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| 1 | |
A bug starts at point A, crawls 8.0 cm east, then 5.0 cm south, 3.0 cm west, and 4.0 cm north to point B. (a) How far north and east is B from A? (b) Find the displacement from A to B both graphically and algebraically. |
| | A) | (a) 5.0 cm - EAST, 1.0 cm - SOUTH, (b) 5.10 cm - 11.3° SOUTH OF EAST |
| | B) | (a) 11.0 cm - EAST, 1.0 cm - SOUTH, (b) 11.1 cm - 5.2° SOUTH OF EAST |
| | C) | (a) 5.0 cm - EAST, 1.0 cm - NORTH, (b) 5.1 cm - 11.3° NORTH OF EAST |
| | D) | (a) 5.0 cm - EAST, 9.0 cm - SOUTH, (b) 10.1 cm - 60.9° SOUTH OF EAST |
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| 2 | |
What displacement must be added to a 50 cm displacement in the +x-direction to give a resultant displacement of 85 cm at 25 degrees? |
| | A) | 69 cm at 90° |
| | B) | 45 cm at 37° |
| | C) | 62 cm at 82° |
| | D) | 45 cm at 53° |
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| 3 | |
Starting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the Ñx-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically and algebraically. |
| | A) | 97 mm at 158° |
| | B) | 134 mm at 153° |
| | C) | 157 mm at 142° |
| | D) | 97 mm at 22° |
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| 4 | |
Compute algebraically the resultant of the following coplanar forces: 100 N at 30 degrees, 141.4 N at 45°, and 100 N at 240°. Check your result graphically. |
| | A) | 0.341 kN at 0° |
| | B) | 0.335 kN at 45° |
| | C) | 0.15 kN at 65° |
| | D) | 0.15 kN at 25° |
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| 5 | |
What displacement at 70 °; has an x-component of 450 m? What is its y-component? |
| | A) | (a) 1.3 km, (b) 1.2 km |
| | B) | (a) 0.48 km, (b) 0.16 km |
| | C) | (a) 0.15 km, (b) 0.45 km |
| | D) | (c) 0.42 km, (b) 0.42 km |
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| 6 | |
A marble, rolling with speed 20 cm/s, rolls off the edge of a table that is 80 cm high. (a) How long does it take to drop to the floor? (b) How far, horizontally, from the table edge does the marble strike the floor? |
| | A) | (a) 4.0 s, (b) 4.0 cm |
| | B) | (a) 8.2 s, (b) 0.8 cm |
| | C) | (a) 0.16 s, (b) 1.6 cm |
| | D) | (a) 0.40 s, (b) 8.1 cm |
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| 7 | |
A body projected upward from the level ground at an angle of 50°; with the horizontal has an initial speed of 40 m/s. (a) How long will it take to hit the ground? (b) How far from the starting point will it strike? (c) At what angle with the horizontal will it strike? |
| | A) | (a) 3.1 s (b) 0.19 km (c) 90° |
| | B) | (a) 6.3 s (b) 0.16 km (c) 50° |
| | C) | (a) 4.1 s (b) 0.25 km (c) 40° |
| | D) | (a) 9.2 s (b) 0.08 km (c) 45° |
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| 8 | |
A body is projected downward at an angle of 30°; with the horizontal from the top of a building 170 m high. Its initial speed is 40 m/s. (a) How long will it take before striking the ground? (b) How far from the foot of the building will it strike? (c) At what angle with the horizontal will it strike? |
| | A) | (a) 8.3 s, (b) 0.084 km, (c) 90° |
| | B) | (a) 4.4 s, (b) 0.167 km, (c) 45° |
| | C) | (a) 3.1 s, (b) 0.086 km, (c) 30° |
| | D) | (a) 4.2 s, (b) 0.15 km, (c) 60° |
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| 9 | |
A hose lying on the ground shoots a stream of water upward at an angle of 40°; to the horizontal. The speed of the water is 20 m/s as it leaves the hose. How high up will it strike a wall which is 8.0 m away? |
| | A) | 5.36 m |
| | B) | 8.38 m |
| | C) | 6.71 m |
| | D) | 6.66 m |
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| 10 | |
A ball is thrown upward at an angle of 30 °; to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown? |
| | A) | 11 m/s |
| | B) | 20 m/s |
| | C) | 16 m/s |
| | D) | 5230 m/s |
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