In the figure, a 1.4 g ice flake is released from the edge of a hemispherical bowl whose radius r is 21 cm. The flake-bowl contact is frictionless. (a) What is the speed of the flake when it reaches the bottom of the bowl? (b) If we substituted a second flake with 3 times the mass, what would its speed be? (c) If, instead, we gave the flake an initial downward speed 1.4 m/s along the bowl, what would the answer be? Ice flake- K

A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.48 m/s. The pulling force is 92 N parallel to the incline, which makes an angle of 20.6° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.06 m. (a) How much work is done by the gravitational force on the crate? (b) Determine the increase in internal energy of the crate-incline system owing to friction. (c) How much work is done by the 92-N force on the crate? (d) What is the change in kinetic energy of the crate? (e) What is the speed of the crate after being pulled 5.06 m? m/s

While running, a person dissipates about 0.600 J of chemical energy to mechanical energy per step per kilogram of body mass. If a 75.0 kg runner dissipates energy at a rate of 83.0 W during a race, how fast is the person running? Assume a running step is 1.50 m long.

A 58-kg diver is standing on a platform that is 35 meters above the surface of the water. He steps off the platform with zero initial velocity and descends toward the water below. Assuming that no energy is lost to his surroundings, how much kinetic energy (in joules) does the diver have right before he hits the water?