a) Find the resultant force and calculate its magnitude and direction (relative to the positive x-axis) (b) This resultant force now acts on an object (modelled as a particle) of mass 12kg. Find the acceleration and calculate its magnitude.

The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 5.00 x 10-15 m apart, and (b) what is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u.

A 10.0 kg mass hangs from a rope, as shown in the figure. The rope passes over a fixed pulley, then under a movable pulley, and is attached to the ceiling as shown. The movable pulley has a mass m attached to it and moves at a constant speed. Find the tension in the rope. Assume that the masses of the pulleys are negligible.

Two teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team's members has an average mass of 73 kg and exerts an average force of 1375 N horizontally. (a) What is the acceleration (in m/s? in the direction the heavy team is pulling) of the two teams? 0.18 v m/s? in the direction the heavy team is pulling (b) What is the tension (in N) in the section of rope between the teams? 12639.6 X N