2. A SOLID sphere is dropped from rest as shown in the figure. The mass, rolls without sliding and after leaving the table top follows a projectile path towards the ground.(25 points)Let the little height, h = 80 cm and the big height, H = 1.5 meters. Find the value of ”x” Remember that the solid sphere has a moment of inertia, I = 2/5∗m∗R2. You can also take gravity, g= 10m/s^2

Acave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift is performed in three stages, each requiring a vertical distance of 10.0 m: (a) the initially stationary spelunker is accelerated to a speed of 4.90 m/s; (b) he is then lifted at the constant speed of 4.90 m/s; (c) finally he is decelerated to zero speed. how much work is done on the 68.0 kg rescue by the force lifting him during each stage?

Convection currents are caused by differences in what two things?

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.