Q1.11 A circular racetrack has a radius of 500 m. What is the displacement of a...
A runner is training for an upcoming marathon by running around a 112-m-diameter circular track at constant speed. Let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. The runner starts at (x, y) = (56 m, 0 m) and runs 2.5 times around the track in a clockwise direction. What is the magnitude of his displacement vector? ............. Whar is the direction of his displacement vector? West...
You want to design a circular racetrack of radius r such that cars of mass m can go around the track at speed u without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle 9 of the track, measured from the horizontal. Suppose the racecars actually round the track at a speed W> u. What additional radial force is required to keep the cars...
1. A figure skater glides along a circular path of radius
5.28m.
(a) If she coasts around one half of the circle, find the
magnitude of the displacement vector. (SI unit: m)
(b) If she coasts around one half of the circle, find what
distance she skated. (SI unit: m)
(c) What is the magnitude of the displacement if she skates all
the way around the circle? (SI unit:m)
2. A novice golfer on the green takes three strokes to...
A circular racetrack has inside and outside radii of 125 m and 185 m and the outside is 15 m higher than the inside. How fast can a racecar travel safely at the inside and outside of the track? The answers on the worksheet are given as [30 m/s] and [37 m/s] but I ended up with something quite different. Any help would be appreciated!
A bug travels directly north for 4.0 m, followed by 2.0 m at 30o South of East, and finally 3.0 m directly west. Sketch these three vector displacements. Break each vector into their components and find the total displacement. Bonus: What is the magnitude and direction of the total displacement?
One afternoon, a couple hikes 70.0 % of the way around a circular lake, the radius of which is 2.80 km . They start at the west side of the lake and head due south to begin their hike. If the couple makes the trip in 3.5 hours , what is their average speed for the trip?(A)If their position is measured from the center of the lake, then what was their starting position vector? (B)If their position is measured from...
Displacement vectors A, B, and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 23.4° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 35.9° north of west. Find the magnitudes of vector B and vector C. .
Displacement vectors
A
B,
and
C
add up to a total of zero. Vector
A
has a magnitude of 1550 m and a direction of 22.9° north of
east. Vector
B
has a direction of 41.0° east of south, and vector
C
has a direction of 32.3° north of west. Find the magnitudes of
vector
B
and vector
C.
Displacement vectors A,B, and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 22.4° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 32.0° north of west. Find the magnitudes (in m) of vector B and vector C.
Please explain
afternoon, a coupte walks three-fourths of the way around a circular lake, the radius of which is 2.70 km. They start ce.they travel? (b) What is the at the west side of the lake and head due south to begin with. (a) Whet is th magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number (b) Number (c) Number Units Units Units