Quiz 2:

1. Use dimensional analysis to determine which of the following equations is dimensionally correct

• A. time ² = distance ⁄ acceleration
• B. time ² = distance ⁄ speed ²
• C. time ² = acceleration ⁄ speed
• D. time ² = speed ⁄ acceleration
• E. time ² = acceleration ⁄ distance

2. Approximate the order of magnitude of the following product: 7 * 867 * 452 * 78 * 3 * 5432

• A. 3486833348544
• B. 1e10
• C. 1e13
• D. 1e9
• E. 1e12

3. 6 Mm is equal

• A. 6e-9 mm
• B. 6e-8 mm
• C. 6e-6 mm
• D. 6e9 mm
• E. 6e6 mm

4. 7.2 km ⁄ hr is equal to

• A. 2000 m ⁄ s
• B. 25.92 m ⁄ s
• C. 7200 m ⁄ s
• D. 2592 m ⁄ s
• E. 2 m ⁄ s

5. 7 cm ³ is equal to...

• A. 7e-9 m ³
• B. 7e6 m ³
• C. 7e-4 m ³
• D. 7e4 m ³
• E. 7e-6 m ³

6. 9 g ⁄ cm 3 is equal to...

• 0.09 kg ⁄ m ³
• 0.009 kg ⁄ m ³
• C. 90,000 kg ⁄ m ³
• D. 900 kg ⁄ m ³
• E. 9000 kg ⁄ m ³

7. The two legs of a right angled triangle are 19 m and 16 m long. Calculate the length of the hypothenus

• A. 4.991 m
• B. 33.55 m
• C. 24.839 m
• D. 46.718 m
• D. 43.816 m

8. One of the legs of a right angled is 20 m long. Calculate the length of the hypothenus if the angle between this leg and the hypothenus is 40 degrees.

• A. 30.754 m
• B. 26.108 m
• C. 12.979 m
• D. 22.478 m
• D. 43.722 m

9. The hypothenus of a right angled triangle is 10 m long. Calculate the length of one of its legs, if the angle opposite to this leg is 30 degrees.

• A. 9.164 m
• B. 4.458 m
• C. 5 m
• D. 1.655 m
• E. 5.837 m

10. One of the legs of a right angled triangle is 80 m. The angle opposite to this leg is 50 degrees. Calculate the length of the other leg.

• A. 100.102 m
• B. 73.908 m
• C. 126.868 m
• D. 92.562 m
• E. 67.128 m

11. The hypothenus of a right angled triangle is 14 m long. One of its legs is 5 m long. Calculate the angle opposite to this leg.

• A. 4.835 deg
• B. 8.122 deg
• C. 10.259 deg
• D. 24.313 deg
• E. 20.925 deg

12. The cartesian coordinates of a certain point are ( x, y ) = ( 35, 60 ) m. Calculate the polar coordinates ( r, θ ).

• A. (14.091 m, 24.677 deg )
• B. (69.462 m, 59.744 deg )
• C. (69.462 m, 72.213 deg )
• D. (56.072 m, 59.744 deg )
• E. (56.072 m, 72.213 deg )

13. The polar coordinates of a certain point are ( r, θ ) = ( 22 m, 70 deg ). Calculate its cartesian coordinates ( x, y ).

• A. (7.524 m, 20.673 m )
• B. (11.714 m, 20.673 m )
• C. (7.524 m, 35.147 m )
• D. (11.714 m, 35.147 m )
• E. (4.647 m, 5.393 m )