(D) by keeping the radius fixed and decreasing the period by a factor of 4 E) by

Question

(D) by keeping the radius fixed and decreasing the period by a factor of 4 E) by keeping the speed fixed and decreasing the radius by a factor of 4 5. A particle moves in a circular path of radius a m at a constant speed of4.0m/s, What is the time (in seconds) required for one revolution? (A) /2 14 4- (E) 2/ tan Which force is responsible for holding a car in a frictionless, banked curve? (A) the car's weight (B) the horizontal component of the cars weight (C) the reaction force to the car's weight 6. the vertical component of the normal force the horizontal component of the normal force 7. As shown, an object on a string moves horizontally in a circle at a constant speed such that one revolution takes 20.0 s. If the arc length from W to X is 25.0 m, what is the magnitude of the centripetal (A) 0.3 m/s (B) 1.0 m/s (C) 1.6 m/s (D) 4.0 m/s (E) 6.0 m/s /.a5 C: 100m

Explanation / Answer

5) time taken = distance/speed = 2pi * pi/4

time taken = pi^2/2

the time taken is pi^2/2

6)

for a car in a banked road , as the car is going in a circle in horizontal plane , the normal force from the banked road provides a component along horizontal direction , which provides centripetal force

the correct option is E)

7)

let the radius is r

25 = 2pi * r/4

r = 15.9 m

as w = 2pi/T

where T is the time period

centripetal acceleration = (2pi/T)^2 * r

centripetal acceleration = (2pi/20)^2 * 15.9

centripetal acceleration = 1.6 m/s^2

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