Cut a sector of angle θ from a circular piece of a paper of radius 5 and join points a and b to make a cone. what is the maximum volume v of the cone? what angle θ gives the maximum volume? numerical exploration can you identify the approximate angle that appears to maximize the volume of the cone? (round your answer to two decimal places.) θ ≈ 50 incorrect: your answer is incorrect. what is the maximum volume? (round your answer to three decimal places.) v = 20 incorrect: your answer is incorrect. does this angle also maximize the surface area of the cone? yes no correct: your answer is correct. if we change the radius of the circular piece of paper, do you think that will affect the angle that gives the largest cone volume? this answer has not been graded yet. analytical solution what is the maximum volume v of the cone? v = incorrect: your answer is incorrect. what angle θ gives the maximum volume? θ =

1134567 a jet with mass m = 1.1 ă— 105 kg jet accelerates down the runway for takeoff at 2 m/s2. 1) what is the net horizontal force on the airplane as it accelerates for takeoff? 2.2*10^5 n your submissions: 2.2*10^5 computed value: 220000submitted: saturday, january 26 at 2: 41 pm feedback: correct! 2) what is the net vertical force on the airplane as it accelerates for takeoff? 0 n your submissions: 0 computed value: 0submitted: saturday, january 26 at 2: 41 pm feedback: correct! 3) once off the ground, the plane climbs upward for 20 seconds. during this time, the vertical speed increases from zero to 21 m/s, while the horizontal speed increases from 80 m/s to 95 m/s. what is the net horizontal force on the airplane as it climbs upward? n 4) what is the net vertical force on the airplane as it climbs upward? n 5) after reaching cruising altitude, the plane levels off, keeping the horizontal speed constant, but smoothly reducing the vertical speed to zero, in 13 seconds. what is the net horizontal force on the airplane as it levels off? n 6) what is the net vertical force on the airplane as it levels off?

Which of the following changes will result in a stronger electromagnet? a. using fewer coils of wire b. using a higher voltage c. using a shorter nail d. using a longer wire

Assume this car is driven off a cliff . how many arrows of force need to be drawn in the free body diagram? assume no air resistance -five -one -three -four