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Given a potential energy function U(x), the corresponding force F is in the posi

ID: 1415146 • Letter: G

Question

Given a potential energy function U(x), the corresponding force F is in the positive x direction if: U is positive U is negative U is an increasing function of x U is a decreasing function of x it is impossible to obtain the direction of F from U A 25-g ball is released from rest 80 m above the surface of the Earth. During the fall the total thermal energy of the ball and air increases by 15 J. Just before it hits the surface its speed is 19 m/s 36 m/s 40 m/s 45 m/s 53 m/s A ball of mass m. at one end of a string of length L. rotates in a vertical circle just fast enough to prevent the string from going slack at the top of the circle. The speed of the ball at the bottom of the circle is: squareroot 2gL squareroot 3 gL squareroot 4 gL squareroot 5 gL squareroot 7 gL

Explanation / Answer

14 :- U = qV = - (E . dr) = -(F/q).dr
So, Force is in positive X direction if U is a decreasing function of x.

D.

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