Presumable the string, with the ball on it, is being moved vertically upward. Assume is is being accelerated by a constant force F while moving upward a distance H, and increasing its velocity to V.
The work done by that force, T*H, must equal the increase in total energy, M g H + (1/2) M V^2.
T is the string tension. V is the final velocity.
T = M*g + M*V^2/(2H)
Compute T
A 200 g ball is lifted upward on a string. It goes from rest to a speed of 2.0 m/s in a distance of 1.0 m. What is the tension in the string?
2 answers
The answer is T = 1.96 + 0.4 = 2.39 N
2 answers