4 kg block resting on a frictionless horizontal ledge is attached to a string th

Question

4 kg block resting on a frictionless horizontal ledge is attached to a string that passes over a pulley and is attached to 1) (a) Find the speed of the 2 kg block after it falls from rest a distance of 2.5 m. m/s Submit You currently have 0 submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question. 2) (b) What is the angular velocity of the pulley at this time? rad/s Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

decrease in potential energy = increase in kineticenergy

2 * 9.8 * 2.5   = (1/2) * 2 *v2 + (1/2) * 4 * v2 + (1/2) I 2   of pulley

49 =   v2 + 2v2   + (1/2) [ (1/2) m r2 ] (v / r)2

49 = 3v2    +    (1/4) * 1kg *v2

49 = 3.25 v2

v = 3.883 m/s   is the speed

.the angular velocity of the pulley is

. = v / r = 3.883 /0.13 = 29.86 rad/s

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