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December 18, 2014

Homework Help: physics

Posted by Sandhya on Monday, October 27, 2008 at 11:30pm.

A 1.00 kg hollow ball with a radius of 2.2^10^-1 m, filled with air, is released from rest at the bottom of a 1.50 m deep pool of water. How high above the water does the ball shoot upward if the upward force exerted by the fluid on the ball 40 N? Neglect all frictional effects, and neglect the ball's motion when it is only partially submerged.

I used energy consideration & got the following answer. But the answer is incorrect.Please point out where i have gone wrong

Under the water you have the net force on the ball; F= 40 N. That force acts over

a distance D (1.5 m in this case) and thus does work on the ball giving it some
KE as it leaves the water: KE = FD. = 40*1.5 = 60 J

To find out how high the ball rises in the air, set that initial KE to the PE at the top

of the motion: KE = FD = 60 J = mgH. Now solve for H. where m = 1 kg

H = 60/1*9.8

= 6.12 m

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