The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s2. What pressure is exerted by the box where it rests?
how do i solve this?
i hate that no one knows
To solve this problem, you need to use the formula for pressure:
Pressure = Force / Area
In this case, the force exerted by the box is the weight of the box, which can be calculated using the formula:
Force = mass * acceleration due to gravity
First, convert the surface area from cm^2 to m^2 by dividing by 10000:
Area = 31.4 cm^2 / 10000 = 0.00314 m^2
Next, calculate the force exerted by the box:
Force = 47.1 kg * 9.80 m/s^2 = 461.58 N
Finally, substitute the values into the pressure formula:
Pressure = 461.58 N / 0.00314 m^2
Calculating this, the pressure exerted by the box where it rests is approximately 147,076.43 Pa (Pascals).