Please show complete solution, i need the answer in handwritten then send the link to quality image. Don't get if you don't follow the instructions .

item 7&8 only

F: 6 M : 7 S: 6 A: 17

Due: 04 October 2022, Tuesday 12nn Values are assigned to letters which will be used in your exam. The following are the values for the letters: F - number of letters of your first name in your given name = M - number of letters in your middle name = S - number of letters in your sumame = A - your current age = Please write your full name and age to verify the values used for every letter. 1. (2 points each) Express the following in scientific notation. a. FMOS0000 b. 0.000000OFMOOSA 2. (2 points each) Express the following in standard notation. a. F. MOOS x 104-F b. M. SA x 10-F 3. (3 points each) Convert the following units and for very large or small values, express the answer in scientific notation. a. F.M m' to L b. A ha to km c. S km/min to m/s d. The pressure in a tank is 1.0FMS x 10 Pa. Pa stands for pascal, which is equivalent to N/m . What is the atmospheric pressure in terms of dyne/cm-? 4. (2 points each) The reaction time of a student as determine by her teammates in the laboratory are as follows: 2. F s, 1. M s, 1.S s, 1. As, 1. F s a. Compute the student's mean reaction time. b. Solve for the variance of the measurement of the student's reaction time. Express the student's reaction time in terms of standard deviation. c. What is the student's reaction time in terms of relative uncertainty. 5. (5 points) The radius of a sphere is (F.00 1 0.0M) cm. What is the volume of the sphere? (Hint: V = =mr3) Page 1 of 2 6. (6 points) Momentum is defined as the product of mass and velocity. Compute the momentum of a moving object if its mass is (5F.2M + 0.0S) g as it travels (45.2 + 0. F) cm in a time of (3. M + 0.0S) s. 7. (2 points each) Show the following directions in a vector diagram. a. (F . S) south of west b. (S * M) north of east c. southwest 8. (5 points) Going to work, Rain walks 5F. 0 m, 4M. 0 north of east, turns and walks 75.0 m, A. 0 south of east, and then turns and walks 2F.0 m, $0.0 west of north. Using any graphical method, (a) How far and at what angle is Rain's workplace from her house? (b) In what direction would Rain have to head to return to her house? (Use scale: 1 cm = 10 m) 9. (6 points) Chi found a treasure map and it said: "Start at the well, go A0 m straight south, then FOm, 50 north of west, then 2M m straight east, and finally F5 m, 7M south of east." Using the component method of vector addition, how far from the well and in what direction is the hidden treasure? 10. (5 points) Ivy decided to visit the nearby park. To arrive at the park, she walks 50 m, east and A m, 5F south of west. Find her displacement using the laws of sine and cosine. 11. (5 points) Gale is 2A m and 35. 0 north of west from her initial position. She walked from her initial position to her final position in two stages. In the first stage of her walk, she walked A0 m at 2F. 0" south of east. How far and in what direction did she walk in the second part to reach her final position? 12. (16 points) Given A = Fi - Mj - Sk and B = -Al - Mj + Sk. Find: a. The magnitude of A b. The magnitude of B C. A+B d. A-B e. A . B f. The angle between A and B g. AXB