chopin

What is the inertia of a bowling ball (mass=0.5 kg) of radius 15 cm rotating at an angular speed of 10 rpm for 6 seconds

a. 0.001 kg-m^2

b. 0.002 kg-m^2

c. 0.0045 kg-m^2

d. 0.005 kg-m^2

The distance between the centers of the three circles that are mutually tangent to each other externally are 10, 12 and 14 units. The area of the largest circle is _________.

a. 72pi

b. 23pi

c. 64pi

d. 16pi

In simplest solution, if possible.

a. 8/243 b. 23/648 c. 125/3888 d. 126/3888

A pilot wants to maintain a course of 40 degrees and a ground speed of 300 mi/h against a 45 mi/h wind from 20 degrees west of north. What should be his air speed?

a. 320 mi/h

b. 340 mi/h

c. 330 mi/h

d. 350 mi/h

The air speed of an airplane is 250 mi/h, and its heading is 45 degrees. The wind is blowing from the north at 30mi/h. Find the ground speed and the course of the plane.

a. 320 mi/h

b. 340 mi/h

c. 330 mi/h

d. 350 mi/h

One of the angles of a triangle measures 31. An adjacent side measures 40 cm and the opposite side is twice as long as the other adjacent side. What are the measures of the other two angles?

a. 13 and 136

b. 16 and 133

c. 14 and 135

d. 15 and 134

An airplane has an air speed of 450 mph and a heading of 60 degrees. A wind is blowing from the north at 42 mi/h. Find the plane's ground velocity.

A voltage regulator with a no-load output dc voltage of 12 V is connected to a load with a resistance of 10 . If the load resistance decreases to 7.5 , the load voltage will decrease to 10.9 V. The load current will be _____, and the percent load regulation is _____.

a. 1.45 A, 90.8%

b. 1.45 A, 10.09%

c. 1.2 A, 90.8%

d. 1.2 A, 10.09%

A transformer is plugged into a 120 V rms source and has a primary current of 300 mA rms. The secondary is providing 18 V across a 10 load. What is the efficiency of the transformer?

A. 88% B. 90%

C. 92% D. 95%

Find the area of a circle transcribed in a rhombus whose perimeter is 100 in and whose longer diagonal is 40 in.

a. 140pi

b. 144pi

c. 138pi

d. 148pi

Find the greatest number of sides that a regular polygon can have and yet still have an integral number of degrees in each interior angle.

a. 180

b. 1440

c. 720

d. 360

Find the area of an isosceles triangle if the measure of one angle is 135 degrees and the lengths of the bases are 10 and 18.

The ratio of the areas of two circles is 9:4. The length of the radius of the larger circle is how many times greater than the length of the radius of the smaller circle?

a. 2 1/2

b. 1 1/2

c. 1 1/4

d. 3 1/2

A clock hangs on the wall of a railway station, 71 ft. 9 in. long and 10 ft. 4 in. high. Those are the dimensions of the wall, not of the clock! While waiting for a train we noticed that the hands of the clock were pointing in opposite directions, and were parallel to one of the diagonals of the wall. What was the exact time?

a. 2:45

b. 2:44

c. 2:42

d. 2:43

An angle formed by the two tangents drawn to a circle from the same external point measures 80 degrees. Find the measure of the minor intercepted arc.

a. 130 degrees

b. 110 degrees

c. 100 degrees

d. 120 degrees

A ball is tossed up 22 ft rebounds to 9/10 of the height from which it falls on each bounce. what is the total distance (up and down) it will travel?

a. 440 ft

b. 445 ft

c. 450 ft

d. 455 ft

A small unshaded electric lamp hangs 6.0 m directly above a table. To what distance should it be lowered to increase the illuminance to 2.25 times its former value?

a. 5.5 m

b. 4.0 m

c. 5.0 m

d. 4.5 m

A car is moving at 20 m/s on a road such that the coefficient of static friction between its tires and the road is 0.80. The minimum distance in which the car can be stopped is _____.

a. 33 m

b. 26 m

c. 31 m

d. 28 m

Two lead balls whose masses are 5.2 g and 0.250 kg are placed with their centers 50.0 cm apart. With what force do they attract each other?

a. 2.47 x 10^10 N

b. 5.47 x 10^10 N

c. 6.47 x 10^10 N

d. 3.47 x 10^10 N

Two balls are thrown vertically upward, one with an initial velocity twice that of the other. The ball will reach a height ______.

a. square root of 2 that of the other

b. twice that of the other

c. 4 times that of the other

d. 8 times that of the other