A plastic block weighing 25n has a dimension 34cm by 25cm by 10cm.what is the greatest pressure and the least pressure it can exent on the ground

1 answer

To find the greatest pressure exerted by the plastic block on the ground, we need to find the smallest area of contact between the block and the ground.

The smallest area of contact is when the block is resting on one of its largest faces (34 cm by 25 cm).

The area of contact is calculated by multiplying the length and width of the face:
Area = 34 cm * 25 cm = 850 cm² = 0.085 m²

To find the greatest pressure, we divide the weight of the block (25 N) by the smallest area of contact:
Greatest pressure = 25 N / 0.085 m² = 294.12 N/m² or 294.12 Pa

Now, to find the least pressure exerted by the plastic block on the ground, we need to find the largest area of contact between the block and the ground.

The largest area of contact occurs when the block is resting on one of its smallest faces (25 cm by 10 cm).

The area of contact is calculated by multiplying the length and width of the face:
Area = 25 cm * 10 cm = 250 cm² = 0.025 m²

To find the least pressure, we divide the weight of the block (25 N) by the largest area of contact:
Least pressure = 25 N / 0.025 m² = 1000 N/m² or 1000 Pa

Therefore, the greatest pressure exerted by the plastic block on the ground is 294.12 Pa and the least pressure is 1000 Pa.