Particles of mass 4kg and 2kg are connected by a light string passing over a smooth fixed pulley. The particles hang freely and are released from rest. Find the acceleration of the two particles and the tension in the string. Let the acceleration be a and the tension in the string be T. kg

You have been chosen as the test subject for the newest attraction at Canada’s Wonderland. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a collision with a plunger attached to a large spring that brings the ride to rest. The plunger/spring mechanism is composed of a large spring with a mass of 62.5 kg made of pure iron..The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass to the system. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 12750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e. 49.0 m/s2).   Before you start:   What is your approximate mass in kilograms?   MY MASS IS 82 kg     In order to stop the ride, the cart collides with the…

An object of mass 5kg is given an initial downward velocity of 50 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is -10v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 600 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m divided by sec ^2 and let x(t) represent the distance the object has fallen in t seconds

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.