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- (a) What is the efficiency of an out-of-condition professor who does 2.30 ✕ 105 J of useful work while metabolizing 510 kcal of food energy? ...........%(b) How many food calories would a well-conditioned athlete metabolize in doing the same work with an efficiency of 15%?............ kcalA 150-g particle on the inside of a smooth hemispherical bowl of radius R 35.0 cm (see the figure below) is released from point A at rest. Its speed at B is 1,10 m/s. (a) What is its kinetic esergy at B? T h (b) How much mechanical energy is lost as a result of friction as the particle goes from A to B2 (c) Is it possible to determine u from these results in a simple manner? O Yes O No Explain. ..A 43-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.5 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.
- A swimming pool is round, full of contaminated water, and has an 11 foot radius. It is 11 feet tall and has 4 feet of water in it.How much work is required to remove all of the contaminated water by pumping it over the side? (Use the physical definition of work, and the fact that the weight of the contaminated water isσ=63.2lbs/ft3 )A student evaluates a weight loss program by calculating the number of times she would need to climb a 10.0 m high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 10'J of chemical energy and the body can convert about 21.2% of this into mechanical energy (the rest goes into internal energy.) HINT (a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat? (b) How many trips up the flight of steps are required for the 52.0 kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy required to return down the stairs. trips Need Help? Read It Watch ItA 59-kg pole vaulter running at 10 m/s vaults over the bar. Her speed when she is above the bar is 1.3 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.
- (a) A steel ball of mass 0.2 kg is projected vertically upwards, from the top of a building 100 m high, with an initial velocity of 40 m.s. Ignore air frietion and calculate: i. the total mechanical energy of the ball the time it was projected. ii. the total mechanical energy of the ball the time it reached the ground level (i.e at the bottom of the building) -1 iii. the total mechanical energy of the ball the time it reaches its maximum height above the ground. iv. the velocity of the ball the time it reached the ground level v. time taken by the ball to reach the ground level from the time it was projected vi. the maximum height above the ground the ball reached vii. the velocity of the ball the time it was 20 m above the ground (b) Two objects of mass 12 kg and 8 kg respectively move towards each other at velocities 10 m.s and 5 m.s respectively. If the objects unite during collision, calculate the resultant velocity. Page 5A trough is 5 meters long, 1.5 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 1.5 meters). The kg trough is full of water (density 1000- ). Find the amount of work in m3 joules required to empty the trough by pumping the water over the top. (Note: Use g = 9.8 as the acceleration due to gravity.) s2 5m 1.5m 1mA 47-kg pole vaulter running at 11 m/s vaults over the bar. Her speed when she is above the bar is 1.2 m/s. Neglect air resistance, as well as any energy absorbed by the pole, and determine her altitude as she crosses the bar.
- 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.)Suppose that the average U.S. household uses 14100 kWh (kilowatt-hours) of energy in a year. If the average rate of energy consumed by the house was instead diverted to lift a 1690 kg car 15.8 m into the air, how long would it take? car: S Using the same rate of energy consumption, how long would it take to lift a loaded Boeing 747 airplane, with a mass of 3.90 x 10° kg, to a cruising altitude of 9.42 km? airplane: SA hurricane wind blows across a 8m x 17m flat roof at a speed of 135 km/h. Calculate the force exerted on the roof. Hint: The thickness of the roof is small, so the change in potential energy between the inside of the house and the outside can be approximated to be zero. ρair =1. 28 kg/ m3 .