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Sagot :
SOLUTION
To determine the pressure exerted by the block on the table, we can use the formula for pressure, which is:
- Pressure = Force / Area
In this case, the force exerted by the block on the table is its weight, which can be calculated using the formula:
- Force = mass x gravity
Where:
- mass = 15 kg
- gravity = 9.8 m/s^2 (the acceleration due to gravity)
- Force = 15 kg x 9.8 m/s^2 = 147 N
The area of the block's surface that is in contact with the table is the area of the rectangle, which can be calculated using the formula:
- Area = length x width
Where:
- length = cm = 0.7 m
- width = 40 cm = 0.4 m
- Area = 0.7 m x 0.4 m = 0.28 m^2
Now, we can plug in the values we've calculated into the pressure formula:
- Pressure = Force / Area
- Pressure = 147 N / 0.28 m^2 =.29 Pa
Therefore, the pressure exerted by the block on the table is 519.29 Pascals.
Explanation:
To calculate the pressure exerted by the rectangular block on the table, we can use the formula for pressure:
Pressure = Force / Area
Given:
- Weight of the block = 15 kg
- Length of the block = 70 cm = 0.7 m
- Width of the block = 40 cm = 0.4 m
First, we need to find the force exerted by the block, which is equal to its weight:
Force = Mass * Acceleration due to gravity
Force = 15 kg * 9.81 m/s² (standard acceleration due to gravity)
Force = 147.15 N
Next, we need to calculate the area of contact between the block and the table, which is the product of the length and width of the block:
Area = Length * Width
Area = 0.7 m * 0.4 m
Area = 0.28 m²
Now, we can calculate the pressure exerted by the block on the table:
Pressure = Force / Area
Pressure = 147.15 N / 0.28 m²
Pressure ≈ 525.54 Pa
Therefore, the block exerts a pressure of approximately 525.54 Pascal on the table.
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