1.) A 100-kg box on the right and a 45-kg box on the left are tied together by a horizontal cable. The 100-kg box is acted upon by an external force of 560 N to the right. The frictional force exerted by the floor on the 100-kg box is 40 N and the frictional force exerted by the floor on the 45-kg box is 15 N. What is the magnitude of the tension in the connecting cable?
2.) Two people play tug of war. The 100-kg person on the left pulls with 1,000 N, and the 70-kg person on the right pulls with 830 N. Assume that neither person releases their grip on the rope with either hand at any time, assume that the rope is always taut, and assume that the rope does not stretch. What is the magnitude of the tension in the rope in Newtons?
3.) A 69-kg woman in an elevator is accelerating downward at a rate of 1.3 m/s2. What is the magnitude of the force exerted by the elevator floor on the woman's feet?
4.) In a fit, a toddler throws straight down his favorite 2 kg toy with an initial velocity of 1 m/s. What is the magnitude of the velocity in m/s of the toy when it strikes the ground 0.5 seconds later?