A particle was subjected to a force F, that varies with position as described by the F vs. x graph below. How much work was done by the force on the body as it moves from x = 0 to x = 10.0 m? (Ans: 22.5 J) 4.00 3.00 F N 2.00 1.00 0.00 0.0 5.0 10.0 15.0 X, m

I need help with this question. Can you draw a simple free body diagram if possible too? I will rate thank you!

Problem 4: A ball of mass m is connected to two rubber bands of length L, cach under temsion T, as shown in the Figure. Assume the tension does not change. (a) The ball of mass m is in equilibrium. Draw a free-body diagram on m. (b) Since the ball of mass m is in equilibrium, Enet y = 0. Use Fnet.y=0 to find the equilibrium position for the ball yo. Hint: sin 0=yo/L, Answer: yo = mgL/(2T'). |Yo L. T. L т (c) The ball of mass m is now displaced slightly from equilibrium, as shown in the figure below. Draw a free-body diagram on m. (d) Use Newton's 2nd Law: Fnet,y = ma = -m to show that the motion of m satisfies the SHM differential equation + w²u = 0, where u = y – Yo and w = since the downward gravitational force on the ball is larger than the two upward tension forces on the ball. Hint: sin 0 = y/L. Also, from part (b), yo = mgL/(2T). We can rewrite this expression as mg = 2T(yo/L). Use this expression to substitute for mg in Newton's 2nd Law: Fnet.y = -ma = -my | 2T. For this problem…

a 12.0 kg box is sitting motionless on a plane, which is tilted to an angle of 30 degrees. what must the minimum value of the coefficient of static friction between the box and the surface of the plane be, so that the box does not move? include a system diagram and a FBD in your solution,