A constant force vector F = (2,8) moves an object along a straight line from the point (2, 5) to the point (13, 10). Find the work done if the distance is measured in feet and the force is measured in pounds.

Step-by-step explanation:

I will ASSUME that the force vector F = 2i + 8j

which has a magnitude of

F = √(2² + 8²) = √68

which has a direction of

θ = arctan (8/2) = 75.96°

The movement has a distance of

d = √((13 - 2)² + (10 - 5)²) = √146 ft

and a direction of

φ = arctan((10 - 5)/(13 - 2)) = 24.44³

the angle between force and motion is

75.96 - 24.44 = 51.52°

Work is the force in the direction of motion times the distance moved.

W = Fd = (√68)(cos51.52)(√146) = 62 J

or we could just break it into components

x direction work = Fd = 2(13 - 2) = 22 J

y direction work = Fd = 8(10 - 5) = 40 J

total work W = 22 + 40 = 62 J

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.