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# solution28 - fullwood(tf5349 TEST 1 Catala(49033 This...

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fullwood (tf5349) – TEST 1 – Catala – (49033) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The mass of a solid cube is 1160 g, and each edge has a length of 4 . 67 cm. Find the density of the cube. Correct answer: 11389 . 6 kg / m 3 . Explanation: Let : m = 1160 g and L = 4 . 67 cm . Since 1 g = 10 3 kg and 1 cm = 10 2 m, and the density is ρ = m V = m L 3 = (1160 g) (4 . 67 cm) 3 · parenleftBig cm 10 2 m parenrightBig 3 parenleftbigg 10 3 kg g parenrightbigg = 11389 . 6 kg / m 3 . 002 (part 1 of 2) 10.0 points A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 39 with the positive x axis. The second has a magnitude of 7 . 7 m and makes an angle of 156 with the positive x axis. (see the figure below). After the third displacement the particle returns to its initial position. 156 39 15 m 7 . 7 m Find the magnitude of the third displace- ment. Correct answer: 13 . 3947 m. Explanation: Given : bardbl vector A bardbl = 15 m , θ a = 39 , bardbl vector B bardbl = 7 . 7 m , and θ B = 156 .

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