A 2.2 kg steel block is at rest on a steeltable. A horizontal string pulls on th

Question

A 2.2 kg steel block is at rest on a steeltable. A horizontal string pulls on the block. (a) What is the minimum string tension neededto move the block?
1 N
(b) If the string tension is 21 N, what isthe block's speed after moving 1.0 m?
2 m/s
(c) If the string tension is 21 N and thetable is coated with oil, what is the block's speed after moving1.0 m?
3 m/s (a) What is the minimum string tension neededto move the block?
1 N
(b) If the string tension is 21 N, what isthe block's speed after moving 1.0 m?
2 m/s
(c) If the string tension is 21 N and thetable is coated with oil, what is the block's speed after moving1.0 m?
3 m/s

Explanation / Answer

mass m = 2.2 kg coeffient of friction between steel and steel = 0.58 (a).  the minimum string tension needed to move theblock = mg                                                                                       = 12.5048 N
(b). the string tension T = 21 N Net force F = T - 12.5048                    = 8.4952 N Accleration a = F / m = 3.861 m / s ^ 2 Let the block's speed after moving 1.0 m be v from the relation v ^ 2 - u ^ 2 = 2aS                                         v = [ 2aS ]    since initial speed u =0                                            = [ 2 * 3.861 * 1]                                            = 2.779 m / s

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