at is the force on

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 2x², y = x² +5

The gravitational force on a 10 kg object at a distance r meters from the center of the Earth is F = Newtons. Find the work done in moving the object from the surface of the Earth to a height 106 meters above the surface. The radius of the Earth is 6.4 × 106 meters. 4 x 1015 p²

A rock with a mass of 15 kilograms is put aboard an airplane in New York City and flown to Boston. How much work does the gravitational field of the earth do on the rock? Newton-meters

Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One Newton (N) is equal to 1 kg-m and the g2 force due to gravity on the wagon is F = m * g, where m is the mass of the wagon, and g is the acceleration due to gravity (9.8 ). Please ignore friction in this problem. Hint: draw a picture, and express the forces on the wagon as vectors. Force N

7.) A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is r/4 rad? de 3JZrad de 22 rad/s C. dt 5sec dt de 4JZrad b. de v2 d. rad/s dt 5sec dt 5 5.

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…

A water trough 12 m long has ends shaped like inverted isosceles triangles, with base 6 m and height 4 m. Find the force on one end of the trough if the trough is full of water. Use pg = 9800 N/m³. O 56,800 N O 356,800 N O 256,800 N O 156, 800 N

21. The massive Three Gorges Dam on China's Yangtze River has height 185 m (Figure 16). Calculate the force on the dam, assuming that the dam is a trapezoid of base 2000 m and upper edge 3000 m, inclined at an angle of 55° to the horizontal (Figure 17). 3000 m 185 m 2000 m FIGURE 16 Three Gorges Dam on the Yangtze River. (Reuters/STR/Landov) FIGURE 17