Question 2 An infinitely long, flat cliff has stones (to be treated as point masses) hanging off it spaced 1 metre apart starting at position n = 1. The stone at position n has masses 1 kg and is attached to a 2 m long wire with negligible weight. The first three stones are drawn in Figure 2. 4n How much work is required to pull up all the stones to the top of the cliff? Assume work is measured in newton-meters. If you need to use the acceleration due to gravity constant 9, leave it as-is. DO NOT approximate g by a numerical value. 1 2 3 → n FIGURE 2. Point masses hanging off a cliff.

When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.

A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.

A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.

Determine the arc dimension x in inches to 3 decimal places.

Measure the lengths of g-k in Figure 30-26 to the nearer whole millimeter.

The bolt in Figure 136 has 7.7 threads. Determine the pitch to 3 decimal places. All dimensions are in inches.