A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 20 m/s north, and the total acceleration of the car is 2.5 m/s2 37 south of west. Which of the following is correct?
a. R = 0.40 km, and the car's speed is decreasing.
b. R = 0.20 km, and the car's speed is decreasing.
c. R = 0.20 km, and the car's speed is increasing.
d. R = 0.16 km, and the car's speed is increasing.
e. R = 0.16 km, and the car's speed is decreasing.
[Ques. 2] A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s2, what is the magnitude of the total acceleration of the particle?
a. 7.5 m/s2
b. 6.0 m/s2
c. 5.4 m/s2
d. 6.7 m/s2
e. 4.5 m/s2
[Ques. 3] A space station of diameter 80 m is turning about its axis at a constant rate. If the acceleration of the outer rim of the station is 2.5 m/s2, what is the period of revolution of the space station?
a. 22 s
b. 19 s
c. 25 s
d. 28 s
e. 40 s
[Ques. 4] A carnival Ferris wheel has a 15-m radius and completes five turns about its horizontal axis every minute. What is the acceleration of a passenger at his lowest point during the ride?
a. 5.7 m/s2 downward
b. 4.1 m/s2 upward
c. 14 m/s2 downward
d. 4.1 m/s2 downward
e. 19 m/s2 downward
[Ques. 5] At the lowest point in a vertical dive (radius = 0.58 km), an airplane has a speed of 300 km/h which is not changing. Determine the magnitude of the acceleration of the pilot at this lowest point.
a. 26 m/s2
b. 21 m/s2
c. 16 m/s2
d. 12 m/s2
e. 8.8 m/s2
[Ques. 6] A race car moving with a constant speed of 60 m/s completes one lap around a circular track in 50 s. What is the magnitude of the acceleration of the race car?
a. 8.8 m/s2
b. 7.5 m/s2
c. 9.4 m/s2
d. 6.3 m/s2
e. 5.3 m/s2
[Ques. 7] A particle moves at a constant speed in a circular path with a radius of 2.06 cm. If the particle makes four revolutions each second, what is the magnitude of its acceleration?
a. 20 m/s2
b. 18 m/s2
c. 13 m/s2
d. 15 m/s2
e. 24 m/s2
[Ques. 8] An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time?
a. 2.2 m/s2
b. 2.7 m/s2
c. 3.3 m/s2
d. 3.8 m/s2
e. 4.4 m/s2
[Ques. 9] An airplane flies horizontally with a speed of 300 m/s at an altitude of 400 m. Assume that the ground is level. At what horizontal distance from a target must the pilot release a bomb so as to hit the target?
a. 3.0 km
b. 2.4 km
c. 3.3 km
d. 2.7 km
e. 1.7 km
[Ques. 10] A rock is thrown from the edge of the top of a 100-ft tall building at some unknown angle above the horizontal. The rock strikes the ground a horizontal distance of 160 ft from the base of the building 5.0 s after being thrown. Assume that the ground is level and that the side of the building is vertical. Determine the speed with which the rock was thrown.
a. 72 ft/s
b. 77 ft/s
c. 68 ft/s
d. 82 ft/s
e. 87 ft/s
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