A 1 000-kg car is pulling a 300-kg trailer. Together, the car and trailer have an acceleration of 2.15 m/s2 in the positive x-direction. Neglecting frictional forces on the trailer, determine (a) the net force on the car, (b) the net force on the trailer, (c) the magnitude and direction of the force exerted by the trailer on the car, and (d) the resultant force exerted by the car on the road.

A crate is sitting on a horizontal surface where the coefficient of static friction is 0.60. A worker pushes horizontally on the crate, which has a mass of 45 kg. The crate does not move, and there are no other forces acting on it. Which of the following statements is true?       (a) The force of friction on the crate is mgμs.       (b) The force of friction on the crate is mgμk.       (c) The force of friction on the crate is greater than the force that the worker exerts on the crate.           (d) The force exerted on the worker by the crate is equal in magnitude to the force of friction exerted by the surface on the crate.

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 3.60 ✕ 10−15 m apart?   (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.

Two forces FA and FB are applied to an object whose mass is 7.20 kg. The larger force is FÁ .When both forces point due east, the object's acceleration has a magnitude of 0.453 m/s?. However, when FA points due east and Fg points due west, the acceleration is 0.337 m/s?, due east. Find (a) the magnitude of FA and (b) the magnitude of FB. (a) Number i Units (b) Number i Units