Assuming that the Earth has a uniform density p = 5540.0 kg/m³, what is the value of the gravitational acceleration ga at a distance d = 5400.0 km from the Earth's center? 8d = m/s

12. An express bus travels directly from A-town to B-ville. A local bus also links these two towns, but it goes west 30 km from A-town to C-city, then 30 km south to D-ville, and finally 12 km west to E-town and 30 km northeast to B-ville. (a) What is the shortest distance from A-town to B-ville? (b) In what direction does the express bus travel? (c) If the express bus takes 0.45 h to go from A-town to B-ville, and the local bus takes 3.0 h. calculate the average speed and the average velocity for each bus.

An object is dropped from rest and takes 2.42 seconds to reach the ground below. From what distance above the ground was it dropped? State this as a positive number and assume it has proper SI Units.

Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

Answer A and B

1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Suppose you first walk A = 12 m in a direction 20° west of north and then B= 20 m in a direction 40° south of west. Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5% set for this problem. Keep all answers to 4 significant figures.

Other possible answers 1.9 x 10^-12 N, -y direction 1.0 x 10^-12 N, into the page 1.7 x 10^-12 N, out of the page

Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and - 2i + 6j + 4k lb. i + V X k) lb R = ( -0.206 0.92 j+ | 0.3

(a) What is the unit vector in the direction of ? (Express your answer in vector form.) ñ = <

Can you answer problem 9? Can you also provide a short explanation for the answer you chose?