A car approaches a slippery 75.0-m radius curve, banked at 25.0 degree. The maxi

Question

A car approaches a slippery 75.0-m radius curve, banked at 25.0 degree. The maximum speed at which the car can safely negotiate this curve is closest to: (A) 8.02 m/s (B) 11.4 m/s (C) 14.0 m/s (D) 16.4 m/s (E) 18.5 m/s (F) 20.6 m/s A satellite in orbit around the Earth has a period of 2.00 hours. An identical satellite is placed in an orbit of a 4.00 times larger radius. The period of the second satellite is closest to: (A) 5.7 h (B) 10.4 h (C) 16.0 h (D) 22.4 h (E) 29.4 h (F) 37.0 h A 3.0-kg toy motorcycle is moving on the inside of vertical circular track of radius 1.0 m. It arrives at the top of the track with a speed of 5.0 m/s. The force exerted by the track on the motorcycle is closest to: A) 91 N (B) 15 N (C) 30 N (D) 46 N (E) 61 N (F) 76 N During the moving of a sofa over 1.50 m on a horizontal surface by a 500-N force that is directed 20.0 degree above from horizontal, the work expended is closest to: (A) 493 J (B) 564 J (C) 634 J (D) 705 J (E) 775 J (F) 846 J: If 4.00 J of work is expended to push a book over 35.0 cm on a horizontal surface, against friction and at constant speed, the friction force is closest to: (A) 5.71 N (B) 8.57 N (C) 11.4 N (D) 14.3 N (E) 17.1 N (F) 20.0 N If 70.0-J work is expended to push a 3.00-kg block from rest along a straight path on a frictionless surface, its final speed will be closest to: (A) 3.74 m/s (B) 4.47 m/s (C) 5.05 m/s (D) 5.92 m/s (E) 6.83 m/s (F) 8.37 m/s Starting from rest, a skier goes down a 15.0 degree slope for 95.0 m. The frictional forces are negligible. At the bottom of the slope, the speed of the skier is closest to: (A) 18.0 m/s (B) 22.0 m/s (C) 25.2 m/s (D) 28.1 m/s (E) 30.5 m/s (F) 32.7 m/s A roller coaster car starts from rest at the top of an 18.0-m high hill. The car travels to the bottom of the hill and continues up the next, 6.00-m high hill. If friction is negligible, at the top of this second hill the car is moving a speed closest to: (A) 6.28 m/s (B)8.85 m/s (c) 10.8 m/s (D) 12.5 m/s (E) 14.0 m/s (F) 15.3 m/s

Explanation / Answer

Answer to Question number 8 is "E"

That is 18.5 m/s

The equation used for above question is

v=rgtan

=75 x 9.81 x tan 25

= 18.52 m/s

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