Question

46. In the airport, your book bag travels at constant speed on a baggage carousel. The figure below shows the path traveled by your bag, as viewed looking down on the carousel from above. Your bag's trip on the carousel includes two 25.0 ft long straight portions, one between points "3" and "4", and another equally long straight portion between points "6" and "" I takes your bag 20.0 seconds to travel along each of these straight portions of the carousel. The semi-circular portions at the ends of the carousel have radii R,-5.0 fi and R2 6.0 ft, as shown in the figure +X 5 R11 R2 3 25.0 ft A. For one complete trip around the carousel, your book bag's average speed is a. 2.50 ft/s b. 0.00 ft/s c. 1.25 m/s d. 0.800 ft/s e. 1.25 ft/s B. How much time does your bag take to traverse the larger (R2 6 fi) semi-circular portion of the carousel? a. 7.54 sec b. 30.2 se C. 1.25 sec. d. 15.1 sec. e. 90.5 sec. C. For the time interval during which your book bag travels along the semi-circle from point 1 to point 3, your book bag's displacement is equal to a (100j)b.100f 157) d 10f 12.0m c. 15.7 i e. -12.0ft D. The scalar x-component of the book bag's velocity is equal to zero at the instant(s) when it is passing through a. points 4" and "6" d. only point "6". b. only point "2". e. The scalar x-component of the book bag's velocity is never equal to zero points "2" and "5" C. E. From the instant when it passes through point "5" until the instant it passes back through point "2" your book bag undergoes a change in velocity which is directed a. in the negative x direction. b. in the positive x direction. c. in the positive y direction. d in the negative y direction. e. straight down towards the Earth's center

Answer 1

A. As the velocity is constant we can find velocity for any section of the carousel

From 3 to 4 the bag goes 25 ft in 20 s, therefore the speed is

25/20 = 1.25 ft/s

Option e)

B. Total distance to travel in the semicircular position = $\pi R_2 = 6\pi ft$

Speed = 1.25 ft/s. Therefore time taken

= $\frac{6\pi}{1.25} = 15.08 sec \approx 15.1 sec$

Option d)

C. If we draw a line from point 1 to 3 It will make a diameter of the semi circle in the negative y direction. Diameter of the semi circle = 2*R₁ = 10 ft

Therefore displacement in negative y direction

=

(10ft)j

Option b)

D. The x component of the velocity will be zero when the velocity is pointing in parallel to y direction. This happens at position 2 and 5

Option c)

E. At pt 5 the velocity is pointing to the +ve y direction, whereas at pt 2 the velocity is pointing to the -ve y direction.

Therefore change is happening in the negative y direction.

Option d)