A solid cone with height 9 m and base with radius 2.7 m is built using a lightweight material whose density is 600. Constructing this cone requires work against gravity: the required work is (include units in your answer and write "pi" [without quotes] to enter ).
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![A solid cone with height 9 m and base with radius 2.7 m is built using a lightweight material whose density is 600
m³
gravity: the required work is
Constructing this cone requires work against
(include units in your answer and write "pi" [without quotes] to enter π).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fbd450e-4001-48ec-b588-2b2bd77c6f3b%2F2691bd1e-653f-476d-b7fa-71d3c18af976%2Fbvl0p1_processed.png&w=3840&q=75)
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- Needs Complete typed solution with 100 % accuracy.(b) Summarize the two ways you calculate a scalar product (also called a dot product).(c) Use both methods to calculate ~a ·~b for each of the following cases:(i) if ~a = (−4, −9) and ~b = (−1, 2)(ii) if |~a| = 10, θa = 30◦ and |~b| = 2, θb = 120◦. Note that both angles are definedwith respect to +x-axis.(1) What is, in MW, the power generated by a turbine that has a power coefficient equal to 0.24 when the wind speed is 10.3 m/s and the blades have a length of 34 m? Round off your answer to 2 decimal places and do not include the unit. (2) What is the length, in meters, of the blades of a turbine that generates 1.3 MW of power when the wind speed is 9.5 m/s. Assume a power coefficient of 0.36. Round off your answer to a whole number (no decimals) and do not include the unit. Using the equation: P= 0.5 * air density * Pie *R^2 * V^3*Cp CP= in MW air density is 1.3 kg/m^3 not 1.22
- 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 AirThe force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 25 N, b = 11 rad/m, and k = 68 N/m. Enter a general equation in terms of the given variables for the work required to compress this spring from position x1 to x2. Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 21 cm. Calculate the work done in joules as the spring is compressed from x1 = 21 cm to x2 = 66 cmSuppose that 5 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 43 cm. (a) How much work is needed to stretch the spring from 34 cm to 39 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length will a force of 30N keep the spring stretched? (Round your answer one decimal place.) cm
- Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length of 35 cm. (a) How much work (in J) is needed to stretch the spring from 31 cm to 33 cm? (Round your answer to two decimal places.) J (b) How far beyond its natural length (in cm) will a force of 10 N keep the spring stretched? (Round your answer one decimal place.) cmThis is on other question I cannot figure out on the quizlet. Thanks for your helpPlease show or state thinking
- How can the three bricks be stacked so that the top brick has maximum horizontal displacement from the bottom brick? For example, stacking them like the dotted lines suggest would be unstable and the bricks would topple. (Hint: Start with the top brick and work down. At every interface the CG of the bricks above must not extend beyond the end of the supporting brick.)A swimming pool is round, full of contaminated water, and has an 11 foot radius. It is 11 feet tall and has 4 feet of water in it.How much work is required to remove all of the contaminated water by pumping it over the side? (Use the physical definition of work, and the fact that the weight of the contaminated water isσ=63.2lbs/ft3 )What is the dot product A•B if A = 2x - 3y and B = 15x + 10y?