a) Determine the magnitude of the acceleration on the rope. b) Calculate the tension of the rope 4. Two spheres, labeled A and B, have identical masses, but are made of different substances. The specific heat capacity of sphere A is 645 J(kg C) and that of sphere B is 240 J(kg C). The spheres are initially at 21 "C, and the same quantity of heat is added to each sphere. If the final temperature of sphere A is 74 "C, what is the approximate final temperature of sphere B? 5. A 2.00-kg metal object requires 1.00% 104 J of heat to raise its temperature from 20.0 C to 40.0 C. What is the specific heat capacity of the metal? 6. In a certain clock, a pendulum of length L, has a period 0.95 s. The length of the pendulum is adjusted to a new value L2 such that T 1.0 s. What is the ratio LUL? 7. What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string? 8 A1.8 Kg basketball is trough upward with an initial speed of 8.1 m/s (Neglect air resistance). a) Determine the kinetic energy of the ball at its highest point. b)What is it's the highest altitude reached by the ball? c) what is the total mechanical energy at the ball in any point of trajectory? 9 A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley. At this location, the period of the pendulum is decreased by 3.00%. What is the value of g in Death Valley? In a projectile motion experiment a ball is shot horizontally from a gun from a height of 1.18 m. The ball lands 2.3 m away. 10. In the same projectile motion experiment what was the time of flight? 11. In the same projectile motion experiment What is the muzzle velocity of the ball as it shot from the gun?A 12. In the drawing, the weight of the block on the table is 422 N and that of the hanging block is 185 N. Ignoring all frictional affects and assuming the pulley to be massless,
