Two forces act on a 5.0 kg object. The net acceleration of the object is 2.5 m/s? in the +x direction. If Force 1 is 60.0 N and makes an angle 30° with +x direction. Find the x and y components of the Force 2

Two known forces, F1=2.95 N at 78 degrees above the x-axis and F2=3.55N at 39 degrees below the x-axis are acting upon an object. What is the magnitude of the third force, F3, so that the acceleration of the object is 0?

A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 140.0 N at an angle of 17.0° above the horizontal. The box has a mass of 25.0 kg, and the coefficient of kinetic friction between box and floor is 0.300. (a) Find the acceleration of the box. m/s² up the incline (b) The student now starts moving the box up a 10.0° incline, keeping her 140.0 N force directed at 17.0° above the line of the incline. If the coefficient of friction is unchanged, what is the new acceleration of the box? m/s² up the incline

In this problem take the angles from the +x-axis.Three tugboats are pushing on a 810 kg boat when it suddenly breaks free from a sandbar. The first boat pushes with a force of 522 N in a direction of 37 degrees. The second boat pushes with a force of 1210 N in a direction of 118 degrees. The third boat pushes with a force of 494 N in a direction of 315 degrees. What are the x and y components of the acceleration of the boat when it starts moving?

A person of weighing 0.83 kN rides in an elevator that has an upward acceleration of 0.8 m/s2. What is the magnitude of the force of the elevator floor on the person, in newtons?

A 63.0-kg box is pulled by a rope making an angle of  θ = 22.0°  with the horizontal. The tension in the rope is  34.5 N.  (Assume the surface the box slides across is frictionless.)If the box starts from rest, determine the time required to move the box a horizontal distance of 2.67 m.

A 5 kg box is being subjected to the following Forces: 5 N North 11 N West 17 N South 3 N East 14 N E30°N Solve for the (a) acceleration in unit vector form (b) magnitude and (c)direction.

Two skaters are on an icy pond (no friction). They have masses m1 = 65.0 kg and m2 = 80.0 kg. They are each holding one end of a rope. The heavier skater starts exerting a force of F = 125 N. The rope tautens so that it has a tension T. What is the acceleration of each skater, and what is the tension in the rope?

A 34.8 kg child is sitting at the top of a slide, which is inclined at an angle of 55 degrees with respect to the horizontal. Someone gives the child a quick push to get them moving, after which they slide down the incline without any further assistance. The coefficient of kinetic friction between the child and the slide is μ s  = 0.44. What is the magnitude of the acceleration (in m/s2) of the child?

Two masses, m1 = 5 kg and m2 = 4 kg, are situated on a frictionless horizontal surface and connected by a rope. A force, F = 18 N, on the mass to the right. Determine the magnitude of the acceleration, a, of the two masses movingon the horizontal surface. Determine the tension T in the rope.