Shown below is a waterslide constructed in the late 1800's. This slide was unique for its time due to the fact that a large number of small wheels along its length made friction negligible. Riders rode a small sled down the chute which ended with a horizontal section that caused the sled and rider to skim across the water much like a flat pebble. The chute was 9.76 m high at the top and 54.3 m long. Consider a rider and sled with a combined mass of 81.0 kg. They are pushed off the top of the slide from point A with a speed of 2.90 m/s, and they skim horizontally across the water a distance of 50 m before coming to rest. 9.76 m Engraving from Scientific American, July 1888 A (a) 20.0 m/ -54.3 m- 50.0 m (b) (a) Find the speed (in m/s) of the sled and rider at point C. 14.14 m/s (b) Model the force of water friction as a constant retarding force acting on a particle. Find the magnitude (in N) of the friction force the water exerts on the sled. 162.2 N (c) Find the magnitude (in N) of the force the chute exerts on the sled at point B. A convenient coordinate system will have its coordinates parallel and perpendicular to the chute. Draw a figure showing this coordinate system, all forces acting on the sled at the point of interest, and the components of these forces along the chosen coordinate system. N (d) At point C the chute is horizontal but curving in the vertical plane. Assume its radius of curvature is 20.0 m. Find the force (in N) the chute exerts on the sled at point C. magnitude 1585.4 direction up N
Shown below is a waterslide constructed in the late 1800's. This slide was unique for its time due to the fact that a large number of small wheels along its length made friction negligible. Riders rode a small sled down the chute which ended with a horizontal section that caused the sled and rider to skim across the water much like a flat pebble. The chute was 9.76 m high at the top and 54.3 m long. Consider a rider and sled with a combined mass of 81.0 kg. They are pushed off the top of the slide from point A with a speed of 2.90 m/s, and they skim horizontally across the water a distance of 50 m before coming to rest. 9.76 m Engraving from Scientific American, July 1888 A (a) 20.0 m/ -54.3 m- 50.0 m (b) (a) Find the speed (in m/s) of the sled and rider at point C. 14.14 m/s (b) Model the force of water friction as a constant retarding force acting on a particle. Find the magnitude (in N) of the friction force the water exerts on the sled. 162.2 N (c) Find the magnitude (in N) of the force the chute exerts on the sled at point B. A convenient coordinate system will have its coordinates parallel and perpendicular to the chute. Draw a figure showing this coordinate system, all forces acting on the sled at the point of interest, and the components of these forces along the chosen coordinate system. N (d) At point C the chute is horizontal but curving in the vertical plane. Assume its radius of curvature is 20.0 m. Find the force (in N) the chute exerts on the sled at point C. magnitude 1585.4 direction up N
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 77AP: Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
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Transcribed Image Text:Shown below is a waterslide constructed in the late 1800's. This slide was unique for its time due to the fact that a large number of small wheels along its
length made friction negligible. Riders rode a small sled down the chute which ended with a horizontal section that caused the sled and rider to skim across
the water much like a flat pebble. The chute was 9.76 m high at the top and 54.3 m long. Consider a rider and sled with a combined mass of 81.0 kg. They
are pushed off the top of the slide from point A with a speed of 2.90 m/s, and they skim horizontally across the water a distance of 50 m before coming to
rest.
9.76 m
Engraving from Scientific American, July 1888
A
(a)
20.0 m/
-54.3 m-
50.0 m
(b)
(a) Find the speed (in m/s) of the sled and rider at point C.
14.14
m/s
(b) Model the force of water friction as a constant retarding force acting on a particle. Find the magnitude (in N) of the friction force the water exerts on the
sled.
162.2
N
(c) Find the magnitude (in N) of the force the chute exerts on the sled at point B.
A convenient coordinate system will have its coordinates parallel and perpendicular to the chute. Draw a figure showing this coordinate system, all
forces acting on the sled at the point of interest, and the components of these forces along the chosen coordinate system. N
(d) At point C the chute is horizontal but curving in the vertical plane. Assume its radius of curvature is 20.0 m. Find the force (in N) the chute exerts on
the sled at point C.
magnitude
1585.4
direction
up
N
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