PHYS 1301W Lecture 1: A 90.0-kg biker (bike and person) approaches a 10-% hill at a speed…

A 2.00g bead slides along a wire,as shown in figure 8-2. at point A, the bead is at rest. Neglectfriction and use g = 10m/s^2.
What is the kinetic energy of the bead at point B?

A mass m descends a vertical distance from rest.(Neglectfriction and the mass of the string.) A.) from theconservation ofmechanical energy, will the linear speed of thedescending mass be(1) greater than, (2) equal to, or (3) less thanthe square root of2gh? Why? B.) If m=1.0 kg, M=0.30 kg, and R=0.15 m, what is thelinear speed of the mass after it has descendeda vertical distanceof 2.0 m from rest?

The motor M is at rest whensomeone flips a switch and it starts pulling in the rope. Theacceleration of the rope is uniform and it takes 1s to achieve aretraction rate of 4ft/s. After 1s the retraction rate becomesconstant. Determine the tension in the cable during and after theinitial 1s interval. The cargo C weighs 130lb, Pulleys A and B eachweigh 12lb, and the weight of the cable is negligible. Neglectfriction in the pulleys and the rotational inertia of thepulleys.