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. 2] 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. 3] 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. 4] 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. 5] 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. 6] 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. 7] 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. 8] 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. 9] 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
[Ques. 10] A rifle is aimed horizontally at the center of a large target 60 m away. The initial speed of the bullet is 240 m/s. What is the distance from the center of the target to the point where the bullet strikes the target?
a. 48 cm
b. 17 cm
c. 31 cm
d. 69 cm
e. 52 cm
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