How much work does an elevator motor do raising a mass of 1176 kg vertically 15.3 m?
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How much work does an elevator motor do raising a mass of 1176 kg vertically 15.3 m?
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- The construction company outside is raising a 200 foot steel beam using a crane. At the start, it's laying flat on the ground. The bottom of the beam will always remain in the same exact spot on the ground, but the top of the beam will be pushed up until it's standing straight up. During this process, there is an angle between the beam and the ground that is increasing at a rate of .8 radians per minute. When the height of the beam is 100 feet (where height refers to the distance between the top of the beam and the ground), at what rate is this height increasing?Water stands 40 ft above the top of a vertical gate which is 6 ft square and weighs 3000 lb. What vertical lift will be required to open the gate if the coefficient of friction between gate and guides is 0.3?8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the angle between the line and the ground changing when 400 ft of line is out? 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108 inches wide by turning up √108 inches on each side. What is the depth of the gutter for the greatest carrying capacity? Give your answer in exact form(not decimal form). 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and the altitude is 4 ft if the altitude is increasing at 6 inches per min and the radius is constant?
- A 400 N block slides on a horizontal plane by applying a horizontal force of 200 N and reaches a velocity of 10 m/s in a distance of 30 m from rest. Which of the following gives the coefficient of friction between the floor and the block? A. 0.24 B. 0.27 C. 0.33 D. 0.39 E. none of the above Which of the following gives the total distance that the block will move until it stops if the 200 N force is removed when it reaches 30 m from west. A. 45.43 m B. 47.88 m C. 49.17 m D. 51.64 m E. none of the above Which of the following gives time the block moves a distance of 30 m from rest. A. 4s B. 5s C. 6s D. 7s E. none of the aboveA hydraulic lift is used to jack a 960-kg car 42 cm off the floor. The diameter of the output piston is 18 cm, and the input force is 380 N. (a) What is the area of the input piston? (b) What is the work done in lifting the car 42 cm? (c) If the input piston moves 13 cm in each stroke, how high does the car move up for each stroke? (d) How many strokes are required to jack the car up 42 cm? (e) Show that energy is conserved.A stone is thrown vertically upward from the ground with a velocity of 300ft/s. How long must one wait before dropping a second stone from the top of a 600 ft tower if the stones are to pass each other 180 ft from the top of the tower?
- A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground. The other end of the rope is attached to a truck at a point A, 2ft above the ground. If the truck moves off at the rate of 9ft/sec, how fast is the weight rising when it is 6ft above the ground? * 9. V3 ft/sec 5 V2 fu/sec 4 V3 fu/sec V3 fusecAn open tank of 2m height is filled with water. How high must its side be if no water to be spilled when the tank is subjected to horizontal acceleration of 4.5m/s2?Q2/ You want to move a 400-N crate across a level floor by pulling upward on the rope at an angle of 30° above the horizontal. How hard must you pull to keep it moving with an acceleration of a = 0.5 m/s² ? Assume that µ = 0.30.
- An open horizontal tank 2m high, 2m wide and 4m long is full of water. How much water is spilled out when the tank is accelerated horizontally at 2.45 m/sec^2 in a direction parallel with its longest side?Traversing A 100 m tape weighing 30 N is suspended between the two ends under a standard pull of 180 N. The correct distance between the tape ends is m.A ladder 6-m long leans against a vertical wall with the lower end on a level floor. The upper end moves down the wall at the rate of 5 cm/s. Determine how fast the lower end is sliding on the floor when the upper end is 3 m from the floor. Express your answer in cm/s.