Ski jumping in Vancouver The 2010 Olympic ski jumping competition was held at Whistler Mountain near Vancouver During a jump, a skier starts near the top of the in-run, the part down which the skier glides at increasing speed before the jump. The Whistler in-run is 116 m long and for the first part is tilted down at about 35 ° below the horizontal There is then a curve that transitions into a takeoff ramp, which is tilted 11 ° below the horizontal. The skier flies off this ramp at high speed body tilted forward and skis separated ( Figure 4.15 ). This position exposes a large surface area to the air, which creates lift, extends the time of the jump, and allows the jumper to travel farther In addition, the skier pushes off the exit ramp of the in-run to get a vertical component of velocity when leaving the ramp. The skier lands 125 m or more from the end of the in-run. The landing surface has a complex shape and is tilted down at about 35 ° below the horizontal. The skier moves surprisingly close (2 to 6 m) above the snowy surface for most of the jump. The coefficient of kinetic friction between the skis and the snow on the in-run is about 0.05 ± 0.02 , and skiers’ masses are normally small—about 60 kg. We can make some rough estimates about an idealized ski jump with an average in-run inclination of ( 35 ° + 11 ° ) / 2 = 23 ° . Which numbers below are closest to the magnitudes of the kinetic friction force and the component of the gravitational force parallel to the idealized inclined in-run? a. 30 N, 540 N b. 27 N, 540 N c. 12 N, 540 N d. 30 N, 230 N e. 27 N, 230 N f. 12 N, 230 N
Ski jumping in Vancouver The 2010 Olympic ski jumping competition was held at Whistler Mountain near Vancouver During a jump, a skier starts near the top of the in-run, the part down which the skier glides at increasing speed before the jump. The Whistler in-run is 116 m long and for the first part is tilted down at about 35 ° below the horizontal There is then a curve that transitions into a takeoff ramp, which is tilted 11 ° below the horizontal. The skier flies off this ramp at high speed body tilted forward and skis separated ( Figure 4.15 ). This position exposes a large surface area to the air, which creates lift, extends the time of the jump, and allows the jumper to travel farther In addition, the skier pushes off the exit ramp of the in-run to get a vertical component of velocity when leaving the ramp. The skier lands 125 m or more from the end of the in-run. The landing surface has a complex shape and is tilted down at about 35 ° below the horizontal. The skier moves surprisingly close (2 to 6 m) above the snowy surface for most of the jump. The coefficient of kinetic friction between the skis and the snow on the in-run is about 0.05 ± 0.02 , and skiers’ masses are normally small—about 60 kg. We can make some rough estimates about an idealized ski jump with an average in-run inclination of ( 35 ° + 11 ° ) / 2 = 23 ° . Which numbers below are closest to the magnitudes of the kinetic friction force and the component of the gravitational force parallel to the idealized inclined in-run? a. 30 N, 540 N b. 27 N, 540 N c. 12 N, 540 N d. 30 N, 230 N e. 27 N, 230 N f. 12 N, 230 N
Ski jumping in Vancouver The 2010 Olympic ski jumping competition was held at Whistler Mountain near Vancouver During a jump, a skier starts near the top of the in-run, the part down which the skier glides at increasing speed before the jump. The Whistler in-run is 116 m long and for the first part is tilted down at about
35
°
below the horizontal There is then a curve that transitions into a takeoff ramp, which is tilted
11
°
below the horizontal. The skier flies off this ramp at high speed body tilted forward and skis separated (Figure 4.15). This position exposes a large surface area to the air, which creates lift, extends the time of the jump, and allows the jumper to travel farther In addition, the skier pushes off the exit ramp of the in-run to get a vertical component of velocity when leaving the ramp. The skier lands 125 m or more from the end of the in-run. The landing surface has a complex shape and is tilted down at about
35
°
below the horizontal. The skier moves surprisingly close (2 to 6 m) above the snowy surface for most of the jump. The coefficient of kinetic friction between the skis and the snow on the in-run is about
0.05
±
0.02
, and skiers’ masses are normally small—about 60 kg. We can make some rough estimates about an idealized ski jump with an average in-run inclination of
(
35
°
+
11
°
)
/
2
=
23
°
.
Which numbers below are closest to the magnitudes of the kinetic friction force and the component of the gravitational force parallel to the idealized inclined in-run?
6. Each of the questions below refers to a projectile that is launched from the top of a tower, 45.0 m
above the ground, at a speed of 12.5 m/s at an angle of 40.0° up from horizontal.
a. Draw a diagram of the situation, labeling all of the known quantities. Also, use a dashed line
to sketch in the path of the projectile from its launch until it hits the ground.
b. Find the x and y components of its initial velocity.
c. How long does it take to reach its maximum height?
d. How high is its maximum height above the ground?
e. How long is it in the air before it hits the ground?
f. How far away from the base of the tower is it when it hits the ground?
g. Find the x and y components of its velocity right before it hits the ground.
h. Find its speed right before it hits the ground.
Current Attempt in Progress
Flying Circus of Physics
A skilled skier knows to jump upward before reaching a downward slope. Consider a jump in
which the launch speed is vo = 13.5 m/s, the launch angle is 0o = 9.7", the initial course is
approximately flat, and the steeper track has a slope of 12.4°. Figure (a) shows a prejump that
allows the skier to land on the top portion of the steeper track. Figure (b) shows a jump at the edge
of the steeper track. In Figure (a), the skier lands at approximately the launch level. (a) In the
landing, what is the angle between the skier's path and the slope? In Figure (b), (b) how far below
the launch level does the skier land and (c) what is p? (The greater fall and greater can result in
loss of control in the landing.)
(a) Number i 2.7
(b) Number
(c) Number
i
i
(a)
Units
Units
Units
(b)
° (degrees)
<
<
<
*Draw a simple diagram representation for the solution.In a game war, one team sets base on a cliff 15m high and 60m away from the opponent’s base. At what velocity must the attack be launched so that the lower base will be hit? The initial launch is at 20 degrees below the horizontal?
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