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14. A 507-kg hot-air balloon takes off from rest at the surface of the earth. Th

ID: 1583423 • Letter: 1

Question

14. A 507-kg hot-air balloon takes off from rest at the surface of the earth. The non- conservative wind and lift forces take the balloon up, doing 322000 J of work on the balloon in the process. At what height above the surface of the earth does the balloon have a speed of 8.05 m/s? (61.5 m) 15. The (non-conservative) engine force propelling a 1.50 x 103-kg car up a mountain road does 6.80 x 106 J of positive work on the car. The car starts from rest at sea level and has a speed of 28.0 m/s at an altitude of 1.80 x 10 m above sea level. Obtain the work done on the car by the combined forces of friction and air resistance, both of which are non-conservative forces. (3570000 J) 16. During a hockey game, a player gives a hockey puck an initial speed of 1.35 m/s in an

Explanation / Answer

14) We know that total work done = chane in KE

322000 - mgh = 0.5 mv^2

322000 - 507*9.8* h = 0.5*507*8.05^2

h = [-0.5*507*8.05^2 + 322000]/( 507*9.8)

=. 61.5 m answer

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