Question
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?
Answers
drwls
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
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
nona
The answer is T = 1.96 + 0.4 = 2.39 N