A 24.0-kg crate, initially at rest, slides down a ramp 4.0 m long and inclined at an angle of 20° with the horizontal. If there is no friction between ramp surface and crate, what is the kinetic energy of the crate at the bottom of the ramp? (g = 9.8 m/s2)
a. 880 J
b. 940 J
c. 644 J
d. 322 J
e. 161 J
d
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The velocity of a boat with respect to the water is 4.0 m/s at an angle of 30.0 degrees NORTH of WEST. The velocity of the water with respect to the ground is 8.0 m/s at an angle of 45 degrees SOUTH of EAST. What is the velocity of the boat with respect to the ground?
A. 4.7 m/s at 32 degrees SOUTH of WEST B. 4.3 m/s at 59 degrees SOUTH of EAST C. 8.3 m/s at 22 degrees SOUTH of WEST D. 9.8 m/s at 330 degrees SOUTH of EAST E. 8.3 m/s at 25 degrees SOUTH of WEST
Only two forces act on a 3.0-kg mass. One of the forces is 9.0 N east, and the other is 8.0 N in the direction of 62° north of west. What is the magnitude of the acceleration of the mass?
A. 2.0 m/s2 B. 2.4 m/s2 C. 3.3 m/s2 D. 2.9 m/s2 E. 5.7 m/s2
Exhibit 18-1The figure below shows wave crests after a stone is thrown into a pond.
Use this exhibit to answer the following question(s).
Refer to Exhibit 18-1. The phase difference in radians between points A and C is
A.
B.
.C.
D.
.E.
Ocean tides are waves that have a period of 12 hours, an amplitude (in some places) of 1.50 m, and a speed of 750 km/hr. What is the distance between adjacent crests of these waves?
A) 9000 m B) 32,400 m C) 2500 m D) 32,400 km E) 9000 km