A rectangular wooden block of dimensions 50 cm 20 cm and 10 cm is with...
Calculating the Weight of the Wooden Block:
- The volume of the wooden block can be calculated using the formula V = l x b x h, where l = 50 cm, b = 20 cm, h = 10 cm.
- Converting the dimensions to meters, we get l = 0.5 m, b = 0.2 m, h = 0.1 m.
- Therefore, the volume of the wooden block is V = 0.5 x 0.2 x 0.1 = 0.01 cubic meters.
- Given that the density of wood is 2000 kg/m^3, the weight of the wooden block can be calculated using the formula weight = density x volume x g, where g = 10 m/s^2.
Calculating the Work Done:
- When the block is resting on its larger surface, the gravitational force acts perpendicular to the surface, resulting in no work being done to keep it in place.
- However, when the block is resting on its smaller surface, the gravitational force acts at an angle to the surface, requiring work to be done to balance the block.
- The work done in this case can be calculated using the formula work = force x distance.
- The force in this case is the weight of the block calculated earlier, and the distance is the height of the block (10 cm or 0.1 m).
- Therefore, the work done to keep the block with the smaller surface in contact with the table is equal to the weight of the block multiplied by the height of the block.
In conclusion, the amount of work done to keep the rectangular wooden block with its smaller surface in contact with the table can be calculated using the weight of the block and the height of the block.
A rectangular wooden block of dimensions 50 cm 20 cm and 10 cm is with...
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