Answered: leaky 10-kg bucket is lifted from the… | bartleby

Related questions

Question

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 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.)
Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x;* as
X;.)
lim
n→ 00
n
i = 1
Ax
Express the work as an integral.
dx
Evaluate the integral. (Round your answer to the nearest integer.)
J

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

An oil pump is drawing 44 kW of electric power while pumping oil with r = 860 kg/m3 at a rate of 0.1 m3/s. The inlet and outlet diameters of the pipe are 8 cm and 12 cm, respectively. If the pressure rise of oil in the pump is measured to be 500 kPa and the motor efficiency is 90 percent, determine the mechanical efficiency of the pump.
Using the data presented in the pressure-versus-volume drawing below (x = 1.15E+4 Pa and y = 1.80E-3 m3), calculate the magnitude of the work done when the system changes from A to B to C along the path shown.
Why do we not use brakes with more than 80% efficiency in automobiles? Whatshould be the minimum stopping distance for a car running at 80 kph?
Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 10-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.
Power Equation 7.39 As shown, water at 15°C is flowing in a 15 cm-diameter by 60 m-long run of pipe that is situated horizontally. The mean velocity is 2 m/s, and the head loss is 2 m. Determine the pres- sure drop and the required pumping power to overcome head loss in the pipe. Component Pump 60 m PROBLEM 7.39 Water 1 (2
This problem is asking for Joules for part (a) and m/s for part (b).
Cephalopods, such as octopi and squids, can use a form of jet propulsion to move quickly through the water. This technique of locomotion is useful in providing short bursts of speed to catch prey and to avoid predators, and it gives them the title of fastest marine invertebrates. Oxygenated water is taken in by the cephalopod and then expelled by muscular contraction through an opening called the hyponome. Assume a 5.0 kg squid draws in 0.44 kg of water and then quickly (in 0.12 s) expels this water at a speed of 10.1 m/s. What is the recoil speed of the squid just after the water is expelled?
When a .22-caliber rifle is fired, the expanding gas from the burning gunpowder creates a pressure behind the bullet. This pressure causes the force that pushes the bullet through the barrel. Suppose the barrel has a length of 0.633 m and an opening whose radius is 2.67 x 10-3 m. A bullet (mass = 2.6 x 10-3 kg) has a speed of 348 m/s after passing through this barrel. Ignore friction and determine the average pressure of the expanding gas.
If a piston pushes on a cylinder of gas with a force of 2750 Newtons through a stroke of 4.00 cm, how much work did it do? Remember, the metric unit of work is a Joule.
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 It
How much work is done when a piston is compressed from 7.71 L to 4.98 L under constant atmospheric pressure (1.013 x 105 Pa)? Give your answer in joules.
Let W = (2.70 ✕ 105 J) ln(Vf /Vi). Solve for the unknown quantity in each of the following cases: (a) the final volume Vf is three times the initial volume Vi W= ______Joules (b) the initial volume is 1.00 m3 and the work W is 3.25 ✕ 105 J Vf = ______ m3

SEE MORE QUESTIONS