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pressure=(101ce)/(area) A block exerts a force of 5 N on the ground. Calculate the pressure the block exerts on the ground , in N/m^2 , when it is a) flat on the ground, so that the area of its base is 0.04m^2 b) standing up on its side, so that the area of its base is 0.025m^2

Question

pressure=(101ce)/(area)
A block exerts a force of 5 N on the
ground.
Calculate the pressure the block
exerts on the ground , in N/m^2 , when
it is
a) flat on the ground, so that the area
of its base is 0.04m^2
b) standing up on its side, so that the
area of its base is 0.025m^2

pressure=(101ce)/(area) A block exerts a force of 5 N on the ground. Calculate the pressure the block exerts on the ground , in N/m^2 , when it is a) flat on the ground, so that the area of its base is 0.04m^2 b) standing up on its side, so that the area of its base is 0.025m^2

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JessicaElite · Tutor for 8 years

Answer

After calculating the above equations, we get:<br /><br />\( P_1 = 125 N/m^{2} \) and<br />\( P_2 = 200 N/m^{2} \).

Explain

## Step1:<br />We are given the force a block exerts, its base areas in two different positions, and we need to calculate the pressure in both conditions. The definition of pressure is the force applied per unit area. The mathematical representation is:<br /><br />### \(\boldsymbol{ P = \frac{F}{A} }\)<br /><br />where:<br />- \(F\) represents the force (in Newtons),<br />- \(A\) represents the area (in square meters), and<br />- \(P\) represents the pressure (in Pascal, which is \(N/m^{2}\)).<br /><br />## Step2: <br />When the block is lying flat on the ground, its base area is \(0.04 m^{2}\). Using the above formula, we substitute \(F = 5N\) and \(A = 0.04m^{2}\):<br /><br />### \(P_1 = \frac{5N}{0.04m^{2}}\)<br /><br />## Step3:<br />During the third step, calculate the pressure when the area is \(0.025 m^{2}\). Likewise like in step 2, substitute \(F = 5N\) and \(A = 0.025m^{2}\):<br /><br />### \(P_2 = \frac{5N}{0.025m^{2}}\)
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