A block with a mass of 2.0kg is on a horizontal surface of negligible friction. The block is attached to one end of an ideal spring. The other end of the spring is attached to a vertical wall as shown. The block is pulled back and released from rest. The graph shows the horizontal position x of the block as a function of time t as the block oscillates on the surface.
A block with a mass of 2.0kg is on a horizontal surface of negligible friction. The block is attached to one end of an ideal spring. The other end of the spring is attached to a vertical wall as shown. The block is pulled back and released from rest. The graph shows the horizontal position x of the block as a function of time t as the block oscillates on the surface.
The block is moving to the right when it breaks away from the spring moving with its maximum linear speed. The block reaches an area with a rough surface that has a coefficient of kinetic friction of 0.200.
- Calculate the distance the block moves on the rough surface as it comes to rest.
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If he block is then replaced with a cylinder of radius 0.25 m and mass 2.0 kg, which is attached to the spring along an axis through its center. The cylinder is placed on a new surface, which allows it to roll while in oscillation. The cylinder is pulled back until the spring is stretched the same distance as in the previous experiment, and the cylinder is released from rest. Will the maximum linear velocity of the cylinder be greater than, less than, or equal to the maximum linear velocity of the block?
- Will the period of the spring’s motion be greater than, less than, or equal to the period of the cylinder’s motion?
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