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
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.
To find the greatest and least pressure exerted by the plastic block on the ground, we need to calculate the pressure using the formula:
Pressure = Force / Area
1. Greatest Pressure:
The force exerted by the plastic block is equal to its weight, which is given as 25 N.
To calculate the area, we need the contact area of the block with the ground. Since the block is rectangular, the contact area is equal to the length multiplied by the width.
Area = Length * Width
Given:
Length = 34 cm = 0.34 m
Width = 25 cm = 0.25 m
Area = 0.34 m * 0.25 m = 0.085 m^2
Now we can calculate the greatest pressure:
Greatest Pressure = Force / Area
= 25 N / 0.085 m^2
≈ 294.12 N/m^2
Therefore, the greatest pressure exerted by the plastic block on the ground is approximately 294.12 N/m^2.
2. Least Pressure:
The least pressure will occur when the block is balanced on one of its edges. In this case, the contact area will be reduced to the dimension of the smallest side.
The smallest side of the block is its height, given as 10 cm = 0.1 m.
The contact area for the least pressure:
Area = Length * Height = 0.34 m * 0.1 m = 0.034 m^2
Now, we can calculate the least pressure:
Least Pressure = Force / Area
= 25 N / 0.034 m^2
≈ 735.29 N/m^2
Therefore, the least pressure exerted by the plastic block on the ground is approximately 735.29 N/m^2.
To calculate the pressure exerted by the plastic block on the ground, we need to use the formula:
Pressure = Force / Area
First, let's calculate the area of the block's base:
Area = Length x Width
Area = 34cm x 25cm
Area = 850 cm^2
Now, let's convert the weight of the block from Newtons (N) to kilograms (kg):
Weight = 25 N
Weight = Mass x Acceleration due to gravity
We know that the acceleration due to gravity is approximately 9.8 m/s^2, so we can calculate the mass as:
Mass = Weight / Acceleration due to gravity
Mass = 25 N / 9.8 m/s^2
Now, let's convert the mass from kg to grams (since the area is in cm^2):
Mass = (25 N / 9.8 m/s^2) * 1000 g/kg
Mass = 2551.02 g
Now we have both the mass and the area, so we can calculate the pressure:
Pressure = (Weight / Area) = (Mass x Acceleration due to gravity) / Area
Greatest Pressure:
To calculate the greatest pressure, we consider the scenario where the entire weight of the block is concentrated on a single point (the smallest possible area). In this case, the area would be equal to the area of one face of the block:
Greatest Pressure = (Weight / Area) = (Mass x Acceleration due to gravity) / (Length x Width)
Least Pressure:
To calculate the least pressure, we consider the scenario where the entire weight of the block is distributed evenly across the entire base of the block. In this case, the area would be equal to the area of the base:
Least Pressure = (Weight / Area) = (Mass x Acceleration due to gravity) / (Length x Width)
Now that we have the formulas, let's calculate the greatest and least pressure:
Greatest pressure = (Mass x Acceleration due to gravity) / (34cm x 25cm)
Least pressure = (Mass x Acceleration due to gravity) / (850 cm^2)
By substituting the values of mass, acceleration due to gravity, and area into the formulas, you can calculate the greatest and least pressures exerted by the plastic block on the ground.