frictionless cart A of mass 100 kg carries other two frictionless carts B and C having masses 8 kg and 4 kg respectively connected by a string passing over a pulley as shown in the figure. What horizontal force F must be applied on the cart so that smaller carts do not move relative to it ? (Take : g = 10 m/s2)

A row of milk cartons are lined up with masses of 0.280 kg, 0.550 kg and 1.08 kg. The milk cartons are then pushed forward by a 8.80 N force applied to the 0.280 kg milk carton. If the counter is frictionless, how much force does the 0.550 kg milk carton exert on the 0.280 kg milk carton?

Two carts with masses of 4.40 kg and 2.68 kg move toward each other on a frictionless track with speeds of 5.14 m/s and 3.04 m/s respectively. The carts stick together after colliding head-on. Find the final speed.

You push a heavy luggage trolley of mass 80 kg with a force of 100 N.  The trolley was initially at rest and after 4 seconds,it has a speed of 3 m/s. If friction is the only other horizontal force on the trolley apart from the force you exert, find the friction force in the direction of motion of the trolley.

Debbie places two shopping carts in a cart corral. She pushes the first cart, which then pushes a second cart. What force is being exerted?

A string that passes over a pulley has a 0.352 kg mass attached to one end and a 0.683 kg mass attached to the other end. The pulley, which is a disk of radius 9.17 cm, has friction in its axle. What is the magnitude of the frictional torque that must be exerted by the axle if the system is to be in static equilibrium?