A base ball player wants to hit a home run over the far wall of a stadium. He hi

Question

A base ball player wants to hit a home run over the far wall of a stadium. He hits the ball 1 meter above the ground so that its speed is 38.2 m/s and such that it makes an angle of 30 degree with respect to the horizontal. What is the tallest wall the player's ball can clear 120 m away? 1.3 m 2.4m 3.7 m 4.2 m 5.8 m A block of mass M = 2 kg is on a stationary inclined plane inclined with an angle theta = 30 degree . A horizontal rope is attached to the block and is pulled to the right with tension T. The tension remains horizontal even in the event that the block moves down the plane. The coefficient of static friction between the block and the inclined plane is mu s = 0.7 and the coefficient of kinetic friction mu s = 0.5. Which of the following is the correct free-body diagram for the block?

Explanation / Answer

Given data : ho = 1 m

                   vo = 38.2 m/s

                    = 30o

                    X = 120 m

X = vo.cos .t

t = X/(vo.cos ) = 120/(38.2.cos 30o) = 3.627 s

h = ho + vo sin .t - 0.5.g.t2 = 1 + 38.2.sin 30.(3.627) - 0.5.(9.8).(3.6272) = 5.82 m

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