Find the work done by a force f = 6i − 8j + 9k that moves an object from the point (0, 10, 4) to the point (4, 16, 18) along a straight line. the distance is measured in meters and the force in newtons.

102 J

Explanation:

Work done by a force

= Force x displacement

In case of vector form of force and displacement , we take dot product of force and displacement to calculate work.

The vector form of line which joins the two given points is given by the equation

d = (4-0) i +(16 - 10)j +( 18 - 4 )k

= 4i +6j +14k

Work done = F . d

(6 i -8J+9k) . ( 4i +6 j + 14 k )

24-48 +126

= 102 J

the bal will not change its velocity.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.