Question

As shown in Figure 1, a block (mass: 2.4 kg) is initially at rest near the...

As shown in Figure 1, a block (mass: 2.4 kg) is initially at rest near the top of an inclined plane, oriented at a 25° angle above the horizontal. The coefficients of static and kinetic friction along the incline are 0.2 and 0.1, respectively.

  1. (a) Just after the block is released from rest, draw a free-body diagram for it. (Assume that the block is moving after being released from rest.)

  2. (b) Determine the magnitude of the normal force acting on the block.

  3. (c) After the block is released from rest, show that it will accelerate down the plane.

  4. (d) Determine the magnitude of the frictional force acting on the block after it’s released from rest.

  5. (e) If the block travels a total distance of 2.3 m down the inclined plane, determine both the acceleration of the block and the time it takes the block to travel that distance.

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