Suppose that you want to compute the work done on a spring with a resting length of 2 meters by extending it to a length of 8 meters, by integrating the required force. What should the bounds of your integral be? (Assume the units of all choices are given in meters) a) Oto 8 b)2 to 8 c)2 to 10 d) 0 to 10 e) 0 to 6

Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.

2- A constant force of (2kN) pulls a box along a level floor a distance of (10 m) in (50 s). What is the power used?

12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the water's surface is at its top (p=1000kg/m³ and g=9.8m/s²).

The hydraulic cylinder on a woodsplitter has a 4-inch bore (diameter) and a stroke of 2 feet. The hydraulic pump creates a maximum pressure of 2000 pounds per square inch. Therefore, the maximum force created by the cylinder is 2000( π . 22 ) 8000 π, pounds :- Find the work done through one extension of the cylinder, given that the maximum force is required?

The 0.50 lb ball is shot from the spring device shown. The spring has a stiffness k = 10 lb/in. and the four cords C and plate P keep the spring compressed 2 in. when no load is on the plate. The plate is pushed back 3 in. from its initial position. (Eigure 1) If it is then released from rest, determine the speed of the ball when it travels 23 in. up the smooth plane. Express your answer to three significant figure and include the appropriate units. HA Value ft/s v = 30

Hello, please answer the following attached Calculus question correctly and show all your work completely without skipping any steps. Please handwrite your work.

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y 0.3x² and below the line y 180. (Here, distances are measured in meters.) The water level is 36 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000kg/m³, and the acceleration of gravity is 9.8m/sec².) Answer:

Part E: Vectors MindBook decides to diversify their portfolio and invest in the "RoboMap" technology which is a robot that maps different types of territories. The new CEO is trying to make some drastic changes to some of the software and hardware systems in the new version of the robot. You have been hired by the opposing faction in the board to lead an investigation on how the performance of the robot is affected by the new proposed changes. a) The first system that you will test is the navigation system. The robot maps the territory by calculating distances and angles whilst moving between various locations. It then stores on its system the shortest direct path from initial location to the intended target. During the test the robot navigates around a muddy surface in the following path: 55cm [NW] and then moves 45cm [S30°W]. The robot sends back to the server the following overall shortest path: 70cm [W10°S]. Use triangle or parallelogram method to verify the precision of the…