A person pushes a 2.5 kg block at rest on a frictionlesshorizontal table with a

Question

A person pushes a 2.5 kg block at rest on a frictionlesshorizontal table with a 16 N force directed at 25 degrees above thehorizontal. The block travels a distance of 2.2 meters alongethe table. 1. Draw a free body diagram of the block. 2. Calculate the Fx and Fy of the applied force. 3. Calculate the acceleration of the block. 4. Calcuate the speed of the block at 2.2 meters. 5. Calculate the normal force of the block A person pushes a 2.5 kg block at rest on a frictionlesshorizontal table with a 16 N force directed at 25 degrees above thehorizontal. The block travels a distance of 2.2 meters alongethe table. 1. Draw a free body diagram of the block. 2. Calculate the Fx and Fy of the applied force. 3. Calculate the acceleration of the block. 4. Calcuate the speed of the block at 2.2 meters. 5. Calculate the normal force of the block

Explanation / Answer

Mass m = 2.5 kg

Force F = 16 N

Angle = 25 degrees

Distance S= 2.2 m

(a). Fx = F cos 25 = 14.5 N

      Fy = F sin 25 – mg

           =-17.73 N

(b). Accleration of the block a = F cos 25 / m

                                                 = 5.8 m / s ^ 2

(c). Initial speed u = 0

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