A potential energy function for a two- dimensional force is of the form U = ax3y + bx , where a= 5.63J/m4 and b= −9J/m. Find the magnitude of the force that acts at the point (x, y) for x = 84 m, y = 47 m.

A 17.9 kg block is dragged over a rough, horizontal surface by a constant force of 111 Nacting at an angle of angle 31.1◦above the horizontal. The block is displaced 60 m and the coefficient of kinetic friction is 0.152. Find the work done by the 111 N force. The acceleration of gravity is 9.8 m/s2.Answer in units of J. Find the magnitude of the work done by the force of friction.Answer in units of J What is the sign of the work done by the frictional force?1. positive2. negative3. zero Find the work done by the normal force.Answer in units of J What is the net work done on the block?Answer in units of J.

A)A force |F| = 30 N is applied to the object with mass m = 2 kg. The angle theta = 25 degree. The object starts from rest and moves by displacement d = 2  m.  The coefficient of kinetic friction between the object and the floor is 0.2.  In this problem use g = 10m/s^2. The weight of the object is  W = mg. Find the work done on the object by the force F B)From the above question, find the magnitude of the normal force between the object and the floor. Answer in Newton. C)From the above question, Find the work done on the object by friction. Watch out for the sign. D)From the above figure, find the final kinetic energy of the object. Answer in Joule. Hint: You can check your result by comparing a result from work-energy theorem to the result from 1-D motion consideration (F=ma). You should get the same answer

1.49 x 103 J of work are done by the force F (magnitude = 47.4 N) in moving the suitcase a distance of 43.3 m. At what angle θ is the force oriented with respect to the ground?