Find the work done by the following force field F(x, y) = 8(y+6)i + 72x (y + 6)8 j in moving an object from P(5, -6) to Q(2, -4), along any path.
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- A particle is moved along the r-axis by a force F(x) = 6² + 4x – 2. How much work is done in moving the particle from x = -1 to x = 2? (a) 12 (b) 14 (c) 16 (d) 18 (e) 20A particle is moved along the x-axis by a force F (x) = 6x² + 4x - 2. How much work is done in moving the particle from x = -1 to x = 2? | (а) 12 (b) 14 (c) 16 (d) 18 (e) 20linearise R = AT + BT2
- Find the work done by the force F= (1,3) in moving an object from A(4, 5) to B(-2, 8).Find the work done by a force F of 12 pounds acting in the direction (3,1) in moving an object 8 feet from (0,0) to (8,0).A force field is given by the equation. A particle is moved from (1,0,0) to (1,1,1) along a straight line. Calculate the work done by the force field on the particle.
- Find the work done by the force F = xyi + (y - x)j over the straight line from (1,-3) to (3,-9).A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)The force on a particle is described by 4x³ + 6 at a point î along the x-axis. Find the work done in moving the particle from the origin to x = 8.