knot = 0.514 m/s) is blowing to the east, what is the initial acceleration of the sailboat?
A 137 kg boat is trying to go, from the
origin (as shown in the figure), straight
across the river at a speed 0.7198 m/s in
the y-direction. The current in the river,
however, flows to the right and apply a net
force of 100 N (x-direction).
a) What is the position vector of the boat
after 2 seconds.
b) What is the velocity of the boat after 3
seconds.
Vboat,y
Initial position of the boat is:
Ij =
+
At a pool, a 3.26 kg life ring is thrown by a lifeguard to a struggling swimmer. The
lifeguard stand is 1.75 m above the water. If air resistance is negligible and the life ring is launch
with a speed of 8.23 m/s at the angle indicated in the figure:
a) Find the height of the life ring and the net force on the life ring at point P.
b) Find how far the life ring lands from the base of the stand.
c) With what velocity did the life ring strike the water at point Q?
30°
A rocket sled decelerates at a rate of a =197 m/s^2. Its passenger has a mass of 73.5 kg.
a. Calculate the horizontal component of the force the seat exerts against his body.
b. Compare his weight by using a ratio. The horizontal component of the forice is how many times his weight.
Calculate the magniture and direction of the total force the seat exerts against his body.
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