If the total work done on the system is 1.2658 J, determine the final velocity of the block (by relating work and kinetic energy). Write only the numerical value without the unit. Do not include the sign. Use up to 4 decimal places.
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If the total work done on the system is 1.2658 J, determine the final velocity of the block (by relating work and kinetic energy). Write only the numerical value without the unit. Do not include the sign. Use up to 4 decimal places.
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- . Use the definition of scalar product, a two vectors given by a = 5.0 + 5.0 b = ab cos 0, and the fact that a b = axbx + aby + a2b₂ to calculate the angle between the + 5.0k and b = 7.01 +3.0 + 3.0k.An archer using a simple bow exerts a force of 189 N to draw back the bow string 0.49 m. (Assume the given force is the force exerted at the very end of the pull.) (a) What is the total work (in J) done by the archer in preparing to launch her arrow? (Hint: Compute the total work as: total work = 1 2 [Ffinal − Finitial]d.) J (b) If all the work is converted into the kinetic energy of the arrow upon its release, what is the arrow's speed (in m/s) as it leaves the bow? Assume the mass of the arrow is 0.021 kg and ignore any kinetic energy in the bow as it relaxes to its original shape. m/s (c) If the arrow is shot straight up, what is the maximum height (in m) achieved by the arrow? Ignore any effects due to air resistance in making your assessment. (Assume the arrow is initially 2 m from the ground.) mA vertical right-circular cylindrical tank measures 28 ft high and 14 ft in diameter. It is full of liquid weighing 62.4 lb/ft³. How much work does it take to pump the liquid to the level of the top of the tank? Set up the integral that gives the work required, in ft-lb, with y = 0 corresponding to the bottom of the tank. (Type an exact answer, using as needed.)
- Problem 2: A certain spring has a spring constant k₁ = 660 N/m as the spring is stretched from x = 0 to x1 = 35 cm. The spring constant then changes to k₂ = 250 N/m as the spring is stretched to x2= 65 cm. From x₂= 65 cm to x3 = 89 cm the spring force is constant at F3 = 105 N.A tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.8 m/s? for g. Use 1,000 kg/m³ as the density of water. Round your answer to the nearest whole number.) 3 m 9 mAn 64 kg man runs up stairs and reaches 10 mheight for 12 s. what is his power? Use g = 9.8 m/s ^ 2 Calculate answer to one decimal.