A 20 ft long cable hangs from a pulley system located on the roof of a tall building. Set up an integral that can be used to find the amount of work required to lift the cable to the top of the roof if the density of the cable is 1.5 lb per foot. DO NOT INTEGRATE
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- A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is ô = 1070 kg/m³. Your answer must include the correct units. Work =|1. A 40 meter chain hangs vertically from a cylinder attached to a winch. Assume there is now friction in the system and the chain has a density of 5 kg/m. How much work is required to wind only the first 12 meters of the chain around the winch if there is a 25 kg block attached to the end of the chain?please help with question number 10, 12,13, 14 and 15
- 18..A pump is required to lift 800 kg of water per minute from a well 13.8 m deep and eject it with a speed of 17.9 m/s. How much work is done per minute in lifting the water? How much work is done in giving the water the kinetic energy it has when ejected?1. Some species of whales can dive to depths of 800m. What is the total pressure they experience at this depth? (The density of sea water = 1020 kg/m, and 1 ATM =10$ N/m) A 15.0-kg object is pulled along a horizontal surface at a constant speed by a 25 N force acting at 30° above the horizontal. How much work is done by this force as the object moves 10.0 m? A force of F = 3i + 0.5j – 5k), N is applied to a particle located at r = 2i +4k, m. Determine a) The torque vector; b) The angle between the vectors F and r 3. 4. A ball of mass Mi = 0.250 kg and velocity Voi = +5.00 m/s collides head-on with a ball of mass M2 = 0.800 kg initially at rest. No external forces act on the balls. If the collision is perfectly inelastic, find the velocity of mi after collision? Voi M1 M2 2.
- And the volume is V T. (radius)" - height. 3. A spring has a resting length of 10 cm. A 40 N force is required to stretch the spring to a length of 20 cm. How much work is done in stretching the spring from 40 cm to 50 cm? Hint: The force for a Hookean spring is given by F = kx, where k is the spring constant and a is how much the spring has been stretched. The work done by a force F(x) moving an object from a = a to 1 = b is given by =- F(x) dr MacBook Air4. A 4.7 kg block is pushed 3.1 m up a vertical wall with constant speed by a constant force of magnitude Fapplied at an angle 8=35° with the horizontal, as shown in the Figure. If the coefficient of kinetic friction between block and wall is 0.23, determine a) The work done by F, b) the work done by the force of gravity, c) the work done by the normal force between block and wall. d) By how much does the gravitational potential energy increase during the block's motion? FA box slides down a plank of length d that makes an angle of θ with the horizontal as shown. μk is the kinetic coefficient of friction and μs is the static coefficient of friction. Enter an expression for the minimum angle θ (in degrees) the box will begin to slide. Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest and θ is large enough that it will move down the plank. For a plank of any length, at what angle θ (in degrees) will the final speed of the box at the bottom of the plank be 0.55 times the final speed of the box when there is no friction present? Assume μk = 0.35.
- Ā C. ETIVATS, JOCES, TO m Completion Status: QUESTION 14 Which of the five graphs correctly shows the potential energy of a spring (spring obeys Hooke's law) as a function of its elongation X? U кк ка IV Ο.Α.Ι OB. II OC. III OD.IV OEV of three particles on which external Cove All AnswsWhen a 3.00-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.90 cm. (a) If the 3.00-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? Hint-When an object is 'hung' from a spring, the spring force is equal in magnitude to the gravitational force. cm (b) How much work must an external agent do to stretch the same spring 4.00 cm from its unstretched position? JEstimate how many 30 lb bags of mulch an average student in your physics class can load into the bed of a pickup truck in 5.0 min. The truck bed is 4.0 ft off the ground. If you assume that the magnitude of the work done on each bag by the student equals the magnitude of the work done on the bag by gravity when the bag is lifted into the truck, what is the average power output of the student? Express your result in watts and in horsepower.