15. A copy-cat daredevil tries to reenact Evel Knievel's 1974 attempt to jump the Snake River Canyon in a rocket powered motorcycle. The canyon is 400 m wide with the opposite rim of the canyon at the same height. The height of the launch: at one rim of the canyon is 8.00 m above ramp the rim and the angle it makes at the end of the ramp is 45° with respect to the horizontal. Ignoring air resistance and wind (not wise in a real attempt): a. What is the minimum launch speed required for the daredevil to make it across the canyon? ELF b. Famous after his successful first jump, but still recovering from the injuries sustained in the crash caused by a strong bounce upon landing, the daredevil decides to jump again but is going to add a landing ramp with a slope to match the angle of his velocity at landing. If he uses a landing ramp with a height of 3.00 m, what is the new launch speed required for a successful jump? 16. A bullet is fired horizontally from the top of a vertical cliff that is 20 m above the surface of a lake as shown in the figure at right. The top of the vertical face of a dam is located 100 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25.0 m below the top of the dam. 45.0 to 20 m Cliff 8.00 m 400. m- 100 m Lake Dam 25 m Plain a. What must be the minimum speed of the bullet as it leaves the cliff so that it will reach the plain below without striking the dam? b. How far from the foot of the dam does the bullet hit the plain?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...
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Kinematic Equo**
15. A copy-cat daredevil tries to reenact Evel
Knievel's 1974 attempt to jump the Snake
River Canyon in a rocket powered
motorcycle. The canyon is 400 m wide
with the opposite rim of the canyon at the
same height. The height of the launch ramp
at one rim of the canyon is 8.00 m above
the rim and the angle it makes at the end of the ramp is 45° with respect to the horizontal. Ignoring
air resistance and wind (not wise in a real attempt):
What is the minimum launch speed required for the daredevil to make it across the canyon? ELF
b. Famous after his successful first jump, but still recovering from the injuries sustained in
the crash caused by a strong bounce upon landing, the daredevil decides to jump again but
is going to add a landing ramp with a slope to match the angle of his velocity at landing. If
he uses a landing ramp with a height of 3.00 m, what is the new launch speed required for
a successful jump?
16. A bullet is fired horizontally from the top of a vertical
cliff that is 20 m above the surface of a lake as shown
in the figure at right. The top of the vertical face of a
dam is located 100 m from the foot of the cliff, with
the top of the dam level with the surface of the water
in the lake. A level plain is 25.0 m below the top of
the dam.
a.
45.0⁰
Launch height (h) in m
2.00
Vo
6.00
9.00
12.00
20 m Cliff
8.00 m
400. m-
100 m
Horizontal range (R) in m
10.4
17.1
21.3
25.8
Lake
3
Dam
What must be the minimum speed of the bullet as it leaves the cliff so that it will reach the
plain below without striking the dam?
b. How far from the foot of the dam does the bullet hit the plain?
25 m
17. ** You have constructed a hair-spray powered potato gun and want to find the muzzle speed vo of
the potatoes as the leave the gun barrel. Using a launch tower that has several launching height,
you fire the potato gun horizontally with the same amount of hair-spray for each attempt. You brave
friend down below measures the distance the potatoes travel from the base of the tower after being
table:
launched from the various heights. The results of all your hard work is summarized in the following
Plain
Each of the values of h and R have some measurements error (the muzzle speed is not always exac
was no wind that day:
the same and not always exactly horizontal when fired). Ignoring air resistance and noting that there
Use ELF
X = R
Determine an expression for R² in terms of h and then graph R² vs h.
a.
b. Use the slope of the trendline line from your graph in part (a) to calculate the average value
of Vo.
y=mx
Transcribed Image Text:Kinematic Equo** 15. A copy-cat daredevil tries to reenact Evel Knievel's 1974 attempt to jump the Snake River Canyon in a rocket powered motorcycle. The canyon is 400 m wide with the opposite rim of the canyon at the same height. The height of the launch ramp at one rim of the canyon is 8.00 m above the rim and the angle it makes at the end of the ramp is 45° with respect to the horizontal. Ignoring air resistance and wind (not wise in a real attempt): What is the minimum launch speed required for the daredevil to make it across the canyon? ELF b. Famous after his successful first jump, but still recovering from the injuries sustained in the crash caused by a strong bounce upon landing, the daredevil decides to jump again but is going to add a landing ramp with a slope to match the angle of his velocity at landing. If he uses a landing ramp with a height of 3.00 m, what is the new launch speed required for a successful jump? 16. A bullet is fired horizontally from the top of a vertical cliff that is 20 m above the surface of a lake as shown in the figure at right. The top of the vertical face of a dam is located 100 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is 25.0 m below the top of the dam. a. 45.0⁰ Launch height (h) in m 2.00 Vo 6.00 9.00 12.00 20 m Cliff 8.00 m 400. m- 100 m Horizontal range (R) in m 10.4 17.1 21.3 25.8 Lake 3 Dam What must be the minimum speed of the bullet as it leaves the cliff so that it will reach the plain below without striking the dam? b. How far from the foot of the dam does the bullet hit the plain? 25 m 17. ** You have constructed a hair-spray powered potato gun and want to find the muzzle speed vo of the potatoes as the leave the gun barrel. Using a launch tower that has several launching height, you fire the potato gun horizontally with the same amount of hair-spray for each attempt. You brave friend down below measures the distance the potatoes travel from the base of the tower after being table: launched from the various heights. The results of all your hard work is summarized in the following Plain Each of the values of h and R have some measurements error (the muzzle speed is not always exac was no wind that day: the same and not always exactly horizontal when fired). Ignoring air resistance and noting that there Use ELF X = R Determine an expression for R² in terms of h and then graph R² vs h. a. b. Use the slope of the trendline line from your graph in part (a) to calculate the average value of Vo. y=mx
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