e)Differentiate between conservative and non conservative forceś.
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- K L water M A 5.10 kg mass attached to a spring is travelling at a speed v; at point K, as shown above. While it is falling it is also being pushed by a spring (k = 475.00 N/m) compressed by 1.60 m (at point K). The mass travels 1.60 m (between K and L) then hits a pool of water at point L where the water exerts an average force of 54.80 N [upwards]. At point L the spring is no longer pushing and begins to stretch (in other words, at point L, x=0). The mass eventually stops at point M. If the distance between L and M is 7.45 m, determine the initial velocity of the mass (v;). Enter an answer with three digits and in S.I. units.Find the work done by pumping all the oil (density = 794.6 kg / m³) over the edge of a cylindrical tank, which is resting on one of its bases. Suppose the radius of the base is 1.2 m, the height is 3.0 m, and the tank is full of oil. ans. 158687.4008 JQ3. An aircraft having a take-off mass of 36500 kg and a wing area of 95 m² fitted with turboprop engines of total power 10000 kW, assumed not to vary with speed, and propellers of 87 per cent efficiency. The drag polar for the aircraft is: C₂-0.0145+0.052C₂² At sea level: (a) Calculate the coefficient of lift at minimum required power, associated speed and the minimum power required for steady level flight. (b) Calculate the maximum rate of climb and angle of climb available to the pilot.
- A mechanic pushes a 2.60 ✕ 103-kg car from rest to a speed of v, doing 4,950 J of work in the process. During this time, the car moves 22.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car. (a) the speed v m/s (b) the horizontal force exerted on the car (Enter the magnitude.) NExample 5.2 Compare the energy required to travel 20 km on a bicycle to that needed by an auto for the same trip. Gasoline has (11.4 kcalg and a density of\0.68 P kg/liter. Assume that the auto can travel 8.5 kṁ on a liter of gasoline. The auto requires 2.35 liters to travel the 20 km.Assume that the energy content in food can be converted to mechanical energy with 100% efficiency. How many chocolate candy bars (each with 330 kcal) would it take to climb Mount Everest (8850 m)? Assume that the mass of the climber, including equipment, is 127 kg. Round up to the nearest whole number.
- A cylindrical tank, shown in the figure, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 ≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 mA mechanic pushes a 2.90 ✕ 103-kg car from rest to a speed of v, doing 4,530 J of work in the process. During this time, the car moves 20.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car. (a) the speed v m/s (b) the horizontal force exerted on the car (Enter the magnitude.) NA block slides across the ground and comes to rest in 12.0 m. muk = 0.200. Find the initial speed using conservation of E. Correct answer: 6.86 m/s
- The electric motor of a model train accelerates the train from rest to 0.520 m/s in 31.0 ms. The total mass of the train is 855 g. Find the average power delivered to the train during its acceleration. WA mechanic pushes a 3.20 × 103 - kg car from rest to a speed of v, doing 5, 340 J of work in the process. During this time, the car moves 20.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car. (a) the speed v m/s (b) the horizontal force exerted on the car (Enter the magnitude.) N