The figure shows a bal with mass m 0.395 ka attached to the end of a thin rod wi

Question

The figure shows a bal with mass m 0.395 ka attached to the end of a thin rod with length L o.s21 m and n The her end of th pivoted 50 that the ball can move in a vertical incle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing ly upward positio speed th ch is done an he ball by the gra highest point egligible on the right level with the initial point? tha gravitational potent af the bal-Farth system is kan to be Taro at the initial point, what is it the ball (d) the lowest paint, the highest pai and (f) the point on the right leval with the initial point?

Explanation / Answer

given that

mass of ball m = 0.395 kg

rod length L = 0.521 m

(a) Work done in moving from initial position to lowest position

W = m*g*L

= 0.395*9.81*0.521

= 2.02 J

(b) Work done in moving from initial position to highest position

W = - m*g*L

= - 0.395*9.81*0.521

= - 2.02 J

(c) Work done in moving from initial position to level position

W = 0

(d) Potential at lowest point

U = m*g*y

= - m*g*L

= - 2.02 J

(e) Potential at highest point

U = m*g*y

= m*g*L

= 2.03 J

(f) Potential at level point

U = m*g*y

= m*g* (0)

= 0

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