1. A child is on a playground swing, motionless at the highest point of his arc. What energy transformation takes place as he swings back down to the lowest point of his motion? A. K→U̟ B. Ug→K С. Еһ —К D. Ug→Eth

Given data: work done3D500 J Force%3D25 N Find displacement

Need help on question 5 and 6. please show work and equations clearly.

REMARKS Only simple geometries-rectangles and triangles-can be solved exactly with this method. More complex shapes require calculus or the square-counting technique in the next worked example. QUESTION When stretching springs, does half the displacement require half as much work? (Select all that apply.) U > Yes, because the work is equal to the force times the distance. Yes, because the spring exerts a constant force. Yes, because half the displacement means the force from the spring is half as large. No, because the spring does not exert a constant force. No, because the force of the spring is proportional to x. No, because the force exerted by the spring is proportional to x². X Consider the expression for the work done by an applied force. Under what conditions is the work done equal to simply a value of the force multiplied by the displacement? Do those conditions apply to the present problem - consider why or why not. Consider how the force exerted by the spring depends on its…

Show and explain the complete solution with the formulas. Label the symbols used accordingly.

Indicate the one with more potential energy and explain why. A full plane or an empty plane (both are flying )?

Q1- What are the values of A and B which make the vector field F = Ax sin(ny) i + (x² cos(ny) + Bye-?)j+ y²e=²k Conservative. Then, find the work done for such conservative vector field from point (0,0,0) to (1.;,2).

Find the angle between the 500 N applied force and the 3-meter displacement if the work done is 1500 Joules. Write the solution pls thank you!!

How to get the solution for these problems? (Answers are given)

How did you solve D? Wouldn't it's distance be different from that of Point 1 to Point 2 as would be Point 3 to Point 2 and shouldn't that effect the answer for work needed to be done?