Consider a 189 kg frictionless ramp and a 89 kg block that is at the top of the ramp, 9 m high.  The ramp is not fixed, but can slide frictionlessly across the floor.  The block slides down the ramp to the right (the positive direction).  Calculate the final velocity of the ramp, in m/s.  Assume that no gravitational potential energy is converted to heat. (Please answer to the fourth decimal place - i.e 14.3225)

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?

A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)

A 10 kg block slides down a 7 m long incline that makes an angle of 53 degrees with the horizontal.  The coefficient of kinetic friction between block and incline is 0.3.  Calculate the work done by the normal force as the block slides. (Please answer to the fourth decimal place - i.e 14.3225)

If 370370 J of work is done on a tennis ball with an initial kinetic energy of 475475 J, calculate the final kinetic energy of the tennis ball.

You have an object of mass 30.6 kg. If it is moving at a speed of 7.1 m/s and is a distance of 4.3 m above the ground, what is the total energy of the object, in Joules? (Use the ground as your zero for gravitational potential energy.) Your Answer: Answer

Your answer is partially correct. The summit of a mountain is 5540 m above sea level. (a) How much energy would a 87 kg climber expend against the gravitational force on him in climbing to the summit from sea level? (b) How many candy bars, at 2.13 MJ per bar, would supply an energy equivalent to this? Your answer should suggest that work done against the gravitational force is a very small part of the energy expended in climbing a mountain. (a) Number i 4.728 Units m (b) 2.22

A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through the area swept by the blades. For a large turbine, 110,000 kg of air moves past the blades at 15 m/s every second. If the wind turbine extracts 40% of this kinetic energy, and if 80% of this energy is converted to electric energy, what is the power output of the generator?

A miniature hill in a child’s toy collection is shown below. When released at A, a mass m slides down the path shown below, reaching the bottom (B) with a speed of vB. Assume that the hill has negligible friction. The block then slides along the rough horizontal surface a distance d before coming to rest at C.    When solving parts (a) and (b): Write the useful description about what is known and unknown. Write down the physics principle or strategy you will use. Symbolically solve for the unknowns   (a) Calculate the height of the hill using m=230.0 g and vB = 3.8 m/s (b) What is the coefficient of kinetic friction along the horizontal surface if d=14 m? Hint: Treat the motion down the hill and the motion down the rough horizontal surface as two distinct problems. What physics concepts can you apply for each?

Give a specific example of a system with the energy transformation shown. In the question, W is the work done on the system, and K, U, and Eth are the kinetic, potential, and thermal energies of the system, respectively. Any energy not mentioned in the transformation is assumed to remain constant; if work is not mentioned, it is assumed to be zero. U → ΔEth