Two carts, A and B, roll on inclined planes with negligible friction. Cart A has a mass of 1.3 kg and it is on a plane inclined at an angle of ? θ ? θ = 63 degrees. Cart B has a mass of 2.5 kg and it is on a plane inclined at an angle of ? ϕ ? ϕ = 14 degrees. The carts are connected by a (nearly) massless string that runs over a (nearly) massless and frictionless pulley. Find the tension (in newtons) in the string.

The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 02 = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number Units M²1 m2 02/

Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.

Two objects are connected by a massless cable passing over a frictionless pulley. Object A is positioned on a table, while object B hangs freely. The coefficient of kinetic friction between object A and the table is 0.09950. If the mass of object A is 150 kg, and the mass of object B is 238 kg, what is the acceleration of the objects?

Two teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 72 kg and exerts an average force of 1350 N horizontally. Each of the second team's members has an average mass of 77 kg and exerts an average force of 1373 N horizontally.   (a) What is the acceleration (in m/s2 in the direction the heavy team is pulling) of the two teams?

In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force É A of magnitude 222 N, and Charles pulls with force magnitude 188 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the c of direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 140° Betty (a) Number i Units (b) Number i Units

A 83.2 kg person is standing inside an elevator. The elevator is moving upward at 2.54 m/s and is decreasing speed at a rate of 1.82 m/s^2. What is the normal force that is acting on the person?